- Not to be confused with yoctillion.
An octillion is equal to 1027 in America, or 1048 in France and Germany.[1][2][3]
A square of 1027 square centimeters in area compared to the average orbital distances of the inner planets. The sun is drawn at a scale about 50x larger and the planets at a scale about 500x larger than the remainder of the diagram.
A radius of 1027 meters, compared to the observable universe
In the long scale, 1027 is called quadrilliard, which is commonly used in France and Germany.
Both Russ Rowlett's Greek-based naming system[4] and Aarex Tiaokhiao's googology site[5] give the name ennillion for this number.
Wikia user NumLynx gave the name nonasand for this number's short scale value.[6]
The number (in short scale) is also called tre-bitillion by SuperJedi224.[7]
DeepLineMadom calls the number troo-zeicol, and is equal to 10[3]27 in DeepLineMadom's Array Notation.[8]
It is 28 digits long in short scale, and 49 digits long in long scale.
Decimal[]
- 1,000,000,000,000,000,000,000,000,000 - short scale
- 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale
Examples[]
- The new SI prefix ronna- multiplies by one octillion.
- The earth has a mass of about 5.98 octillion grams.
- The mass of the sun is about 1.989 octillion metric tons.
- The volume of the sun is about 1.412 octillion cubic meters.[9]
- An octillion dollars in 100 dollar bills would cover the US with a layer of 1000 km (625 miles) thick.
- A square of one octillion square centimeters in area would fit entirely inside the orbit of Mars (the diagonal of such a square would be about 2% smaller than the minor axis of its orbit).
- There are over 7 octillion atoms in the human body.
- There is over 169.5 octillion ways to play the first ten moves in chess.[10]
- The Hungarian pengő had the highest rate of hyperinflation recorded, reaching 400 octilion pengős.
- A proton and a neutron are both 1 octillion times bigger than a neutrino.
- The mass of the Earth is about 6 octillion grams.
- Following the hyperinflation in Hungary, the currency was changed from the pengö to the forint on August 1, 1946. The exchange rate was set at one forint for 400 octillion pengö (\(4 \times 10^{29}\) pengö).[11] See also Currency-related numbers.
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{27}\) | |
| Arrow notation | \(10\uparrow27\) | |
| Steinhaus-Moser Notation | 20[3] | 21[3] |
| Copy notation | 9[27] | 10[14] |
| Taro's multivariable Ackermann function | A(3,86) | A(3,87) |
| Pound-Star Notation | #*(2,8)*12 | #*(0,0,2,2)*6 |
| BEAF | {10,27} | |
| Hyper-E notation | E27 | |
| Bashicu matrix system | (0)(0)(0)[2371] | (0)(0)(0)[2372] |
| Hyperfactorial array notation | 26! | 27! |
| Fast-growing hierarchy | \(f_2(83)\) | \(f_2(84)\) |
| Hardy hierarchy | \(H_{\omega^2}(83)\) | \(H_{\omega^2}(84)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega2+7}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{48}\) | |
| Arrow notation | \(10\uparrow48\) | |
| Steinhaus-Moser Notation | 31[3] | 32[3] |
| Copy notation | 9[48] | 1[49] |
| Taro's multivariable Ackermann function | A(3,156) | A(3,157) |
| Pound-Star Notation | #*(6,3,6,4,3)*7 | #*(7,3,6,4,3)*7 |
| BEAF | {10,48} | |
| Hyper-E notation | E48 | |
| Bashicu matrix system | (0)(0)(0)(0)[1000] | |
| Hyperfactorial array notation | 40! | 41! |
| Fast-growing hierarchy | \(f_2(152)\) | \(f_2(153)\) |
| Hardy hierarchy | \(H_{\omega^2}(152)\) | \(H_{\omega^2}(153)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega4+8}}(10)\) | |
Sources[]
- ↑ Merriam-Webster Dictionary Octillion
- ↑ Conway and Guy. The Book of Numbers. Copernicus. 1995. ISBN 978-0387979939 p.14
- ↑ Octillion at Wolfram MathWorld
- ↑ Russ Rowlett Names for Large Numbers Archived 2006-01-10.
- ↑ Aarex Tiaokhiao's illion numbers
- ↑ -sand numbers. Retrieved 2021-10-29.
