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14111944 = 2371131739
BaseRepresentation
bin110101110101…
…010011001000
3222112221221121
4311311103020
512103040234
61222245024
7230643460
oct65652310
928487847
1014111944
117a69570
124886774
132c01382
141c34ba0
15138b4b4
hexd754c8

14111944 has 64 divisors (see below), whose sum is σ = 34099200. Its totient is φ = 5313600.

The previous prime is 14111941. The next prime is 14111953. The reversal of 14111944 is 44911141.

14111944 = 1232 + 1242 + ... + 3532.

It is a happy number.

14111944 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 not an unprimeable number, because it can be changed into a prime (14111941) 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, 18727 + ... + 19465.

It is an arithmetic number, because the mean of its divisors is an integer number (532800).

Almost surely, 214111944 is an apocalyptic number.

14111944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049600).

14111944 is an abundant number, since it is smaller than the sum of its proper divisors (19987256).

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

14111944 is a wasteful number, since it uses less digits than its factorization.

14111944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 14111944 is about 3756.5867486323. The cubic root of 14111944 is about 241.6549050690.

The spelling of 14111944 in words is "fourteen million, one hundred eleven thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 739 868 1364 1478 1736 2387 2728 2956 4774 5173 5912 8129 9548 10346 16258 19096 20692 22909 32516 41384 45818 56903 65032 91636 113806 160363 183272 227612 251999 320726 455224 503998 641452 1007996 1282904 1763993 2015992 3527986 7055972 14111944