Duodecisescentillion

A duodecisescentillion is equal to \(10^{1839}\) in the short scale and \(10^{3672}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 612th -illion number.
In the long scale, \(10^{1839}\) is called sestrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1839}\) (exact) 	\(1\times10^{1839}\) (exact)
Arrow notation 	\(10\uparrow 1839\) (exact) 	\(10\uparrow 1839\) (exact)
Steinhaus-Moser Notation 	653[3] 	654[3]
Chained arrow notation 	\(10\rightarrow 1839\) (exact) 	\(10\rightarrow 1839\) (exact)
Taro's multivariable Ackermann function	A(3,6106) 	A(3,6107)
BEAF & Bird's array notation 	{10,1839} (exact) 	{10,1839} (exact)
Hyper-E notation 	E1839 (exact) 	E1839 (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)(653) 	m(1)(654)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6096)\) 	\(f_2(6097)\)
Hardy hierarchy 	\(H_{\omega^2}(6096)\) 	\(H_{\omega^2}(6097)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3672}\) (exact) 	\(1\times10^{3672}\) (exact)
Arrow notation 	\(10\uparrow 3672\) (exact) 	\(10\uparrow 3672\) (exact)
Steinhaus-Moser Notation 	1193[3] 	1194[3]
Chained arrow notation 	\(10\rightarrow 3672\) (exact) 	\(10\rightarrow 3672\) (exact)
Taro's multivariable Ackermann function	A(3,12195) 	A(3,12196)
BEAF & Bird's array notation 	{10,3672} (exact) 	{10,3672} (exact)
Hyper-E notation 	E3672 (exact) 	E3672 (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)(1193) 	m(1)(1194)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12184)\) 	\(f_2(12185)\)
Hardy hierarchy 	\(H_{\omega^2}(12184)\) 	\(H_{\omega^2}(12185)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 7+2}}(10)\) (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