Search a number
-
+
14156441460 = 22325741893079
BaseRepresentation
bin11010010111100101…
…00010011101110100
31100112120211201220200
431023302202131310
5212443022111320
610300421400500
71010544524040
oct151362423564
940476751820
1014156441460
116004a3aaa7
1228b0b69130
131447b549a5
1498419b020
1557cc36290
hex34bca2774

14156441460 has 288 divisors, whose sum is σ = 50854003200. Its totient is φ = 3120353280.

The previous prime is 14156441449. The next prime is 14156441479. The reversal of 14156441460 is 6414465141.

14156441460 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 644 + 1 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4596201 + ... + 4599279.

It is an arithmetic number, because the mean of its divisors is an integer number (176576400).

Almost surely, 214156441460 is an apocalyptic number.

14156441460 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 14156441460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427001600).

14156441460 is an abundant number, since it is smaller than the sum of its proper divisors (36697561740).

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

14156441460 is a wasteful number, since it uses less digits than its factorization.

14156441460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14156441460 in words is "fourteen billion, one hundred fifty-six million, four hundred forty-one thousand, four hundred sixty".