Search a number
-
+
14204311000 = 2353112891319
BaseRepresentation
bin11010011101010010…
…01001010111011000
31100122220220202120121
431032221021113120
5213042300423000
610305251403024
71011665436265
oct151651112730
940586822517
1014204311000
116029a66100
122904bb3474
131454a45469
1498a69c26c
1558203eb1a
hex34ea495d8

14204311000 has 192 divisors, whose sum is σ = 36972936000. Its totient is φ = 5103296000.

The previous prime is 14204310931. The next prime is 14204311003. The reversal of 14204311000 is 11340241.

14204311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204311003) 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 47 ways as a sum of consecutive naturals, for example, 10768341 + ... + 10769659.

It is an arithmetic number, because the mean of its divisors is an integer number (192567375).

Almost surely, 214204311000 is an apocalyptic number.

14204311000 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 14204311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486468000).

14204311000 is an abundant number, since it is smaller than the sum of its proper divisors (22768625000).

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

14204311000 is a wasteful number, since it uses less digits than its factorization.

14204311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14204311000 its reverse (11340241), we get a palindrome (14215651241).

The spelling of 14204311000 in words is "fourteen billion, two hundred four million, three hundred eleven thousand".