27^(86!)

{{DISPLAYTITLE:\(27^{86!}\)}}
2786! is approximately equal to \(10^{3.4677786446 \times 10^{130}}\). This number is given in Robert Munafo's Notable Properties of Specific Numbers as an example of a calculation that can be performed easily using Hypercalc.Notable Properties of Specific Numbers (page 21) at MROB It is also the the number shown as default in the input line of HyperCalc Javascript.https://mrob.com/pub/comp/hypercalc/hypercalc-javascript.html
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(223\uparrow781\uparrow45\) 	\(544\uparrow20\uparrow100\)
Down-arrow notation 	\(19\downarrow\downarrow103\) 	\(673\downarrow\downarrow47\)
Steinhaus-Moser Notation 	69[3][3] 	70[3][3]
Copy notation 	3[3[131]] 	4[4[131]]
H* function 	H(11H(42)) 	H(12H(42))
Taro's multivariable Ackermann function	A(3,A(3,432)) 	A(3,A(3,433))
Pound-Star Notation 	#*((1))*(4,3,3,0,2,3)*7 	#*((1))*(5,3,3,0,2,3)*7
BEAF 	{223,{781,45}} 	{544,{20,100}}
Hyper-E notation 	E[19]102#2 	E[673]46#2
Bashicu matrix system 	(0)(1)[20] 	(0)(1)[21]
Hyperfactorial array notation 	(84!)! 	(85!)!
Fast-growing hierarchy 	\(f_2(f_2(426))\) 	\(f_2(f_2(427))\)
Hardy hierarchy 	\(H_{\omega^22}(426)\) 	\(H_{\omega^22}(427)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^2+\omega3}3}}(10)\)	\(g_{\omega^{\omega^{\omega^2+\omega3}4}}(10)\)
== Sources ==
Category:Numbers
Category:Class 3
Category:Powers of 3
Category:Unnamed numbers
Category:Upper class 3