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13719905424 = 24324322272
BaseRepresentation
bin11001100011100010…
…10010010010010000
31022102011102102001100
430301301102102100
5211044243433144
610145225104400
7663664162161
oct146161222220
938364372040
1013719905424
115900590015
1227aa928100
1313a8590444
14942205768
15554757269
hex331c52490

13719905424 has 135 divisors (see below), whose sum is σ = 39484328403. Its totient is φ = 4447267776.

The previous prime is 13719905393. The next prime is 13719905447. The reversal of 13719905424 is 42450991731.

The square root of 13719905424 is 117132.

It is a perfect power (a square), and thus also a powerful number.

13719905424 is a `hidden beast` number, since 1 + 3 + 7 + 19 + 90 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13719905424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60439999 + ... + 60440225.

Almost surely, 213719905424 is an apocalyptic number.

13719905424 is the 117132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13719905424

13719905424 is an abundant number, since it is smaller than the sum of its proper divisors (25764422979).

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

13719905424 is an equidigital number, since it uses as much as digits as its factorization.

13719905424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13719905424 in words is "thirteen billion, seven hundred nineteen million, nine hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 227 258 344 387 454 516 681 688 774 908 1032 1362 1548 1816 1849 2043 2064 2724 3096 3632 3698 4086 5448 5547 6192 7396 8172 9761 10896 11094 14792 16344 16641 19522 22188 29283 29584 32688 33282 39044 44376 51529 58566 66564 78088 87849 88752 103058 117132 133128 154587 156176 175698 206116 234264 266256 309174 351396 412232 419723 463761 468528 618348 702792 824464 839446 927522 1236696 1259169 1405584 1678892 1855044 2215747 2473392 2518338 3357784 3710088 3777507 4431494 5036676 6647241 6715568 7420176 7555014 8862988 10073352 13294482 15110028 17725976 19941723 20146704 26588964 30220056 35451952 39883446 53177928 60440112 79766892 95277121 106355856 159533784 190554242 285831363 319067568 381108484 571662726 762216968 857494089 1143325452 1524433936 1714988178 2286650904 3429976356 4573301808 6859952712 13719905424