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242363054521335 = 351119613112609491
BaseRepresentation
bin110111000110110110001011…
…110001010111101111110111
31011210010200101222112111220010
4313012312023301113233313
5223231334013424140320
62215244014501111303
7102023103266400546
oct6706661361275767
91153120358474803
10242363054521335
1170251659981660
12232237006b8533
13a53097943a357
1443bc61210015d
151d04644e0dae0
hexdc6d8bc57bf7

242363054521335 has 64 divisors (see below), whose sum is σ = 445371292477440. Its totient is φ = 111306490128000.

The previous prime is 242363054521331. The next prime is 242363054521349. The reversal of 242363054521335 is 533125450363242.

It is a happy number.

It is not a de Polignac number, because 242363054521335 - 22 = 242363054521331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242363054521331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12915940 + ... + 25525430.

It is an arithmetic number, because the mean of its divisors is an integer number (6958926444960).

Almost surely, 2242363054521335 is an apocalyptic number.

242363054521335 is a deficient number, since it is larger than the sum of its proper divisors (203008237956105).

242363054521335 is a wasteful number, since it uses less digits than its factorization.

242363054521335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615660.

The product of its (nonzero) digits is 7776000, while the sum is 48.

It can be divided in two parts, 2423630 and 54521335, that added together give a palindrome (56944965).

The spelling of 242363054521335 in words is "two hundred forty-two trillion, three hundred sixty-three billion, fifty-four million, five hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 6131 18393 30655 67441 91965 116489 202323 337205 349467 582445 1011615 1281379 1747335 3844137 6406895 12609491 19220685 37828473 63047455 138704401 189142365 239580329 416113203 693522005 718740987 1197901645 2080566015 2635383619 3593704935 7906150857 13176918095 39530754285 77308789321 231926367963 386543946605 850396682531 1159631839815 1468866997099 2551190047593 4251983412655 4406600991297 7344334985495 12755950237965 16157536968089 22033004956485 48472610904267 80787684840445 242363054521335