Septuagintasescentillion

A septuagintasescentillion is equal to \(10^{2013}\) in the short scale and \(10^{4020}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 670th -illion number.
In the long scale, \(10^{2013}\) is called quintrigintatrecentilliard.
Sbiis Saibian calls this number septuagintisescentillion.Saibian, Sbiis. 2-4-8: Bowers' -illions - Large Numbers
== Decimal expansion ==
Written out in decimal form septuagintisescentillion (in the short scale) is:
In long scale:
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2013}\) (exact) 	\(1\times10^{2013}\) (exact)
Arrow notation 	\(10\uparrow 2013\) (exact) 	\(10\uparrow 2013\) (exact)
Steinhaus-Moser Notation 	706[3] 	707[3]
Chained arrow notation 	\(10\rightarrow 2013\) (exact) 	\(10\rightarrow 2013\) (exact)
Taro's multivariable Ackermann function	A(3,6684) 	A(3,6685)
BEAF & Bird's array notation 	{10,2013} (exact) 	{10,2013} (exact)
Hyper-E notation 	E2013 (exact) 	E2013 (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)(706) 	m(1)(707)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[2013] 	10[1007]
Pound-Star Notation 	#*((5348))*25 	#*((5349))*25
Hyperfactorial array notation 	812! 	813!
Fast-growing hierarchy 	\(f_2(6674)\) 	\(f_2(6675)\)
Hardy hierarchy 	\(H_{\omega^2}(6674)\) 	\(H_{\omega^2}(6675)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4020}\) (exact) 	\(1\times10^{4020}\) (exact)
Arrow notation 	\(10\uparrow 4020\) (exact) 	\(10\uparrow 4020\) (exact)
Steinhaus-Moser Notation 	1292[3] 	1293[3]
Chained arrow notation 	\(10\rightarrow 4020\) (exact) 	\(10\rightarrow 4020\) (exact)
Taro's multivariable Ackermann function	A(3,13351) 	A(3,13352)
BEAF & Bird's array notation 	{10,4020} (exact) 	{10,4020} (exact)
Hyper-E notation 	E4020 (exact) 	E4020 (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)(1292) 	m(1)(1293)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[4020] 	1[4021]
Pound-Star Notation 	#*((1))*35 	#*((2))*35
Hyperfactorial array notation 	1,470! 	1,471!
Fast-growing hierarchy 	\(f_2(13340)\) 	\(f_2(13341)\)
Hardy hierarchy 	\(H_{\omega^2}(13340)\) 	\(H_{\omega^2}(13341)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega 2}}(10)\) (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
Category:Numbers by Sbiis Saibian