Base | Representation |
---|---|
bin | 11010000101001101… |
… | …01110000000000000 |
3 | 1100010211212222110200 |
4 | 31002212232000000 |
5 | 212134100114112 |
6 | 10233234525200 |
7 | 1003663665051 |
oct | 150246560000 |
9 | 40124788420 |
10 | 14002348032 |
11 | 5a35a62362 |
12 | 2869436800 |
13 | 1421c5184a |
14 | 96b928728 |
15 | 56e448cdc |
hex | 3429ae000 |
14002348032 has 168 divisors, whose sum is σ = 40713065640. Its totient is φ = 4636999680.
The previous prime is 14002348001. The next prime is 14002348033. The reversal of 14002348032 is 23084320041.
It is a junction number, because it is equal to n+sod(n) for n = 14002347987 and 14002348005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14002348033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13196782 + ... + 13197842.
Almost surely, 214002348032 is an apocalyptic number.
14002348032 is a gapful number since it is divisible by the number (12) 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 14002348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356532820).
14002348032 is an abundant number, since it is smaller than the sum of its proper divisors (26710717608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14002348032 is a wasteful number, since it uses less digits than its factorization.
14002348032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1272 (or 1245 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 14002348032 its reverse (23084320041), we get a palindrome (37086668073).
It can be divided in two parts, 1400 and 2348032, that added together give a palindrome (2349432).
The spelling of 14002348032 in words is "fourteen billion, two million, three hundred forty-eight thousand, thirty-two".
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