A septemoctogintillion is equal to \(10^{264}\) in the short scale and \(10^{522}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 87th -illion number. It may also be called as septenoctogintillion in the modified Conway's system.[4]
In the long scale, \(10^{264}\) is called quattuorquadragintillion. .
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{264}\) | |
| Arrow notation | \(10\uparrow264\) | |
| Steinhaus-Moser Notation | 125[3] | 126[3] |
| Copy notation | 9[264] | 1[265] |
| Taro's multivariable Ackermann function | A(3,873) | A(3,874) |
| Pound-Star Notation | #*((3432))*10 | #*((3433))*10 |
| BEAF | {10,264} | |
| Hyper-E notation | E264 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[13335] | (0)(0)(0)(0)(0)(0)[13336] |
| Hyperfactorial array notation | 150! | 151! |
| Fast-growing hierarchy | \(f_2(867)\) | \(f_2(868)\) |
| Hardy hierarchy | \(H_{\omega^2}(867)\) | \(H_{\omega^2}(868)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega6+4}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{522}\) | |
| Arrow notation | \(10\uparrow522\) | |
| Steinhaus-Moser Notation | 222[3] | 223[3] |
| Copy notation | 9[522] | 1[523] |
| Taro's multivariable Ackermann function | A(3,1731) | A(3,1732) |
| Pound-Star Notation | #*((273))*14 | #*((274))*14 |
| BEAF | {10,522} | |
| Hyper-E notation | E522 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[11970] | (0)(0)(0)(0)(0)(0)(0)[11971] |
| Hyperfactorial array notation | 262! | 263! |
| Fast-growing hierarchy | \(f_2(1723)\) | \(f_2(1724)\) |
| Hardy hierarchy | \(H_{\omega^2}(1723)\) | \(H_{\omega^2}(1724)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^25+\omega2+2}}(10)\) | |
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 2023-02-10.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-10.
- ↑ 4.0 4.1 Fish. Conway's zillion numbers. Retrieved 2023-02-10.
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