Duoquinquagintaquingentillion

A duoquinquagintaquingentillion is equal to \(10^{1659}\) in the short scale and \(10^{3312}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 552nd -illion number.
In the long scale, \(10^{1659}\) is called seseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1659}\) (exact) 	\(1\times10^{1659}\) (exact)
Arrow notation 	\(10\uparrow 1659\) (exact) 	\(10\uparrow 1659\) (exact)
Steinhaus-Moser Notation 	597[3] 	598[3]
Chained arrow notation 	\(10\rightarrow 1659\) (exact) 	\(10\rightarrow 1659\) (exact)
Taro's multivariable Ackermann function	A(3,5508) 	A(3,5509)
BEAF & Bird's array notation 	{10,1659} (exact) 	{10,1659} (exact)
Hyper-E notation 	E1659 (exact) 	E1659 (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)(597) 	m(1)(598)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5498)\) 	\(f_2(5499)\)
Hardy hierarchy 	\(H_{\omega^2}(5498)\) 	\(H_{\omega^2}(5499)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3312}\) (exact) 	\(1\times10^{3312}\) (exact)
Arrow notation 	\(10\uparrow 3312\) (exact) 	\(10\uparrow 3312\) (exact)
Steinhaus-Moser Notation 	1090[3] 	1091[3]
Chained arrow notation 	\(10\rightarrow 3312\) (exact) 	\(10\rightarrow 3312\) (exact)
Taro's multivariable Ackermann function	A(3,10999) 	A(3,11000)
BEAF & Bird's array notation 	{10,3312} (exact) 	{10,3312} (exact)
Hyper-E notation 	E3312 (exact) 	E3312 (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)(1090) 	m(1)(1091)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10988)\) 	\(f_2(10989)\)
Hardy hierarchy 	\(H_{\omega^2}(10988)\) 	\(H_{\omega^2}(10989)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega+2}}(10)\) (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