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14032066815 = 32513173174451
BaseRepresentation
bin11010001000110000…
…00101100011111111
31100012220210211222100
431010120011203333
5212214202114230
610240215520143
71004504412534
oct150430054377
940186724870
1014032066815
115a50810538
122877389053
131428158820
14971862d8b
15571d69660
hex3446058ff

14032066815 has 96 divisors (see below), whose sum is σ = 27827706816. Its totient is φ = 6479769600.

The previous prime is 14032066733. The next prime is 14032066859. The reversal of 14032066815 is 51866023041.

It is a happy number.

14032066815 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 14032066815 - 29 = 14032066303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14032066815.

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 95 ways as a sum of consecutive naturals, for example, 3150340 + ... + 3154790.

It is an arithmetic number, because the mean of its divisors is an integer number (289871946).

Almost surely, 214032066815 is an apocalyptic number.

14032066815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14032066815 is a deficient number, since it is larger than the sum of its proper divisors (13795640001).

14032066815 is a wasteful number, since it uses less digits than its factorization.

14032066815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 14032066815 its reverse (51866023041), we get a palindrome (65898089856).

The spelling of 14032066815 in words is "fourteen billion, thirty-two million, sixty-six thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 317 585 663 765 951 1105 1585 1989 2853 3315 4121 4451 4755 5389 9945 12363 13353 14265 16167 20605 22255 26945 37089 40059 48501 57863 61815 66765 70057 75667 80835 173589 185445 200295 210171 227001 242505 289315 350285 378335 520767 630513 681003 867945 983671 1050855 1135005 1410967 2603835 2951013 3152565 3405015 4232901 4918355 7054835 8853039 12698703 14755065 18342571 21164505 23986439 44265195 55027713 63493515 71959317 91712855 119932195 165083139 215877951 275138565 311823707 359796585 825415695 935471121 1079389755 1559118535 2806413363 4677355605 14032066815