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14032000116 = 22331071214261
BaseRepresentation
bin11010001000101111…
…10101010001110100
31100012220200110111000
431010113311101310
5212214143000431
610240214243300
71004504014221
oct150427652164
940186613430
1014032000116
115a50775412
122877356530
131428134364
14971846948
15571d549e6
hex3445f5474

14032000116 has 48 divisors (see below), whose sum is σ = 36719282880. Its totient is φ = 4633616160.

The previous prime is 14032000111. The next prime is 14032000121. The reversal of 14032000116 is 61100023041.

It is a happy number.

14032000116 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 (14032000111) and next prime (14032000121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032000111) 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 15 ways as a sum of consecutive naturals, for example, 595575 + ... + 618686.

It is an arithmetic number, because the mean of its divisors is an integer number (764985060).

Almost surely, 214032000116 is an apocalyptic number.

It is an amenable number.

14032000116 is an abundant number, since it is smaller than the sum of its proper divisors (22687282764).

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

14032000116 is a wasteful number, since it uses less digits than its factorization.

14032000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214381 (or 1214373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14032000116 its reverse (61100023041), we get a palindrome (75132023157).

The spelling of 14032000116 in words is "fourteen billion, thirty-two million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 1214261 2428522 3642783 4857044 7285566 10928349 14571132 21856698 32785047 43713396 65570094 129925927 131140188 259851854 389777781 519703708 779555562 1169333343 1559111124 2338666686 3508000029 4677333372 7016000058 14032000116