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14002515424 = 2519226710159
BaseRepresentation
bin11010000101001110…
…10110110111100000
31100010212012111002101
431002213112313200
5212134120443144
610233242300144
71003665263062
oct150247266740
940125174071
1014002515424
115a360670a7
1228694b7654
131421cacab1
1496b96d732
1556e47d6d4
hex3429d6de0

14002515424 has 48 divisors (see below), whose sum is σ = 29034028800. Its totient is φ = 6629192064.

The previous prime is 14002515377. The next prime is 14002515433. The reversal of 14002515424 is 42451520041.

14002515424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×140025154243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14002515392 and 14002515401.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1373257 + ... + 1383415.

It is an arithmetic number, because the mean of its divisors is an integer number (604875600).

Almost surely, 214002515424 is an apocalyptic number.

It is an amenable number.

14002515424 is an abundant number, since it is smaller than the sum of its proper divisors (15031513376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14002515424 is a wasteful number, since it uses less digits than its factorization.

14002515424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 14002515424 in words is "fourteen billion, two million, five hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 2267 4534 9068 10159 18136 20318 36272 40636 43073 72544 81272 86146 162544 172292 193021 325088 344584 386042 689168 772084 1378336 1544168 3088336 6176672 23030453 46060906 92121812 184243624 368487248 437578607 736974496 875157214 1750314428 3500628856 7001257712 14002515424