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13430455250250 = 235359523580331
BaseRepresentation
bin1100001101110000010110…
…0000111010110101001010
31202112221100111222220120210
43003130011200322311022
53230021033021002000
644321511014301550
72554214126015433
oct303340540726512
952487314886523
1013430455250250
1143089079483a5
12160aab43578b6
13765642aa619c
14346074c9a48a
15184554b33350
hexc370583ad4a

13430455250250 has 128 divisors (see below), whose sum is σ = 34155834485760. Its totient is φ = 3514014216000.

The previous prime is 13430455250207. The next prime is 13430455250281. The reversal of 13430455250250 is 5205255403431.

It is a junction number, because it is equal to n+sod(n) for n = 13430455250199 and 13430455250208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22852585 + ... + 23432915.

It is an arithmetic number, because the mean of its divisors is an integer number (266842456920).

Almost surely, 213430455250250 is an apocalyptic number.

13430455250250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430455250250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077917242880).

13430455250250 is an abundant number, since it is smaller than the sum of its proper divisors (20725379235510).

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

13430455250250 is a wasteful number, since it uses less digits than its factorization.

13430455250250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580933 (or 580923 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 13430455250250 in words is "thirteen trillion, four hundred thirty billion, four hundred fifty-five million, two hundred fifty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 125 150 177 250 295 354 375 523 590 750 885 1046 1475 1569 1770 2615 2950 3138 4425 5230 7375 7845 8850 13075 14750 15690 22125 26150 30857 39225 44250 61714 65375 78450 92571 130750 154285 185142 196125 308570 392250 462855 580331 771425 925710 1160662 1542850 1740993 2314275 2901655 3481986 3857125 4628550 5803310 7714250 8704965 11571375 14508275 17409930 23142750 29016550 34239529 43524825 68479058 72541375 87049650 102718587 145082750 171197645 205437174 217624125 303513113 342395290 435248250 513592935 607026226 855988225 910539339 1027185870 1517565565 1711976450 1821078678 2567964675 3035131130 4279941125 4552696695 5135929350 7587827825 8559882250 9105393390 12839823375 15175655650 17907273667 22763483475 25679646750 35814547334 37939139125 45526966950 53721821001 75878278250 89536368335 107443642002 113817417375 179072736670 227634834750 268609105005 447681841675 537218210010 895363683350 1343045525025 2238409208375 2686091050050 4476818416750 6715227625125 13430455250250