Search a number
-
+
14728142592 = 283243473163
BaseRepresentation
bin11011011011101110…
…11001111100000000
31102000102121011102200
431231313121330000
5220130401030332
610433243113200
71030656101142
oct155567317400
942012534380
1014728142592
11627871a579
122a30512800
131509422997
149da098c92
155b301417c
hex36ddd9f00

14728142592 has 216 divisors, whose sum is σ = 44390970624. Its totient is φ = 4691699712.

The previous prime is 14728142591. The next prime is 14728142669. The reversal of 14728142592 is 29524182741.

14728142592 is a `hidden beast` number, since 1 + 47 + 2 + 8 + 14 + 2 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14728142591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654803 + ... + 4657965.

Almost surely, 214728142592 is an apocalyptic number.

14728142592 is a gapful number since it is divisible by the number (12) 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 14728142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195485312).

14728142592 is an abundant number, since it is smaller than the sum of its proper divisors (29662828032).

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

14728142592 is a wasteful number, since it uses less digits than its factorization.

14728142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3258 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 14728142592 in words is "fourteen billion, seven hundred twenty-eight million, one hundred forty-two thousand, five hundred ninety-two".