there is literally a maximum amount of xp possible. it is achieved with having 8 lvl 10s touching your city and 2 2 miles away. hitting these non-stop every hour for 20 hours a day, accounting for 4 hours of sleep, would net you about 2.85b xp a week. you can not go faster than this without paying, while using only level 10s.
of course theres the troop costs, hitting with just scouts and archers would cost about 7.7m archers a week and about 3.5m scouts. It is definately doable if you've got other means of supporting your resource pile

but with legit playing it would be quite hard.
so in theory a person could get to 45b xp in 15 weeks minimum.
as a side note, ive been gettin my hero about 7-8 levels a day for the last few days, he started at about 420 hes just now at 466. ranging from around 18m xp/lvl to 21m.
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