Search a number
-
+
14271842304 = 21134227379
BaseRepresentation
bin11010100101010101…
…10000100000000000
31100211121222201010000
431102222300200000
5213212042423204
610320103040000
71013445441456
oct152252604000
940747881100
1014271842304
1160640a03a5
122923740000
131465a2b405
1499563a9d6
15587e2e039
hex352ab0800

14271842304 has 240 divisors, whose sum is σ = 42929686800. Its totient is φ = 4723826688.

The previous prime is 14271842251. The next prime is 14271842311. The reversal of 14271842304 is 40324817241.

14271842304 is a `hidden beast` number, since 1 + 4 + 271 + 84 + 2 + 304 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37656387 + ... + 37656765.

It is an arithmetic number, because the mean of its divisors is an integer number (178873695).

Almost surely, 214271842304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14271842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464843400).

14271842304 is an abundant number, since it is smaller than the sum of its proper divisors (28657844496).

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

14271842304 is an equidigital number, since it uses as much as digits as its factorization.

14271842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 14271842304 in words is "fourteen billion, two hundred seventy-one million, eight hundred forty-two thousand, three hundred four".