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14045255325 = 32522359157293
BaseRepresentation
bin11010001010010100…
…11001011010011101
31100020211121220012200
431011022121122131
5212231041132300
610241410322113
71005024462153
oct150512313235
940224556180
1014045255325
115a581a9232
12287b889339
13142aac578a
149734d73d3
155730c2200
hex34529969d

14045255325 has 144 divisors (see below), whose sum is σ = 26957024640. Its totient is φ = 6974922240.

The previous prime is 14045255317. The next prime is 14045255333. The reversal of 14045255325 is 52355254041.

14045255325 is a `hidden beast` number, since 1 + 40 + 45 + 2 + 553 + 25 = 666.

14045255325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14045255317) and next prime (14045255333).

It is not a de Polignac number, because 14045255325 - 23 = 14045255317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14045255325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47935879 + ... + 47936171.

It is an arithmetic number, because the mean of its divisors is an integer number (187201560).

Almost surely, 214045255325 is an apocalyptic number.

14045255325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14045255325 is a deficient number, since it is larger than the sum of its proper divisors (12911769315).

14045255325 is a wasteful number, since it uses less digits than its factorization.

14045255325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 14045255325 in words is "fourteen billion, forty-five million, two hundred fifty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 59 69 75 115 157 177 207 225 293 295 345 471 531 575 785 879 885 1035 1357 1413 1465 1475 1725 2355 2637 2655 3611 3925 4071 4395 4425 5175 6739 6785 7065 7325 9263 10833 11775 12213 13185 13275 17287 18055 20217 20355 21975 27789 32499 33695 33925 35325 46001 46315 51861 54165 60651 61065 65925 83367 86435 90275 101085 101775 138003 138945 155583 162495 168475 213049 230005 231575 259305 270825 303255 305325 397601 414009 416835 432175 505425 639147 690015 694725 777915 812475 1058023 1065245 1150025 1192803 1296525 1516275 1917441 1988005 2070045 2084175 2714059 3174069 3195735 3450075 3578409 3889575 5290115 5326225 5964015 8142177 9522207 9587205 9940025 10350225 13570295 15870345 15978675 17892045 24426531 26450575 29820075 40710885 47611035 47936025 62423357 67851475 79351725 89460225 122132655 187270071 203554425 238055175 312116785 561810213 610663275 936350355 1560583925 2809051065 4681751775 14045255325