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442265465257 = 71156911298941
BaseRepresentation
bin1100110111110010001…
…00110111000110101001
31120021120020111110120221
412123321010313012221
524221224424342012
6535101323450041
743644515266540
oct6337104670651
91507506443527
10442265465257
11160622363a80
1271869986921
1332922b63995
14175975ad157
15b78722e507
hex66f91371a9

442265465257 has 32 divisors (see below), whose sum is σ = 552916051200. Its totient is φ = 343673625600.

The previous prime is 442265465227. The next prime is 442265465281. The reversal of 442265465257 is 752564562244.

It is a cyclic number.

It is not a de Polignac number, because 442265465257 - 27 = 442265465129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442265465227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49460407 + ... + 49469347.

It is an arithmetic number, because the mean of its divisors is an integer number (17278626600).

Almost surely, 2442265465257 is an apocalyptic number.

It is an amenable number.

442265465257 is a deficient number, since it is larger than the sum of its proper divisors (110650585943).

442265465257 is a wasteful number, since it uses less digits than its factorization.

442265465257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657.

The product of its digits is 16128000, while the sum is 52.

The spelling of 442265465257 in words is "four hundred forty-two billion, two hundred sixty-five million, four hundred sixty-five thousand, two hundred fifty-seven".

Divisors: 1 7 11 77 569 1129 3983 6259 7903 8941 12419 43813 62587 86933 98351 642401 688457 4496807 5087429 7066411 10094389 35612003 49464877 55961719 70660723 111038279 391732033 777267953 5743707341 40205951387 63180780751 442265465257