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duotrigintatrecentillion is equal to \(10^{999}\) in the short scale and \(10^{1992}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] as it is the 332nd -illion number.

In the long scale, \(10^{999}\) is called sesexagintacentilliard.

Sbiis Saibian named \(10^{999}\) as trecenti-triginti-deutillion in the short scale and centi-sexaginti-sextilliard in the long scale.[6]

Duotrigintatrecentillion is also known as trecenduotrigintillion according to Landon Curt Noll's naming system.[7]

Decimal expansion[]

Written out in decimal form duotrigintatrecentillion (in the short scale) is:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In the long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{999}\) (exact)
Arrow notation \(10\uparrow 999\) (exact)
Steinhaus-Moser Notation 386[3] 387[3]
Chained arrow notation \(10\rightarrow 999\) (exact)
Taro's multivariable Ackermann function A(3,3315) A(3,3316)
BEAF & Bird's array notation {10,999} (exact)
Hyper-E notation E999 (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)(386) m(1)(387)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Copy notation 9[999] 10[500]
Pound-Star Notation #*((14))*19 #*((15))*19
H* function H(332)
Hyperfactorial array notation 449! 450!
Fast-growing hierarchy \(f_2(3306)\) \(f_2(3307)\)
Hardy hierarchy \(H_{\omega^2}(3306)\) \(H_{\omega^2}(3307)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 9+\omega 9+9}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{1992}\) (exact)
Arrow notation \(10\uparrow 1992\) (exact)
Steinhaus-Moser Notation 700[3] 701[3]
Chained arrow notation \(10\rightarrow 1992\) (exact)
Taro's multivariable Ackermann function A(3,6614) A(3,6615)
BEAF & Bird's array notation {10,1992} (exact)
Hyper-E notation E1992 (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)(700) m(1)(701)
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Copy notation 9[1992] 1[1993]
Pound-Star Notation #*((1993))*25 #*((1994))*25
Hyperfactorial array notation 805! 806!
Fast-growing hierarchy \(f_2(6604)\) \(f_2(6605)\)
Hardy hierarchy \(H_{\omega^2}(6604)\) \(H_{\omega^2}(6605)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3+\omega^2 9+\omega 9+2}}(10)\) (exact)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-28.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-28.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-28.
  5. Fish. Conway's illion converter - 10^999. Retrieved 2023-02-28.
  6. Sbiis Saibian. Ultimate Large Number List Retrieved 2023-02-28.
  7. Landon Curt Noll. The English name of a number Retrieved 2023-02-28.

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
Main article: -illion
300–309: trecentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
310–319: decitrecentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
320–329: vigintitrecentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
330–339: trigintatrecentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
340–349: quadragintatrecentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
350–359: quinquagintatrecentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
360–369: sexagintatrecentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
370–379: septuagintatrecentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
380–389: octogintatrecentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
390–399: nonagintatrecentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
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