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14281418124 = 223516139109
BaseRepresentation
bin11010100110011110…
…10010010110001100
31100212022000012200000
431103033102112030
5213222020334444
610321044204300
71013623023351
oct152317222614
940768005600
1014281418124
1160695408a6
122926999690
131467a01b8c
14996a10628
15588bc1469
hex3533d258c

14281418124 has 72 divisors (see below), whose sum is σ = 37464619920. Its totient is φ = 4756999104.

The previous prime is 14281418113. The next prime is 14281418141. The reversal of 14281418124 is 42181418241.

It is a happy number.

14281418124 is a `hidden beast` number, since 1 + 42 + 81 + 418 + 124 = 666.

14281418124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563282 + ... + 1572390.

Almost surely, 214281418124 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 14281418124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732309960).

14281418124 is an abundant number, since it is smaller than the sum of its proper divisors (23183201796).

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

14281418124 is a wasteful number, since it uses less digits than its factorization.

14281418124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10727 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The spelling of 14281418124 in words is "fourteen billion, two hundred eighty-one million, four hundred eighteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1613 3226 4839 6452 9109 9678 14517 18218 19356 27327 29034 36436 43551 54654 58068 81981 87102 109308 130653 163962 174204 245943 261306 327924 391959 491886 522612 737829 783918 983772 1475658 1567836 2213487 2951316 4426974 8853948 14692817 29385634 44078451 58771268 88156902 132235353 176313804 264470706 396706059 528941412 793412118 1190118177 1586824236 2380236354 3570354531 4760472708 7140709062 14281418124