Novenonagintaducentillion

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A novenonagintaducentillion is equal to \(10^{900}\) in the short scale and \(10^{1794}\) in the long scale by the Conway and Guy's naming system^[1]^[2]^[3]^[4]^[5] as it is the 299th -illion number.

In the long scale, \(10^{900}\) is called quinquagintacentillion.

Aarex Tiaokhiao calls \(10^{900}\) tricentillion.^[6] He also gave the names noohol and 900-noogol, referring to the short scale value of this number.^[7]

\(10^{900}\) is also called trihectillion in Russ Rowlett's Greek-based naming system of zillions.^[8]

Wikia user NumLynx gave the name trecentisand for this number's short scale value.^[9]

RedBandServerYT calls this number nanesimal-googol for the number's short scale value.^[10]

Decimal Expansion[]

Short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For the short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{900}\) (exact)
Arrow notation	\(10\uparrow 900\) (exact)
Steinhaus-Moser Notation	353[3]	354[3]
Chained arrow notation	\(10\rightarrow 900\) (exact)
Taro's multivariable Ackermann function	A(3,2986)	A(3,2987)
BEAF & Bird's array notation	{10,900} (exact)
Hyper-E notation	E900 (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)(353)	m(1)(354)
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)(0)(0)[57]	(0)(0)(0)(0)(0)(0)(0)(0)(0)[58]
Copy notation	9[900]	1[901]
Pound-Star Notation	#((53))18	#((54))18
Hyperfactorial array notation	411!	412!
Fast-growing hierarchy	\(f_2(2978)\)	\(f_2(2979)\)
Hardy hierarchy	\(H_{\omega^2}(2978)\)	\(H_{\omega^2}(2979)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^2 9}}(10)\) (exact)

For the long scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{1794}\) (exact)
Arrow notation	\(10\uparrow 1794\) (exact)
Steinhaus-Moser Notation	639[3]	640[3]
Chained arrow notation	\(10\rightarrow 1794\) (exact)
Taro's multivariable Ackermann function	A(3,5956)	A(3,5957)
BEAF & Bird's array notation	{10,1794} (exact)
Hyper-E notation	E1794 (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)(639)	m(1)(640)
Bashicu matrix system	(0)(1)[3]	(0)(1)[4]
Copy notation	9[1794]	1[1795]
Pound-Star Notation	#((613))24	#((614))24
Hyperfactorial array notation	736!	737!
Fast-growing hierarchy	\(f_2(5947)\)	\(f_2(5948)\)
Hardy hierarchy	\(H_{\omega^2}(5947)\)	\(H_{\omega^2}(5948)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^3+\omega^2 7+\omega 9+4}}(10)\) (exact)

Sources[]

↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-19.
↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-19.
↑ Fish. Conway's zillion numbers. Retrieved 2023-02-19.
↑ Fish. Conway's illion converter - 10^900. Retrieved 2023-02-19.
↑ Aarex Tiaokhiao's illion numbers^{[dead link]}
↑ Part 1 (LAN) - Aarex Googology^{[dead link]}
↑ Russ Rowlett's Greek Based -illions
↑ NumLynx's Large Numbers
↑ RedBandServerYT. n-ary numbers. Retrieved 26 November 2021.

See also[]

Standard -illion numbers 10³ⁿ⁺³ (10⁶ⁿ)

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

Standard -ducentillion numbers 10⁶⁰³ (10¹²⁰⁰)

Main article: -illion

[1] Conway and Guy. (1995) "The book of Numbers" Copernicus

[2] Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-19.

[3] Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-19.

[fish-4] Fish. Conway's zillion numbers. Retrieved 2023-02-19.

[5] Fish. Conway's illion converter - 10^900. Retrieved 2023-02-19.

[6] Aarex Tiaokhiao's illion numbers^{[dead link]}

[7] Part 1 (LAN) - Aarex Googology^{[dead link]}

[8] Russ Rowlett's Greek Based -illions

[9] NumLynx's Large Numbers

[10] RedBandServerYT. n-ary numbers. Retrieved 26 November 2021.

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