Search a number
-
+
14109037488 = 2434713119633
BaseRepresentation
bin11010010001111011…
…01101001110110000
31100102021122100220000
431020331231032300
5212343403144423
610252005350000
71006430561040
oct151075551660
940367570800
1014109037488
115a90202767
122899108300
13143b0980c0
1497bb7b720
155789c0843
hex348f6d3b0

14109037488 has 200 divisors, whose sum is σ = 50259679008. Its totient is φ = 3721033728.

The previous prime is 14109037487. The next prime is 14109037529. The reversal of 14109037488 is 88473090141.

It is a happy number.

14109037488 is a `hidden beast` number, since 1 + 410 + 90 + 3 + 74 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (14109037487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58120 + ... + 177752.

Almost surely, 214109037488 is an apocalyptic number.

14109037488 is a gapful number since it is divisible by the number (18) 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 14109037488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25129839504).

14109037488 is an abundant number, since it is smaller than the sum of its proper divisors (36150641520).

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

14109037488 is a wasteful number, since it uses less digits than its factorization.

14109037488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119673 (or 119658 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14109037488 in words is "fourteen billion, one hundred nine million, thirty-seven thousand, four hundred eighty-eight".