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256044071346 = 23771281305563
BaseRepresentation
bin1110111001110101101…
…0100111100110110010
3220110220011002111022120
43232131122213212302
513143334240240341
6313343001015110
724333003461010
oct3563532474662
9813804074276
10256044071346
1199651226538
1241758784496
131b1b631867b
14c56d4138b0
1569d875a066
hex3b9d6a79b2

256044071346 has 64 divisors (see below), whose sum is σ = 595600459776. Its totient is φ = 71868182400.

The previous prime is 256044071333. The next prime is 256044071359. The reversal of 256044071346 is 643170440652.

It is a happy number.

256044071346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256044071333) and next prime (256044071359).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 256044071298 and 256044071307.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 685161 + ... + 990723.

It is an arithmetic number, because the mean of its divisors is an integer number (9306257184).

Almost surely, 2256044071346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256044071346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297800229888).

256044071346 is an abundant number, since it is smaller than the sum of its proper divisors (339556388430).

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

256044071346 is a wasteful number, since it uses less digits than its factorization.

256044071346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305927.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 256044071346 in words is "two hundred fifty-six billion, forty-four million, seventy-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 281 426 497 562 843 994 1491 1686 1967 2982 3934 5901 11802 19951 39902 59853 119706 139657 279314 305563 418971 611126 837942 916689 1833378 2138941 4277882 6416823 12833646 21694973 43389946 65084919 85863203 130169838 151864811 171726406 257589609 303729622 455594433 515179218 601042421 911188866 1202084842 1803127263 3606254526 6096287413 12192574826 18288862239 36577724478 42674011891 85348023782 128022035673 256044071346