Search a number
-
+
14869298304 = 27357312203
BaseRepresentation
bin11011101100100011…
…10111110010000000
31102101021012121200000
431312101313302000
5220423020021204
610455244400000
71034321643630
oct156621676200
942337177600
1014869298304
116340370993
122a6b846000
13152c746083
14a10b206c0
155c05e8039
hex376477c80

14869298304 has 384 divisors, whose sum is σ = 52371271680. Its totient is φ = 4109460480.

The previous prime is 14869298287. The next prime is 14869298341. The reversal of 14869298304 is 40389296841.

14869298304 is a `hidden beast` number, since 1 + 48 + 6 + 9 + 298 + 304 = 666.

14869298304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6748467 + ... + 6750669.

It is an arithmetic number, because the mean of its divisors is an integer number (136383520).

Almost surely, 214869298304 is an apocalyptic number.

14869298304 is a gapful number since it is divisible by the number (14) 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 14869298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26185635840).

14869298304 is an abundant number, since it is smaller than the sum of its proper divisors (37501973376).

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

14869298304 is an equidigital number, since it uses as much as digits as its factorization.

14869298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14869298304 in words is "fourteen billion, eight hundred sixty-nine million, two hundred ninety-eight thousand, three hundred four".