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242804065392 = 24327234411007
BaseRepresentation
bin1110001000100001000…
…0000000010001110000
3212012201102200111120200
43202020100000101300
512434230320043032
6303313113435200
723353624334400
oct3421020002160
9765642614520
10242804065392
1193a77624059
123b08270bb00
1319b862c3215
14ba74c50800
1564b11ea47c
hex3888400470

242804065392 has 90 divisors (see below), whose sum is σ = 790455264768. Its totient is φ = 69372588096.

The previous prime is 242804065373. The next prime is 242804065409. The reversal of 242804065392 is 293560408242.

242804065392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2428040653922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17198448 + ... + 17212559.

Almost surely, 2242804065392 is an apocalyptic number.

It is an amenable number.

242804065392 is an abundant number, since it is smaller than the sum of its proper divisors (547651199376).

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

242804065392 is a wasteful number, since it uses less digits than its factorization.

242804065392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34411035 (or 34411019 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 242804065392 in words is "two hundred forty-two billion, eight hundred four million, sixty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 34411007 68822014 103233021 137644028 206466042 240877049 275288056 309699063 412932084 481754098 550576112 619398126 722631147 825864168 963508196 1238796252 1445262294 1651728336 1686139343 1927016392 2167893441 2477592504 2890524588 3372278686 3854032784 4335786882 4955185008 5058418029 5781049176 6744557372 8671573764 10116836058 11562098352 13489114744 15175254087 17343147528 20233672116 26978229488 30350508174 34686295056 40467344232 60701016348 80934688464 121402032696 242804065392