Quinoctogintaquingentillion

A quinoctogintaquingentillion is equal to \(10^{1758}\) in the short scale and \(10^{3510}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 585th -illion number.
In the long scale, \(10^{1758}\) is called trenonagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1758}\) (exact) 	\(1\times10^{1758}\) (exact)
Arrow notation 	\(10\uparrow 1758\) (exact) 	\(10\uparrow 1758\) (exact)
Steinhaus-Moser Notation 	628[3] 	629[3]
Chained arrow notation 	\(10\rightarrow 1758\) (exact) 	\(10\rightarrow 1758\) (exact)
Taro's multivariable Ackermann function	A(3,5836) 	A(3,5837)
BEAF & Bird's array notation 	{10,1758} (exact) 	{10,1758} (exact)
Hyper-E notation 	E1758 (exact) 	E1758 (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)(628) 	m(1)(629)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5827)\) 	\(f_2(5828)\)
Hardy hierarchy 	\(H_{\omega^2}(5827)\) 	\(H_{\omega^2}(5828)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3510}\) (exact) 	\(1\times10^{3510}\) (exact)
Arrow notation 	\(10\uparrow 3510\) (exact) 	\(10\uparrow 3510\) (exact)
Steinhaus-Moser Notation 	1147[3] 	1148[3]
Chained arrow notation 	\(10\rightarrow 3510\) (exact) 	\(10\rightarrow 3510\) (exact)
Taro's multivariable Ackermann function	A(3,11656) 	A(3,11657)
BEAF & Bird's array notation 	{10,3510} (exact) 	{10,3510} (exact)
Hyper-E notation 	E3510 (exact) 	E3510 (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)(1147) 	m(1)(1148)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11646)\) 	\(f_2(11647)\)
Hardy hierarchy 	\(H_{\omega^2}(11646)\) 	\(H_{\omega^2}(11647)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega}}(10)\) (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