Search a number
-
+
14281821960 = 23357192114241
BaseRepresentation
bin11010100110100001…
…10100111100001000
31100212022202201121220
431103100310330020
5213222121300320
610321101002040
71013626324620
oct152320647410
940768681556
1014281821960
11606979724a
122926b53320
131467b13933
14996ab7880
15588c50e40
hex353434f08

14281821960 has 256 divisors, whose sum is σ = 51799910400. Its totient is φ = 3077222400.

The previous prime is 14281821943. The next prime is 14281822007. The reversal of 14281821960 is 6912818241.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365440 + ... + 3369680.

It is an arithmetic number, because the mean of its divisors is an integer number (202343400).

Almost surely, 214281821960 is an apocalyptic number.

14281821960 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 14281821960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899955200).

14281821960 is an abundant number, since it is smaller than the sum of its proper divisors (37518088440).

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

14281821960 is a wasteful number, since it uses less digits than its factorization.

14281821960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 14281821960 in words is "fourteen billion, two hundred eighty-one million, eight hundred twenty-one thousand, nine hundred sixty".