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242544413124 = 223313574130091
BaseRepresentation
bin1110000111100011000…
…1100000100111000100
3212012001100002210122000
43201320301200213010
512433212332204444
6303231240305300
723344322331606
oct3417061404704
9765040083560
10242544413124
1193953aa8502
123b00b772230
1319b44581320
14ba4c581176
15649850b469
hex3878c609c4

242544413124 has 96 divisors (see below), whose sum is σ = 677329994880. Its totient is φ = 74613571200.

The previous prime is 242544413119. The next prime is 242544413129. The reversal of 242544413124 is 421314445242.

242544413124 is a `hidden beast` number, since 2 + 42 + 54 + 441 + 3 + 124 = 666.

It is an interprime number because it is at equal distance from previous prime (242544413119) and next prime (242544413129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242544413129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8045319 + ... + 8075409.

It is an arithmetic number, because the mean of its divisors is an integer number (7055520780).

Almost surely, 2242544413124 is an apocalyptic number.

It is an amenable number.

242544413124 is an abundant number, since it is smaller than the sum of its proper divisors (434785581756).

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

242544413124 is a wasteful number, since it uses less digits than its factorization.

242544413124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35858 (or 35850 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 242544413124 its reverse (421314445242), we get a palindrome (663858858366).

The spelling of 242544413124 in words is "two hundred forty-two billion, five hundred forty-four million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 5741 11482 17223 22964 30091 34446 51669 60182 68892 74633 90273 103338 120364 149266 155007 180546 206676 223899 270819 298532 310014 361092 391183 447798 541638 620028 671697 782366 812457 895596 1083276 1173549 1343394 1564732 1624914 2015091 2347098 2686788 3249828 3520647 4030182 4694196 7041294 8060364 10561941 14082588 21123882 42247764 172752431 345504862 518257293 691009724 1036514586 1554771879 2073029172 2245781603 3109543758 4491563206 4664315637 6219087516 6737344809 8983126412 9328631274 13474689618 18657262548 20212034427 26949379236 40424068854 60636103281 80848137708 121272206562 242544413124