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256381931441 is a prime number
BaseRepresentation
bin1110111011000110001…
…1011100111110110001
3220111202200211120020102
43232301203130332301
513200032233301231
6313440310322145
724344245313606
oct3566143347661
9814680746212
10256381931441
1199804a09859
1241831959355
131b23b310c9c
14c5a22406ad
156a08246acb
hex3bb18dcfb1

256381931441 has 2 divisors, whose sum is σ = 256381931442. Its totient is φ = 256381931440.

The previous prime is 256381931401. The next prime is 256381931551. The reversal of 256381931441 is 144139183652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256360955041 + 20976400 = 506321^2 + 4580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256381931441 is a prime.

It is not a weakly prime, because it can be changed into another prime (256381931401) 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 as a sum of consecutive naturals, namely, 128190965720 + 128190965721.

It is an arithmetic number, because the mean of its divisors is an integer number (128190965721).

Almost surely, 2256381931441 is an apocalyptic number.

It is an amenable number.

256381931441 is a deficient number, since it is larger than the sum of its proper divisors (1).

256381931441 is an equidigital number, since it uses as much as digits as its factorization.

256381931441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 622080, while the sum is 47.

The spelling of 256381931441 in words is "two hundred fifty-six billion, three hundred eighty-one million, nine hundred thirty-one thousand, four hundred forty-one".