- Not to be confused with yoctillion.
An octillion is equal to 1027 in America, or 1048 in France and Germany.[1]
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[2] and Aarex Tiaokhiao's googology site[3] give the name ennillion for this number.
Wikia user NumLynx gave the name nonasand for this number's short scale value.[4]
The number (in short scale) is also called tre-bitillion by SuperJedi224.[5]
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 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.[6]
- 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.[7]
- The Hungarian pengő had the highest rate of hyperinflation recorded, reaching 400 octilion pengős.
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
- ↑ Octillion at Wolfram MathWorld
- ↑ Names for Large Numbers
- ↑ Aarex Tiaokhiao's illion numbers
- ↑ NumLynx's Large Numbers
- ↑ https://sites.google.com/site/sjpgoogol/illions
- ↑ Saibian, Sbiis. Even Larger Numbers In Science and Astronomy. Retrieved 2015-01-24.
- ↑ iFunny.com 169 octillion ways in ten moves in Chess.
See also
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · unviginticent · unsexagintacent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: 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
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
