Duovigintiducentillion

A duovigintiducentillion is equal to \(10^{669}\) in the short scale and \(10^{1332}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 222nd -illion number.
In the long scale, \(10^{669}\) is called undecicentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{669}\) (exact) 	\(1\times10^{669}\) (exact)
Arrow notation 	\(10\uparrow 669\) (exact) 	\(10\uparrow 669\) (exact)
Steinhaus-Moser Notation 	274[3] 	275[3]
Chained arrow notation 	\(10\rightarrow 669\) (exact) 	\(10\rightarrow 669\) (exact)
Taro's multivariable Ackermann function	A(3,2219) 	A(3,2220)
BEAF & Bird's array notation 	{10,669} (exact) 	{10,669} (exact)
Hyper-E notation 	E669 (exact) 	E669 (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)(274) 	m(1)(275)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[20] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[21]
Fast-growing hierarchy 	\(f_2(2211)\) 	\(f_2(2212)\)
Hardy hierarchy 	\(H_{\omega^2}(2211)\) 	\(H_{\omega^2}(2212)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 6+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 6+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1332}\) (exact) 	\(1\times10^{1332}\) (exact)
Arrow notation 	\(10\uparrow 1332\) (exact) 	\(10\uparrow 1332\) (exact)
Steinhaus-Moser Notation 	494[3] 	495[3]
Chained arrow notation 	\(10\rightarrow 1332\) (exact) 	\(10\rightarrow 1332\) (exact)
Taro's multivariable Ackermann function	A(3,4421) 	A(3,4422)
BEAF & Bird's array notation 	{10,1332} (exact) 	{10,1332} (exact)
Hyper-E notation 	E1332 (exact) 	E1332 (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)(494) 	m(1)(495)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4412)\) 	\(f_2(4413)\)
Hardy hierarchy 	\(H_{\omega^2}(4412)\) 	\(H_{\omega^2}(4413)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers