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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[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-10.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-10.
  4. 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 · non
10–19: 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
1,000–1024: 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
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