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442288297968 = 2431117192593397
BaseRepresentation
bin1100110111110100110…
…11111101011111110000
31120021121211110111011220
412123322123331133300
524221301301013333
6535103501105040
743645213334316
oct6337233753760
91507554414156
10442288297968
11160634239590
1271875558180
13329277c956a
141759a6340b6
15b78923e8b3
hex66fa6fd7f0

442288297968 has 160 divisors (see below), whose sum is σ = 1389231440640. Its totient is φ = 119503687680.

The previous prime is 442288297943. The next prime is 442288298033. The reversal of 442288297968 is 869792882244.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 1126155 + ... + 1467242.

It is an arithmetic number, because the mean of its divisors is an integer number (8682696504).

Almost surely, 2442288297968 is an apocalyptic number.

442288297968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442288297968 is an abundant number, since it is smaller than the sum of its proper divisors (946943142672).

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

442288297968 is a wasteful number, since it uses less digits than its factorization.

442288297968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593455 (or 2593449 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 69.

The spelling of 442288297968 in words is "four hundred forty-two billion, two hundred eighty-eight million, two hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 304 323 374 408 418 456 528 561 627 646 748 816 836 912 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 2992 3344 3553 3876 4488 5016 5168 7106 7752 8976 10032 10659 14212 15504 21318 28424 42636 56848 85272 170544 2593397 5186794 7780191 10373588 15560382 20747176 28527367 31120764 41494352 44087749 49274543 57054734 62241528 85582101 88175498 98549086 114109468 124483056 132263247 147823629 171164202 176350996 197098172 228218936 264526494 295647258 342328404 352701992 394196344 456437872 484965239 529052988 542019973 591294516 684656808 705403984 788392688 837667231 969930478 1058105976 1084039946 1182589032 1369313616 1454895717 1626059919 1675334462 1939860956 2116211952 2168079892 2365178064 2513001693 2909791434 3252119838 3350668924 3879721912 4336159784 5026003386 5819582868 6504239676 6701337848 7759443824 8672319568 9214339541 10052006772 11639165736 13008479352 13402675696 18428679082 20104013544 23278331472 26016958704 27643018623 36857358164 40208027088 55286037246 73714716328 110572074492 147429432656 221144148984 442288297968