- 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.
The number (in short scale) is also called tre-bitillion by SuperJedi224.[4]
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.[5]
- 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.[6]
- 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
- ↑ 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
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 · 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 · trimill · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct
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