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14361470472 = 2337118314603
BaseRepresentation
bin11010110000000001…
…01010011000001000
31101001212122021211210
431120000222120020
5213403014023342
610333024053120
71015614325206
oct153000523010
941055567753
1014361470472
1160aa748368
1229497641a0
13147b48002b
149a34cc076
15590c3579c
hex35802a608

14361470472 has 64 divisors (see below), whose sum is σ = 36437160960. Its totient is φ = 4716129600.

The previous prime is 14361470449. The next prime is 14361470479. The reversal of 14361470472 is 27407416341.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14361470472.

It is not an unprimeable number, because it can be changed into a prime (14361470479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117723 + ... + 3122325.

It is an arithmetic number, because the mean of its divisors is an integer number (569330640).

Almost surely, 214361470472 is an apocalyptic number.

14361470472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14361470472 is an abundant number, since it is smaller than the sum of its proper divisors (22075690488).

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

14361470472 is a wasteful number, since it uses less digits than its factorization.

14361470472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 14361470472 in words is "fourteen billion, three hundred sixty-one million, four hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 1831 3662 4603 5493 7324 9206 10986 13809 14648 18412 21972 27618 36824 43944 55236 110472 130001 260002 326813 390003 520004 653626 780006 980439 1040008 1307252 1560012 1960878 2614504 3120024 3921756 7843512 8428093 16856186 25284279 33712372 50568558 67424744 101137116 202274232 598394603 1196789206 1795183809 2393578412 3590367618 4787156824 7180735236 14361470472