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14116662336 = 263715976577
BaseRepresentation
bin11010010010110101…
…10010110001000000
31100102210222202012210
431021122302301000
5212402331143321
610252441022120
71006552435650
oct151132626100
940383882183
1014116662336
115a94540397
12289b784940
13143c83784a
1497cba4360
155794c9b76
hex3496b2c40

14116662336 has 112 divisors (see below), whose sum is σ = 42719321216. Its totient is φ = 4030193664.

The previous prime is 14116662331. The next prime is 14116662337. The reversal of 14116662336 is 63326661141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14116662294 and 14116662303.

It is not an unprimeable number, because it can be changed into a prime (14116662331) 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, 2143080 + ... + 2149656.

Almost surely, 214116662336 is an apocalyptic number.

14116662336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14116662336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359660608).

14116662336 is an abundant number, since it is smaller than the sum of its proper divisors (28602658880).

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

14116662336 is a wasteful number, since it uses less digits than its factorization.

14116662336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8186 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The spelling of 14116662336 in words is "fourteen billion, one hundred sixteen million, six hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1597 3194 4791 6388 6577 9582 11179 12776 13154 19164 19731 22358 25552 26308 33537 38328 39462 44716 46039 51104 52616 67074 76656 78924 89432 92078 102208 105232 134148 138117 153312 157848 178864 184156 210464 268296 276234 306624 315696 357728 368312 420928 536592 552468 631392 715456 736624 1073184 1104936 1262784 1473248 2146368 2209872 2946496 4419744 8839488 10503469 21006938 31510407 42013876 63020814 73524283 84027752 126041628 147048566 168055504 220572849 252083256 294097132 336111008 441145698 504166512 588194264 672222016 882291396 1008333024 1176388528 1764582792 2016666048 2352777056 3529165584 4705554112 7058331168 14116662336