Duodeciducentillion

A duodeciducentillion is equal to \(10^{639}\) in the short scale and \(10^{1272}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 212th -illion number.
In the long scale, \(10^{639}\) is called sexcentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{639}\) (exact) 	\(1\times10^{639}\) (exact)
Arrow notation 	\(10\uparrow 639\) (exact) 	\(10\uparrow 639\) (exact)
Steinhaus-Moser Notation 	263[3] 	264[3]
Chained arrow notation 	\(10\rightarrow 639\) (exact) 	\(10\rightarrow 639\) (exact)
Taro's multivariable Ackermann function	A(3,2119) 	A(3,2120)
BEAF & Bird's array notation 	{10,639} (exact) 	{10,639} (exact)
Hyper-E notation 	E639 (exact) 	E639 (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)(263) 	m(1)(264)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[17] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[18]
Fast-growing hierarchy 	\(f_2(2111)\) 	\(f_2(2112)\)
Hardy hierarchy 	\(H_{\omega^2}(2111)\) 	\(H_{\omega^2}(2112)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1272}\) (exact) 	\(1\times10^{1272}\) (exact)
Arrow notation 	\(10\uparrow 1272\) (exact) 	\(10\uparrow 1272\) (exact)
Steinhaus-Moser Notation 	475[3] 	476[3]
Chained arrow notation 	\(10\rightarrow 1272\) (exact) 	\(10\rightarrow 1272\) (exact)
Taro's multivariable Ackermann function	A(3,4222) 	A(3,4223)
BEAF & Bird's array notation 	{10,1272} (exact) 	{10,1272} (exact)
Hyper-E notation 	E1272 (exact) 	E1272 (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)(475) 	m(1)(476)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4213)\) 	\(f_2(4214)\)
Hardy hierarchy 	\(H_{\omega^2}(4213)\) 	\(H_{\omega^2}(4214)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 7+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers