Search a number
-
+
14040844260 = 22353121012411
BaseRepresentation
bin11010001001110011…
…00100011111100100
31100020112022210100220
431010321210133210
5212223424004020
610241132004340
71004642131002
oct150471443744
940215283326
1014040844260
115a55766123
12287a3006b0
131429c0ca91
14972aa9a72
15572a00240
hex344e647e4

14040844260 has 144 divisors (see below), whose sum is σ = 41042707776. Its totient is φ = 3586080000.

The previous prime is 14040844241. The next prime is 14040844277. The reversal of 14040844260 is 6244804041.

14040844260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 5822455 + ... + 5824865.

It is an arithmetic number, because the mean of its divisors is an integer number (285018804).

Almost surely, 214040844260 is an apocalyptic number.

14040844260 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 14040844260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521353888).

14040844260 is an abundant number, since it is smaller than the sum of its proper divisors (27001863516).

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

14040844260 is a wasteful number, since it uses less digits than its factorization.

14040844260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14040844260 in words is "fourteen billion, forty million, eight hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 101 124 155 186 202 303 310 372 404 465 505 606 620 930 961 1010 1212 1515 1860 1922 2020 2411 2883 3030 3131 3844 4805 4822 5766 6060 6262 7233 9393 9610 9644 11532 12055 12524 14415 14466 15655 18786 19220 24110 28830 28932 31310 36165 37572 46965 48220 57660 62620 72330 74741 93930 97061 144660 149482 187860 194122 224223 243511 291183 298964 373705 388244 448446 485305 487022 582366 730533 747410 896892 970610 974044 1121115 1164732 1217555 1455915 1461066 1494820 1941220 2242230 2316971 2435110 2911830 2922132 3652665 4484460 4633942 4870220 5823660 6950913 7305330 7548841 9267884 11584855 13901826 14610660 15097682 22646523 23169710 27803652 30195364 34754565 37744205 45293046 46339420 69509130 75488410 90586092 113232615 139018260 150976820 226465230 234014071 452930460 468028142 702042213 936056284 1170070355 1404084426 2340140710 2808168852 3510211065 4680281420 7020422130 14040844260