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EPOCH -1: ILLEGAL NUMBERS(imaginary and indeterminate numbers)√-∞: IMAGINARY INFINITY√-FOOT10(10100): IMAGINARY BIG FOOT√-E100#^^#100: IMAGINARY TETHRATHOTH√-G(64): IMAGINARY GRAHAM’S NUMBER√-10200: IMAGINARY GOOGOL√-4: IMAGINARY TWO-(√-1)+1: I+1-√-1: IMAGINARY ONE0/0: INDETERMINATE QUOTIENT∞/∞: INDETERMINATE QUOTIENT 20*∞: INDETERMINATE PRODUCT∞-∞: INDETERMINATE DIFFERENCE1∞: INDETERMINATE POWER∞0: INDETERMINATE POWER 2EPOCH 0: NEGATIVE NUMBERS(-∞ to 0)-∞: NEGATIVE INFINITYThis is the smallest number possible. It often appears in calculus. Infinity, unfortunately, is not allowed in googology, so the honor of smallest googological number goes to…-the largest number?k?such that there is some unary formula???in the language?{∈?,Q}?(where?Q(a,b)?R(a)=b) of quantifier rank?≤12↑↑12?such that??!a(?(a))∧?(k): NEGATIVE SASQUATCHThis is the smallest defined number. It was a byproduct of Sasquatch being defined. But since this is not well-defined, let’s move on.-the largest number defined using no more than a kungulus?symbols in some K(gongulus) system: NEGATIVE OBLIVIONThis number is not defined, only described. So it is also invalid.-FOOT10(10100): NEGATIVE BIG FOOTFinally we reach a “well” defined number. This is the smallest valid googolism! (Note: This may be kind of ill-defined, so some people claim the largest valid googolism is the Large Number Garden Number. Its negative isn’t included, because it is lesser known.)-Rayo(10100): NEGATIVE RAYO’S NUMBER -{{L100,10}10,10&L,10}10,10: NEGATIVE MEAMEAMEALOKKAPOOWA OOMPAThe smallest defined number by Jonathan Bowers, so to speak. The smallest large number by Jonathan Bowers is decker.-E100{#,#,1,2}100: NEGATIVE BLASPHEMORGULUSOne of the smallest numbers by Sbiis Saibian.-E100#^^#100: NEGATIVE TETHRATHOTH-{10,10(100)2}: NEGATIVE GONGULUS-{10,10(1)2}: NEGATIVE GOOBOL-G(64): NEGATIVE GRAHAM’S NUMBER-{10,10,100}: NEGATIVE BOOGOL-{10,100,2}: NEGATIVE GIGGOL-ee^e^79: NEGATIVE SKEWES‘ NUMBER-1010^100: NEGATIVE GOOGOLPLEXEach googolism automatically defines 4 new ones. This is one of the variations of the googolplex.-10100: NEGATIVE GOOGOL-40: NEGATIVE FORTYThis number is the crossing point of Fahrenheit and Celsius.-1: NEGATIVE ONEThe additive inverse of one, and the value of eiπ.-1/10100: NEGATIVE GOOGOL-MINUTIAX-Minutia means 1/X.-1/1010^100: NEGATIVE GOOGOLMINEXThe second variation of the googolplex. These variations are pretty useless because they define small numbers instead of large ones.-1/FOOT10(10100): NEGATIVE BIG FOOT-MINUTIAOne of the largest negative numbers, although it is nearly indistinguishable from -1 on a googological scale.EPOCH 1: FROM ZERO TO ONE(0 to 1)0: ZEROFinally, we reach the midpoint of the number line. Zero is a crucial number in mathematics, being the additive identity. It is even a fundamental constant! However, it is not the midpoint of the list because that way it would be too short!1/FOOT10(10100): BIG FOOT-MINUTIAOne of the smallest positive numbers.1/Rayo(10100): RAYO’S NUMBER-MINUTIA1/{{L100,10}10,10&L,10}10,10: MEAMEAMEALOKKAPOOWA OOMPA-MINUTIA1/E100{#,#,1,2}100: BLASPHEMORGULUS-MINUTIAEven though the number is extremely small, we know that it has exactly one 1 incomprehensibly far away in its decimal expansion, and the rest of its digits are zeroes.1/E100#^^#100: TETHRATHOTH-MINUTIA1/{10,10(100)2}: GONGULUS-MINUTIA1/{10,10(1)2}: GOOBOL-MINUTIA1/G(64): GRAHAM’S NUMBER-MINUTIA1/{10,10,100}: