Search a number
-
+
14234220000 = 2532547111379
BaseRepresentation
bin11010100000110110…
…01111010111100000
31100202000012022000100
431100123033113200
5213122430020000
610312240422400
71012510605450
oct152033172740
940660168010
1014234220000
116044934190
122913017a00
13145acb7bb0
14990645d60
1558499ba00
hex3506cf5e0

14234220000 has 1440 divisors, whose sum is σ = 68773985280. Its totient is φ = 2695680000.

The previous prime is 14234219999. The next prime is 14234220023. The reversal of 14234220000 is 2243241.

14234220000 is a `hidden beast` number, since 1 + 423 + 42 + 200 + 0 + 0 = 666.

14234220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×142342200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 180179961 + ... + 180180039.

It is an arithmetic number, because the mean of its divisors is an integer number (47759712).

Almost surely, 214234220000 is an apocalyptic number.

14234220000 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 14234220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34386992640).

14234220000 is an abundant number, since it is smaller than the sum of its proper divisors (54539765280).

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

14234220000 is a wasteful number, since it uses less digits than its factorization.

14234220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14234220000 its reverse (2243241), we get a palindrome (14236463241).

The spelling of 14234220000 in words is "fourteen billion, two hundred thirty-four million, two hundred twenty thousand".