Search a number
-
+
14269789800 = 233252721731307
BaseRepresentation
bin11010100101000101…
…11011011001101000
31100211111010102121100
431102202323121220
5213211031233200
610315551041400
71013422132500
oct152242733150
940744112540
1014269789800
116062a19312
122922b10260
131465490106
14995264a00
15587b75d00
hex3528bb668

14269789800 has 864 divisors, whose sum is σ = 61128587520. Its totient is φ = 2961100800.

The previous prime is 14269789799. The next prime is 14269789819. The reversal of 14269789800 is 898796241.

14269789800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 215 ways as a sum of consecutive naturals, for example, 46481247 + ... + 46481553.

It is an arithmetic number, because the mean of its divisors is an integer number (70750680).

Almost surely, 214269789800 is an apocalyptic number.

14269789800 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 14269789800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

14269789800 is an abundant number, since it is smaller than the sum of its proper divisors (46858797720).

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

14269789800 is a wasteful number, since it uses less digits than its factorization.

14269789800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14269789800 in words is "fourteen billion, two hundred sixty-nine million, seven hundred eighty-nine thousand, eight hundred".