Search a number
-
+
14213330320 = 2457179141793
BaseRepresentation
bin11010011110010111…
…00011010110010000
31100200112212222202111
431033023203112100
5213102103032240
610310212555104
71012135212550
oct151713432620
940615788674
1014213330320
116034066492
122908022a94
131456882837
1498b969160
15582c221ea
hex34f2e3590

14213330320 has 80 divisors (see below), whose sum is σ = 37978104960. Its totient is φ = 4845883392.

The previous prime is 14213330317. The next prime is 14213330359. The reversal of 14213330320 is 2303331241.

14213330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14213330291 and 14213330300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29344 + ... + 171136.

It is an arithmetic number, because the mean of its divisors is an integer number (474726312).

Almost surely, 214213330320 is an apocalyptic number.

14213330320 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 14213330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989052480).

14213330320 is an abundant number, since it is smaller than the sum of its proper divisors (23764774640).

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

14213330320 is a wasteful number, since it uses less digits than its factorization.

14213330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141992 (or 141986 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 14213330320 its reverse (2303331241), we get a palindrome (16516661561).

The spelling of 14213330320 in words is "fourteen billion, two hundred thirteen million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 1253 1432 1790 2506 2864 3580 5012 6265 7160 10024 12530 14320 20048 25060 50120 100240 141793 283586 567172 708965 992551 1134344 1417930 1985102 2268688 2835860 3970204 4962755 5671720 7940408 9925510 11343440 15880816 19851020 25380947 39702040 50761894 79404080 101523788 126904735 177666629 203047576 253809470 355333258 406095152 507618940 710666516 888333145 1015237880 1421333032 1776666290 2030475760 2842666064 3553332580 7106665160 14213330320