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14238267760 = 2452323110853
BaseRepresentation
bin11010100001010101…
…01011100101110000
31100202021210221111101
431100222223211300
5213124444032020
610312503254144
71012560164503
oct152052534560
940667727441
1014238267760
116047149342
12291444a354
13145baa4412
14990dbb13a
15584eeb00a
hex350aab970

14238267760 has 120 divisors (see below), whose sum is σ = 35725463424. Its totient is φ = 5271467520.

The previous prime is 14238267683. The next prime is 14238267773. The reversal of 14238267760 is 6776283241.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 14238267760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306494 + ... + 1317346.

Almost surely, 214238267760 is an apocalyptic number.

14238267760 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 14238267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862731712).

14238267760 is an abundant number, since it is smaller than the sum of its proper divisors (21487195664).

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

14238267760 is a wasteful number, since it uses less digits than its factorization.

14238267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 14238267760 in words is "fourteen billion, two hundred thirty-eight million, two hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 529 620 713 920 1058 1240 1426 1840 2116 2480 2645 2852 3565 4232 5290 5704 7130 8464 10580 10853 11408 14260 16399 21160 21706 28520 32798 42320 43412 54265 57040 65596 81995 86824 108530 131192 163990 173648 217060 249619 262384 327980 336443 434120 499238 655960 672886 868240 998476 1248095 1311920 1345772 1682215 1996952 2496190 2691544 3364430 3993904 4992380 5383088 5741237 6728860 7738189 9984760 11482474 13457720 15476378 19969520 22964948 26915440 28706185 30952756 38690945 45929896 57412370 61905512 77381890 91859792 114824740 123811024 154763780 177978347 229649480 309527560 355956694 459298960 619055120 711913388 889891735 1423826776 1779783470 2847653552 3559566940 7119133880 14238267760