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13430504055424 = 2719311091634333
BaseRepresentation
bin1100001101110000100001…
…1011000110001010000000
31202112221110220211110200211
43003130020123012022000
53230021133014233144
644321515520323504
72554215260605531
oct303341033061200
952487426743624
1013430504055424
114308932452455
12160ab08773594
1376564cc337a1
1434607b562688
15184559074034
hexc37086c6280

13430504055424 has 128 divisors (see below), whose sum is σ = 29339563968000. Its totient is φ = 6100111503360.

The previous prime is 13430504055401. The next prime is 13430504055433. The reversal of 13430504055424 is 42455040503431.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400562 + ... + 9034894.

It is an arithmetic number, because the mean of its divisors is an integer number (229215343500).

Almost surely, 213430504055424 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 13430504055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669781984000).

13430504055424 is an abundant number, since it is smaller than the sum of its proper divisors (15909059912576).

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

13430504055424 is a wasteful number, since it uses less digits than its factorization.

13430504055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634506 (or 1634494 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 13430504055424 its reverse (42455040503431), we get a palindrome (55885544558855).

The spelling of 13430504055424 in words is "thirteen trillion, four hundred thirty billion, five hundred four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 109 124 128 152 218 248 304 436 496 589 608 872 992 1178 1216 1744 1984 2071 2356 2432 3379 3488 3968 4142 4712 6758 6976 8284 9424 13516 13952 16568 18848 27032 33136 37696 54064 64201 66272 75392 108128 128402 132544 216256 256804 265088 432512 513608 1027216 1634333 2054432 3268666 4108864 6537332 8217728 13074664 26149328 31052327 50664323 52298656 62104654 101328646 104597312 124209308 178142297 202657292 209194624 248418616 356284594 405314584 496837232 712569188 810629168 962622137 993674464 1425138376 1621258336 1925244274 1987348928 2850276752 3242516672 3384703643 3850488548 3974697856 5522411207 5700553504 6485033344 6769407286 7700977096 11044822414 11401107008 13538814572 15401954192 22089644828 22802214016 27077629144 30803908384 44179289656 54155258288 61607816768 88358579312 104925812933 108310516576 123215633536 176717158624 209851625866 216621033152 353434317248 419703251732 433242066304 706868634496 839406503464 1678813006928 3357626013856 6715252027712 13430504055424