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14323313520 = 2432523338527
BaseRepresentation
bin11010101011011110…
…00110101101110000
31100222012211201100100
431111233012231300
5213313232013040
610325142152400
71014642104355
oct152557065560
940865751310
1014323313520
11609015649a
122938a22700
1314735b0359
1499c3d862c
1558c6e9b30
hex355bc6b70

14323313520 has 120 divisors (see below), whose sum is σ = 48128723136. Its totient is φ = 3817465344.

The previous prime is 14323313491. The next prime is 14323313539. The reversal of 14323313520 is 2531332341.

14323313520 is a `hidden beast` number, since 1 + 4 + 323 + 313 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675497 + ... + 1684023.

Almost surely, 214323313520 is an apocalyptic number.

14323313520 is a gapful number since it is divisible by the number (10) 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 14323313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064361568).

14323313520 is an abundant number, since it is smaller than the sum of its proper divisors (33805409616).

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

14323313520 is a wasteful number, since it uses less digits than its factorization.

14323313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 14323313520 its reverse (2531332341), we get a palindrome (16854645861).

The spelling of 14323313520 in words is "fourteen billion, three hundred twenty-three million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2333 4666 6999 8527 9332 11665 13998 17054 18664 20997 23330 25581 27996 34108 34995 37328 41994 42635 46660 51162 55992 68216 69990 76743 83988 85270 93320 102324 104985 111984 127905 136432 139980 153486 167976 170540 186640 204648 209970 255810 279960 306972 335952 341080 383715 409296 419940 511620 559920 613944 682160 767430 839880 1023240 1227888 1534860 1679760 2046480 3069720 6139440 19893491 39786982 59680473 79573964 99467455 119360946 159147928 179041419 198934910 238721892 298402365 318295856 358082838 397869820 477443784 596804730 716165676 795739640 895207095 954887568 1193609460 1432331352 1591479280 1790414190 2387218920 2864662704 3580828380 4774437840 7161656760 14323313520