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14143902048 = 253371230567
BaseRepresentation
bin11010010110000101…
…01101000101100000
31100111201020200002000
431023002231011200
5212431314331143
610255252524000
71010333120013
oct151302550540
940451220060
1014143902048
115aa8955a51
1228a8920600
131445384313
1498265537a
1557baaabd3
hex34b0ad160

14143902048 has 96 divisors (see below), whose sum is σ = 41834257920. Its totient is φ = 4648210560.

The previous prime is 14143902041. The next prime is 14143902053. The reversal of 14143902048 is 84020934141.

It is a happy number.

14143902048 is a `hidden beast` number, since 1 + 414 + 39 + 0 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14143902041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53940 + ... + 176627.

It is an arithmetic number, because the mean of its divisors is an integer number (435773520).

Almost surely, 214143902048 is an apocalyptic number.

14143902048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14143902048 is an abundant number, since it is smaller than the sum of its proper divisors (27690355872).

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

14143902048 is a wasteful number, since it uses less digits than its factorization.

14143902048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230657 (or 230643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14143902048 in words is "fourteen billion, one hundred forty-three million, nine hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 230567 461134 691701 922268 1383402 1844536 2075103 2766804 3689072 4150206 5533608 6225309 7378144 8300412 11067216 12450618 16370257 16600824 22134432 24901236 32740514 33201648 49110771 49802472 65481028 66403296 98221542 99604944 130962056 147332313 196443084 199209888 261924112 294664626 392886168 441996939 523848224 589329252 785772336 883993878 1178658504 1571544672 1767987756 2357317008 3535975512 4714634016 7071951024 14143902048