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14199641928 = 2333232858221
BaseRepresentation
bin11010011100101110…
…10101011101001000
31100122121010112211000
431032113111131020
5213040102020203
610305003335000
71011610651653
oct151627253510
940577115730
1014199641928
11602736716a
122903521460
131453a9c1b4
14989c0489a
1558191b4a3
hex34e5d5748

14199641928 has 64 divisors (see below), whose sum is σ = 41158396800. Its totient is φ = 4527420480.

The previous prime is 14199641921. The next prime is 14199641987. The reversal of 14199641928 is 82914699141.

14199641928 is a `hidden beast` number, since 14 + 199 + 6 + 419 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14199641921) 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, 1424143 + ... + 1434078.

It is an arithmetic number, because the mean of its divisors is an integer number (643099950).

Almost surely, 214199641928 is an apocalyptic number.

14199641928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14199641928 is an abundant number, since it is smaller than the sum of its proper divisors (26958754872).

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

14199641928 is a wasteful number, since it uses less digits than its factorization.

14199641928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858259 (or 2858249 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 14199641928 in words is "fourteen billion, one hundred ninety-nine million, six hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 2858221 5716442 8574663 11432884 17149326 22865768 25723989 34298652 51447978 65739083 68597304 77171967 102895956 131478166 154343934 197217249 205791912 262956332 308687868 394434498 525912664 591651747 617375736 788868996 1183303494 1577737992 1774955241 2366606988 3549910482 4733213976 7099820964 14199641928