BOOGOL-MINUTIA1/{10,100,2}: GIGGOL-MINUTIA1/ee^e^79: SKEWES‘ NUMBER-MINUTIAUnlike the much larger blasphemorgulus-minutia, we still don’t know its first digit. It is also irrational.1/1010^100: GOOGOLMINEX“Minex” is to “Plex” as “Minus” is to “Plus”, which is why the reciprocal of a googolplex is called this. The third variation of googolplex.1/10100: GOOGOL-MINUTIAThis number is also known as 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001.1/500000: EYELASH MITE-SPECKThe smallest non-minutia number by Sbiis Saibian.1/100: ONE PERCENTOne percent is not much, but it is definitely noticeable compared to zero. The SI prefix for this number is “centi-”.1/10: ONE TENTHOne tenth is a large fraction. Sbiis Saibian’s googolism suffix for 1/10 is “-chunk”. The SI prefix is “deci-”.1/4: ONE QUARTERA coin (worth 1/4 dollar of course) was named after this number.1/2: ONE HALFOne half often appears in daily life, and it is also the last “small number” on this list!EPOCH 2: CLASS 0(1 to 6)1: ONEReaching one feels similar to reaching zero, but remember we’ve only traveled a ridiculously small fraction of the distance from zero to sasquatch. One is the multiplicative identity (as well as the exponential one)In fact, it’s even one of the fundamental constants! One is also the boundary between small and large numbers, according to Sbiis Saibian. So now we’re officially in googology territory!1+1/10100: ONE PLUS A GOOGOL-MINUTIAThis number is also known as 1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001.1.414…: SQUARE ROOT OF TWOThe length of a diagonal of a square. This is an example of an irrational number arising in geometry.1.618…: PHI2: TWOOur second positive integer! But at this rate it will take 4*10100 entries to reach a googol! But putting that aside, two represents a pair, and it is the only even prime number.2.718…: EThe amount of money you get in a year with a continuously compounded 100% interest rate. E is one of the five fundamental constants.3: THREEThree is the first odd prime number. Fun fact: Pythagoras thought 3 was the most perfect digit.3.141…: PIThe ratio of a circle’s circumference and its diameter. This is why pi radians is equal to 180 degrees. Pi is the largest fundamental constant.4: FOURFour is 2+2, 2*2, 2^2, 2^^2, and so on. This is why BEAF outputs 4 when its inputs are 2.5: FIVE5 is the number of fingers on one hand, and half of 10, which is why it seems so round.EPOCH 3: LOWER-CLASS 1(6 to 100)6: SIXWe end this epoch with a perfect number (literally.) In fact, some people tried to explain why God took 6 days to create the world by the fact that 6 is perfect. 6 is also equal to 1+2+3 and 1*2*3. Sadly, 1^2^3 equals 1. 6 is the highest number of objects most of us can recognize instantly. Class 0 numbers can be recognized instantly, so this is the end of class 0!6.283…: TAUTau is equal to 2pi. It is the number of radians in a circle, and it has been proposed as a replacement for pi.HYPERLINK ""Awesome music named after tau (not a rickroll, I promise)7: SEVEN7 is the number of days in a week, and the last digit of Graham’s number. Some periodic tables are 7 periods high.8: EIGHTThe number of bits in a byte, because 8 is a power of 2. As a consequence of this, there are 256 = 2^8 possible bytes.9: NINENine is the highest digit in base. Higher digits (such as in hexadecimal) must be represented by letters.9.869…: GARPISurprisingly, this number is rare, but it appears in a few