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242337730740 = 223574313418479
BaseRepresentation
bin1110000110110001110…
…1000101000010110100
3212011111221012020200220
43201230131011002310
512432301424340430
6303154534334340
723336232503220
oct3415435050264
9764457166626
10242337730740
1193858370a16
123ab724ba3b0
1319b107c7561
14ba2cd3d780
1564852d2110
hex386c7450b4

242337730740 has 96 divisors (see below), whose sum is σ = 793515233280. Its totient is φ = 54103303296.

The previous prime is 242337730711. The next prime is 242337730753. The reversal of 242337730740 is 47037733242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 242337730692 and 242337730701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6691180 + ... + 6727299.

It is an arithmetic number, because the mean of its divisors is an integer number (8265783680).

Almost surely, 2242337730740 is an apocalyptic number.

242337730740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242337730740 is an abundant number, since it is smaller than the sum of its proper divisors (551177502540).

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

242337730740 is a wasteful number, since it uses less digits than its factorization.

242337730740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13418541 (or 13418539 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 42.

The spelling of 242337730740 in words is "two hundred forty-two billion, three hundred thirty-seven million, seven hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 13418479 26836958 40255437 53673916 67092395 80510874 93929353 134184790 161021748 187858706 201277185 268369580 281788059 375717412 402554370 469646765 563576118 576994597 805108740 939293530 1127152236 1153989194 1408940295 1730983791 1878587060 2307978388 2817880590 2884972985 3461967582 4038962179 5635761180 5769945970 6923935164 8077924358 8654918955 11539891940 12116886537 16155848716 17309837910 20194810895 24233773074 34619675820 40389621790 48467546148 60584432685 80779243580 121168865370 242337730740