- 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.
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 · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct
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