Search a number
-
+
14256461052 = 2236171392069
BaseRepresentation
bin11010100011100000…
…00101010011111100
31100210120001021000000
431101300011103330
5213144123223202
610314353234300
71013200630251
oct152160052374
940716037000
1014256461052
116056445219
12291a562990
1314627a4392
14993595428
155868e191c
hex351c054fc

14256461052 has 168 divisors, whose sum is σ = 39910676400. Its totient is φ = 4438291968.

The previous prime is 14256460993. The next prime is 14256461099. The reversal of 14256461052 is 25016465241.

14256461052 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 646 + 1 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14256460998 and 14256461016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6889474 + ... + 6891542.

It is an arithmetic number, because the mean of its divisors is an integer number (237563550).

Almost surely, 214256461052 is an apocalyptic number.

14256461052 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 14256461052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955338200).

14256461052 is an abundant number, since it is smaller than the sum of its proper divisors (25654215348).

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

14256461052 is a wasteful number, since it uses less digits than its factorization.

14256461052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14256461052 in words is "fourteen billion, two hundred fifty-six million, four hundred sixty-one thousand, fifty-two".