Search a number
-
+
14214980784 = 2431017613853
BaseRepresentation
bin11010011110100011…
…10110010010110000
31100200122222211202210
431033101312102300
5213103013341114
610310312212120
71012155225444
oct151721662260
940618884683
1014214980784
116034a93504
12290869a040
13145700cb44
1498bc78824
15582e4b259
hex34f4764b0

14214980784 has 80 divisors (see below), whose sum is σ = 37143988704. Its totient is φ = 4684032000.

The previous prime is 14214980719. The next prime is 14214980863. The reversal of 14214980784 is 48708941241.

14214980784 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 (48).

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, 3687402 + ... + 3691254.

Almost surely, 214214980784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214980784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571994352).

14214980784 is an abundant number, since it is smaller than the sum of its proper divisors (22929007920).

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

14214980784 is a wasteful number, since it uses less digits than its factorization.

14214980784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 14214980784 in words is "fourteen billion, two hundred fourteen million, nine hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 761 808 1212 1522 1616 2283 2424 3044 3853 4566 4848 6088 7706 9132 11559 12176 15412 18264 23118 30824 36528 46236 61648 76861 92472 153722 184944 230583 307444 389153 461166 614888 778306 922332 1167459 1229776 1556612 1844664 2334918 2932133 3113224 3689328 4669836 5864266 6226448 8796399 9339672 11728532 17592798 18679344 23457064 35185596 46914128 70371192 140742384 296145433 592290866 888436299 1184581732 1776872598 2369163464 3553745196 4738326928 7107490392 14214980784