- ↑ https://sites.google.com/site/sjpgoogol/illions
- ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
- ↑ Saibian, Sbiis. Even Larger Numbers In Science and Astronomy. Retrieved 2015-01-24.
- ↑ iFunny.com 169 octillion ways in ten moves in Chess.
- ↑ Guiness World Record. https://www.guinnessworldrecords.com/world-records/highest-denomination-banknote Retrieved 2024-09-18.
See also[]
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1030: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct · ront · quect
Fibonacci Numbers
Level Two
#*
Astragol · Astrigol · Astergol · Astrapengol · Astrexigol · Bi-astragol · Tri-astragol · Ter-astragol · Pen-astragol
#**
H#*
Astragold · Astrangold · Astreagold · Astrabigold · Astratrigold · Astratergold · Astrantergold · Astreatergold · Astreantergold · Astrex · Astrantrex · Astreatrex · Goltrex · Goltrantrex · Goltreatrex · Goltreantrex · Astruex · Astriex · Asterex · Duastrex · Duastruex · Treastrex · Terastrex · Bi-astragold · Tri-astragold · Ter-astragold
#*{}
Astuul · Grantuul · Greatuul · Greantuul · Goltuul · Golgrantuul · Golgreatuul · Astbiuul · Astriuul · Astertuul · Astrapentuul · Rexuul · Rexantuul · Rexeatuul · Rexeantuul · Golrexuul · Astuulgold · Grantuulgold · Greatuulgold · Goltuulgold · Astbiuulgold · Astriuulgold · Astuulgoltrex · Bi-astuul · Tri-astuul · Ter-astuul · Galaxiol · Bi-galaxiol · Tri-galaxiol · Cosmol · Cosmo-galaxiol · Cosmo-bi-galaxiol · Bi-cosmol · Hyperiol · Hyper-galaxiol · Hyper-cosmol · Hyper-cosmo-galaxiol · Ultrol · Ultra-galaxiol · Ultra-cosmol · Ultra-hyperiol · Bi-ultrol · Ultra-hyper-cosmo-galaxi-cosmo-hyper-ultrol · Tri-ultrol · Exitrol · Epitrol · Octrol
H#*{}
Titanicol · Grantitanicol · Greatitanicol · Goltitanicol · Titanicoltrex · Titanicolgoltrex · Titanic Astuul · Titanic Galaxiol · Titanic Cosmol · Titanic Hyperiol · Titanic Ultrol · Titaniprimol · Titaniduol · Titanitrol · Titaniterol · Titanipetol · Behemicol · Leviathol · Empiriol · Grantiriol · Greatiriol · Empirioltrex · Empiriolgold · Empiri-titanicol · Empiri-titaniprimol · Empiri-titaniduol · Empiri-titanitrol · Empiri-behemicol · Empiri-leviathol · Teratol · Petatol · Exatol · Zettatol · Yottatol · Yotta-zetta-exa-peta-tera-empiri-titaniprimol · Novettol
xH#*{}
Cthonicol · Cthonigog · Astracthonicol · Astrancthonicol · Astreacthonicol · Golcthonicol · Cthonirex · Cthonigold · Cthonigoltrex · Cthonic Ultrol · Cthonic Titanicol · Cthonic Behemicol · Cthonic Leviathol · Cthonic Empiriol · Cthonic Empiri-titaniprimol · Bi-cthonicol · Bi-cthonigog · Tri-cthonicol
#*<<>>
Cthonoliath · Cthonolligog · Astracthonoliath · Astrancthonoliath · Golcthonoliath · Rexoliath · Gaxoliath · Cosmoliath · Hypoliath · Ultroliath · Titanoliath · Behemoliath · Leviatholiath · Empiroliath · Teroliath · Petoliath · Exoliath · Zettoliath · Yottoliath · Novoliath · Cthaeliath · Cthaelligog · Cthaelidor · Cthaelitror · Cthaeliteror · Bi-cthonoliath · Tri-cthonoliath · Cthonulor · Cthonulortrius · Cthonulorterterus · Cthaeliterator · Legioliath · Legiolirexus · Legiolaureus · Legiulor · Legiodeuteror · Legiulortrius · Legiulorterterus · Deuteroliath · Tritoliath · Tertoliath
