my number is bigger!

The rules are simple:

• no infinity
• no uncomputable functions
• no directly referencing the previous number
  We'll start with 9 instead of 9,999.

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

f₉(9)

f₉(9)^^f₉(9) (i hope this isnt uncomputable)

f₉(f₉(9)^^f₉(9))

f₉(f₉(9)^^f₉(9)) uu f₉(f₉(9)^^f₉(9))

I'm using the Ultrex formula thingamajig. Check the Wiki page on the Googology page.

f_{ψ₀(Ω_Ω)}(9)

f_lim(BMS) + psi(W_w)_(9)

f_{lim(MMS)+Y(1,3)+ψ(Ω_Ω)}(9999)

f_lim(BMS) + psi(W__w)^^w+1(9) where W__w means the limit of bucholz function

Not even close. MMS means Mutant Matrix System.

I don't know what any of these mean so I guess I'll just combine the last 2 together
(f_lim(BMS) + psi(W__w)^^w+1(9))^^^(f_{lim(MMS)+Y(1,3)+ψ(Ω_Ω)}(9999))

d^5(99)
Loader's number

Okay. I might be doing a salad notation here, but I have an idea.
1: Define an array fx(x,x2,x3...).
2: Define f1(x,x2,x3...) to be equal to a power tower of each of its terms. Example: f1(1,2,3) -> 1^2^3
3: Now, define f(x,x2,x3...) to have its last 2 terms replaced with a subarray of itself minus its first digit and the main array's f-number subtracted by one if it's longer than 3 terms. Example: f2(1,2,3) -> f1(1,f2[2,3)),
4: Now if it's a 2-length array with an f number above one, then reduce its f number and increment each of its terms by one until the f number is one, also incrementing the f-number of the outer arrays.
Example: f5(1,2,3,4) -> f4(1,2,f5(2,3,4)) -> f4(1,2,f4(2,f5(3,4))) -> f9(1,2,f9(2,f1(7,8))) -> f9(1,2,f9(2,5764801)) -> f17(1,2,f1(11,5764809)) -> f17(1,2,f1(11,5764809)) -> f17(1,2,11^5764809)) -> f16(1,f17(2,11^5764809)) -> f32(1,f1(18,11^5764809)) -> f32(1,18^[11^5764809]) -> f1(33,18^[11^5764809]) -> roughly 22^18^11^5764809.
5: Now, recurse arrays like this. f[fx(x,x2,x3...)].(x,x2,x3...)., which ill shorten to f^2x(x,x2,x3...), and now, if you do that iteration x times, you call it f^wx(x,x2,x3...).
6: Now, that w is an ordinal, which can be swapped out for any ordinal you like.
What is f^[e_e_0]10(10,10,10,10,10,10...[ f^[e_e_0]10(10,10,10)times]...10,10,10). I'll call it Baileyboy's Number.

baileyboy number{baileyboy number} bailey boy number

weird numbers alert:
define a hierarchy where:
xAy=x^y.
xBy=xAy^(xy)
xCy=xBy^^xAy^(xy)
This goes on until
xZy=xYy{26}xXy{25}xWy…
now define
xAyAz=xAy{yAz}xAz
xAyBz=xAy{yBz}xBz^xAyAz
xAyCz=xAy{yCz}xCz^^xAyBx^xAyAx
Repeat until
xAyZz=xAy{yZz}xZz{26}xAyYz…
xByAz=xBy{yAz}xAz{27}xAyZz…
xZyZz=xZy{yZz}xZz{26^2}xZyYz…
aAbAcAd=(all possible ones exponentiated repeated so abc, abd, acd, bcd all combos like x^y so aAbAc^aAbAd, aAbAd^aAcAd… but the aAb is the aAb in the function and the bAc is like in the function…) and aAbAcBd would be that again ^aAbAcAd…
This was very complicated, so we can define all this hierarchy with the function:
alpha(a,b,c,d…)
Put alpha with every parameter equal to it’s position multiplied by sub pos multiplied by an extra parameter (so second slot B is 4a and third slot B is 6a…) and wrap that in a function.
beta(1a,2a…1b,2b…)
repeat process until omega.
Call this one
num(level,[parameters…])
Make level 2^1024 and parameters all 2.
Define the number as Hakan’s Number. I dare you to go bigger.

