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14158113168 = 2433139901
BaseRepresentation
bin11010010111110001…
…11010100110010000
31100112200222200001210
431023320322212100
5212443434110133
610300521300120
71010564655603
oct151370724620
940480880053
1014158113168
116005981a81
1228b1634640
1314482bb874
149844b433a
1557ce66763
hex34be3a990

14158113168 has 80 divisors (see below), whose sum is σ = 37798072832. Its totient is φ = 4566672000.

The previous prime is 14158113157. The next prime is 14158113173. The reversal of 14158113168 is 86131185141.

It is a happy number.

14158113168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1425018 + ... + 1434918.

Almost surely, 214158113168 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 14158113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899036416).

14158113168 is an abundant number, since it is smaller than the sum of its proper divisors (23639959664).

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

14158113168 is an frugal number, since it uses more digits than its factorization.

14158113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9937 counting only the distinct ones).

The product of its digits is 23040, while the sum is 39.

The spelling of 14158113168 in words is "fourteen billion, one hundred fifty-eight million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 9901 11532 15376 19802 23064 29703 29791 39604 46128 59406 59582 79208 89373 118812 119164 158416 178746 237624 238328 306931 357492 475248 476656 613862 714984 920793 1227724 1429968 1841586 2455448 3683172 4910896 7366344 9514861 14732688 19029722 28544583 38059444 57089166 76118888 114178332 152237776 228356664 294960691 456713328 589921382 884882073 1179842764 1769764146 2359685528 3539528292 4719371056 7079056584 14158113168