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14145681536 = 27723686417
BaseRepresentation
bin11010010110010010…
…11111100010000000
31100111211121002001222
431023021133202000
5212432243302121
610255355014212
71010354211020
oct151311374200
940454532058
1014145681536
115aa99609a8
1228a943a368
13144585827c
14982999a80
1557bd0d0ab
hex34b25f880

14145681536 has 64 divisors (see below), whose sum is σ = 33607025280. Its totient is φ = 5798842368.

The previous prime is 14145681533. The next prime is 14145681541. The reversal of 14145681536 is 63518654141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×141456815362 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14145681533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322601 + ... + 363816.

It is an arithmetic number, because the mean of its divisors is an integer number (525109770).

Almost surely, 214145681536 is an apocalyptic number.

14145681536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14145681536 is an abundant number, since it is smaller than the sum of its proper divisors (19461343744).

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

14145681536 is an equidigital number, since it uses as much as digits as its factorization.

14145681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686461 (or 686449 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The spelling of 14145681536 in words is "fourteen billion, one hundred forty-five million, six hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 686417 1372834 2745668 4804919 5491336 9609838 10982672 15787591 19219676 21965344 31575182 38439352 43930688 63150364 76878704 87861376 110513137 126300728 153757408 221026274 252601456 307514816 442052548 505202912 615029632 884105096 1010405824 1768210192 2020811648 3536420384 7072840768 14145681536