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14135243256 = 2334127171761
BaseRepresentation
bin11010010101000011…
…01011000111111000
31100111002221202110000
431022201223013320
5212422110241011
610254343153000
71010166404511
oct151241530770
940432852400
1014135243256
115aa3a81522
1228a5a45760
131443642084
1498143da08
1557ae4a356
hex34a86b1f8

14135243256 has 80 divisors (see below), whose sum is σ = 39903747840. Its totient is φ = 4674620160.

The previous prime is 14135243233. The next prime is 14135243263. The reversal of 14135243256 is 65234253141.

14135243256 is a `hidden beast` number, since 14 + 1 + 352 + 43 + 256 = 666.

14135243256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14135243256.

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 19 ways as a sum of consecutive naturals, for example, 3585 + ... + 168176.

It is an arithmetic number, because the mean of its divisors is an integer number (498796848).

Almost surely, 214135243256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135243256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951873920).

14135243256 is an abundant number, since it is smaller than the sum of its proper divisors (25768504584).

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

14135243256 is a wasteful number, since it uses less digits than its factorization.

14135243256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171906 (or 171893 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 14135243256 its reverse (65234253141), we get a palindrome (79369496397).

The spelling of 14135243256 in words is "fourteen billion, one hundred thirty-five million, two hundred forty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 82296 171761 343522 515283 687044 1030566 1374088 1545849 2061132 3091698 4122264 4637547 6183396 9275094 12366792 13912641 18550188 21813647 27825282 37100376 43627294 55650564 65440941 87254588 111301128 130881882 174509176 196322823 261763764 392645646 523527528 588968469 785291292 1177936938 1570582584 1766905407 2355873876 3533810814 4711747752 7067621628 14135243256