Septendeciquingentillion

A septendeciquingentillion is equal to \(10^{1554}\) in the short scale and \(10^{3102}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 517th -illion number.
In the long scale, \(10^{1554}\) is called novenquinquagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1554}\) (exact) 	\(1\times10^{1554}\) (exact)
Arrow notation 	\(10\uparrow 1554\) (exact) 	\(10\uparrow 1554\) (exact)
Steinhaus-Moser Notation 	564[3] 	565[3]
Chained arrow notation 	\(10\rightarrow 1554\) (exact) 	\(10\rightarrow 1554\) (exact)
Taro's multivariable Ackermann function	A(3,5159) 	A(3,5160)
BEAF & Bird's array notation 	{10,1554} (exact) 	{10,1554} (exact)
Hyper-E notation 	E1554 (exact) 	E1554 (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)(564) 	m(1)(565)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5149)\) 	\(f_2(5150)\)
Hardy hierarchy 	\(H_{\omega^2}(5149)\) 	\(H_{\omega^2}(5150)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 5+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 5+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3102}\) (exact) 	\(1\times10^{3102}\) (exact)
Arrow notation 	\(10\uparrow 3102\) (exact) 	\(10\uparrow 3102\) (exact)
Steinhaus-Moser Notation 	1029[3] 	1030[3]
Chained arrow notation 	\(10\rightarrow 3102\) (exact) 	\(10\rightarrow 3102\) (exact)
Taro's multivariable Ackermann function	A(3,10301) 	A(3,10302)
BEAF & Bird's array notation 	{10,3102} (exact) 	{10,3102} (exact)
Hyper-E notation 	E3102 (exact) 	E3102 (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)(1029) 	m(1)(1030)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10291)\) 	\(f_2(10292)\)
Hardy hierarchy 	\(H_{\omega^2}(10291)\) 	\(H_{\omega^2}(10292)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+2}}(10)\) (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