places, such as the volume of a torus.10: TENTen is an important number, mainly for it being the base of our number system. That is why it is a common number in googology. The periodic table is 10 periods high (including the lanthanides/actinides) The SI prefix for this number is “deka-”11: ELEVENEleven has many interesting properties, because it is one more than our base. One property is that it has an easy divisibility rule, “add and subtract the digits alternately.”12: TWELVE12 is often used to group things in, such as 12 months in a year, 12 eggs in a dozen, etc.13: THIRTEENThis number is often associated with bad luck, but it is a lucky number in mathematics. It is also called a baker’s dozen, and is equal to BB(4).14: FOURTEEN14 is the first even nontotient.15: FIFTEEN15 is the magic total of the smallest magic square.16: SIXTEENSixteen is a power of two, which means it is often used in computer science. It is also the stack size of some items in Minecraft.17: SEVENTEEN18: EIGHTEENThe periodic table is 18 groups wide.19: NINETEEN20: TWENTY20 is also called a score.21: ELEVENTEENThis number is strange: it is not its English name. This is because “twenty-one” is made of two parts, “twenty” and “one”, which is why it is not a googolism.22: TWELVETEEN22.459…: PI^EThis number is smaller than e^pi.23.140…: E^PIThis number is larger than pi^e.25: GARFIVEThis number is common in daily life because it is 1/4 of a hundred.27: FZTHREE30: THIRTY30 is a square pyramidal number.36: GARSIX40: FORTY42: ANSWER TO LIFE THE UNIVERSE AND EVERYTHING49: GARSEVEN50: FIFTYThe number of states in the USA.60: SIXTYA common number for grouping: There are sixty seconds in a minute, and sixty minutes in an hour.64: STACKThe stack size for most items in Minecraft. 64 is used in the definition in Graham’s number.70: SEVENTY80: EIGHTY81: GARNINE90: NINETYEPOCH 4: UPPER-CLASS 1(100 to 1000000)100: HUNDREDWe’ve reached 100, the square of 10 and the number of cents in a dollar. I consider this the boundary between small and large class 1 numbers. The SI prefix for this number is “hecto-”110: ELEVENTY111 is called eleventy-one in the Lord of the Rings.118: PERIODIC TABLE NUMBERThis number can be expressed as four sums with the same product. It’s the number of elements in the periodic table.120: TWELVETY120 is the fifth factorial. It’s also the number of cells in some periodic tables.121: GARELEVEN144: GROSSAlso known as gartwelve.169: BAKER’S GROSSA gross is 12 squared, and a baker’s dozen is 13, so this is what a baker’s gross would be.196: POULTER’S GROSS216: GOOGOIJIGoogo-x (x is in Roman numerals) is 2x^x.225: GARFIFTEEN256: HEIGHT LIMITThis number is expressible as 2^8, meaning it’s the number of representable values in a 8-bit integer. It is the height limit in Minecraft.360: CIRCLE NUMBERThe number of degrees in a circle.400: GREAT SCOREA score squared, analogous to the gross.404: NOT FOUNDNOT FOUND444: ILLUMINATI NUMBERILLUMINATI CONFIRMEDACTIVATE EMERGENCY PROTOCOL500: SEMITHOUSAND512: BINARY-BILLION666: BEASTThis has many interesting mathematical properties: It is equal to 1+2+…+35+36, and the sum of the squares of the first seven primes.777: LUCKY NUMBER999: SESQUIBEAST1000 minus 1.1000: THOUSANDThe zeroth “-illion”. For some scale, 1000 cookies would fill two backpacks if packed together, cover a bathroom if laid on the floor, and nearly stretch across a football field if laid end to end! The SI prefix for this number is “kilo-”.1337: