Duoquinquagintaducentillion

A duoquinquagintaducentillion is equal to \(10^{759}\) in the short scale and \(10^{1512}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 252nd -illion number.
In the long scale, \(10^{759}\) is called sesviginticentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{759}\) (exact) 	\(1\times10^{759}\) (exact)
Arrow notation 	\(10\uparrow 759\) (exact) 	\(10\uparrow 759\) (exact)
Steinhaus-Moser Notation 	305[3] 	306[3]
Chained arrow notation 	\(10\rightarrow 759\) (exact) 	\(10\rightarrow 759\) (exact)
Taro's multivariable Ackermann function	A(3,2518) 	A(3,2519)
BEAF & Bird's array notation 	{10,759} (exact) 	{10,759} (exact)
Hyper-E notation 	E759 (exact) 	E759 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(305) 	m(1)(306)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[30] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[31]
Fast-growing hierarchy 	\(f_2(2510)\) 	\(f_2(2511)\)
Hardy hierarchy 	\(H_{\omega^2}(2510)\) 	\(H_{\omega^2}(2511)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1512}\) (exact) 	\(1\times10^{1512}\) (exact)
Arrow notation 	\(10\uparrow 1512\) (exact) 	\(10\uparrow 1512\) (exact)
Steinhaus-Moser Notation 	551[3] 	552[3]
Chained arrow notation 	\(10\rightarrow 1512\) (exact) 	\(10\rightarrow 1512\) (exact)
Taro's multivariable Ackermann function	A(3,5019) 	A(3,5020)
BEAF & Bird's array notation 	{10,1512} (exact) 	{10,1512} (exact)
Hyper-E notation 	E1512 (exact) 	E1512 (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)(551) 	m(1)(552)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5010)\) 	\(f_2(5011)\)
Hardy hierarchy 	\(H_{\omega^2}(5010)\) 	\(H_{\omega^2}(5011)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers