Search a number
-
+
14156513280 = 214325713211
BaseRepresentation
bin11010010111100101…
…10100000000000000
31100112120222101102200
431023302310000000
5212443031411110
610300423113200
71010545243320
oct151362640000
940476871380
1014156513280
116004a89a58
1228b0ba2800
131447b7b5a0
149841b9280
1557cc4c6c0
hex34bcb4000

14156513280 has 720 divisors, whose sum is σ = 60685532544. Its totient is φ = 2972712960.

The previous prime is 14156513263. The next prime is 14156513303. The reversal of 14156513280 is 8231565141.

14156513280 is a `hidden beast` number, since 1 + 4 + 1 + 565 + 13 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 67092375 + ... + 67092585.

Almost surely, 214156513280 is an apocalyptic number.

14156513280 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 14156513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342766272).

14156513280 is an abundant number, since it is smaller than the sum of its proper divisors (46529019264).

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

14156513280 is a wasteful number, since it uses less digits than its factorization.

14156513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 14156513280 in words is "fourteen billion, one hundred fifty-six million, five hundred thirteen thousand, two hundred eighty".