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14325024312 = 2334192350587
BaseRepresentation
bin11010101011101011…
…01000011000111000
31100222100001122010000
431111311220120320
5213314201234222
610325242553000
71014662461164
oct152565503070
940870048100
1014325024312
116091114875
122939508760
131473a5bc61
1499c721ca4
1558c9369ac
hex355d68638

14325024312 has 160 divisors (see below), whose sum is σ = 44072265600. Its totient is φ = 4326924096.

The previous prime is 14325024251. The next prime is 14325024349. The reversal of 14325024312 is 21342052341.

14325024312 is a `hidden beast` number, since 1 + 4 + 325 + 0 + 24 + 312 = 666.

14325024312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 257883 + ... + 308469.

It is an arithmetic number, because the mean of its divisors is an integer number (275451660).

Almost surely, 214325024312 is an apocalyptic number.

14325024312 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 14325024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036132800).

14325024312 is an abundant number, since it is smaller than the sum of its proper divisors (29747241288).

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

14325024312 is a wasteful number, since it uses less digits than its factorization.

14325024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50647 (or 50634 counting only the distinct ones).

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

Adding to 14325024312 its reverse (21342052341), we get a palindrome (35667076653).

The spelling of 14325024312 in words is "fourteen billion, three hundred twenty-five million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 138 152 162 171 184 207 216 228 276 324 342 414 437 456 513 552 621 648 684 828 874 1026 1242 1311 1368 1539 1656 1748 1863 2052 2484 2622 3078 3496 3726 3933 4104 4968 5244 6156 7452 7866 10488 11799 12312 14904 15732 23598 31464 35397 47196 50587 70794 94392 101174 141588 151761 202348 283176 303522 404696 455283 607044 910566 961153 1163501 1214088 1365849 1821132 1922306 2327002 2731698 2883459 3490503 3642264 3844612 4097547 4654004 5463396 5766918 6981006 7689224 8195094 8650377 9308008 10471509 10926792 11533836 13962012 16390188 17300754 20943018 22106519 23067672 25951131 27924024 31414527 32780376 34601508 41886036 44213038 51902262 62829054 66319557 69203016 77853393 83772072 88426076 94243581 103804524 125658108 132639114 155706786 176852152 188487162 198958671 207609048 251316216 265278228 311413572 376974324 397917342 530556456 596876013 622827144 753948648 795834684 1193752026 1591669368 1790628039 2387504052 3581256078 4775008104 7162512156 14325024312