Emptoltessera is equal to 400[] using Ampersand Notation, or 400400.[1] The term was coined by Googology Wiki user CompactStar. It is equal to fz-(400).
Etymology[]
The name is derived from the number emptol and the Greek-based suffix tessera, signifying 4.
Decimal expansion[]
666801443287985427407985179072125779714475832231590816039625781176403723781763207152143220087155429074292991059343324044588880165411936508036335605233083004609515757951401455846307828591181402472896501613588660198169074803747646129116387737600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(400 \uparrow 400\) (exact) |
| Down-arrow notation | \(400 \downarrow 400\) (exact) |
| Bowers' Exploding Array Function | \(\lbrace 400,400 \rbrace\) (exact) |
| Bird's array notation | \(\lbrace 400,400 \rbrace\) (exact) |
| Hyper-E notation | \(6.6680144329E1040\) |
| Cascading-E notation | \(6.6680144329E1040\) |
| Scientific notation | \(6.6680144329 \times 10^{1040}\) |
| Steinhaus-Moser Notation | 400[3] (exact) |
| Fast-growing hierarchy | \(f_{2}(3445)\) |
| Hardy hierarchy | \(H_{\omega^2}(3445)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(400)\) (exact) |
Sources[]
- ↑ CompactStar. Ampersand Notation numbers. Retrieved Jul 24, 2022.
See also[]
Ampersand Notation numbers
Basic Ampersand Notation
Emptol group:
emptoltetarto · emptolmiso · emptol · emptoldyo · emptoltria · emptoltessera · emptolpente · emptolexi · emptoldeka · emptolpeninta · emptolekato · superior-emptoltetarto · superior-emptolmiso · superior-emptol · superior-emptoldyo · superior-emptoltria · superior-emptoltessera · superior-emptolpente · superior-emptolexi · superior-emptoldeka · superior-emptolpeninta · superior-emptolekato · bisuperior-emptol · bisuperior-emptoldyo · bisuperior-emptolpente · bisuperior-emptoldeka · bisuperior-emptolekato · trisuperior-emptol · quadrisuperior-emptol · quintisuperior-emptol · sextisuperior-emptol · septisuperior-emptol · octisuperior-emptol
Unol group:
unoltetarto · unolmiso · unol · unoldyo · unoltria · unoltessera · unolpente · unolexi · unoldeka · unolpeninta · unolekato · superior-unoltetarto · superior-unolmiso · superior-unol · superior-unoldyo · superior-unoltria · superior-unoltessera · superior-unolpente · superior-unolexi · superior-unoldeka · superior-unolpeninta · superior-unolekato · bisuperior-unol · bisuperior-unoldyo · bisuperior-unolpente · bisuperior-unoldeka · bisuperior-unolekato · trisuperior-unol · quadrisuperior-unol · quintisuperior-unol · sextisuperior-unol · septisuperior-unol · octisuperior-unol
Duol group: