These are pretty pansy little numbers; sure they're kind of long, but they're computable. We know digits of this number.

If you want truly large numbers, you want to use the Busy beaver function. These are numbers for which we can say beautiful, absolute things like:

in the context of ordinary mathematics, neither the value nor any upper-bound of Σ(10↑↑10) can be proven


That is a majestic bloody number.