Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

A quattuoroctogintillion is equal to 10255 in America, or 10504 in the long scale by Conway and Guy's naming system.[1][2][3][4] It is the smallest positive integer, whose full decimal expansion cannot be used at all as a page title in MediaWiki projects.

In the long scale which is commonly used in France and Germany, 10255 is called duoquadragintilliard.

Approximations[]

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{255}\)
Arrow notation \(10\uparrow255\)
Steinhaus-Moser Notation 122[3] 123[3]
Copy notation 9[255] 10[128]
Taro's multivariable Ackermann function A(3,844) A(3,845)
Pound-Star Notation #*((1153))*10 #*((1154))*10
BEAF {10,255}
Hyper-E notation E255
Bashicu matrix system (0)(0)(0)(0)(0)(0)[9646] (0)(0)(0)(0)(0)(0)[9647]
Hyperfactorial array notation 146! 147!
Fast-growing hierarchy \(f_2(837)\) \(f_2(838)\)
Hardy hierarchy \(H_{\omega^2}(837)\) \(H_{\omega^2}(838)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega5+5}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{504}\)
Arrow notation \(10\uparrow504\)
Steinhaus-Moser Notation 215[3] 216[3]
Copy notation 9[504] 1[505]
Taro's multivariable Ackermann function A(3,1671) A(3,1672)
Pound-Star Notation #*((58))*14 #*((59))*14
BEAF {10,504}
Hyper-E notation E504
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[8659] (0)(0)(0)(0)(0)(0)(0)[8660]
Hyperfactorial array notation 254! 255!
Fast-growing hierarchy \(f_2(1\,663)\) \(f_2(1\,664)\)
Hardy hierarchy \(H_{\omega^2}(1\,663)\) \(H_{\omega^2}(1\,664)\)
Slow-growing hierarchy \(g_{\omega^{\omega^25+4}}(10)\)

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 2023-02-05.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-05.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-05.

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
Advertisement