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14429314625 = 531115169497
BaseRepresentation
bin11010111000000110…
…11101111001000001
31101020121022010112012
431130003131321001
5214022401032000
610343450142305
71020400102445
oct153403357101
941217263465
1014429314625
116134a76710
122968421995
13148c5454bb
149ac50c825
15596b87735
hex35c0dde41

14429314625 has 32 divisors (see below), whose sum is σ = 19775238912. Its totient is φ = 10424400000.

The previous prime is 14429314583. The next prime is 14429314663. The reversal of 14429314625 is 52641392441.

14429314625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14429314625 - 28 = 14429314369 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172877 + ... + 242373.

It is an arithmetic number, because the mean of its divisors is an integer number (617976216).

Almost surely, 214429314625 is an apocalyptic number.

It is an amenable number.

14429314625 is a deficient number, since it is larger than the sum of its proper divisors (5345924287).

14429314625 is a wasteful number, since it uses less digits than its factorization.

14429314625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69674 (or 69664 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The spelling of 14429314625 in words is "fourteen billion, four hundred twenty-nine million, three hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 125 151 275 755 1375 1661 3775 8305 18875 41525 69497 207625 347485 764467 1737425 3822335 8687125 10494047 19111675 52470235 95558375 115434517 262351175 577172585 1311755875 2885862925 14429314625