An octovigintillion is equal to \(10^{87}\) in the short scale, or \(10^{168}\) in the long scale by Conway and Guy's naming system[1][2][3] or by Rowlett's naming system.[4]
In the long scale, \(10^{87}\) is called quattuordecilliard, which is commonly used in France and Germany.
Sbiis Saibian gave the name viginti-octillion referring to the value of this number.[5]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{87}\) | |
| Arrow notation | \(10\uparrow87\) | |
| Steinhaus-Moser Notation | 50[3] | 51[3] |
| Copy notation | 9[87] | 10[44] |
| Taro's multivariable Ackermann function | A(3,286) | A(3,287) |
| Pound-Star Notation | #*(6,9,2,2,4,0,6)*7 | #*(1,6,5,0,7,0,1)*8 |
| BEAF | {10,87} | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[523] | (0)(0)(0)(0)(0)[524] |
| Hyperfactorial array notation | 62! | 63! |
| Fast-growing hierarchy | \(f_2(280)\) | \(f_2(281)\) |
| Hardy hierarchy | \(H_{\omega^2}(280)\) | \(H_{\omega^2}(281)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega8+7}}(10)\) | |
List of prefixed numbers derived from vigintillion[]
| Name | Short scale | Long scale |
|---|---|---|
| unvigintillion | 1066 | 10126 |
| duovigintillion | 1069 | 10132 |
| tresvigintillion | 1072 | 10138 |
| quattuorvigintillion | 1075 | 10144 |
| quinvigintillion | 1078 | 10150 |
| sesvigintillion | 1081 | 10156 |
| septemvigintillion | 1084 | 10162 |
| octovigintillion | 1087 | 10168 |
| novemvigintillion | 1090 | 10174 |
Sources[]
- ↑ Extensions to the -illions I: Henkle, Conway, and Rowlett
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ The Conway-Wechsler System
- ↑ Names for Large Numbers (Internet archive, archived at 6 June, 2002)
- ↑ Sbiis Saibian's Ultimate Large Number List - Part I
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 · 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