Quinseptuagintaquingentillion

A quinseptuagintaquingentillion is equal to \(10^{1728}\) in the short scale and \(10^{3450}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 575th -illion number.
In the long scale, \(10^{1728}\) is called octooctogintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1728}\) (exact) 	\(1\times10^{1728}\) (exact)
Arrow notation 	\(10\uparrow 1728\) (exact) 	\(10\uparrow 1728\) (exact)
Steinhaus-Moser Notation 	618[3] 	619[3]
Chained arrow notation 	\(10\rightarrow 1728\) (exact) 	\(10\rightarrow 1728\) (exact)
Taro's multivariable Ackermann function	A(3,5737) 	A(3,5738)
BEAF & Bird's array notation 	{10,1728} (exact) 	{10,1728} (exact)
Hyper-E notation 	E1728 (exact) 	E1728 (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)(618) 	m(1)(619)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5727)\) 	\(f_2(5728)\)
Hardy hierarchy 	\(H_{\omega^2}(5727)\) 	\(H_{\omega^2}(5728)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3450}\) (exact) 	\(1\times10^{3450}\) (exact)
Arrow notation 	\(10\uparrow 3450\) (exact) 	\(10\uparrow 3450\) (exact)
Steinhaus-Moser Notation 	1130[3] 	1131[3]
Chained arrow notation 	\(10\rightarrow 3450\) (exact) 	\(10\rightarrow 3450\) (exact)
Taro's multivariable Ackermann function	A(3,11457) 	A(3,11458)
BEAF & Bird's array notation 	{10,3450} (exact) 	{10,3450} (exact)
Hyper-E notation 	E3450 (exact) 	E3450 (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)(1130) 	m(1)(1131)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11447)\) 	\(f_2(11448)\)
Hardy hierarchy 	\(H_{\omega^2}(11447)\) 	\(H_{\omega^2}(11448)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 5}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 5}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers