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256052150144 = 277285772489
BaseRepresentation
bin1110111001110111100…
…1011011111110000000
3220110220201021221100022
43232131321123332000
513143343322301034
6313343450113012
724333132236240
oct3563571337600
9813821257308
10256052150144
119965584422a
124175b41b768
131b1b7bb691b
14c570517b20
1569d9303b2e
hex3b9de5bf80

256052150144 has 32 divisors (see below), whose sum is σ = 582975879600. Its totient is φ = 109736635392.

The previous prime is 256052150131. The next prime is 256052150147. The reversal of 256052150144 is 441051250652.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256052150147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142885349 + ... + 142887140.

Almost surely, 2256052150144 is an apocalyptic number.

It is an amenable number.

256052150144 is an abundant number, since it is smaller than the sum of its proper divisors (326923729456).

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

256052150144 is an equidigital number, since it uses as much as digits as its factorization.

256052150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285772510 (or 285772498 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 256052150144 in words is "two hundred fifty-six billion, fifty-two million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 285772489 571544978 1143089956 2000407423 2286179912 4000814846 4572359824 8001629692 9144719648 16003259384 18289439296 32006518768 36578878592 64013037536 128026075072 256052150144