factorials = {
    0: 1,
    1:1,
    2:2,
    3:6,
    4:24,
    5:120,
    6:720,
    7:5040,
    8:40320,
    9:362880
    }
 
def find_limit():
    limit = '9'
    while factorials[9] * len(limit) > int(limit):
        limit += '9'
    return int(limit)
 
def is_sum_of_factorial_digits(n):
    sum_d = 0
    for digit in str(n):
        sum_d += factorials[int(digit)]
        if sum_d > n:
            return False
    if sum_d == n:
        return True
    return False
 
if __name__ == '__main__':
    limit = find_limit()
    result = sum(i for i in range(10, limit + 1) if is_sum_of_factorial_digits(i))
    print("The result is:", result)