Search a number
-
+
14024112420 = 22351935934267
BaseRepresentation
bin11010000111110011…
…01111100100100100
31100012100211201121010
431003321233210210
5212210133044140
610235333222220
71004346663063
oct150371574444
940170751533
1014024112420
115a4727825a
122874791970
131426602096
149707921da
155712e7880
hex343e6f924

14024112420 has 96 divisors (see below), whose sum is σ = 41450572800. Its totient is φ = 3532961664.

The previous prime is 14024112371. The next prime is 14024112457. The reversal of 14024112420 is 2421142041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392127 + ... + 426393.

It is an arithmetic number, because the mean of its divisors is an integer number (431776800).

Almost surely, 214024112420 is an apocalyptic number.

14024112420 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 14024112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20725286400).

14024112420 is an abundant number, since it is smaller than the sum of its proper divisors (27426460380).

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

14024112420 is a wasteful number, since it uses less digits than its factorization.

14024112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34657 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14024112420 its reverse (2421142041), we get a palindrome (16445254461).

The spelling of 14024112420 in words is "fourteen billion, twenty-four million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 359 380 570 718 1077 1140 1436 1795 2154 3590 4308 5385 6821 7180 10770 13642 20463 21540 27284 34105 34267 40926 68210 68534 81852 102315 102801 136420 137068 171335 204630 205602 342670 409260 411204 514005 651073 685340 1028010 1302146 1953219 2056020 2604292 3255365 3906438 6510730 7812876 9766095 12301853 13021460 19532190 24603706 36905559 39064380 49207412 61509265 73811118 123018530 147622236 184527795 233735207 246037060 369055590 467470414 701205621 738111180 934940828 1168676035 1402411242 2337352070 2804822484 3506028105 4674704140 7012056210 14024112420