Search a number
-
+
14291853120 = 2632531160079
BaseRepresentation
bin11010100111101110…
…00101111101000000
31100220000122100210100
431103313011331000
5213232203244440
610322100002400
71014110514156
oct152367057500
940800570710
1014291853120
116074418866
12292a390400
131469c1672c
149981693d6
15589a83230
hex353dc5f40

14291853120 has 168 divisors, whose sum is σ = 50744079360. Its totient is φ = 3688197120.

The previous prime is 14291853119. The next prime is 14291853133. The reversal of 14291853120 is 2135819241.

14291853120 is a `hidden beast` number, since 1 + 429 + 185 + 31 + 20 = 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 23 ways as a sum of consecutive naturals, for example, 9241 + ... + 169319.

Almost surely, 214291853120 is an apocalyptic number.

14291853120 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 14291853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25372039680).

14291853120 is an abundant number, since it is smaller than the sum of its proper divisors (36452226240).

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

14291853120 is a wasteful number, since it uses less digits than its factorization.

14291853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160133 (or 160120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14291853120 in words is "fourteen billion, two hundred ninety-one million, eight hundred fifty-three thousand, one hundred twenty".