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14117835942 = 23272341118819
BaseRepresentation
bin11010010010111110…
…10001010010100110
31100102220012101002200
431021133101102212
5212403131222232
610252522115330
71006565424360
oct151137212246
940386171080
1014117835942
115a95172111
1228a004bb46
13143cb58aa2
1497cdcbd30
1557965c77c
hex3497d14a6

14117835942 has 96 divisors (see below), whose sum is σ = 37368414720. Its totient is φ = 3764154240.

The previous prime is 14117835899. The next prime is 14117835967. The reversal of 14117835942 is 24953871141.

14117835942 is a `hidden beast` number, since 1 + 41 + 17 + 8 + 3 + 594 + 2 = 666.

14117835942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 59409 + ... + 178227.

It is an arithmetic number, because the mean of its divisors is an integer number (389254320).

Almost surely, 214117835942 is an apocalyptic number.

It is a pronic number, being equal to 118818×118819.

It is a practical number, because each smaller number is the sum of distinct divisors of 14117835942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684207360).

14117835942 is an abundant number, since it is smaller than the sum of its proper divisors (23250578778).

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

14117835942 is a wasteful number, since it uses less digits than its factorization.

14117835942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118898 (or 118895 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 14117835942 in words is "fourteen billion, one hundred seventeen million, eight hundred thirty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 41 42 46 63 69 82 123 126 138 161 207 246 287 322 369 414 483 574 738 861 943 966 1449 1722 1886 2583 2829 2898 5166 5658 6601 8487 13202 16974 19803 39606 59409 118818 118819 237638 356457 712914 831733 1069371 1663466 2138742 2495199 2732837 4871579 4990398 5465674 7485597 8198511 9743158 14614737 14971194 16397022 19129859 24595533 29229474 34101053 38259718 43844211 49191066 57389577 68202106 87688422 102303159 112046317 114779154 172168731 204606318 224092634 306909477 336138951 344337462 613818954 672277902 784324219 1008416853 1568648438 2016833706 2352972657 4705945314 7058917971 14117835942