Duotrigintaseptingentillion

A duotrigintaseptingentillion is equal to \(10^{2199}\) in the short scale and \(10^{4392}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 732nd -illion number.
In the long scale, \(10^{2199}\) is called sesexagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2199}\) (exact) 	\(1\times10^{2199}\) (exact)
Arrow notation 	\(10\uparrow 2199\) (exact) 	\(10\uparrow 2199\) (exact)
Steinhaus-Moser Notation 	762[3] 	763[3]
Chained arrow notation 	\(10\rightarrow 2199\) (exact) 	\(10\rightarrow 2199\) (exact)
Taro's multivariable Ackermann function	A(3,7301) 	A(3,7302)
BEAF & Bird's array notation 	{10,2199} (exact) 	{10,2199} (exact)
Hyper-E notation 	E2199 (exact) 	E2199 (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)(762) 	m(1)(763)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7292)\) 	\(f_2(7293)\)
Hardy hierarchy 	\(H_{\omega^2}(7292)\) 	\(H_{\omega^2}(7293)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 9+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 9+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4392}\) (exact) 	\(1\times10^{4392}\) (exact)
Arrow notation 	\(10\uparrow 4392\) (exact) 	\(10\uparrow 4392\) (exact)
Steinhaus-Moser Notation 	1396[3] 	1397[3]
Chained arrow notation 	\(10\rightarrow 4392\) (exact) 	\(10\rightarrow 4392\) (exact)
Taro's multivariable Ackermann function	A(3,14586) 	A(3,14587)
BEAF & Bird's array notation 	{10,4392} (exact) 	{10,4392} (exact)
Hyper-E notation 	E4392 (exact) 	E4392 (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)(1396) 	m(1)(1397)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14576)\) 	\(f_2(14577)\)
Hardy hierarchy 	\(H_{\omega^2}(14576)\) 	\(H_{\omega^2}(14577)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 3+\omega 9+2}}(10)\) (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