Duoseptuagintaseptingentillion

A duoseptuagintaseptingentillion is equal to \(10^{2319}\) in the short scale and \(10^{4632}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 772nd -illion number.
In the long scale, \(10^{2319}\) is called sexoctogintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2319}\) (exact) 	\(1\times10^{2319}\) (exact)
Arrow notation 	\(10\uparrow 2319\) (exact) 	\(10\uparrow 2319\) (exact)
Steinhaus-Moser Notation 	798[3] 	799[3]
Chained arrow notation 	\(10\rightarrow 2319\) (exact) 	\(10\rightarrow 2319\) (exact)
Taro's multivariable Ackermann function	A(3,7700) 	A(3,7701)
BEAF & Bird's array notation 	{10,2319} (exact) 	{10,2319} (exact)
Hyper-E notation 	E2319 (exact) 	E2319 (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)(798) 	m(1)(799)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7690)\) 	\(f_2(7691)\)
Hardy hierarchy 	\(H_{\omega^2}(7690)\) 	\(H_{\omega^2}(7691)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4632}\) (exact) 	\(1\times10^{4632}\) (exact)
Arrow notation 	\(10\uparrow 4632\) (exact) 	\(10\uparrow 4632\) (exact)
Steinhaus-Moser Notation 	1463[3] 	1464[3]
Chained arrow notation 	\(10\rightarrow 4632\) (exact) 	\(10\rightarrow 4632\) (exact)
Taro's multivariable Ackermann function	A(3,15384) 	A(3,15385)
BEAF & Bird's array notation 	{10,4632} (exact) 	{10,4632} (exact)
Hyper-E notation 	E4632 (exact) 	E4632 (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)(1463) 	m(1)(1464)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15373)\) 	\(f_2(15374)\)
Hardy hierarchy 	\(H_{\omega^2}(15373)\) 	\(H_{\omega^2}(15374)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 3+2}}(10)\) (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