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242809958424 = 2331119311561519
BaseRepresentation
bin1110001000100010011…
…0011111000000011000
3212012201211202220022010
43202020212133000120
512434233322132144
6303313444025520
723354025410265
oct3421046370030
9765654686263
10242809958424
1193a7a989630
123b0846922a0
1319b875a7617
14ba7594626c
1564b19b15b9
hex388899f018

242809958424 has 128 divisors (see below), whose sum is σ = 719548416000. Its totient is φ = 67457577600.

The previous prime is 242809958407. The next prime is 242809958453. The reversal of 242809958424 is 424859908242.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625264 + ... + 936255.

It is an arithmetic number, because the mean of its divisors is an integer number (5621472000).

Almost surely, 2242809958424 is an apocalyptic number.

242809958424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242809958424 is an abundant number, since it is smaller than the sum of its proper divisors (476738457576).

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

242809958424 is a wasteful number, since it uses less digits than its factorization.

242809958424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561589 (or 1561585 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 242809958424 in words is "two hundred forty-two billion, eight hundred nine million, nine hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 1023 1178 1254 1364 1672 1767 2046 2356 2508 2728 3534 4092 4712 5016 6479 7068 8184 12958 14136 19437 25916 38874 51832 77748 155496 1561519 3123038 4684557 6246076 9369114 12492152 17176709 18738228 29668861 34353418 37476456 48407089 51530127 59337722 68706836 89006583 96814178 103060254 118675444 137413672 145221267 178013166 193628356 206120508 237350888 290442534 326357471 356026332 387256712 412241016 532477979 580885068 652714942 712052664 919734691 979072413 1064955958 1161770136 1305429884 1597433937 1839469382 1958144826 2129911916 2610859768 2759204073 3194867874 3678938764 3916289652 4259823832 5518408146 6389735748 7357877528 7832579304 10117081601 11036816292 12779471496 20234163202 22073632584 30351244803 40468326404 60702489606 80936652808 121404979212 242809958424