Base | Representation |
---|---|
bin | 11110001101010010… |
… | …001011000001000000 |
3 | 10002201110101221002201 |
4 | 132031102023001000 |
5 | 1012411342402430 |
6 | 22522301122544 |
7 | 2225525663413 |
oct | 361522130100 |
9 | 102643357081 |
10 | 32435122240 |
11 | 12834865454 |
12 | 6352559454 |
13 | 309ba2a331 |
14 | 17d9a0bb7a |
15 | c9c7db8ca |
hex | 78d48b040 |
32435122240 has 112 divisors (see below), whose sum is σ = 78411921408. Its totient is φ = 12778020864.
The previous prime is 32435122219. The next prime is 32435122241. The reversal of 32435122240 is 4222153423.
It is a junction number, because it is equal to n+sod(n) for n = 32435122199 and 32435122208.
It is not an unprimeable number, because it can be changed into a prime (32435122241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5891329 + ... + 5896831.
Almost surely, 232435122240 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 32435122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39205960704).
32435122240 is an abundant number, since it is smaller than the sum of its proper divisors (45976799168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32435122240 is a wasteful number, since it uses less digits than its factorization.
32435122240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5796 (or 5786 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 28.
Adding to 32435122240 its reverse (4222153423), we get a palindrome (36657275663).
The spelling of 32435122240 in words is "thirty-two billion, four hundred thirty-five million, one hundred twenty-two thousand, two hundred forty".
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