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110442044236968 = 233211319370334141
BaseRepresentation
bin11001000111001001001010…
…110100001010010010101000
3112111001011012221202200112200
4121013021022310022102220
5103433440301311040333
61030520212533540200
732156113545526113
oct3107111264122250
9474034187680480
10110442044236968
1132210231832074
12104784a91a4660
134981842357612
141d3b5cdda357a
15cb7cb72e2c13
hex64724ad0a4a8

110442044236968 has 96 divisors (see below), whose sum is σ = 303324427472040. Its totient is φ = 36299168317440.

The previous prime is 110442044236883. The next prime is 110442044236999. The reversal of 110442044236968 is 869632440244011.

110442044236968 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 4 + 204 + 423 + 6 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17966933742564 + 92475110494404 = 4238742^2 + 9616398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33596823 + ... + 36737318.

Almost surely, 2110442044236968 is an apocalyptic number.

110442044236968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110442044236968 is an abundant number, since it is smaller than the sum of its proper divisors (192882383235072).

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

110442044236968 is a wasteful number, since it uses less digits than its factorization.

110442044236968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70334459 (or 70334452 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 110442044236968 in words is "one hundred ten trillion, four hundred forty-two billion, forty-four million, two hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 193 226 339 386 452 579 678 772 904 1017 1158 1356 1544 1737 2034 2316 2712 3474 4068 4632 6948 8136 13896 21809 43618 65427 87236 130854 174472 196281 261708 392562 523416 785124 1570248 70334141 140668282 211002423 281336564 422004846 562673128 633007269 844009692 1266014538 1688019384 2532029076 5064058152 7947757933 13574489213 15895515866 23843273799 27148978426 31791031732 40723467639 47686547598 54297956852 63582063464 71529821397 81446935278 95373095196 108595913704 122170402917 143059642794 162893870556 190746190392 244340805834 286119285588 325787741112 488681611668 572238571176 977363223336 1533917281069 3067834562138 4601751843207 6135669124276 9203503686414 12271338248552 13805255529621 18407007372828 27610511059242 36814014745656 55221022118484 110442044236968