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14143156832 = 257437120681
BaseRepresentation
bin11010010101111111…
…10111001001100000
31100111122211210211102
431022333313021200
5212431122004312
610255224533532
71010323564250
oct151277671140
940448753742
1014143156832
115aa8497072
1228a86212a8
13144518306c
149824dd960
1557b9aeec2
hex34aff7260

14143156832 has 96 divisors (see below), whose sum is σ = 33022370304. Its totient is φ = 5836723200.

The previous prime is 14143156759. The next prime is 14143156861. The reversal of 14143156832 is 23865134141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673532 + ... + 694212.

It is an arithmetic number, because the mean of its divisors is an integer number (343983024).

Almost surely, 214143156832 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 14143156832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511185152).

14143156832 is an abundant number, since it is smaller than the sum of its proper divisors (18879213472).

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

14143156832 is a wasteful number, since it uses less digits than its factorization.

14143156832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20804 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The spelling of 14143156832 in words is "fourteen billion, one hundred forty-three million, one hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 71 86 112 142 172 224 284 301 344 497 568 602 688 994 1136 1204 1376 1988 2272 2408 3053 3976 4816 6106 7952 9632 12212 15904 20681 21371 24424 41362 42742 48848 82724 85484 97696 144767 165448 170968 289534 330896 341936 579068 661792 683872 889283 1158136 1468351 1778566 2316272 2936702 3557132 4632544 5873404 6224981 7114264 10278457 11746808 12449962 14228528 20556914 23493616 24899924 28457056 41113828 46987232 49799848 63139093 82227656 99599696 126278186 164455312 199199392 252556372 328910624 441973651 505112744 883947302 1010225488 1767894604 2020450976 3535789208 7071578416 14143156832