A quinoctogintillion is equal to 10258 in the short scale, or 10510 in the long scale by Conway and Guy's naming system.[1][2][3][4]
In the long scale which is commonly used in France and Germany, 10258 is called tresquadragintillion.
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{258}\) | |
| Arrow notation | \(10\uparrow258\) | |
| Steinhaus-Moser Notation | 123[3] | 124[3] |
| Copy notation | 9[258] | 1[259] |
| Taro's multivariable Ackermann function | A(3,854) | A(3,855) |
| Pound-Star Notation | #*((1658))*10 | #*((1659))*10 |
| BEAF | {10,258} | |
| Hyper-E notation | E258 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[10746] | (0)(0)(0)(0)(0)(0)[10747] |
| Hyperfactorial array notation | 147! | 148! |
| Fast-growing hierarchy | \(f_2(847)\) | \(f_2(848)\) |
| Hardy hierarchy | \(H_{\omega^2}(847)\) | \(H_{\omega^2}(848)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega5+8}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{510}\) | |
| Arrow notation | \(10\uparrow510\) | |
| Steinhaus-Moser Notation | 218[3] | 219[3] |
| Copy notation | 9[510] | 1[511] |
| Chained arrow notation | \(10→510\) | |
| Taro's multivariable Ackermann function | A(3,1691) | A(3,1692) |
| Pound-Star Notation | #*((98))*14 | #*((99))*14 |
| BEAF | {10,510} | |
| Hyper-E notation | E510 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[9646] | (0)(0)(0)(0)(0)(0)(0)[9647] |
| Bird's array notation | {10,510} | |
| Hyperfactorial array notation | 257! | 258! |
| Fast-growing hierarchy | \(f_2(1\,683)\) | \(f_2(1\,684)\) |
| Hardy hierarchy | \(H_{\omega^2}(1\,683)\) | \(H_{\omega^2}(1\,684)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{2}5+\omega}}(10)\) | |
List of prefixed numbers derived from octogintillion[]
| Name | Short scale | Long scale |
|---|---|---|
| unoctogintillion | 10246 | 10486 |
| duooctogintillion | 10249 | 10492 |
| tresoctogintillion | 10252 | 10498 |
| quattuoroctogintillion | 10255 | 10504 |
| quinoctogintillion | 10258 | 10510 |
| sexoctogintillion | 10261 | 10516 |
| septemoctogintillion | 10264 | 10522 |
| octooctogintillion | 10267 | 10528 |
| novemoctogintillion | 10270 | 10534 |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-05.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-05.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-02-05.
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