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sesquinquagintaducentillion is equal to \(10^{771}\) in the short scale and \(10^{1536}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] as it is the 256th -illion number.

In the long scale, \(10^{771}\) is called octoviginticentilliard.

SuperJedi224 coined bi-exitillion for the short scale value, and is equal to H(162) = H(256) in H* function.[6]

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{771}\) (exact)
Arrow notation \(10\uparrow 771\) (exact)
Steinhaus-Moser Notation 309[3] 310[3]
Chained arrow notation \(10\rightarrow 771\) (exact)
Taro's multivariable Ackermann function A(3,2558) A(3,2559)
BEAF & Bird's array notation {10,771} (exact)
Hyper-E notation E771 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(8)\) \(s(1)^3(\lambda x.x+1)(9)\)
m(n) map m(1)(309) m(1)(310)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)(0)[32] (0)(0)(0)(0)(0)(0)(0)(0)(0)[33]
Fast-growing hierarchy \(f_2(2549)\) \(f_2(2550)\)
Hardy hierarchy \(H_{\omega^2}(2549)\) \(H_{\omega^2}(2550)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 7+\omega 7+1}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{1536}\) (exact)
Arrow notation \(10\uparrow 1536\) (exact)
Steinhaus-Moser Notation 559[3] 560[3]
Chained arrow notation \(10\rightarrow 1536\) (exact)
Taro's multivariable Ackermann function A(3,5099) A(3,5100)
BEAF & Bird's array notation {10,1536} (exact)
Hyper-E notation E1536 (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)(559) m(1)(560)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Fast-growing hierarchy \(f_2(5090)\) \(f_2(5091)\)
Hardy hierarchy \(H_{\omega^2}(5090)\) \(H_{\omega^2}(5091)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3+\omega^2 5+\omega 3+6}}(10)\) (exact)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-24.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-24.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-24.
  5. Fish. Conway's illion converter - 10^771. Retrieved 2023-02-24.
  6. SuperJedi224. Illions - Almost Infinite. Retrieved 2023-02-25.

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
200–209: ducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
210–219: deciducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
220–229: vigintiducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
230–239: trigintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
240–249: quadragintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
250–259: quinquagintaducentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
260–269: sexagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
270–279: septuagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
280–289: octogintaducentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
290–299: nonagintaducentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
"-Illion" numbers by SuperJedi224

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

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