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242137338624 = 2832105094331
BaseRepresentation
bin1110000110000010000…
…0101001001100000000
3212010222222010021101200
43201200200221030000
512431344124313444
6303123015301200
723331250263516
oct3414040511400
9763888107350
10242137338624
11937652403a5
123ab1737a800
1319aab13393c
14ba104984b6
1564728eb969
hex3860829300

242137338624 has 54 divisors (see below), whose sum is σ = 698141647476. Its totient is φ = 80712445440.

The previous prime is 242137338601. The next prime is 242137338679. The reversal of 242137338624 is 426833731242.

242137338624 is a `hidden beast` number, since 2 + 4 + 2 + 13 + 7 + 3 + 3 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242137338624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52544862 + ... + 52549469.

Almost surely, 2242137338624 is an apocalyptic number.

242137338624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242137338624 is an abundant number, since it is smaller than the sum of its proper divisors (456004308852).

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

242137338624 is a wasteful number, since it uses less digits than its factorization.

242137338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105094353 (or 105094336 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 242137338624 in words is "two hundred forty-two billion, one hundred thirty-seven million, three hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 105094331 210188662 315282993 420377324 630565986 840754648 945848979 1261131972 1681509296 1891697958 2522263944 3363018592 3783395916 5044527888 6726037184 7566791832 10089055776 13452074368 15133583664 20178111552 26904148736 30267167328 40356223104 60534334656 80712446208 121068669312 242137338624