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14135530360 = 2357532693541
BaseRepresentation
bin11010010101000101…
…10001001101111000
31100111010111100021111
431022202301031320
5212422143432420
610254353250104
71010202011530
oct151242611570
940433440244
1014135530360
115aa41581a6
1228a5b63934
131443712963
149814b64c0
1557aea545a
hex34a8b1378

14135530360 has 128 divisors (see below), whose sum is σ = 37182499200. Its totient is φ = 4736010240.

The previous prime is 14135530327. The next prime is 14135530363. The reversal of 14135530360 is 6303553141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135530363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3990190 + ... + 3993730.

It is an arithmetic number, because the mean of its divisors is an integer number (290488275).

Almost surely, 214135530360 is an apocalyptic number.

14135530360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135530360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18591249600).

14135530360 is an abundant number, since it is smaller than the sum of its proper divisors (23046968840).

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

14135530360 is a wasteful number, since it uses less digits than its factorization.

14135530360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 14135530360 in words is "fourteen billion, one hundred thirty-five million, five hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 269 280 371 424 530 538 742 1060 1076 1345 1484 1855 1883 2120 2152 2690 2968 3541 3710 3766 5380 7082 7420 7532 9415 10760 14164 14257 14840 15064 17705 18830 24787 28328 28514 35410 37660 49574 57028 70820 71285 75320 99148 99799 114056 123935 141640 142570 187673 198296 199598 247870 285140 375346 399196 495740 498995 570280 750692 798392 938365 952529 991480 997990 1313711 1501384 1876730 1905058 1995980 2627422 3753460 3810116 3991960 4762645 5254844 6568555 6667703 7506920 7620232 9525290 10509688 13137110 13335406 19050580 26274220 26670812 33338515 38101160 50484037 52548440 53341624 66677030 100968074 133354060 201936148 252420185 266708120 353388259 403872296 504840370 706776518 1009680740 1413553036 1766941295 2019361480 2827106072 3533882590 7067765180 14135530360