Septentrigintaoctingentillion

A septentrigintaoctingentillion is equal to \(10^{2514}\) in the short scale and \(10^{5022}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 837th -illion number.
In the long scale, \(10^{2514}\) is called novendeciquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2514}\) (exact) 	\(1\times10^{2514}\) (exact)
Arrow notation 	\(10\uparrow 2514\) (exact) 	\(10\uparrow 2514\) (exact)
Steinhaus-Moser Notation 	857[3] 	858[3]
Chained arrow notation 	\(10\rightarrow 2514\) (exact) 	\(10\rightarrow 2514\) (exact)
Taro's multivariable Ackermann function	A(3,8348) 	A(3,8349)
BEAF & Bird's array notation 	{10,2514} (exact) 	{10,2514} (exact)
Hyper-E notation 	E2514 (exact) 	E2514 (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)(857) 	m(1)(858)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8338)\) 	\(f_2(8339)\)
Hardy hierarchy 	\(H_{\omega^2}(8338)\) 	\(H_{\omega^2}(8339)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5022}\) (exact) 	\(1\times10^{5022}\) (exact)
Arrow notation 	\(10\uparrow 5022\) (exact) 	\(10\uparrow 5022\) (exact)
Steinhaus-Moser Notation 	1571[3] 	1572[3]
Chained arrow notation 	\(10\rightarrow 5022\) (exact) 	\(10\rightarrow 5022\) (exact)
Taro's multivariable Ackermann function	A(3,16679) 	A(3,16680)
BEAF & Bird's array notation 	{10,5022} (exact) 	{10,5022} (exact)
Hyper-E notation 	E5022 (exact) 	E5022 (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)(1571) 	m(1)(1572)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16668)\) 	\(f_2(16669)\)
Hardy hierarchy 	\(H_{\omega^2}(16668)\) 	\(H_{\omega^2}(16669)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 2+2}}(10)\) (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