Duodeciseptingentillion

A duodeciseptingentillion is equal to \(10^{2139}\) in the short scale and \(10^{4272}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 712th -illion number.
In the long scale, \(10^{2139}\) is called sesquinquagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2139}\) (exact) 	\(1\times10^{2139}\) (exact)
Arrow notation 	\(10\uparrow 2139\) (exact) 	\(10\uparrow 2139\) (exact)
Steinhaus-Moser Notation 	744[3] 	745[3]
Chained arrow notation 	\(10\rightarrow 2139\) (exact) 	\(10\rightarrow 2139\) (exact)
Taro's multivariable Ackermann function	A(3,7102) 	A(3,7103)
BEAF & Bird's array notation 	{10,2139} (exact) 	{10,2139} (exact)
Hyper-E notation 	E2139 (exact) 	E2139 (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)(744) 	m(1)(745)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7092)\) 	\(f_2(7093)\)
Hardy hierarchy 	\(H_{\omega^2}(7092)\) 	\(H_{\omega^2}(7093)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4272}\) (exact) 	\(1\times10^{4272}\) (exact)
Arrow notation 	\(10\uparrow 4272\) (exact) 	\(10\uparrow 4272\) (exact)
Steinhaus-Moser Notation 	1362[3] 	1363[3]
Chained arrow notation 	\(10\rightarrow 4272\) (exact) 	\(10\rightarrow 4272\) (exact)
Taro's multivariable Ackermann function	A(3,14188) 	A(3,14189)
BEAF & Bird's array notation 	{10,4272} (exact) 	{10,4272} (exact)
Hyper-E notation 	E4272 (exact) 	E4272 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1362) 	m(1)(1363)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14177)\) 	\(f_2(14178)\)
Hardy hierarchy 	\(H_{\omega^2}(14177)\) 	\(H_{\omega^2}(14178)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 7+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers