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14052917025 = 32527211292
BaseRepresentation
bin11010001011001111…
…00111111100100001
31100021101001011002100
431011213213330201
5212240021321100
610242242441013
71005146552400
oct150547477441
940241034070
1014052917025
115a61561614
122882363169
13142c578c24
1497452d637
15573ad7400
hex3459e7f21

14052917025 has 81 divisors (see below), whose sum is σ = 29305735641. Its totient is φ = 6418500480.

The previous prime is 14052917003. The next prime is 14052917033. The reversal of 14052917025 is 52071925041.

The square root of 14052917025 is 118545.

It is a perfect power (a square), and thus also a powerful number.

14052917025 is a `hidden beast` number, since 1 + 40 + 529 + 1 + 70 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4899020049 + 9153896976 = 69993^2 + 95676^2 .

It is not a de Polignac number, because 14052917025 - 219 = 14052392737 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12446661 + ... + 12447789.

Almost surely, 214052917025 is an apocalyptic number.

14052917025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14052917025 is the 118545-th square number.

14052917025 is the 59273-rd centered octagonal number.

It is an amenable number.

14052917025 is an abundant number, since it is smaller than the sum of its proper divisors (15252818616).

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

14052917025 is an equidigital number, since it uses as much as digits as its factorization.

14052917025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 14052917025 by its sum of digits (36), we get a square (505905012900 = 7112702).

The spelling of 14052917025 in words is "fourteen billion, fifty-two million, nine hundred seventeen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1129 1225 1575 2205 3387 3675 5645 7903 10161 11025 16935 23709 28225 39515 50805 55321 71127 84675 118545 165963 197575 254025 276605 355635 497889 592725 829815 1274641 1383025 1778175 2489445 3823923 4149075 6373205 8922487 11471769 12447225 19119615 26767461 31866025 44612435 57358845 62457409 80302383 95598075 133837305 187372227 223062175 286794225 312287045 401511915 562116681 669186525 936861135 1561435225 2007559575 2810583405 4684305675 14052917025