FANDOM


The trenanillion is equal to 109,000,000,003 in short scale.[1] It is equal to 1018,000,000,000 in the long scale. It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.

ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{9000000003}\)
Arrow notation \(10\uparrow9000000003\)
Down-arrow notation \(42\downarrow\downarrow7\) \(248\downarrow\downarrow5\)
Steinhaus-Moser Notation 9[3][3] 10[3][3]
Copy notation 8[8[10]] 9[9[10]]
H* function H(3H(2))
Taro's multivariable Ackermann function A(3,A(3,31)) A(3,A(3,32))
Pound-Star Notation #*((1))*31075 #*((1))*31076
BEAF {10,9000000003}
Hyper-E notation E9000000003
Bashicu matrix system (0)(1)[31] (0)(1)[32]
Hyperfactorial array notation (12!)! (13!)!
Fast-growing hierarchy \(f_2(f_2(29))\) \(f_2(f_2(30))\)
Hardy hierarchy \(H_{\omega^22}(29)\) \(H_{\omega^22}(30)\)
Slow-growing hierarchy \(g_{\omega^{\omega^99+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{18000000000}\)
Arrow notation \(10\uparrow18000000000\)
Down-arrow notation \(98\downarrow\downarrow6\) \(47\downarrow\downarrow7\)
Steinhaus-Moser Notation 9[3][3] 10[3][3]
Copy notation 1[1[11]] 2[2[11]]
H* function H(5H(2)) H(6H(2))
Taro's multivariable Ackermann function A(3,A(3,32)) A(3,A(3,33))
Pound-Star Notation #*((1))*43283 #*((1))*43284
BEAF {10,18000000000}
Hyper-E notation E(18E9)
Bashicu matrix system (0)(1)[32] (0)(1)[33]
Hyperfactorial array notation (12!)! (13!)!
Fast-growing hierarchy \(f_2(f_2(30))\) \(f_2(f_2(31))\)
Hardy hierarchy \(H_{\omega^22}(30)\) \(H_{\omega^22}(31)\)
Slow-growing hierarchy \(g_{\omega^{\omega^\omega+\omega^98}}(10)\)

Sources Edit

  1. Jonathan Bowers' 4 Tiered -illion Series