Base | Representation |
---|---|
bin | 1101100011000001000… |
… | …1011101100110011000 |
3 | 211020201220211101200210 |
4 | 3120300101131212120 |
5 | 12303121424234130 |
6 | 254530213331120 |
7 | 22546316235201 |
oct | 3306021354630 |
9 | 736656741623 |
10 | 232738118040 |
11 | 8a7816668aa |
12 | 39133636aa0 |
13 | 18c40a55a5c |
14 | b39c0425a8 |
15 | 60c26625b0 |
hex | 363045d998 |
232738118040 has 128 divisors (see below), whose sum is σ = 703230796800. Its totient is φ = 61618060800.
The previous prime is 232738117973. The next prime is 232738118051. The reversal of 232738118040 is 40811837232.
232738118040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 232738118040.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62747706 + ... + 62751414.
It is an arithmetic number, because the mean of its divisors is an integer number (5493990600).
Almost surely, 2232738118040 is an apocalyptic number.
232738118040 is a gapful number since it is divisible by the number (20) 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 232738118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351615398400).
232738118040 is an abundant number, since it is smaller than the sum of its proper divisors (470492678760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232738118040 is a wasteful number, since it uses less digits than its factorization.
232738118040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7337 (or 7333 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 39.
The spelling of 232738118040 in words is "two hundred thirty-two billion, seven hundred thirty-eight million, one hundred eighteen thousand, forty".
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