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242336565633242 = 229431031317201351
BaseRepresentation
bin110111000110011101100000…
…111010010010000011011010
31011210001011000221000120120202
4313012131200322102003122
5223230420241300230432
62215223514212222202
7102021145002511553
oct6706354072220332
91153034027016522
10242336565633242
11702413a6664a03
122321a54960a962
13a52b317602582
1443bb21c10732a
151d03ae4689462
hexdc6760e920da

242336565633242 has 64 divisors (see below), whose sum is σ = 391486234613760. Its totient is φ = 112296123576000.

The previous prime is 242336565633223. The next prime is 242336565633257.

242336565633242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2423365656332422 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30050867 + ... + 37252217.

It is an arithmetic number, because the mean of its divisors is an integer number (6116972415840).

Almost surely, 2242336565633242 is an apocalyptic number.

242336565633242 is a deficient number, since it is larger than the sum of its proper divisors (149149668980518).

242336565633242 is a wasteful number, since it uses less digits than its factorization.

242336565633242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201659.

The product of its digits is 111974400, while the sum is 56.

The spelling of 242336565633242 in words is "two hundred forty-two trillion, three hundred thirty-six billion, five hundred sixty-five million, six hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 29 43 58 86 103 131 206 262 1247 2494 2987 3799 4429 5633 5974 7598 8858 11266 13493 26986 128441 163357 256882 326714 391297 580199 782594 1160398 7201351 14402702 16825771 33651542 208839179 309658093 417678358 619316186 741739153 943376981 1483478306 1886753962 8980084697 17960169394 21510435437 27357932449 31894783579 40565210183 43020870874 54715864898 63789567158 81130420366 97167829043 194335658086 924948723791 1176391095307 1849897447582 2352782190614 2817867042247 4178216648849 5635734084494 8356433297698 121168282816621 242336565633242