Duodecitrecentillion

A duodecitrecentillion is equal to \(10^{939}\) in the short scale and \(10^{1872}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 312th -illion number.
In the long scale, \(10^{939}\) is called sesquinquagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{939}\) (exact) 	\(1\times10^{939}\) (exact)
Arrow notation 	\(10\uparrow 939\) (exact) 	\(10\uparrow 939\) (exact)
Steinhaus-Moser Notation 	366[3] 	367[3]
Chained arrow notation 	\(10\rightarrow 939\) (exact) 	\(10\rightarrow 939\) (exact)
Taro's multivariable Ackermann function	A(3,3116) 	A(3,3117)
BEAF & Bird's array notation 	{10,939} (exact) 	{10,939} (exact)
Hyper-E notation 	E939 (exact) 	E939 (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)(366) 	m(1)(367)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[68] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[69]
Fast-growing hierarchy 	\(f_2(3107)\) 	\(f_2(3108)\)
Hardy hierarchy 	\(H_{\omega^2}(3107)\) 	\(H_{\omega^2}(3108)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1872}\) (exact) 	\(1\times10^{1872}\) (exact)
Arrow notation 	\(10\uparrow 1872\) (exact) 	\(10\uparrow 1872\) (exact)
Steinhaus-Moser Notation 	663[3] 	664[3]
Chained arrow notation 	\(10\rightarrow 1872\) (exact) 	\(10\rightarrow 1872\) (exact)
Taro's multivariable Ackermann function	A(3,6215) 	A(3,6216)
BEAF & Bird's array notation 	{10,1872} (exact) 	{10,1872} (exact)
Hyper-E notation 	E1872 (exact) 	E1872 (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)(663) 	m(1)(664)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6206)\) 	\(f_2(6207)\)
Hardy hierarchy 	\(H_{\omega^2}(6206)\) 	\(H_{\omega^2}(6207)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega 7+2}}(10)\) (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