Search a number
-
+
14233211040 = 2535312294177
BaseRepresentation
bin11010100000101110…
…11001000010100000
31100201221022000222110
431100113121002200
5213122200223130
610312203035320
71012466204046
oct152027310240
940657260873
1014233211040
116044305134
12291280bb40
13145aa23889
14990462396
1558484cab0
hex3505d90a0

14233211040 has 192 divisors, whose sum is σ = 46494120960. Its totient is φ = 3656171520.

The previous prime is 14233211039. The next prime is 14233211051. The reversal of 14233211040 is 4011233241.

It is a junction number, because it is equal to n+sod(n) for n = 14233210998 and 14233211016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405432 + ... + 3409608.

It is an arithmetic number, because the mean of its divisors is an integer number (242156880).

Almost surely, 214233211040 is an apocalyptic number.

14233211040 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 14233211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23247060480).

14233211040 is an abundant number, since it is smaller than the sum of its proper divisors (32260909920).

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

14233211040 is a wasteful number, since it uses less digits than its factorization.

14233211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14233211040 its reverse (4011233241), we get a palindrome (18244444281).

The spelling of 14233211040 in words is "fourteen billion, two hundred thirty-three million, two hundred eleven thousand, forty".