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256044324402 = 2344146183621
BaseRepresentation
bin1110111001110101101…
…1100101011000110010
3220110220011120100110000
43232131123211120302
513143334321340102
6313343010250430
724333005563536
oct3563533453062
9813804510400
10256044324402
1199651389679
1241758886a16
131b1b63a68c9
14c56d47bbc6
1569d87aa01c
hex3b9d6e5632

256044324402 has 80 divisors (see below), whose sum is σ = 589004267544. Its totient is φ = 83084832000.

The previous prime is 256044324383. The next prime is 256044324409. The reversal of 256044324402 is 204423440652.

256044324402 is a `hidden beast` number, since 2 + 5 + 604 + 4 + 3 + 2 + 4 + 40 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215659000881 + 40385323521 = 464391^2 + 200961^2 .

It is a super-2 number, since 2×2560443244022 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256044324409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3020152 + ... + 3103772.

Almost surely, 2256044324402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256044324402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294502133772).

256044324402 is an abundant number, since it is smaller than the sum of its proper divisors (332959943142).

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

256044324402 is a wasteful number, since it uses less digits than its factorization.

256044324402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84137 (or 84128 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 256044324402 in words is "two hundred fifty-six billion, forty-four million, three hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 461 738 922 1107 1383 2214 2766 3321 4149 6642 8298 12447 18901 24894 37341 37802 56703 74682 83621 113406 167242 170109 250863 340218 501726 510327 752589 1020654 1505178 1530981 2257767 3061962 3428461 4515534 6773301 6856922 10285383 13546602 20570766 30856149 38549281 61712298 77098562 92568447 115647843 185136894 231295686 277705341 346943529 555410682 693887058 1040830587 1580520521 2081661174 3122491761 3161041042 4741561563 6244983522 9483123126 14224684689 28449369378 42674054067 85348108134 128022162201 256044324402