Surely a "grand" arcade would be 1023 floors? You know your engineering is getting good when its exponential increase outstrips that of the size of your standard integers. (For reference, a car park 4294967295 floors high would reach something like 1/3 of the way to the orbit of mars. Of course, you might introduce some kind of fractal squeezing to fit an endless carpark in a finite height, but then some buggers going to come along and Hilbert you up :))