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242244004032 = 26321724738971
BaseRepresentation
bin1110000110011011011…
…1100010100011000000
3212011021101211102211100
43201212313202203000
512432103431112112
6303141345414400
723334014026422
oct3414667424300
9764241742740
10242244004032
119380a474728
123ab4703a400
1319ac726c274
14ba20702812
15647be6b2dc
hex3866de28c0

242244004032 has 84 divisors (see below), whose sum is σ = 735192769896. Its totient is φ = 75998115840.

The previous prime is 242244004001. The next prime is 242244004159. The reversal of 242244004032 is 230400442242.

242244004032 is a `hidden beast` number, since 2 + 4 + 224 + 400 + 4 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242244003987 and 242244004005.

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 11 ways as a sum of consecutive naturals, for example, 12359694 + ... + 12379277.

Almost surely, 2242244004032 is an apocalyptic number.

It is an amenable number.

242244004032 is an abundant number, since it is smaller than the sum of its proper divisors (492948765864).

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

242244004032 is a wasteful number, since it uses less digits than its factorization.

242244004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24739006 (or 24738993 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 242244004032 its reverse (230400442242), we get a palindrome (472644446274).

The spelling of 242244004032 in words is "two hundred forty-two billion, two hundred forty-four million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 24738971 49477942 74216913 98955884 148433826 197911768 222650739 296867652 395823536 420562507 445301478 593735304 791647072 841125014 890602956 1187470608 1261687521 1583294144 1682250028 1781205912 2374941216 2523375042 3364500056 3562411824 3785062563 4749882432 5046750084 6729000112 7124823648 7570125126 10093500168 13458000224 14249647296 15140250252 20187000336 26916000448 30280500504 40374000672 60561001008 80748001344 121122002016 242244004032