Duooctogintaseptingentillion

A duooctogintaseptingentillion is equal to \(10^{2349}\) in the short scale and \(10^{4692}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 782nd -illion number.
In the long scale, \(10^{2349}\) is called unnonagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2349}\) (exact) 	\(1\times10^{2349}\) (exact)
Arrow notation 	\(10\uparrow 2349\) (exact) 	\(10\uparrow 2349\) (exact)
Steinhaus-Moser Notation 	807[3] 	808[3]
Chained arrow notation 	\(10\rightarrow 2349\) (exact) 	\(10\rightarrow 2349\) (exact)
Taro's multivariable Ackermann function	A(3,7800) 	A(3,7801)
BEAF & Bird's array notation 	{10,2349} (exact) 	{10,2349} (exact)
Hyper-E notation 	E2349 (exact) 	E2349 (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)(807) 	m(1)(808)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7790)\) 	\(f_2(7791)\)
Hardy hierarchy 	\(H_{\omega^2}(7790)\) 	\(H_{\omega^2}(7791)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 4+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 4+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4692}\) (exact) 	\(1\times10^{4692}\) (exact)
Arrow notation 	\(10\uparrow 4692\) (exact) 	\(10\uparrow 4692\) (exact)
Steinhaus-Moser Notation 	1480[3] 	1481[3]
Chained arrow notation 	\(10\rightarrow 4692\) (exact) 	\(10\rightarrow 4692\) (exact)
Taro's multivariable Ackermann function	A(3,15583) 	A(3,15584)
BEAF & Bird's array notation 	{10,4692} (exact) 	{10,4692} (exact)
Hyper-E notation 	E4692 (exact) 	E4692 (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)(1480) 	m(1)(1481)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15572)\) 	\(f_2(15573)\)
Hardy hierarchy 	\(H_{\omega^2}(15572)\) 	\(H_{\omega^2}(15573)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 9+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers