Python digit counter

digits.py

#This will count the digits of a number.
#I tried to use mathematics instead of string length.
#I belive it *has* to do it faster, because it will
#only run k times instead of n, where k=length.
#Without having checked how str() works I expect
#they use more loops, thus more computational time.
#Disclaimer: it works with integers at the moment.
#Will have to make it better in the future.


def digits(n):
    if not n/10:
        return 1
    return 1 + digits(n/10)


if __name__ == '__main__':
    print digits(12344342342) #11 digits
    print digits(1234567890) #10 digit_sum
    print digits(123)
    print digits(1234567) #7
    print digits(19.2) #will count the .2 as well