Search a number
-
+
14234876880 = 243578473141
BaseRepresentation
bin11010100000111011…
…01111101111010000
31100202001102200002020
431100131233233100
5213123112030010
610312302451440
71012516312530
oct152035575720
940661380066
1014234876880
116045242764
122913293b80
13145b187b93
149907774c0
15584a7b470
hex35076fbd0

14234876880 has 80 divisors (see below), whose sum is σ = 50432141184. Its totient is φ = 3253685760.

The previous prime is 14234876869. The next prime is 14234876881. The reversal of 14234876880 is 8867843241.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234876881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234891 + ... + 4238250.

Almost surely, 214234876880 is an apocalyptic number.

14234876880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234876880 is an abundant number, since it is smaller than the sum of its proper divisors (36197264304).

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

14234876880 is a wasteful number, since it uses less digits than its factorization.

14234876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473164 (or 8473158 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14234876880 in words is "fourteen billion, two hundred thirty-four million, eight hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8473141 16946282 25419423 33892564 42365705 50838846 59311987 67785128 84731410 101677692 118623974 127097115 135570256 169462820 177935961 203355384 237247948 254194230 296559935 338925640 355871922 406710768 474495896 508388460 593119870 677851280 711743844 889679805 948991792 1016776920 1186239740 1423487688 1779359610 2033553840 2372479480 2846975376 3558719220 4744958960 7117438440 14234876880