Duodecioctingentillion

A duodecioctingentillion is equal to \(10^{2439}\) in the short scale and \(10^{4872}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 812th -illion number.
In the long scale, \(10^{2439}\) is called sesquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2439}\) (exact) 	\(1\times10^{2439}\) (exact)
Arrow notation 	\(10\uparrow 2439\) (exact) 	\(10\uparrow 2439\) (exact)
Steinhaus-Moser Notation 	834[3] 	835[3]
Chained arrow notation 	\(10\rightarrow 2439\) (exact) 	\(10\rightarrow 2439\) (exact)
Taro's multivariable Ackermann function	A(3,8099) 	A(3,8100)
BEAF & Bird's array notation 	{10,2439} (exact) 	{10,2439} (exact)
Hyper-E notation 	E2439 (exact) 	E2439 (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)(834) 	m(1)(835)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8089)\) 	\(f_2(8090)\)
Hardy hierarchy 	\(H_{\omega^2}(8089)\) 	\(H_{\omega^2}(8090)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4872}\) (exact) 	\(1\times10^{4872}\) (exact)
Arrow notation 	\(10\uparrow 4872\) (exact) 	\(10\uparrow 4872\) (exact)
Steinhaus-Moser Notation 	1529[3] 	1530[3]
Chained arrow notation 	\(10\rightarrow 4872\) (exact) 	\(10\rightarrow 4872\) (exact)
Taro's multivariable Ackermann function	A(3,16181) 	A(3,16182)
BEAF & Bird's array notation 	{10,4872} (exact) 	{10,4872} (exact)
Hyper-E notation 	E4872 (exact) 	E4872 (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)(1529) 	m(1)(1530)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16170)\) 	\(f_2(16171)\)
Hardy hierarchy 	\(H_{\omega^2}(16170)\) 	\(H_{\omega^2}(16171)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 7+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers