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14004242532 = 22327237920947
BaseRepresentation
bin11010000101011011…
…11100100001100100
31100010222110020020100
431002231330201210
5212140041230112
610233343304100
71004016045300
oct150255744144
940128406210
1014004242532
115a37036765
122869bab030
131422465c57
1496bc9cd00
1556e6c02dc
hex342b7c864

14004242532 has 108 divisors (see below), whose sum is σ = 41289764880. Its totient is φ = 3990464352.

The previous prime is 14004242503. The next prime is 14004242561. The reversal of 14004242532 is 23524240041.

14004242532 is a `hidden beast` number, since 1 + 400 + 4 + 2 + 4 + 253 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14004242503) and next prime (14004242561).

It is a super-2 number, since 2×140042425322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14004242496 and 14004242505.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 658083 + ... + 679029.

Almost surely, 214004242532 is an apocalyptic number.

14004242532 is a gapful number since it is divisible by the number (12) 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 14004242532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644882440).

14004242532 is an abundant number, since it is smaller than the sum of its proper divisors (27285522348).

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

14004242532 is a wasteful number, since it uses less digits than its factorization.

14004242532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21338 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14004242532 its reverse (23524240041), we get a palindrome (37528482573).

The spelling of 14004242532 in words is "fourteen billion, four million, two hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 379 441 588 758 882 1137 1516 1764 2274 2653 3411 4548 5306 6822 7959 10612 13644 15918 18571 20947 23877 31836 37142 41894 47754 55713 62841 74284 83788 95508 111426 125682 146629 167139 188523 222852 251364 293258 334278 377046 439887 586516 668556 754092 879774 1026403 1319661 1759548 2052806 2639322 3079209 4105612 5278644 6158418 7938913 9237627 12316836 15877826 18475254 23816739 31755652 36950508 47633478 55572391 71450217 95266956 111144782 142900434 166717173 222289564 285800868 333434346 389006737 500151519 666868692 778013474 1000303038 1167020211 1556026948 2000606076 2334040422 3501060633 4668080844 7002121266 14004242532