from functools import reduce
import operator

prod = lambda *l : reduce(operator.mul,l,1)

# number of track+offset possibilities in the database
# for a 30 second clip:
Nc = 114_821_334

print(prod(
    Nc,
    (30.0 / 0.123), # 30 sec clip, .123 frames/sec => frames checked
    32,             # 32 bits per frame => bits checked
    (0.5),          # this takes 2 sec. so div by 2.
    (1/1e9),        # convert to billions
))
#=> ~448