H#*<<>>
Based on the Faxul
Other factorials
Googovipleccix family
Graham Sequence Numbers
-Illion numbers
Level One
Sesquillion · Tre-bitillion · Ter-bitillion · Tre-tritillion · Pen-bitillion · Ex-bitillion · Ter-tritillion · Epi-bitillion · Bi-exitillion · En-bitillion · Ex-tritillion · Dek-bitillion · Epi-tritillion · Tre-exitillion · Oct-tritillion · En-tritillion · Ter-exitillion · Pen-exitillion
Level Two
Hyper-exitillion · Hyper-icositillion · Milli-yoctillion · Micro-yoctillion · Nano-yoctillion · Pico-yoctillion · Femto-yoctillion · Atto-yoctillion · Zepto-yoctillion · Deutero-yoctillion · Trito-yoctillion · Tetero-yoctillion · Pepto-yoctillion · Hyper-bi-exitillion · Hyper-tre-exitillion · Hyper-ter-exitillion · Hyper-pen-exitillion · Hyper-pen-icositillion · Hyper-ex-exitillion · Hyper-epi-exitillion · Hyper-oct-exitillion · Hyper-en-exitillion · Hyper-dek-exitillion
Level Three
Level Four
Level Five
Level Six
X-Sequence Hyper-Exponential Notation
Hyperon · Tris-hyperon · Ter-hyperon · Pen-hyperon · Ex-hyperon · Epi-hyperon · Expandor · Expandohyperon · Tris-expandor · Multi-expandor · Grid-hyperon · Cube-hyperon · Tessa-hyperon · Peta-hyperon · Hyper-hyperon · Hyper-grid-hyperon · Hyper-cube-hyperon · Hyper-tessa-hyperon · Double-hyper-hyperon · Hyperathoth · Hyperathothi-Hyperon · Hyperathothi-tris-Hyperon · Hyperathothi-ter-Hyperon · Hyperathothi-pen-Hyperon · Hyperathothi-Expandor · Hyperathothi-Expandohyperon · Tris-hyperathoth · Teragygas · Teragridgor · Teracubor · Teratesseron · Teratope · Mega Teragygas · Mega Teragridgor · Mega Teracubor · Mega Teratesseron · Mega Teratope · Hyperaduthoth · Hyperatrithoth · Hyperaterthoth · Hyperathoth Terribulon · Hyperathoth Tris-terribulon · Hyperathoth Super-terribulon · Hyperathoth Double-super-terribulon · Hyperathoth Terribugrid · Hyperathoth Terribucube · Hyperathoth Terributeron · Hyperathoth Terributope · Hyperathoth Terributhoth · Hyperathoth Terribudeus · Hyperathoth Terributruce · Hyperathoth Terribuquad · Hyperathoth Terribuquid · Hyperatrix · Hyperatrixatope · Hyperatetrix · Hyperatetrixatope · Hyperapetaxis · Hyperadekaxis · Hyperazetathoth · Hyperazetathoth Terribulon
Level One
Sesquillion · Tre-bitillion · Ter-bitillion · Tre-tritillion · Pen-bitillion · Ex-bitillion · Ter-tritillion · Epi-bitillion · Bi-exitillion · En-bitillion · Ex-tritillion · Dek-bitillion · Epi-tritillion · Tre-exitillion · Oct-tritillion · En-tritillion · Ter-exitillion · Pen-exitillion
Level Two
Hyper-exitillion · Hyper-icositillion · Milli-yoctillion · Micro-yoctillion · Nano-yoctillion · Pico-yoctillion · Femto-yoctillion · Atto-yoctillion · Zepto-yoctillion · Deutero-yoctillion · Trito-yoctillion · Tetero-yoctillion · Pepto-yoctillion · Hyper-bi-exitillion · Hyper-tre-exitillion · Hyper-ter-exitillion · Hyper-pen-exitillion · Hyper-pen-icositillion · Hyper-ex-exitillion · Hyper-epi-exitillion · Hyper-oct-exitillion · Hyper-en-exitillion · Hyper-dek-exitillion
Level Three
Level Four
Level Five
Level Six
Level Seven