An octillion is equal to 1027 in America, or 1048 in France and Germany.[1]
Squares of 1 septillion, one hundred septillion, and one octillion square centimeters compared to the orbital distances of the inner planets.
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.
The number (in short scale) is also called tre-bitillion by SuperJedi224.[4]
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.[5]
- An octillion dollars in 100 dollar bills would cover the US with a layer of 1000 km (625 miles) thick.
- One octillion square centimeters would just barely fit inside the orbit of Mars.
- 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.[6]
- The total volume of the sun is 1.4 octillion cubic meters.[7]
- The Hungarian pengő had the highest rate of hyperinflation recorded, reaching 400 octilion pengős.
- interestingly an octillion had nothing to do with the number 8.
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
- ↑ 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.
- ↑ http://www.space.com/17001-how-big-is-the-sun-size-of-the-sun.html
See also
- octyllion
- Prefix 10^27
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: 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
1,000–1024: 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