Base | Representation |
---|---|
bin | 1101101100100100101… |
… | …1101100011110010000 |
3 | 211111100201002022210112 |
4 | 3123021023230132100 |
5 | 12323400200121034 |
6 | 300032535020452 |
7 | 23000016630500 |
oct | 3331113543620 |
9 | 744321068715 |
10 | 235303520144 |
11 | 90878780430 |
12 | 3972a80a728 |
13 | 1925c3a3c74 |
14 | b562a39a00 |
15 | 61c29ab7ce |
hex | 36c92ec790 |
235303520144 has 120 divisors (see below), whose sum is σ = 582431472000. Its totient is φ = 91060919040.
The previous prime is 235303520131. The next prime is 235303520147. The reversal of 235303520144 is 441025303532.
235303520144 is digitally balanced in base 2, 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 235303520144.
It is not an unprimeable number, because it can be changed into a prime (235303520147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193417 + ... + 1376535.
It is an arithmetic number, because the mean of its divisors is an integer number (4853595600).
Almost surely, 2235303520144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 235303520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291215736000).
235303520144 is an abundant number, since it is smaller than the sum of its proper divisors (347127951856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235303520144 is a wasteful number, since it uses less digits than its factorization.
235303520144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183301 (or 183288 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 32.
Adding to 235303520144 its reverse (441025303532), we get a palindrome (676328823676).
The spelling of 235303520144 in words is "two hundred thirty-five billion, three hundred three million, five hundred twenty thousand, one hundred forty-four".
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