Quinquinquagintaquingentillion

A quinquinquagintaquingentillion is equal to \(10^{1668}\) in the short scale and \(10^{3330}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 555th -illion number.
In the long scale, \(10^{1668}\) is called octoseptuagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1668}\) (exact) 	\(1\times10^{1668}\) (exact)
Arrow notation 	\(10\uparrow 1668\) (exact) 	\(10\uparrow 1668\) (exact)
Steinhaus-Moser Notation 	600[3] 	601[3]
Chained arrow notation 	\(10\rightarrow 1668\) (exact) 	\(10\rightarrow 1668\) (exact)
Taro's multivariable Ackermann function	A(3,5537) 	A(3,5538)
BEAF & Bird's array notation 	{10,1668} (exact) 	{10,1668} (exact)
Hyper-E notation 	E1668 (exact) 	E1668 (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)(600) 	m(1)(601)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5528)\) 	\(f_2(5529)\)
Hardy hierarchy 	\(H_{\omega^2}(5528)\) 	\(H_{\omega^2}(5529)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3330}\) (exact) 	\(1\times10^{3330}\) (exact)
Arrow notation 	\(10\uparrow 3330\) (exact) 	\(10\uparrow 3330\) (exact)
Steinhaus-Moser Notation 	1095[3] 	1096[3]
Chained arrow notation 	\(10\rightarrow 3330\) (exact) 	\(10\rightarrow 3330\) (exact)
Taro's multivariable Ackermann function	A(3,11059) 	A(3,11060)
BEAF & Bird's array notation 	{10,3330} (exact) 	{10,3330} (exact)
Hyper-E notation 	E3330 (exact) 	E3330 (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)(1095) 	m(1)(1096)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11048)\) 	\(f_2(11049)\)
Hardy hierarchy 	\(H_{\omega^2}(11048)\) 	\(H_{\omega^2}(11049)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 3}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers