Septenseptuagintaquingentillion

A septenseptuagintaquingentillion is equal to \(10^{1734}\) in the short scale and \(10^{3462}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 577th -illion number.
In the long scale, \(10^{1734}\) is called novemoctogintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1734}\) (exact) 	\(1\times10^{1734}\) (exact)
Arrow notation 	\(10\uparrow 1734\) (exact) 	\(10\uparrow 1734\) (exact)
Steinhaus-Moser Notation 	620[3] 	621[3]
Chained arrow notation 	\(10\rightarrow 1734\) (exact) 	\(10\rightarrow 1734\) (exact)
Taro's multivariable Ackermann function	A(3,5757) 	A(3,5758)
BEAF & Bird's array notation 	{10,1734} (exact) 	{10,1734} (exact)
Hyper-E notation 	E1734 (exact) 	E1734 (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)(620) 	m(1)(621)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5747)\) 	\(f_2(5748)\)
Hardy hierarchy 	\(H_{\omega^2}(5747)\) 	\(H_{\omega^2}(5748)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 3+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 3+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3462}\) (exact) 	\(1\times10^{3462}\) (exact)
Arrow notation 	\(10\uparrow 3462\) (exact) 	\(10\uparrow 3462\) (exact)
Steinhaus-Moser Notation 	1133[3] 	1134[3]
Chained arrow notation 	\(10\rightarrow 3462\) (exact) 	\(10\rightarrow 3462\) (exact)
Taro's multivariable Ackermann function	A(3,11497) 	A(3,11498)
BEAF & Bird's array notation 	{10,3462} (exact) 	{10,3462} (exact)
Hyper-E notation 	E3462 (exact) 	E3462 (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)(1133) 	m(1)(1134)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11487)\) 	\(f_2(11488)\)
Hardy hierarchy 	\(H_{\omega^2}(11487)\) 	\(H_{\omega^2}(11488)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 6+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers