Tremyritrimilliduotrigintatrecentillion is equal to \(10^{99,999}\) in short scale.[1] This number is also equal to \(10^{10^{5}-1}\).
In Conway-Wechsler system,[2] \(10^{99999}\) is expressed as N-th zillion with N=33332 because \(10^{99999} = 10 \cdot 10^{3N+3}\), and therefore by using Fish's program,[3] short-scale name of \(10^{99999}\) for Conway-Wechsler system is determined as trestrigintilliduotrigintatrecentillion.
Tremyritrimilliduotrigintatrecentillion is also known as "tretriginmilliatrecenduotrigintillion" according to Landon Curt Noll's The English name of a number.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{99\,999}\) | |
Arrow notation | \(10\uparrow 99\,999\) | |
Steinhaus-Moser Notation | 5[3][3] | 6[3][3] |
Copy notation | 9[9[5]] | 1[1[6]] |
Taro's multivariable Ackermann function | A(3,332186) | A(3,332187) |
Pound-Star Notation | #*((4))*147 | #*((5))*147 |
BEAF | {10,99999} | |
Hyper-E notation | E99,999 | |
Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
Hyperfactorial array notation | (7!)! | (8!)! |
Fast-growing hierarchy | \(f_2(f_2(14))\) | \(f_2(f_2(15))\) |
Hardy hierarchy | \(H_{\omega^22}(14)\) | \(H_{\omega^22}(15)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^49+\omega^39+\omega^29+\omega9+9}}(10)\) |
Sources[]
- ↑ Numbers that I discovered - Unknown95387's Large Numbers (Archived from the original on February 3, 2018)
- ↑ Conway and Guy (1995) "The book of Numbers" Copernicus. pp.14-15.
- ↑ Fish Conway's zillion numbers 2021-12-25