Search a number
-
+
14104050000 = 24355175531
BaseRepresentation
bin11010010001010101…
…01011100101010000
31100101221020222100020
431020222223211100
5212341114100000
610251310423440
71006340306205
oct151052534520
940357228306
1014104050000
115a88406577
122897501b80
13143a03cc21
1497b23dcac
15578337ba0
hex348aab950

14104050000 has 240 divisors, whose sum is σ = 48229038144. Its totient is φ = 3539200000.

The previous prime is 14104049987. The next prime is 14104050001. The reversal of 14104050000 is 5040141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104050001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547235 + ... + 2552765.

Almost surely, 214104050000 is an apocalyptic number.

14104050000 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 14104050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24114519072).

14104050000 is an abundant number, since it is smaller than the sum of its proper divisors (34124988144).

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

14104050000 is an equidigital number, since it uses as much as digits as its factorization.

14104050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14104050000 its reverse (5040141), we get a palindrome (14109090141).

The spelling of 14104050000 in words is "fourteen billion, one hundred four million, fifty thousand".