Base | Representation |
---|---|
bin | 110100101110110110… |
… | …0101011001011111110 |
3 | 101211021222012001100220 |
4 | 1221131230223023332 |
5 | 3323404213021024 |
6 | 124004450402210 |
7 | 11116135553040 |
oct | 1513554531376 |
9 | 354258161326 |
10 | 113241142014 |
11 | 44030744080 |
12 | 19b44290366 |
13 | a8a8b42010 |
14 | 56a383ba90 |
15 | 2e2b920e79 |
hex | 1a5db2b2fe |
113241142014 has 384 divisors, whose sum is σ = 332186158080. Its totient is φ = 24820992000.
The previous prime is 113241141997. The next prime is 113241142019. The reversal of 113241142014 is 410241142311.
It is a happy number.
113241142014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113241142019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62875914 + ... + 62877714.
It is an arithmetic number, because the mean of its divisors is an integer number (865068120).
Almost surely, 2113241142014 is an apocalyptic number.
113241142014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 113241142014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166093079040).
113241142014 is an abundant number, since it is smaller than the sum of its proper divisors (218945016066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113241142014 is a wasteful number, since it uses less digits than its factorization.
113241142014 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1904 (or 1885 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
Adding to 113241142014 its reverse (410241142311), we get a palindrome (523482284325).
It can be divided in two parts, 113241 and 142014, that added together give a triangular number (255255 = T714).
The spelling of 113241142014 in words is "one hundred thirteen billion, two hundred forty-one million, one hundred forty-two thousand, fourteen".
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