Search a number
-
+
14104434344 = 23711132277759
BaseRepresentation
bin11010010001011000…
…01001011010101000
31100101221222111120012
431020230021122220
5212341213344334
610251322551052
71006343466560
oct151054113250
940357874505
1014104434344
115a88649310
122897668488
13143a145b50
1497b2ddda0
155783b19ce
hex348b096a8

14104434344 has 128 divisors (see below), whose sum is σ = 35668684800. Its totient is φ = 5049527040.

The previous prime is 14104434259. The next prime is 14104434367. The reversal of 14104434344 is 44343440141.

It is a self number, because there is not a number n which added to its sum of digits gives 14104434344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813937 + ... + 1821695.

It is an arithmetic number, because the mean of its divisors is an integer number (278661600).

Almost surely, 214104434344 is an apocalyptic number.

14104434344 is a gapful number since it is divisible by the number (14) 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 14104434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834342400).

14104434344 is an abundant number, since it is smaller than the sum of its proper divisors (21564250456).

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

14104434344 is a wasteful number, since it uses less digits than its factorization.

14104434344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14104434344 its reverse (44343440141), we get a palindrome (58447874485).

The spelling of 14104434344 in words is "fourteen billion, one hundred four million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 227 286 308 364 454 572 616 728 908 1001 1144 1589 1816 2002 2497 2951 3178 4004 4994 5902 6356 7759 8008 9988 11804 12712 15518 17479 19976 20657 23608 31036 32461 34958 41314 54313 62072 64922 69916 82628 85349 100867 108626 129844 139832 165256 170698 201734 217252 227227 259688 341396 403468 434504 454454 597443 682792 706069 806936 908908 1109537 1194886 1412138 1761293 1817816 2219074 2389772 2824276 3522586 4438148 4779544 5648552 7045172 7766759 8876296 12329051 14090344 15533518 19374223 22896809 24658102 31067036 38748446 45793618 49316204 62134072 77496892 91587236 98632408 135619561 154993784 160277663 183174472 251864899 271239122 320555326 503729798 542478244 641110652 1007459596 1084956488 1282221304 1763054293 2014919192 3526108586 7052217172 14104434344