A septenquinquagintillion is equal to 10174 in the short scale, or 10342 in the long scale by Conway-Wechsler system.[1][2][3][4][5]
In the long scale which is commonly used in France and Germany, 10174 is called novemvigintillion.
Decimal expansion[]
In short scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
In long scale:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations[]
For the short scale value (10174):
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{174}\) | |
| Arrow notation | \(10\uparrow174\) | |
| Steinhaus-Moser Notation | 89[3] | 90[3] |
| Copy notation | 9[174] | 1[175] |
| Taro's multivariable Ackermann function | A(3,575) | A(3,576) |
| Pound-Star Notation | #*((24))*9 | #*((25))*9 |
| BEAF | {10,174} | |
| Hyper-E notation | E174 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[523] | (0)(0)(0)(0)(0)(0)[524] |
| Hyperfactorial array notation | 107! | 108! |
| Fast-growing hierarchy | \(f_2(568)\) | \(f_2(569)\) |
| Hardy hierarchy | \(H_{\omega^2}(568)\) | \(H_{\omega^2}(569)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega7+4}}(10)\) | |
For the long scale value (10342):
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{342}\) | |
| Arrow notation | \(10\uparrow342\) | |
| Steinhaus-Moser Notation | 155[3] | 156[3] |
| Copy notation | 9[342] | 1[343] |
| Taro's multivariable Ackermann function | A(3,1133) | A(3,1134) |
| Pound-Star Notation | #*((21))*12 | #*((22))*12 |
| BEAF | {10,342} | |
| Hyper-E notation | E342 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[469] | (0)(0)(0)(0)(0)(0)(0)[470] |
| Hyperfactorial array notation | 185! | 186! |
| Fast-growing hierarchy | \(f_2(1\,125)\) | \(f_2(1\,126)\) |
| Hardy hierarchy | \(H_{\omega^2}(1\,125)\) | \(H_{\omega^2}(1\,126)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^23+\omega4+2}}(10)\) | |
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
- ↑ Steve Olsen, Big-Ass Numbers
- ↑ The Conway-Wechsler System
- ↑ Extensions to the -illions I: Henkle, Conway, and Rowlett
- ↑ Fish. Conway's zillion numbers, July 25, 2021
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