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For Tiaokhiao's tetrecillion, see tredecillion.

The tetrecillion is equal to $$10^{3\left(10^{42}\right)+3}$$ or $$10^{3\text{ tredecillion }3}$$.[1] The term was coined by Jonathan Bowers.

### Etymology

The name of this number is based on the suffix "-illion" and the prefix "tetreco-".

### Approximations in other notations

Notation Lower bound Upper bound
Arrow notation $$1000\uparrow(1+10\uparrow42)$$
Down-arrow notation $$1000\downarrow\downarrow15$$ $$165\downarrow\downarrow20$$
Steinhaus-Moser Notation 28[3][3] 29[3][3]
Copy notation 2[2[43]] 3[3[43]]
H* function H(H(13))
Taro's multivariable Ackermann function A(3,A(3,139)) A(3,A(3,140))
Pound-Star Notation #*((1))*(4,4,0,5)*4 #*((1))*(8,3)*11
BEAF {1000,1+{10,42}}
Hyper-E notation E(3+3E42)
Bashicu matrix system (0)(1)[139] (0)(1)[140]
Hyperfactorial array notation (35!)! (36!)!
Fast-growing hierarchy $$f_2(f_2(135))$$ $$f_2(f_2(136))$$
Hardy hierarchy $$H_{\omega^22}(135)$$ $$H_{\omega^22}(136)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega4+2}3+3}}(10)$$

### Sources

1. Illion Numbers by Jonathan Bowers