Septentrigintaquingentillion

A septentrigintaquingentillion is equal to \(10^{1614}\) in the short scale and \(10^{3222}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 537th -illion number.
In the long scale, \(10^{1614}\) is called novensexagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1614}\) (exact) 	\(1\times10^{1614}\) (exact)
Arrow notation 	\(10\uparrow 1614\) (exact) 	\(10\uparrow 1614\) (exact)
Steinhaus-Moser Notation 	583[3] 	584[3]
Chained arrow notation 	\(10\rightarrow 1614\) (exact) 	\(10\rightarrow 1614\) (exact)
Taro's multivariable Ackermann function	A(3,5358) 	A(3,5359)
BEAF & Bird's array notation 	{10,1614} (exact) 	{10,1614} (exact)
Hyper-E notation 	E1614 (exact) 	E1614 (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)(583) 	m(1)(584)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5349)\) 	\(f_2(5350)\)
Hardy hierarchy 	\(H_{\omega^2}(5349)\) 	\(H_{\omega^2}(5350)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3222}\) (exact) 	\(1\times10^{3222}\) (exact)
Arrow notation 	\(10\uparrow 3222\) (exact) 	\(10\uparrow 3222\) (exact)
Steinhaus-Moser Notation 	1064[3] 	1065[3]
Chained arrow notation 	\(10\rightarrow 3222\) (exact) 	\(10\rightarrow 3222\) (exact)
Taro's multivariable Ackermann function	A(3,10700) 	A(3,10701)
BEAF & Bird's array notation 	{10,3222} (exact) 	{10,3222} (exact)
Hyper-E notation 	E3222 (exact) 	E3222 (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)(1064) 	m(1)(1065)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10689)\) 	\(f_2(10690)\)
Hardy hierarchy 	\(H_{\omega^2}(10689)\) 	\(H_{\omega^2}(10690)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 2+2}}(10)\) (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