Googology Wiki
Advertisement
Googology Wiki

View full site to see MathJax equation

"Xenillion" redirects here. It is not to be confused with xennillion.

novenonagintaoctingentillion is equal to \(10^{2700}\) in the short scale and \(10^{5394}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] as it is the 899th -illion number.

In the long scale, \(10^{2700}\) is called quinquagintaquadringentillion.[6]

NumLynx named short-scale value of this number as nongentisand, which is equal 1000900 = 102700. [7]

RedBandServerYT calls this number xonesimal-googol.[8]

BlankEntity calls this number Xenillion.[9]

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{2700}\) (exact)
Arrow notation \(10\uparrow 2700\) (exact)
Steinhaus-Moser Notation 912[3] 913[3]
Chained arrow notation \(10\rightarrow 2700\) (exact)
Taro's multivariable Ackermann function A(3,8966) A(3,8967)
BEAF & Bird's array notation {10,2700} (exact)
Hyper-E notation E2700 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(9)\) \(s(1)^3(\lambda x.x+1)(10)\)
m(n) map m(1)(912) m(1)(913)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Fast-growing hierarchy \(f_2(8956)\) \(f_2(8957)\)
Hardy hierarchy \(H_{\omega^2}(8956)\) \(H_{\omega^2}(8957)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3 2+\omega^2 7}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{5394}\) (exact)
Arrow notation \(10\uparrow 5394\) (exact)
Steinhaus-Moser Notation 1673[3] 1674[3]
Chained arrow notation \(10\rightarrow 5394\) (exact)
Taro's multivariable Ackermann function A(3,17915) A(3,17916)
BEAF & Bird's array notation {10,5394} (exact)
Hyper-E notation E5394 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(10)\) \(s(1)^3(\lambda x.x+1)(11)\)
m(n) map m(1)(1673) m(1)(1674)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Fast-growing hierarchy \(f_2(17904)\) \(f_2(17905)\)
Hardy hierarchy \(H_{\omega^2}(17904)\) \(H_{\omega^2}(17905)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3 5+\omega^2 3+\omega 9+4}}(10)\) (exact)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-06-22.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-06-22.
  4. Fish. Conway's zillion numbers. Retrieved 2023-06-22.
  5. Fish. Conway's illion converter - 10^2700. Retrieved 2023-06-22.
  6. Fish. Conway's illion converter - 10^2700 (long scale). Retrieved 2023-06-22.
  7. NumLynx's Large Numbers
  8. RedBandServerYTn-ary numbers. Retrieved 26 November 2021.
  9. BlankEntity. BlankEntity's Googology - Class 1 and 2. Retrieved 2022-06-10.

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
1,000–1030: 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
Main article: -illion
800–809: octingentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
810–819: decioctingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
820–829: vigintioctingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
830–839: trigintaoctingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
840–849: quadragintaoctingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
850–859: quinquagintaoctingentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
860–869: sexagintaoctingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
870–879: septuagintaoctingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
880–889: octogintaoctingentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
890–899: nonagintaoctingentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
Advertisement