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257246440242 = 23114199302323
BaseRepresentation
bin1110111110010100010…
…1010010101100110010
3220120222221120011100220
43233211011102230302
513203320042041432
6314102151553510
724404543443461
oct3574505225462
9816887504326
10257246440242
119a108a00040
1241a3338b896
131b34845c15c
14c644d9c9d8
156a590b272c
hex3be5152b32

257246440242 has 32 divisors (see below), whose sum is σ = 562604555520. Its totient is φ = 77767411920.

The previous prime is 257246440237. The next prime is 257246440271. The reversal of 257246440242 is 242044642752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257246440194 and 257246440203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623508 + ... + 4678815.

It is an arithmetic number, because the mean of its divisors is an integer number (17581392360).

Almost surely, 2257246440242 is an apocalyptic number.

257246440242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257246440242 is an abundant number, since it is smaller than the sum of its proper divisors (305358115278).

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

257246440242 is a wasteful number, since it uses less digits than its factorization.

257246440242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302758.

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 257246440242 in words is "two hundred fifty-seven billion, two hundred forty-six million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 419 838 1257 2514 4609 9218 13827 27654 9302323 18604646 27906969 55813938 102325553 204651106 306976659 613953318 3897673337 7795346674 11693020011 23386040022 42874406707 85748813414 128623220121 257246440242