Duosexagintacentillion

A duosexagintacentillion is equal to \(10^{489}\) in the short scale and \(10^{972}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 162nd -illion number.
In the long scale, \(10^{489}\) is called unoctogintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{489}\) (exact) 	\(1\times10^{489}\) (exact)
Arrow notation 	\(10\uparrow 489\) (exact) 	\(10\uparrow 489\) (exact)
Steinhaus-Moser Notation 	210[3] 	211[3]
Chained arrow notation 	\(10\rightarrow 489\) (exact) 	\(10\rightarrow 489\) (exact)
Taro's multivariable Ackermann function	A(3,1621) 	A(3,1622)
BEAF & Bird's array notation 	{10,489} (exact) 	{10,489} (exact)
Hyper-E notation 	E489 (exact) 	E489 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(210) 	m(1)(211)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[81] 	(0)(0)(0)(0)(0)(0)(0)(0)[82]
Fast-growing hierarchy 	\(f_2(1613)\) 	\(f_2(1614)\)
Hardy hierarchy 	\(H_{\omega^2}(1613)\) 	\(H_{\omega^2}(1614)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega 8+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega 8+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{972}\) (exact) 	\(1\times10^{972}\) (exact)
Arrow notation 	\(10\uparrow 972\) (exact) 	\(10\uparrow 972\) (exact)
Steinhaus-Moser Notation 	377[3] 	378[3]
Chained arrow notation 	\(10\rightarrow 972\) (exact) 	\(10\rightarrow 972\) (exact)
Taro's multivariable Ackermann function	A(3,3225) 	A(3,3226)
BEAF & Bird's array notation 	{10,972} (exact) 	{10,972} (exact)
Hyper-E notation 	E972 (exact) 	E972 (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)(377) 	m(1)(378)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[79] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[80]
Fast-growing hierarchy 	\(f_2(3217)\) 	\(f_2(3218)\)
Hardy hierarchy 	\(H_{\omega^2}(3217)\) 	\(H_{\omega^2}(3218)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+\omega 7+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent