Duotrecentillion

A duotrecentillion is equal to \(10^{909}\) in the short scale and \(10^{1812}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 302nd -illion number.
In the long scale, \(10^{909}\) is called unquinquagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{909}\) (exact) 	\(1\times10^{909}\) (exact)
Arrow notation 	\(10\uparrow 909\) (exact) 	\(10\uparrow 909\) (exact)
Steinhaus-Moser Notation 	356[3] 	357[3]
Chained arrow notation 	\(10\rightarrow 909\) (exact) 	\(10\rightarrow 909\) (exact)
Taro's multivariable Ackermann function	A(3,3016) 	A(3,3017)
BEAF & Bird's array notation 	{10,909} (exact) 	{10,909} (exact)
Hyper-E notation 	E909 (exact) 	E909 (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)(356) 	m(1)(357)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[59] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[60]
Fast-growing hierarchy 	\(f_2(3008)\) 	\(f_2(3009)\)
Hardy hierarchy 	\(H_{\omega^2}(3008)\) 	\(H_{\omega^2}(3009)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1812}\) (exact) 	\(1\times10^{1812}\) (exact)
Arrow notation 	\(10\uparrow 1812\) (exact) 	\(10\uparrow 1812\) (exact)
Steinhaus-Moser Notation 	644[3] 	645[3]
Chained arrow notation 	\(10\rightarrow 1812\) (exact) 	\(10\rightarrow 1812\) (exact)
Taro's multivariable Ackermann function	A(3,6016) 	A(3,6017)
BEAF & Bird's array notation 	{10,1812} (exact) 	{10,1812} (exact)
Hyper-E notation 	E1812 (exact) 	E1812 (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)(644) 	m(1)(645)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6006)\) 	\(f_2(6007)\)
Hardy hierarchy 	\(H_{\omega^2}(6006)\) 	\(H_{\omega^2}(6007)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers