An unquinquagintillion is equal to 10156 in America, or 10306 in France and Germany by Conway-Wechsler system.[1][2][3][4]
Sbiis Saibian says that Jonathan Bowers coined unquinquagintillion for this number.[5]
In the long scale which is commonly used in France and Germany, 10156 is called sesvigintillion.
Decimal expansion[]
In short scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
In long scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{156}\) | |
| Arrow notation | \(10\uparrow156\) | |
| Steinhaus-Moser Notation | 81[3] | 82[3] |
| Copy notation | 9[156] | 1[157] |
| Chained arrow notation | \(10→156\) | |
| Taro's multivariable Ackermann function | A(3,515) | A(3,516) |
| Pound-Star Notation | #*((1063))*8 | #*((1064))*8 |
| BEAF | {10,156} | |
| Hyper-E notation | E156 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[74989] | (0)(0)(0)(0)(0)[74990] |
| Bird's array notation | {10,156} | |
| Hyperfactorial array notation | 99! | 100! |
| Strong array notation | s(10,156) | |
| Fast-growing hierarchy | \(f_2(509)\) | \(f_2(510)\) |
| Hardy hierarchy | \(H_{\omega^2}(509)\) | \(H_{\omega^2}(510)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega5+6}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{306}\) | |
| Arrow notation | \(10\uparrow306\) | |
| Steinhaus-Moser Notation | 142[3] | 143[3] |
| Copy notation | 9[306] | 1[307] |
| Taro's multivariable Ackermann function | A(3,1013) | A(3,1014) |
| Pound-Star Notation | #*((437))*11 | #*((438))*11 |
| BEAF | {10,306} | |
| Hyper-E notation | E306 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[60429] | (0)(0)(0)(0)(0)(0)[60430] |
| Hyperfactorial array notation | 169! | 170! |
| Fast-growing hierarchy | \(f_2(1\,006)\) | \(f_2(1\,007)\) |
| Hardy hierarchy | \(H_{\omega^2}(1\,006)\) | \(H_{\omega^2}(1\,007)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^23+6}}(10)\) | |
List of prefixed numbers derived from quinquagintillion[]
| Name | Short scale | Long scale |
|---|---|---|
| unquinquagintillion | 10156 | 10306 |
| duoquinquagintillion | 10159 | 10312 |
| tresquinquagintillion | 10162 | 10318 |
| quattuorquinquagintillion | 10165 | 10324 |
| quinquinquagintillion | 10168 | 10330 |
| sesquinquagintillion | 10171 | 10336 |
| septenquinquagintillion | 10174 | 10342 |
| octoquinquagintillion | 10177 | 10348 |
| novenquinquagintillion | 10180 | 10354 |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ The Conway-Wechsler System
- ↑ Extensions to the -illions I: Henkle, Conway, and Rowlett
- ↑ Fish. Conway's zillion numbers, July 25, 2021
- ↑ Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-08-01.
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