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14146655994 = 234173653773
BaseRepresentation
bin11010010110011010…
…01101011011111010
31100111220102120210000
431023031031123322
5212433020442434
610255431533430
71010365410012
oct151315153372
940456376700
1014146655994
115aaa467039
1228a982a276
131445b09983
14982b70c42
1557be51b99
hex34b34d6fa

14146655994 has 80 divisors (see below), whose sum is σ = 31972351752. Its totient is φ = 4675059072.

The previous prime is 14146655969. The next prime is 14146656011. The reversal of 14146655994 is 49955664141.

14146655994 is a `hidden beast` number, since 1 + 4 + 1 + 46 + 6 + 5 + 599 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10169714025 + 3976941969 = 100845^2 + 63063^2 .

It is a super-2 number, since 2×141466559942 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14146655994.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18300592 + ... + 18301364.

Almost surely, 214146655994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14146655994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986175876).

14146655994 is an abundant number, since it is smaller than the sum of its proper divisors (17825695758).

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

14146655994 is a wasteful number, since it uses less digits than its factorization.

14146655994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 14146655994 in words is "fourteen billion, one hundred forty-six million, six hundred fifty-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 653 773 1038 1306 1546 1557 1959 2319 3114 3918 4638 4671 5877 6957 9342 11754 13914 14013 17631 20871 28026 35262 41742 52893 62613 105786 112969 125226 133729 225938 267458 338907 401187 504769 677814 802374 1009538 1016721 1203561 1514307 2033442 2407122 3028614 3050163 3610683 4542921 6100326 7221366 9085842 9150489 10832049 13628763 18300978 21664098 27257526 40886289 81772578 87325037 174650074 261975111 523950222 785925333 1571850666 2357775999 4715551998 7073327997 14146655994