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14259053952 = 27321113101857
BaseRepresentation
bin11010100011110011…
…11110010110000000
31100210201220222210100
431101321332112000
5213200304211302
610314525002400
71013231646603
oct152171762600
940721828710
1014259053952
116057956310
12291b3b3400
1314631a1640
14993a6c33a
15586c54d1c
hex351e7e580

14259053952 has 384 divisors, whose sum is σ = 48739410720. Its totient is φ = 3944448000.

The previous prime is 14259053947. The next prime is 14259053957. The reversal of 14259053952 is 25935095241.

14259053952 is a `hidden beast` number, since 1 + 4 + 2 + 590 + 5 + 3 + 9 + 52 = 666.

14259053952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14259053947) and next prime (14259053957).

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

It is a junction number, because it is equal to n+sod(n) for n = 14259053898 and 14259053907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14259053957) by changing a digit.

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, 16637908 + ... + 16638764.

Almost surely, 214259053952 is an apocalyptic number.

14259053952 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 14259053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369705360).

14259053952 is an abundant number, since it is smaller than the sum of its proper divisors (34480356768).

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

14259053952 is a wasteful number, since it uses less digits than its factorization.

14259053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 14259053952 in words is "fourteen billion, two hundred fifty-nine million, fifty-three thousand, nine hundred fifty-two".