LEETThis is an internet meme number because of leetspeak.1385.455…: PIPLEXThis irrational number is equal to 10^pi.1500: SESQUITHOUSAND1728: GREAT GROSSIf you add one to this number, you get the second taxicab number.2020: CURRENT YEAR2500: GARFIFTY3125: FZFIVE4096: BLOCKThe volume of a Minecraft block in pixels. Equal to 2^12, 4^6, 8^4, 16^3, and 64^2, the first number expressible as a perfect power in 5 different ways.4098: BB(5)Actually a lower bound, but this is most likely the correct value.4444: ILLUMINATI RETURNSILLUMINATI IS RAIDINGSHELTER IN BUNKERS5000: SEMIMYRIAD7777: LUCKY RETURNS9001: OVER NINE THOUSAND!!!!!!Another internet meme number.10000: MYRIADThe base of the Ancient Greek and Chinese numbering systems, and also that of the “-yllion” system.19683: FUGATHREEFuga-X is equal to X^(X^(X-1)).20000: EYELASH MITEThe first Saibianism! Sbiis Saibian names googolisms after small things because the numbers are small in the world of googology.32767: 16-BIT LIMITThis is the highest possible 16-bit integer. 16-bit integers have largely been replaced by 32-bit integers.46656: FZSIX50000: DUST MITEAnother Saibianism. This one is 2.5 times larger than an eyelash mite.65536: GOOGOLPLEIJAccording to Cookiefonster, googolple-x is equal to x^x^x^2.80000: CHEESE MITE86400: SECONDS PER DAYThe number of seconds in a day. This is a large difference between two humanly comprehensible units. Also, this number is just above a cheese mite.100000: LAKHThis number is only called lakh in the Indian numbering system. In other countries it is called one hundred thousand.200000: CLOVER MITE346275.521…: COOKIEFONSTER’S NUMBERCookiefonster’s Wikipedia signature used to be “CegaLEGOlog99!”. This number is equal to log(99!).823543: FZSEVENEPOCH 5: LOWER-CLASS 2(1000000 to 10^100)1.0000e6: MILLIONThe first “-illion”. For some scale, 1 million cookies would fill a room if packed together, cover an acre if laid on the floor, and stretch across Manhattan 4 times if laid end to end! The SI prefix for this number is “mega-”.1.0486e6: GUPPYBITA googolism that is equal to 10x with -bit attached is equal to 2x.2.9860e6: GOOGOVI1.0000e7: CROREThis number is only called crore in the Indian numbering system. In other countries it is called ten million.1.6777e7: FZEIGHT3.1536e7: SECONDS PER YEARNon-leap year.3.3554e7: MINNOWBIT1.0000e8: MYLLIONThe -yllion system works as follows:-10000 is a myriad.-A myriad squared is a myllion.-A myllion squared is a byllion.-etc.3.8742e8: FZNINE1.0000e9: BILLIONThe second “-illion”. For some scale, 1 billion cookies would fill 4 times the White House if packed together, cover Central Park if laid on the floor, and stretch around the earth twice if laid end to end! The SI prefix for this number is “giga-”.2.1475e9: 32-BIT LIMIT1.000e10: DIALOGUEx-logue is equal to 10^^x.3.436e10: GOBYBIT5.000e10: LITTLE SQUEAKER1.000e12: TRILLIONThe third “-illion”. For some scale, 1 trillion cookies would fill 3.5 of the world’s largest buildings if packed together, cover Delaware if laid on the floor, and stretch from the Sun to Mars and back if laid end to end! The SI prefix for this number is “tera-”.7.626e12: MEGAFUGATHREEThis number often appears when evaluating googolisms involving 3, because this is equal to 3^^3.3.000e13: SPONGEBOB’S NUMBERThis number is exactly 29,998,559,671,349. It originated in a SpongeBob episode where there is a challenge to hit a ball this many times. This number is prime, a 1 in 30 chance in