Septemvigintiducentillion

A septemvigintiducentillion is equal to \(10^{684}\) in the short scale and \(10^{1362}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 227th -illion number.
In the long scale, \(10^{684}\) is called quattuordecicentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{684}\) (exact) 	\(1\times10^{684}\) (exact)
Arrow notation 	\(10\uparrow 684\) (exact) 	\(10\uparrow 684\) (exact)
Steinhaus-Moser Notation 	279[3] 	280[3]
Chained arrow notation 	\(10\rightarrow 684\) (exact) 	\(10\rightarrow 684\) (exact)
Taro's multivariable Ackermann function	A(3,2269) 	A(3,2270)
BEAF & Bird's array notation 	{10,684} (exact) 	{10,684} (exact)
Hyper-E notation 	E684 (exact) 	E684 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(279) 	m(1)(280)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[21] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[22]
Fast-growing hierarchy 	\(f_2(2261)\) 	\(f_2(2262)\)
Hardy hierarchy 	\(H_{\omega^2}(2261)\) 	\(H_{\omega^2}(2262)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 8+4}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 8+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1362}\) (exact) 	\(1\times10^{1362}\) (exact)
Arrow notation 	\(10\uparrow 1362\) (exact) 	\(10\uparrow 1362\) (exact)
Steinhaus-Moser Notation 	503[3] 	504[3]
Chained arrow notation 	\(10\rightarrow 1362\) (exact) 	\(10\rightarrow 1362\) (exact)
Taro's multivariable Ackermann function	A(3,4521) 	A(3,4522)
BEAF & Bird's array notation 	{10,1362} (exact) 	{10,1362} (exact)
Hyper-E notation 	E1362 (exact) 	E1362 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(503) 	m(1)(504)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4512)\) 	\(f_2(4513)\)
Hardy hierarchy 	\(H_{\omega^2}(4512)\) 	\(H_{\omega^2}(4513)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 6+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers