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14441131032 = 23317191862891
BaseRepresentation
bin11010111001100001…
…00010110000011000
31101021102112110120220
431130300202300120
5214033412143112
610344551320040
71020602405556
oct153460426030
941242473526
1014441131032
116140707539
122970380020
131491b21a63
149add06bd6
15597c1d98c
hex35cc22c18

14441131032 has 64 divisors (see below), whose sum is σ = 40238467200. Its totient is φ = 4292098560.

The previous prime is 14441131027. The next prime is 14441131093. The reversal of 14441131032 is 23013114441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14441130993 and 14441131011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923694 + ... + 939197.

It is an arithmetic number, because the mean of its divisors is an integer number (628726050).

Almost surely, 214441131032 is an apocalyptic number.

14441131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14441131032 is an abundant number, since it is smaller than the sum of its proper divisors (25797336168).

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

14441131032 is a wasteful number, since it uses less digits than its factorization.

14441131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862936 (or 1862932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14441131032 its reverse (23013114441), we get a palindrome (37454245473).

The spelling of 14441131032 in words is "fourteen billion, four hundred forty-one million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 1862891 3725782 5588673 7451564 11177346 14903128 22354692 31669147 35394929 44709384 63338294 70789858 95007441 106184787 126676588 141579716 190014882 212369574 253353176 283159432 380029764 424739148 601713793 760059528 849478296 1203427586 1805141379 2406855172 3610282758 4813710344 7220565516 14441131032