Search a number
-
+
14422440960 = 210335172192
BaseRepresentation
bin11010110111010010…
…01111110000000000
31101020010100220122000
431123221033300000
5214014121102320
610343042544000
71020254503554
oct153351176000
941203326560
1014422440960
1161311013a4
122966068000
13148aca9945
149ab63d864
1559627ac90
hex35ba4fc00

14422440960 has 792 divisors, whose sum is σ = 57463547760. Its totient is φ = 3429236736.

The previous prime is 14422440953. The next prime is 14422441013. The reversal of 14422440960 is 6904422441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 759075831 + ... + 759075849.

Almost surely, 214422440960 is an apocalyptic number.

14422440960 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 14422440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28731773880).

14422440960 is an abundant number, since it is smaller than the sum of its proper divisors (43041106800).

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

14422440960 is a wasteful number, since it uses less digits than its factorization.

14422440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14422440960 in words is "fourteen billion, four hundred twenty-two million, four hundred forty thousand, nine hundred sixty".