Duovigintioctingentillion

A duovigintioctingentillion is equal to \(10^{2469}\) in the short scale and \(10^{4932}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 822nd -illion number.
In the long scale, \(10^{2469}\) is called undeciquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2469}\) (exact) 	\(1\times10^{2469}\) (exact)
Arrow notation 	\(10\uparrow 2469\) (exact) 	\(10\uparrow 2469\) (exact)
Steinhaus-Moser Notation 	843[3] 	844[3]
Chained arrow notation 	\(10\rightarrow 2469\) (exact) 	\(10\rightarrow 2469\) (exact)
Taro's multivariable Ackermann function	A(3,8198) 	A(3,8199)
BEAF & Bird's array notation 	{10,2469} (exact) 	{10,2469} (exact)
Hyper-E notation 	E2469 (exact) 	E2469 (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)(843) 	m(1)(844)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8188)\) 	\(f_2(8189)\)
Hardy hierarchy 	\(H_{\omega^2}(8188)\) 	\(H_{\omega^2}(8189)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 6+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 6+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4932}\) (exact) 	\(1\times10^{4932}\) (exact)
Arrow notation 	\(10\uparrow 4932\) (exact) 	\(10\uparrow 4932\) (exact)
Steinhaus-Moser Notation 	1546[3] 	1547[3]
Chained arrow notation 	\(10\rightarrow 4932\) (exact) 	\(10\rightarrow 4932\) (exact)
Taro's multivariable Ackermann function	A(3,16380) 	A(3,16381)
BEAF & Bird's array notation 	{10,4932} (exact) 	{10,4932} (exact)
Hyper-E notation 	E4932 (exact) 	E4932 (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)(1546) 	m(1)(1547)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16369)\) 	\(f_2(16370)\)
Hardy hierarchy 	\(H_{\omega^2}(16369)\) 	\(H_{\omega^2}(16370)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 9+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 9+\omega 3+2}}(10)\) (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