Future ideas:
OmegaNum (10{1000}10 or J1000)
ExpantaNum (10{{1}}9e15, K9e15 or f(ω+1))
OmegaExpantaNum (f(ω*2))
MegotaNum ({10, 9e15, 1, 1, 2}, N9e15 or f(ω^2))
PowianaNum ({10, 9e15, 1, 1, 1, 2}, P9e15 or f(ω^3))
GodgahNum ({10, 9e15 [2] 2}, R9e15 or f(ω^ω))
PowianaGodgah ({10, 10 [2] 9e15}, U9e15 or f(ω^(ω+1)))
Note: It takes many time to make this in comment pinned.