Search a number
-
+
14030205000 = 233547472843
BaseRepresentation
bin11010001000100001…
…11111000001001000
31100012210022021001020
431010100333001020
5212213213030000
610240111552440
71004452526520
oct150420770110
940183267036
1014030205000
115a4a759749
12287682b720
131427956266
149714da680
15571aecba0
hex34443f048

14030205000 has 320 divisors, whose sum is σ = 51175618560. Its totient is φ = 3137568000.

The previous prime is 14030204971. The next prime is 14030205011. The reversal of 14030205000 is 50203041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4933579 + ... + 4936421.

It is an arithmetic number, because the mean of its divisors is an integer number (159923808).

Almost surely, 214030205000 is an apocalyptic number.

14030205000 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 14030205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587809280).

14030205000 is an abundant number, since it is smaller than the sum of its proper divisors (37145413560).

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

14030205000 is a wasteful number, since it uses less digits than its factorization.

14030205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 14030205000 its reverse (50203041), we get a palindrome (14080408041).

The spelling of 14030205000 in words is "fourteen billion, thirty million, two hundred five thousand".