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13014404352 = 28334394289
BaseRepresentation
bin11000001111011100…
…00000110100000000
31020120222220020112000
430013232000310000
5203123141414402
65551223504000
7640336416555
oct140756006400
936528806460
1013014404352
115579323684
1226325b8000
1312c53761a1
148b6638a2c
15512849c1c
hex307b80d00

13014404352 has 144 divisors (see below), whose sum is σ = 38582544000. Its totient is φ = 4327243776.

The previous prime is 13014404339. The next prime is 13014404411. The reversal of 13014404352 is 25340441031.

It is a happy number.

13014404352 is a `hidden beast` number, since 1 + 301 + 4 + 4 + 0 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×130144043523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3032224 + ... + 3036512.

Almost surely, 213014404352 is an apocalyptic number.

13014404352 is a gapful number since it is divisible by the number (12) 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 13014404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19291272000).

13014404352 is an abundant number, since it is smaller than the sum of its proper divisors (25568139648).

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

13014404352 is an equidigital number, since it uses as much as digits as its factorization.

13014404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13014404352 its reverse (25340441031), we get a palindrome (38354845383).

The spelling of 13014404352 in words is "thirteen billion, fourteen million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 439 576 768 864 878 1152 1317 1728 1756 2304 2634 3456 3512 3951 4289 5268 6912 7024 7902 8578 10536 11853 12867 14048 15804 17156 21072 23706 25734 28096 31608 34312 38601 42144 47412 51468 56192 63216 68624 77202 84288 94824 102936 112384 115803 126432 137248 154404 168576 189648 205872 231606 252864 274496 308808 337152 379296 411744 463212 505728 548992 617616 758592 823488 926424 1011456 1097984 1235232 1517184 1646976 1852848 1882871 2470464 3034368 3293952 3705696 3765742 4940928 5648613 7411392 7531484 9881856 11297226 14822784 15062968 16945839 22594452 29645568 30125936 33891678 45188904 50837517 60251872 67783356 90377808 101675034 120503744 135566712 180755616 203350068 241007488 271133424 361511232 406700136 482014976 542266848 723022464 813400272 1084533696 1446044928 1626800544 2169067392 3253601088 4338134784 6507202176 13014404352