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14257760256 = 21132773533
BaseRepresentation
bin11010100011101010…
…00010100000000000
31100210122111021011200
431101311002200000
5213144441312011
610314441141200
71013214651105
oct152165024000
940718437150
1014257760256
116057152343
12291aa8a800
131462b3a83c
14993812aac
15586a9b856
hex351d42800

14257760256 has 72 divisors (see below), whose sum is σ = 41179082490. Its totient is φ = 4752580608.

The previous prime is 14257760207. The next prime is 14257760287. The reversal of 14257760256 is 65206775241.

14257760256 is a `hidden beast` number, since 14 + 2 + 577 + 60 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11252966400 + 3004793856 = 106080^2 + 54816^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368335 + ... + 405198.

Almost surely, 214257760256 is an apocalyptic number.

14257760256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14257760256 is an abundant number, since it is smaller than the sum of its proper divisors (26921322234).

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

14257760256 is an equidigital number, since it uses as much as digits as its factorization.

14257760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773561 (or 773538 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 14257760256 in words is "fourteen billion, two hundred fifty-seven million, seven hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 773533 1547066 2320599 3094132 4641198 6188264 6961797 9282396 12376528 13923594 18564792 24753056 27847188 37129584 49506112 55694376 74259168 99012224 111388752 148518336 198024448 222777504 297036672 396048896 445555008 594073344 792097792 891110016 1188146688 1584195584 1782220032 2376293376 3564440064 4752586752 7128880128 14257760256