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14004531252 = 223217157145753
BaseRepresentation
bin11010000101011110…
…00011000000110100
31100010222222220021200
431002233003000310
5212140130000002
610233353412500
71004021360115
oct150257030064
940128886250
1014004531252
115a37213678
12286a10a130
1314225374aa
1496bd3620c
1556e72ab1c
hex342bc3034

14004531252 has 72 divisors (see below), whose sum is σ = 37721718216. Its totient is φ = 4365563904.

The previous prime is 14004531251. The next prime is 14004531293. The reversal of 14004531252 is 25213540041.

14004531252 is a `hidden beast` number, since 1 + 400 + 4 + 5 + 3 + 1 + 252 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2150547876 + 11853983376 = 46374^2 + 108876^2 .

It is a super-2 number, since 2×140045312522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004531251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23208 + ... + 168960.

It is an arithmetic number, because the mean of its divisors is an integer number (523912753).

Almost surely, 214004531252 is an apocalyptic number.

14004531252 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 14004531252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860859108).

14004531252 is an abundant number, since it is smaller than the sum of its proper divisors (23717186964).

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

14004531252 is a wasteful number, since it uses less digits than its factorization.

14004531252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145937 (or 145932 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14004531252 in words is "fourteen billion, four million, five hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 306 314 471 612 628 942 1413 1884 2669 2826 5338 5652 8007 10676 16014 24021 32028 48042 96084 145753 291506 437259 583012 874518 1311777 1749036 2477801 2623554 4955602 5247108 7433403 9911204 14866806 22300209 22883221 29733612 44600418 45766442 68649663 89200836 91532884 137299326 205948989 274598652 389014757 411897978 778029514 823795956 1167044271 1556059028 2334088542 3501132813 4668177084 7002265626 14004531252