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214118947944 = 2332111715903071
BaseRepresentation
bin1100011101101001111…
…0111101110001101000
3202110200022120112222100
43013122132331301220
512002003422313234
6242210452053400
721320032012356
oct3073236756150
9673608515870
10214118947944
1182897622820
12355b8004260
1317264477145
14a5132bc7d6
155882c51399
hex31da7bdc68

214118947944 has 96 divisors (see below), whose sum is σ = 669837392640. Its totient is φ = 61067788800.

The previous prime is 214118947943. The next prime is 214118947957. The reversal of 214118947944 is 449749811412.

214118947944 is a `hidden beast` number, since 2 + 14 + 118 + 9 + 479 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (214118947943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7938072 + ... + 7964999.

It is an arithmetic number, because the mean of its divisors is an integer number (6977472840).

Almost surely, 2214118947944 is an apocalyptic number.

214118947944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214118947944 is an abundant number, since it is smaller than the sum of its proper divisors (455718444696).

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

214118947944 is a wasteful number, since it uses less digits than its factorization.

214118947944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903111 (or 15903104 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 214118947944 in words is "two hundred fourteen billion, one hundred eighteen million, nine hundred forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 15903071 31806142 47709213 63612284 95418426 127224568 143127639 174933781 190836852 270352207 286255278 349867562 381673704 524801343 540704414 572510556 699735124 811056621 1049602686 1081408828 1145021112 1399470248 1574404029 1622113242 2099205372 2162817656 2433169863 2973874277 3148808058 3244226484 4198410744 4866339726 5947748554 6297616116 6488452968 8921622831 9732679452 11895497108 12595232232 17843245662 19465358904 23790994216 26764868493 35686491324 53529736986 71372982648 107059473972 214118947944