what is the biggest number you can think of?
i will start

1

1+10^(-10^^10)

1+1=2
what did you expect? 3??

2+i^i

e^0.999999 ≈ 2.71827911018

e^1.000000 ≈ 2.71828182845

∞

Nevermind,10^^^^^^^^^^10
...
Wait, actually it is 10^^^...(10^^^...(10^100 ^'s)...^^^10 ^'s)...^^^10
...
Just kidding, I have gone too far, the number is: 2.75

2.75^(1+10^(-10))

or 2.7500000002781902507256528550000263489475809133897167796854

avg(e + π/e^π, 3)

or 2.927021178304671

π^(3/π) = 2.98361758518

avg(π^(3/π), 3) = 2.99180879259

e^(3/e) = 3.01511605964

pi-0.1 = 3.041593

(1^^^(9541^^log58(55456sqrt36)-100)^^(10^^^^^10621511/10^^^^10)+0.01)+2.2

phi*2 = 3.2360679775

e^(π/e)^(π/e) = 3.26112216204

Jeno47 says:

∞

Nevermind,10^^^^^^^^^^10
...
Wait, actually it is 10^^^...(10^^^...(10^100 ^'s)...^^^10 ^'s)...^^^10
...
Just kidding, I have gone too far, the number is: 2.75

infinity moment

lim(w->∞, lim(z->∞, lim(y->∞, lim(x->∞, (π/e)^^x)^^y)^^z)^^w)^^5 ~= 3.359616285266401

aka? lim(x->5*ω^4, (π/e)^^x)
aka? lim(x->5∞⁴, (π/e)^^x)

galaxyuser63274 says:

lim(w->∞, lim(z->∞, lim(y->∞, lim(x->∞, (π/e)^^x)^^y)^^z)^^w)^^5 ~= 3.359616285266401

aka? lim(x->5*ω^4, (π/e)^^x)
aka? lim(x->5∞⁴, (π/e)^^x)

i totally understand that

3.456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152513154155156157158159160161162163164165167168169

sqrt 13 ( around 3.6)

(9+10)^(π-e) = 21^(π-e) = 3.62835473775

pretend 9+10=21

φ^e = 3.69902532658

avg(φ^e, 3.7) = 3.69951266329

69420^(2/17) = 3.71181587302

4

pi^(109/90)~=4.000403

1.5^^10 = 5.91191487333

avg(1.5^^10, 6)=5.955957436665

1.79e308 x 2 = 1.79e608 / 2 = 1.79e309 (rounded) x 3 = 1.79e909

1.6^^10 = eee70.168033245

10^Googolplex=eee100

(0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1)^^(0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1)^(0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1) = 10^^10^1

10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^100

10^^(5+5)^^(2.5+2.5+2.5+2.5)^^(1.25+1.25+1.25+1.25+1.25+1.25+1.25+1.25) = 10^^^4

f_C(C(C(C(C(C(C(C(C(C(C(X,X),X),X),X),X),X),X),X),X),X)(10)