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14137246460 = 22510313750093
BaseRepresentation
bin11010010101010010…
…10100001011111100
31100111020201112022202
431022221110023330
5212423113341320
610254454131032
71010222416661
oct151251241374
940436645282
1014137246460
115aa511a567
1228a6650a78
131443b93abc
14981801a68
1557b1e3b75
hex34aa542fc

14137246460 has 48 divisors (see below), whose sum is σ = 30195861696. Its totient is φ = 5559009792.

The previous prime is 14137246429. The next prime is 14137246463. The reversal of 14137246460 is 6464273141.

14137246460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137246463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 257174 + ... + 307266.

It is an arithmetic number, because the mean of its divisors is an integer number (629080452).

Almost surely, 214137246460 is an apocalyptic number.

14137246460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14137246460 is an abundant number, since it is smaller than the sum of its proper divisors (16058615236).

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

14137246460 is a wasteful number, since it uses less digits than its factorization.

14137246460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50342 (or 50340 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 14137246460 in words is "fourteen billion, one hundred thirty-seven million, two hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 103 137 206 274 412 515 548 685 1030 1370 2060 2740 14111 28222 50093 56444 70555 100186 141110 200372 250465 282220 500930 1001860 5159579 6862741 10319158 13725482 20638316 25797895 27450964 34313705 51595790 68627410 103191580 137254820 706862323 1413724646 2827449292 3534311615 7068623230 14137246460