define
x[1]y = x{y}y
x[2]y = x{y[1]y}y
x[3]y = x{y[2]y}y
define another operator:
x[[1]]y = x[y[y]y]y
x[[2]]y = x[y[[1]]y]y
x[[[1]]]y = x[[y[[y]]y]]y
x[[[[1]]]] x[[[y[[[y]]]y]]]y
define a third operator:
x[1, 4]y = x[[[[1]]]]y
x[2, 10]y = x[[[[[[[[[[2]]]]]]]]]]y
x[3, 10[[1]]100]y = x[[[[[[[[[[ ... [[[3]]] ... ]]]]]]]]]]y
x[[1, 3]]y = x[1, 3[3, 3]3]y
x[[[1, 3]]]y = x[1, 3[[3, 3]]3]y
and define a function
a(w, x, y, 3) = w[[[y, y]]]x (3 is the number of brackets)
b(w, x, y, 4, 3) = a(w, w, w, x[[[[a(w, w, w, x[[[[a(w, w, w, x[[[[y]]]]y)]]]]y)]]]]y) (4 is the number of brackets and 3 represents the number of a's)
and so on until z...
aa(w, x, y, 4, 3) = z(w, w, w, x[[[[z(w, w, w, x[[[[z(w, w, w, x[[[[y]]]]y, y)]]]]y, y)]]]]y, y)
ab(w, x, y, 4, 3) = aa(w, w, w, x[[[[aa(w, w, w, x[[[[aa(w, w, w, x[[[[y]]]]y, y)]]]]y, y)]]]]y, y)
ba(w, x, y, 4, 3) = az(w, w, w, x[[[[az(w, w, w, x[[[[az(w, w, w, x[[[[y]]]]y, y)]]]]y, y)]]]]y, y)
aaa(w, x, y, 4, 3) = zz(w, w, w, x[[[[zz(w, w, w, x[[[[zz(w, w, w, x[[[[y]]]]y, y)]]]]y, y)]]]]y, y)
Define a number T as methionylthreonylthreonylglutaminylarginyl...isoluecine(69, 69, 69, 69, 69). This uses the full version of the 189,819-letter word for a protein, titin.
Now, the number of this post is zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz...(repeating T times)...zzzzzzzzzzzzzzzzzz(69420, 69420, 69420, 69420, 69420).|
This number is defined as Numbas' Number.

num(Numbas’ Number,[1,2,3,4,5,6,7,8,9,10…])

Let A = zzzzzzzzzzzzzzzzzzzzzzzzzzzz ... (repeating sphenopalatineganglioneuralgia(T, T, T, T, T) times) ... zzzzzzzzzzzzzzzzzzz(69420, 69420, 69420, 69420, 69420)

B = zzzzzzzzzz ... (repeating A times) ... zzzzzzzzzzz(69420, 69420, 69420, 69420, 69420)

repeat this until the letter S

Define a&(c)b as aaaaaaaaaaaa ... (repeating c times) ... aaaaaaaaaaa(b, b, b, b, b) where a is a letter and b and c are numbers

Let U = z&(S)S

V = z&(U)U

repeat this until the letter Z

The number of this post is Z! (Z factorial)

Extended Hakan’s Number:
Take Hakan’s Number.
Recursively input it into num(), with the parameters all Hakan’s Number, Hakan’s Number times.
Make this recursive behaviour the function rec(n), where n can replace Hakan’s Number.
Define ANOTHER hierarchy where:
Big A = rec Hakan’s Number
Big B = rec Big A
…
Big Z = rec Big Y
Big a = rec Big Z
…
big 0 = rec Big z
…
big 9 = rec Big 8
big AA = rec Big 9
big AB = rec Big AA
repeat until
big THREEPOINT1FOUR1FIVE9TWO6… = Big Pie
Recursively apply rec into itself n times with the parameter n.
call it rec2(n)
rec2 n = rec(rec(rec… n times… rec(n)))))…))
rec3 n = rec2(rec2…(n)))
recO n = recO-1(recO-1…(n)))
make it a function again
rrec n, o where o is O and n is n
now apply it again…
rrec2=rrec(rrec(rrec…
rrec3=rrec2(rrec2…
rrrec n, o where o is O and n is n
repeat
recur(n, o, p) where n is n o is O and p is no. of r’s
do recur(Hakan’s Number, Hakan’s Number, Hakan’s Number)
Call it:
extended hakan’s number

2^136,279,841!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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(! is a factorial)

Double Extension Hakan’s Number:
Take Extended Hakan’s Number (call to ehn)
Add a new function called:
!(a) where !(a)=recur(ehn, ehn, recur(ehn, ehn, recur… a times.
Make 2!(a) = recur(!(a), !(a), recur(… a times.
This repeats until [EHN]!(a).
Call it a!(b) where it equals recur(EHN!(a), EHN!(a), ( you get the idea by now..

Now redo ALL the ! numbers but with an a in the front.
Then after a[EHN]!(a), make it b!(a) with the same principle as a!(a) but with a[EHN]!(a) instead.

Continue to zzz… (EHN TIMES)…zzz[EHN]!(a), now turning into:
A!(a). Then it goes to Aa!(a). Repeat until Zz!(a) where it turns into AA!(a)
Repeat until [insert ehn in words all caps] [EHN](a).
Call it: !!(a).
Repeat LITERALLY EVERYTHING AGAIN BUT WITH !! WHICH DOES IT TO [insert EHN in words all caps] [EHN]!(a)
Then… !3(a). Abbreviation for !(a). REPEAT UNTIL [insert EHN in words all caps] EHN!EHN(a). Finally, call it:
?(a). REPEAT AGAIN WITH ALL UK PUNCTUATION UNITS UNTIL…
[insert ehn in words all caps] [EHN]>[EHN](a).
Finally, make it called: !^2(a). Repeat FRIGGIN AGAIN UNTIL !^3(a). (After everything gets squared make it cubed!) AND AGAIN ALL THE WAY UP TO !^([insert ehn in words all caps] [EHN]>[EHN]([EHN]))
Call the result: DOUBLE EXTENSION HAKAN’S NUMBER