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242602256325 = 352112135213947
BaseRepresentation
bin1110000111110000111…
…0001010011111000101
3212012012100221112120210
43201330032022133011
512433322134200300
6303241104150033
723345624103642
oct3417416123705
9765170845523
10242602256325
1193983715a00
123b027008319
1319b53554680
14ba5611adc9
15649d635050
hex387c38a7c5

242602256325 has 144 divisors (see below), whose sum is σ = 475826920128. Its totient is φ = 108341376000.

The previous prime is 242602256263. The next prime is 242602256329. The reversal of 242602256325 is 523652206242.

It is a happy number.

It is not a de Polignac number, because 242602256325 - 217 = 242602125253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242602256329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61463002 + ... + 61466948.

It is an arithmetic number, because the mean of its divisors is an integer number (3304353612).

Almost surely, 2242602256325 is an apocalyptic number.

242602256325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242602256325 is a deficient number, since it is larger than the sum of its proper divisors (233224663803).

242602256325 is a wasteful number, since it uses less digits than its factorization.

242602256325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 242602256325 in words is "two hundred forty-two billion, six hundred two million, two hundred fifty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 121 143 165 195 275 325 363 429 521 605 715 825 975 1563 1573 1815 2145 2605 3025 3575 3947 4719 5731 6773 7815 7865 9075 10725 11841 13025 17193 19735 20319 23595 28655 33865 39075 39325 43417 51311 59205 63041 74503 85965 98675 101595 117975 130251 143275 153933 169325 189123 217085 223509 256555 296025 315205 372515 429825 477587 507975 564421 651255 769665 819533 945615 1085425 1117545 1282775 1432761 1576025 1693263 1862575 2056387 2387935 2458599 2822105 3256275 3848325 4097665 4728075 5587725 6169161 6208631 7163805 8466315 10281935 11939675 12292995 14110525 18625893 20488325 22620257 26733031 30845805 31043155 35819025 42331575 51409675 61464975 67860771 80199093 93129465 113101285 133665155 154229025 155215775 248822827 294063341 339303855 400995465 465647325 565506425 668325775 746468481 882190023 1244114135 1470316705 1696519275 2004977325 3234696751 3732342405 4410950115 6220570675 7351583525 9704090253 16173483755 18661712025 22054750575 48520451265 80867418775 242602256325