such a large number.1.000e15: QUADRILLIONThe fourth “-illion”. For some scale, 1 quadrillion cookies would be the size of Mount Everest if packed together, cover India if laid on the floor, and stretch to Sedna on average if laid end to end! The SI prefix for this number is “peta-”.1.126e15: GOGOLBIT1.000e16: BYLLION1.000e18: QUINTILLIONThe fifth “-illion”. For some scale, 1 quintillion cookies would be the size of a large asteroid if packed together, cover an entire Minecraft world is laid on the floor, and stretch to Sirius if laid end to end! The SI prefix for this number is “exa-”.1.000e20: GUPPYOne of Sbiis Saibian’s smallest googolisms, it can be seen as a smaller version (actually the 5th root) of the googol.1.000e21: SEXTILLIONThe sixth “-illion”. This many cookies packed together would be the size of Pallas (one of the largest asteroids)! The SI prefix is “zetta-”.6.022e23: AVOGADRO’S NUMBERThe ratio of grams to atomic mass units. This is the number of atoms in a mole.1.000e24: SEPTILLIONThe seventh “-illion”. This many cookies packed together would be the size of the Moon! The SI prefix is “yotta-”. This is the last SI prefix.1.209e24: OGOLBIT1.000e25: MINNOW1.000e27: OCTILLIONThe eighth “-illion”. This many cookies packed together would be the size of Neptune!1.000e30: NONILLIONThe ninth “-illion”. This many cookies packed together would be the size of a red dwarf!1.268e30: LITTLE GOOGOLThe 100th power of 2. It can be seen as a smaller version of the googol.1.000e32: TRYLLION1.000e33: DECILLIONThe tenth “-illion”. This many cookies packed together would be the size of Sirius! This is possibly the largest number used in poetry.1.000e35: GOBY1.000e36: UNDECILLIONThe eleventh “-illion”. This many cookies packed together would be the size of Polaris, a larger star! This is my smallest possible definition of a gazillion.1.000e39: DUODECILLIONThe twelveth “-illion”. This many cookies packed together would be the size of Deneb, an even larger star!1.000e42: TREDECILLIONThe thirteenth “-illion”. This many cookies packed together would be the size of the largest star! Can you believe it took 12 orders of magnitude to leave the stellar range?1.000e45: QUATTUORDECILLION1.000e48: QUINDECILLION1.000e50: GOGOLOne of Sbiis Saibian’s smallest googolisms, it can be seen as a smaller version (actually the square root) of the googol.1.000e51: SEXDECILLION1.000e54: SEPTENDECILLIONThis number is notable for being the highest requirement for an achievement in Cookie Clicker.1.000e57: OCTODECILLION1.000e60: NOVEMDECILLION1.000e63: VIGINTILLIONThe last “-illion” officially in the English language.1.000e64: QUADRYLLION1.000e65: JUMBO SHRIMP1.000e66: UNVIGINTILLIONThis is the first of the extrapolated “-illions”, with the Latin root for 21.7.889e69: LITTLE BIGGER LITTLE GOOGOLThe 100th power of 5.1.000e74: LESSER GAZILLIONAccording to Calvin and Hobbes, 300 billion gazillion is equal to 3e85, so a gazillion is equal to 3e85/3e11=1e74.1.000e75: LIGHTWEIGHT1.000e80: OGOLThis is equal to the 4th power of a guppy. It’s about the number of atoms in the universe. 5 times this is about the volume of the universe in cubic meters, giving a density of 1 atom per 5 cubic meters!3.000e85: CALVIN AND HOBBES NUMBER1.000e90: GOOGOLSPECK-speck means /1010.1.000e93: TRIGINTILLIONThe 30th “-illion”.1.000e95: GOOGOLCRUMB-crumb means /105.1.000e99: GOOGOLCHUNK-chunk means /10. ................
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