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442530144252 = 2232717103298353
BaseRepresentation
bin1100111000010001101…
…10100001111111111100
31120022020200112112220200
412130020312201333330
524222300204104002
6535143500443500
743654211106450
oct6341066417774
91508220475820
10442530144252
11160748803249
1271922549590
1332965945881
14175c07ca660
15b7a05b2b1c
hex6708da1ffc

442530144252 has 72 divisors (see below), whose sum is σ = 1353621630816. Its totient is φ = 118999701504.

The previous prime is 442530144241. The next prime is 442530144281. The reversal of 442530144252 is 252441035244.

442530144252 is a `hidden beast` number, since 44 + 25 + 301 + 44 + 252 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51644893 + ... + 51653460.

It is an arithmetic number, because the mean of its divisors is an integer number (18800300428).

Almost surely, 2442530144252 is an apocalyptic number.

442530144252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442530144252 is an abundant number, since it is smaller than the sum of its proper divisors (911091486564).

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

442530144252 is a wasteful number, since it uses less digits than its factorization.

442530144252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103298387 (or 103298382 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 442530144252 its reverse (252441035244), we get a palindrome (694971179496).

The spelling of 442530144252 in words is "four hundred forty-two billion, five hundred thirty million, one hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 103298353 206596706 309895059 413193412 619790118 723088471 929685177 1239580236 1446176942 1756072001 1859370354 2169265413 2892353884 3512144002 3718740708 4338530826 5268216003 6507796239 7024288004 8677061652 10536432006 12292504007 13015592478 15804648009 21072864012 24585008014 26031184956 31609296018 36877512021 49170016028 63218592036 73755024042 110632536063 147510048084 221265072126 442530144252