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14157192256 = 2610721392
BaseRepresentation
bin11010010111101010…
…11001110001000000
31100112122020212210221
431023311121301000
5212443220123011
610300445432424
71010554101664
oct151365316100
940478225727
1014157192256
116005403099
1228b126b714
13144805864c
149843148a4
1557cd33971
hex34bd59c40

14157192256 has 63 divisors (see below), whose sum is σ = 28563668679. Its totient is φ = 6961991808.

The previous prime is 14157192253. The next prime is 14157192281. The reversal of 14157192256 is 65229175141.

The square root of 14157192256 is 118984.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (151200) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (14157192253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101850235 + ... + 101850373.

Almost surely, 214157192256 is an apocalyptic number.

14157192256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14157192256 is the 118984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14157192256

14157192256 is an abundant number, since it is smaller than the sum of its proper divisors (14406476423).

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

14157192256 is an frugal number, since it uses more digits than its factorization.

14157192256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 248 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The spelling of 14157192256 in words is "fourteen billion, one hundred fifty-seven million, one hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 139 214 278 428 556 856 1112 1712 2224 3424 4448 6848 8896 11449 14873 19321 22898 29746 38642 45796 59492 77284 91592 118984 154568 183184 237968 309136 366368 475936 618272 732736 951872 1236544 1591411 2067347 3182822 4134694 6365644 8269388 12731288 16538776 25462576 33077552 50925152 66155104 101850304 132310208 221206129 442412258 884824516 1769649032 3539298064 7078596128 14157192256