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14028756525 = 345272934127
BaseRepresentation
bin11010001000010110…
…11101011000101101
31100012200120200010000
431010023131120231
5212212330202100
610240020534513
71004434314540
oct150413353055
940180520100
1014028756525
115a4995a463
122876251439
131427569b84
14971240857
15571913900
hex3442dd62d

14028756525 has 120 divisors (see below), whose sum is σ = 30723390720. Its totient is φ = 6191821440.

The previous prime is 14028756487. The next prime is 14028756527. The reversal of 14028756525 is 52565782041.

14028756525 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 87 + 565 + 2 + 5 = 666.

14028756525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14028756525 - 215 = 14028723757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14028756527) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 394012 + ... + 428138.

It is an arithmetic number, because the mean of its divisors is an integer number (256028256).

Almost surely, 214028756525 is an apocalyptic number.

14028756525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14028756525 is an abundant number, since it is smaller than the sum of its proper divisors (16694634195).

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

14028756525 is a wasteful number, since it uses less digits than its factorization.

14028756525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34185 (or 34171 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 14028756525 in words is "fourteen billion, twenty-eight million, seven hundred fifty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 63 75 81 87 105 135 145 175 189 203 225 261 315 405 435 525 567 609 675 725 783 945 1015 1305 1575 1827 2025 2175 2349 2835 3045 3915 4725 5075 5481 6525 9135 11745 14175 15225 16443 19575 27405 34127 45675 58725 82215 102381 137025 170635 238889 307143 411075 511905 716667 853175 921429 989683 1194445 1535715 2150001 2559525 2764287 2969049 3583335 4607145 4948415 5972225 6450003 6927781 7678575 8907147 10750005 13821435 14845245 17916675 19350009 20783343 23035725 24742075 26721441 32250015 34638905 44535735 53750025 62350029 69107175 74226225 80164323 96750045 103916715 133607205 161250075 173194525 187050087 222678675 311750145 400821615 483750225 519583575 561150261 668036025 935250435 1558750725 2004108075 2805751305 4676252175 14028756525