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14004982128 = 243678814943
BaseRepresentation
bin11010000101100001…
…10001000101110000
31100011000211210202210
431002300301011300
5212140233412003
610233411212120
71004025245454
oct150260610560
940130753683
1014004982128
115a374a13a5
12286a2a7040
131422664797
1496c012664
1556e7b9503
hex342c31170

14004982128 has 80 divisors (see below), whose sum is σ = 36768646656. Its totient is φ = 4592501760.

The previous prime is 14004982111. The next prime is 14004982157. The reversal of 14004982128 is 82128940041.

It is a super-2 number, since 2×140049821282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2830825 + ... + 2835767.

Almost surely, 214004982128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384323328).

14004982128 is an abundant number, since it is smaller than the sum of its proper divisors (22763664528).

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

14004982128 is a wasteful number, since it uses less digits than its factorization.

14004982128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 14004982128 in words is "fourteen billion, four million, nine hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 881 1072 1608 1762 2643 3216 3524 4943 5286 7048 9886 10572 14096 14829 19772 21144 29658 39544 42288 59027 59316 79088 118054 118632 177081 236108 237264 331181 354162 472216 662362 708324 944432 993543 1324724 1416648 1987086 2649448 2833296 3974172 4354783 5298896 7948344 8709566 13064349 15896688 17419132 26128698 34838264 52257396 69676528 104514792 209029584 291770461 583540922 875311383 1167081844 1750622766 2334163688 3501245532 4668327376 7002491064 14004982128