Search a number
-
+
14269724500 = 225328539449
BaseRepresentation
bin11010100101000101…
…01011011101010100
31100211111000010000211
431102202223131110
5213211022141000
610315545415204
71013421441223
oct152242533524
940744003024
1014269724500
116062984249
122922a9a504
131465469485
14995248cba
15587b617ba
hex3528ab754

14269724500 has 24 divisors (see below), whose sum is σ = 31165079400. Its totient is φ = 5707889600.

The previous prime is 14269724471. The next prime is 14269724509. The reversal of 14269724500 is 542796241.

14269724500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 444197776 + 13825526724 = 21076^2 + 117582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14269724509) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14269225 + ... + 14270224.

It is an arithmetic number, because the mean of its divisors is an integer number (1298544975).

Almost surely, 214269724500 is an apocalyptic number.

14269724500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14269724500 is an abundant number, since it is smaller than the sum of its proper divisors (16895354900).

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

14269724500 is a wasteful number, since it uses less digits than its factorization.

14269724500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28539468 (or 28539456 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 14269724500 in words is "fourteen billion, two hundred sixty-nine million, seven hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 28539449 57078898 114157796 142697245 285394490 570788980 713486225 1426972450 2853944900 3567431125 7134862250 14269724500