Duosexagintaseptingentillion

A duosexagintaseptingentillion is equal to \(10^{2289}\) in the short scale and \(10^{4572}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 762nd -illion number.
In the long scale, \(10^{2289}\) is called unoctogintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2289}\) (exact) 	\(1\times10^{2289}\) (exact)
Arrow notation 	\(10\uparrow 2289\) (exact) 	\(10\uparrow 2289\) (exact)
Steinhaus-Moser Notation 	789[3] 	790[3]
Chained arrow notation 	\(10\rightarrow 2289\) (exact) 	\(10\rightarrow 2289\) (exact)
Taro's multivariable Ackermann function	A(3,7600) 	A(3,7601)
BEAF & Bird's array notation 	{10,2289} (exact) 	{10,2289} (exact)
Hyper-E notation 	E2289 (exact) 	E2289 (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)(789) 	m(1)(790)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7591)\) 	\(f_2(7592)\)
Hardy hierarchy 	\(H_{\omega^2}(7591)\) 	\(H_{\omega^2}(7592)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 8+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 8+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4572}\) (exact) 	\(1\times10^{4572}\) (exact)
Arrow notation 	\(10\uparrow 4572\) (exact) 	\(10\uparrow 4572\) (exact)
Steinhaus-Moser Notation 	1446[3] 	1447[3]
Chained arrow notation 	\(10\rightarrow 4572\) (exact) 	\(10\rightarrow 4572\) (exact)
Taro's multivariable Ackermann function	A(3,15184) 	A(3,15185)
BEAF & Bird's array notation 	{10,4572} (exact) 	{10,4572} (exact)
Hyper-E notation 	E4572 (exact) 	E4572 (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)(1446) 	m(1)(1447)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15173)\) 	\(f_2(15174)\)
Hardy hierarchy 	\(H_{\omega^2}(15173)\) 	\(H_{\omega^2}(15174)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 7+2}}(10)\) (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