Quinquadragintasescentillion

A quinquadragintasescentillion is equal to \(10^{1938}\) in the short scale and \(10^{3870}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 645th -illion number.
In the long scale, \(10^{1938}\) is called tresvigintitrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1938}\) (exact) 	\(1\times10^{1938}\) (exact)
Arrow notation 	\(10\uparrow 1938\) (exact) 	\(10\uparrow 1938\) (exact)
Steinhaus-Moser Notation 	683[3] 	684[3]
Chained arrow notation 	\(10\rightarrow 1938\) (exact) 	\(10\rightarrow 1938\) (exact)
Taro's multivariable Ackermann function	A(3,6434) 	A(3,6435)
BEAF & Bird's array notation 	{10,1938} (exact) 	{10,1938} (exact)
Hyper-E notation 	E1938 (exact) 	E1938 (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)(683) 	m(1)(684)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6425)\) 	\(f_2(6426)\)
Hardy hierarchy 	\(H_{\omega^2}(6425)\) 	\(H_{\omega^2}(6426)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3870}\) (exact) 	\(1\times10^{3870}\) (exact)
Arrow notation 	\(10\uparrow 3870\) (exact) 	\(10\uparrow 3870\) (exact)
Steinhaus-Moser Notation 	1249[3] 	1250[3]
Chained arrow notation 	\(10\rightarrow 3870\) (exact) 	\(10\rightarrow 3870\) (exact)
Taro's multivariable Ackermann function	A(3,12852) 	A(3,12853)
BEAF & Bird's array notation 	{10,3870} (exact) 	{10,3870} (exact)
Hyper-E notation 	E3870 (exact) 	E3870 (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)(1249) 	m(1)(1250)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12842)\) 	\(f_2(12843)\)
Hardy hierarchy 	\(H_{\omega^2}(12842)\) 	\(H_{\omega^2}(12843)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 7}}(10)\) (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