Duoquinquagintaseptingentillion

A duoquinquagintaseptingentillion is equal to \(10^{2259}\) in the short scale and \(10^{4512}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 752nd -illion number.
In the long scale, \(10^{2259}\) is called seseptuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2259}\) (exact) 	\(1\times10^{2259}\) (exact)
Arrow notation 	\(10\uparrow 2259\) (exact) 	\(10\uparrow 2259\) (exact)
Steinhaus-Moser Notation 	780[3] 	781[3]
Chained arrow notation 	\(10\rightarrow 2259\) (exact) 	\(10\rightarrow 2259\) (exact)
Taro's multivariable Ackermann function	A(3,7501) 	A(3,7502)
BEAF & Bird's array notation 	{10,2259} (exact) 	{10,2259} (exact)
Hyper-E notation 	E2259 (exact) 	E2259 (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)(780) 	m(1)(781)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7491)\) 	\(f_2(7492)\)
Hardy hierarchy 	\(H_{\omega^2}(7491)\) 	\(H_{\omega^2}(7492)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4512}\) (exact) 	\(1\times10^{4512}\) (exact)
Arrow notation 	\(10\uparrow 4512\) (exact) 	\(10\uparrow 4512\) (exact)
Steinhaus-Moser Notation 	1429[3] 	1430[3]
Chained arrow notation 	\(10\rightarrow 4512\) (exact) 	\(10\rightarrow 4512\) (exact)
Taro's multivariable Ackermann function	A(3,14985) 	A(3,14986)
BEAF & Bird's array notation 	{10,4512} (exact) 	{10,4512} (exact)
Hyper-E notation 	E4512 (exact) 	E4512 (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)(1429) 	m(1)(1430)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14974)\) 	\(f_2(14975)\)
Hardy hierarchy 	\(H_{\omega^2}(14974)\) 	\(H_{\omega^2}(14975)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers