The binary-goohfolplex is equal to 2250 ~ 103.389*1014.[1] The term was coined by Wikia user Username5243. It is 338,929,644,074,912 digits long.
Ruble calls it Tooerhexerfreerforerlong as it's the two hex three fourth (forty-fourth in decimal) -long.[2]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(8\times10^{338929644074911}\) | \(9\times10^{338929644074911}\) |
| Arrow notation | \(2\uparrow2\uparrow50\) | |
| Down-arrow notation | \(2\downarrow\downarrow51\) | |
| Steinhaus-Moser Notation | 12[3][3] | 13[3][3] |
| Copy notation | 3[3[15]] | 4[4[15]] |
| H* function | H(112H(3)) | H(113H(3)) |
| Taro's multivariable Ackermann function | A(3,A(3,47)) | A(3,A(3,48)) |
| Pound-Star Notation | #*((1))*(33)*4 | #*((1))*(16)*5 |
| BEAF | {2,{2,50}} | |
| Hyper-E notation | E[2]50#2 | |
| Bashicu matrix system | (0)(1)[6] | (0)(1)[7] |
| Hyperfactorial array notation | (16!)! | (17!)! |
| Fast-growing hierarchy | \(f_2(f_2(44))\) | \(f_2(f_2(45))\) |
| Hardy hierarchy | \(H_{\omega^22}(44)\) | \(H_{\omega^22}(45)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{12}}}(16)\) | |
Sources[]
- ↑ Part 1 - My Large Numbers
- ↑ List of the -long suffix numbers. retrieved November 8, 2025
Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = \(a \uparrow^c b\) in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.
1-15: Long · Overlong · Tooerlong · Freerlong · Forerlong · Foreroverlong · Forertooerlong · Forerfreerlong · Tooerforerlong · Tooerforeroverlong · Tooerforertooerlong · Tooerforerfreerlong · Freerforerlong · Freerforeroverlong · Freerforertooerlong · Freerforerfreerlong
16-31: Hexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
32-47: Tooerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
48-63: Freerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
64-79: Forerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
80-95: Foreroverhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
96-111: Forertooerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
112-127: Forerfreerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
128-143: Tooerforerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
144-159: Tooerforeroverhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
160-175: Tooerforertooerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
176-191: Tooerforerfreerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
192-207: Freerforerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
208-223: Freerforeroverhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
224-239: Freerforertooerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
240-255: Freerforerfreerhexer- ( -over- · -tooer- · -freer- · -forer- · -forerover- · -forertooer- · -forerfreer- · -tooerforer- · -tooerforerover- · -tooerforertooer- · -tooerforerfreer- · -freerforer- · -freerforerover- · -freerforertooer- · -freerforerfreer- ) long
256-264:Byterlong, Interlong, Shorterlong, Titlongertotlong