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14238078660 = 223251331196279
BaseRepresentation
bin11010100001010011…
…11101011011000100
31100202021110100002200
431100221331123010
5213124422004120
610312455234500
71012555446261
oct152051753304
940667410080
1014238078660
11604702a263
122914378a30
13145ba39320
14990d6c268
15584eaee90
hex350a7d6c4

14238078660 has 144 divisors (see below), whose sum is σ = 48011658240. Its totient is φ = 3391683840.

The previous prime is 14238078611. The next prime is 14238078661. The reversal of 14238078660 is 6687083241.

14238078660 is a `hidden beast` number, since 142 + 380 + 78 + 6 + 60 = 666.

14238078660 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 (45).

It is not an unprimeable number, because it can be changed into a prime (14238078661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25600 + ... + 170679.

Almost surely, 214238078660 is an apocalyptic number.

14238078660 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 14238078660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24005829120).

14238078660 is an abundant number, since it is smaller than the sum of its proper divisors (33773579580).

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

14238078660 is a wasteful number, since it uses less digits than its factorization.

14238078660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196338 (or 196333 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14238078660 in words is "fourteen billion, two hundred thirty-eight million, seventy-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 36270 72540 196279 392558 588837 785116 981395 1177674 1766511 1962790 2355348 2551627 2944185 3533022 3925580 5103254 5888370 6084649 7066044 7654881 8832555 10206508 11776740 12169298 12758135 15309762 17665110 18253947 22964643 24338596 25516270 30423245 30619524 35330220 36507894 38274405 45929286 51032540 54761841 60846490 73015788 76548810 79100437 91269735 91858572 109523682 114823215 121692980 153097620 158200874 182539470 219047364 229646430 237301311 273809205 316401748 365078940 395502185 459292860 474602622 547618410 711903933 791004370 949205244 1095236820 1186506555 1423807866 1582008740 2373013110 2847615732 3559519665 4746026220 7119039330 14238078660