Search a number
-
+
14128228800 = 2632527220023
BaseRepresentation
bin11010010100001101…
…11010100111000000
31100110121202101102100
431022012322213000
5212413311310200
610253532550400
71010052651300
oct151206724700
940417671370
1014128228800
115aa0020454
1228a3622400
1314420573ca
14980535600
1557a511d00
hex34a1ba9c0

14128228800 has 378 divisors, whose sum is σ = 58416355608. Its totient is φ = 3229148160.

The previous prime is 14128228769. The next prime is 14128228801. The reversal of 14128228800 is 882282141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14128228801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 695589 + ... + 715611.

Almost surely, 214128228800 is an apocalyptic number.

14128228800 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 14128228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29208177804).

14128228800 is an abundant number, since it is smaller than the sum of its proper divisors (44288126808).

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

14128228800 is a wasteful number, since it uses less digits than its factorization.

14128228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20065 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 14128228800 in words is "fourteen billion, one hundred twenty-eight million, two hundred twenty-eight thousand, eight hundred".