Duotrigintaoctingentillion

A duotrigintaoctingentillion is equal to \(10^{2499}\) in the short scale and \(10^{4992}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 832nd -illion number.
In the long scale, \(10^{2499}\) is called sedeciquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2499}\) (exact) 	\(1\times10^{2499}\) (exact)
Arrow notation 	\(10\uparrow 2499\) (exact) 	\(10\uparrow 2499\) (exact)
Steinhaus-Moser Notation 	852[3] 	853[3]
Chained arrow notation 	\(10\rightarrow 2499\) (exact) 	\(10\rightarrow 2499\) (exact)
Taro's multivariable Ackermann function	A(3,8298) 	A(3,8299)
BEAF & Bird's array notation 	{10,2499} (exact) 	{10,2499} (exact)
Hyper-E notation 	E2499 (exact) 	E2499 (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)(852) 	m(1)(853)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8288)\) 	\(f_2(8289)\)
Hardy hierarchy 	\(H_{\omega^2}(8288)\) 	\(H_{\omega^2}(8289)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 9+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 9+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4992}\) (exact) 	\(1\times10^{4992}\) (exact)
Arrow notation 	\(10\uparrow 4992\) (exact) 	\(10\uparrow 4992\) (exact)
Steinhaus-Moser Notation 	1562[3] 	1563[3]
Chained arrow notation 	\(10\rightarrow 4992\) (exact) 	\(10\rightarrow 4992\) (exact)
Taro's multivariable Ackermann function	A(3,16580) 	A(3,16581)
BEAF & Bird's array notation 	{10,4992} (exact) 	{10,4992} (exact)
Hyper-E notation 	E4992 (exact) 	E4992 (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)(1562) 	m(1)(1563)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16569)\) 	\(f_2(16570)\)
Hardy hierarchy 	\(H_{\omega^2}(16569)\) 	\(H_{\omega^2}(16570)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 9+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 9+\omega 9+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers