Search a number
-
+
14015254352 = 24114189139157
BaseRepresentation
bin11010000110101111…
…11100111101010000
31100011202011200121112
431003113330331100
5212200401114402
610234415312452
71004211460601
oct150327747520
940152150545
1014015254352
115a42278040
12287181b728
131424820218
1496d527da8
15570647e52
hex3435fcf50

14015254352 has 160 divisors (see below), whose sum is σ = 31104259200. Its totient is φ = 6062284800.

The previous prime is 14015254343. The next prime is 14015254381. The reversal of 14015254352 is 25345251041.

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 31 ways as a sum of consecutive naturals, for example, 89269058 + ... + 89269214.

It is an arithmetic number, because the mean of its divisors is an integer number (194401620).

Almost surely, 214015254352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14015254352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552129600).

14015254352 is an abundant number, since it is smaller than the sum of its proper divisors (17089004848).

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

14015254352 is a wasteful number, since it uses less digits than its factorization.

14015254352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 14015254352 in words is "fourteen billion, fifteen million, two hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 89 139 157 164 176 178 278 314 328 356 451 556 628 656 712 902 979 1112 1256 1424 1529 1727 1804 1958 2224 2512 3058 3454 3608 3649 3916 5699 6116 6437 6908 7216 7298 7832 11398 12232 12371 12874 13816 13973 14596 15664 21823 22796 24464 24742 25748 27632 27946 29192 40139 43646 45592 49484 51496 55892 58384 62689 70807 80278 87292 91184 98968 102992 111784 125378 136081 141614 153703 160556 174584 197936 223568 240053 250756 272162 283228 307406 321112 349168 480106 501512 507211 544324 566456 572893 614812 642224 894743 960212 1003024 1014422 1088648 1132912 1145786 1229624 1789486 1920424 1942247 2028844 2177296 2291572 2459248 3578972 3840848 3884494 4057688 4583144 5579321 6301823 7157944 7768988 8115376 9166288 9842173 11158642 12603646 14315888 15537976 19684346 21364717 22317284 25207292 31075952 39368692 42729434 44634568 50414584 78737384 79632127 85458868 89269136 100829168 157474768 159264254 170917736 318528508 341835472 637057016 875953397 1274114032 1751906794 3503813588 7007627176 14015254352