The number of hexes in a regular hex map is given by
3n^2 + 3n + 1
where n is the number of hexes from the center hex to the outer edge (NOT counting the center hex itself).
Therefore, from the definitions file, the size of the various galaxies in hexes is:
Name Radius* Size
Tiny 30 2791
Small 40 4921
Medium 60 10981
Large 90 24571
Huge 130 51091
Gigantic 180 97741
Immense 240 173521
Excessive 290 253171
Insane 380 434341
* not including the center hex
I made this table so I could get an idea of how many factions I would want to play at various sizes.
For example, if I am happy with 8 major factions at Huge, then I would want something like 434/51 ~ 64 at insane, to
get the same number of hexes per faction. And so on. Feel free to check my calculations!