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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