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14861432344 = 23111096192503
BaseRepresentation
bin11011101011100111…
…10111011000011000
31102100201101222121011
431311303313120120
5220414011313334
610454404023304
71034165043043
oct156563673030
942321358534
1014861432344
1163369890a0
122a69091b34
13152ac20965
14a0da73c5a
155bea92564
hex375cf7618

14861432344 has 64 divisors (see below), whose sum is σ = 30739104000. Its totient is φ = 6679739520.

The previous prime is 14861432323. The next prime is 14861432347. The reversal of 14861432344 is 44323416841.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14861432297 and 14861432306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14861432347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5936197 + ... + 5938699.

It is an arithmetic number, because the mean of its divisors is an integer number (480298500).

Almost surely, 214861432344 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 14861432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369552000).

14861432344 is an abundant number, since it is smaller than the sum of its proper divisors (15877671656).

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

14861432344 is a wasteful number, since it uses less digits than its factorization.

14861432344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3244 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 14861432344 in words is "fourteen billion, eight hundred sixty-one million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 619 872 1199 1238 2398 2476 2503 4796 4952 5006 6809 9592 10012 13618 20024 27236 27533 54472 55066 67471 110132 134942 220264 269884 272827 539768 545654 742181 1091308 1484362 1549357 2182616 2968724 3001097 3098714 5937448 6002194 6197428 12004388 12394856 17042927 24008776 34085854 68171708 136343416 168879913 337759826 675519652 1351039304 1857679043 3715358086 7430716172 14861432344