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14265144234 = 232113797537
BaseRepresentation
bin11010100100100010…
…01101001110101010
31100211011101102002100
431102101031032222
5213203334103414
610315303314230
71013334503535
oct152221151652
940734342070
1014265144234
116060336000
12292144b976
131464524763
149947b5a1c
15587559609
hex35244d3aa

14265144234 has 96 divisors (see below), whose sum is σ = 34431171840. Its totient is φ = 4267486080.

The previous prime is 14265144211. The next prime is 14265144239. The reversal of 14265144234 is 43244156241.

It is a super-3 number, since 3×142651442343 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14265144239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888914 + ... + 1896450.

It is an arithmetic number, because the mean of its divisors is an integer number (358658040).

Almost surely, 214265144234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14265144234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215585920).

14265144234 is an abundant number, since it is smaller than the sum of its proper divisors (20166027606).

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

14265144234 is a wasteful number, since it uses less digits than its factorization.

14265144234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7632 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 14265144234 in words is "fourteen billion, two hundred sixty-five million, one hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 121 158 198 237 242 363 474 711 726 869 1089 1331 1422 1738 2178 2607 2662 3993 5214 7537 7821 7986 9559 11979 15074 15642 19118 22611 23958 28677 45222 57354 67833 82907 86031 105149 135666 165814 172062 210298 248721 315447 497442 595423 630894 746163 911977 946341 1190846 1492326 1786269 1823954 1892682 2735931 3572538 5358807 5471862 6549653 8207793 10031747 10717614 13099306 16415586 19648959 20063494 30095241 39297918 58946877 60190482 72046183 90285723 117893754 144092366 180571446 216138549 432277098 648415647 792508013 1296831294 1585016026 2377524039 4755048078 7132572117 14265144234