Duoquinquagintaoctingentillion

A duoquinquagintaoctingentillion is equal to \(10^{2559}\) in the short scale and \(10^{5112}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 852nd -illion number.
In the long scale, \(10^{2559}\) is called sesvigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2559}\) (exact) 	\(1\times10^{2559}\) (exact)
Arrow notation 	\(10\uparrow 2559\) (exact) 	\(10\uparrow 2559\) (exact)
Steinhaus-Moser Notation 	870[3] 	871[3]
Chained arrow notation 	\(10\rightarrow 2559\) (exact) 	\(10\rightarrow 2559\) (exact)
Taro's multivariable Ackermann function	A(3,8497) 	A(3,8498)
BEAF & Bird's array notation 	{10,2559} (exact) 	{10,2559} (exact)
Hyper-E notation 	E2559 (exact) 	E2559 (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)(870) 	m(1)(871)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8487)\) 	\(f_2(8488)\)
Hardy hierarchy 	\(H_{\omega^2}(8487)\) 	\(H_{\omega^2}(8488)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5112}\) (exact) 	\(1\times10^{5112}\) (exact)
Arrow notation 	\(10\uparrow 5112\) (exact) 	\(10\uparrow 5112\) (exact)
Steinhaus-Moser Notation 	1595[3] 	1596[3]
Chained arrow notation 	\(10\rightarrow 5112\) (exact) 	\(10\rightarrow 5112\) (exact)
Taro's multivariable Ackermann function	A(3,16978) 	A(3,16979)
BEAF & Bird's array notation 	{10,5112} (exact) 	{10,5112} (exact)
Hyper-E notation 	E5112 (exact) 	E5112 (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)(1595) 	m(1)(1596)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16967)\) 	\(f_2(16968)\)
Hardy hierarchy 	\(H_{\omega^2}(16967)\) 	\(H_{\omega^2}(16968)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2+\omega+2}}(10)\) (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