Base | Representation |
---|---|
bin | 11100010110011111… |
… | …111100010010110000 |
3 | 2220120120110012001200 |
4 | 130112133330102300 |
5 | 444321203240443 |
6 | 21552430531200 |
7 | 2125246540524 |
oct | 342637742260 |
9 | 86516405050 |
10 | 30442243248 |
11 | 11a01941a1a |
12 | 5a97066b00 |
13 | 2b41ba72b1 |
14 | 168b087d84 |
15 | bd2883dd3 |
hex | 7167fc4b0 |
30442243248 has 120 divisors (see below), whose sum is σ = 86710814736. Its totient is φ = 9967449600.
The previous prime is 30442243243. The next prime is 30442243267. The reversal of 30442243248 is 84234224403.
30442243248 is a `hidden beast` number, since 304 + 4 + 2 + 24 + 324 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (30442243243) 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, 7965178 + ... + 7968998.
Almost surely, 230442243248 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 30442243248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43355407368).
30442243248 is an abundant number, since it is smaller than the sum of its proper divisors (56268571488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30442243248 is a wasteful number, since it uses less digits than its factorization.
30442243248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4803 (or 4794 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
The spelling of 30442243248 in words is "thirty billion, four hundred forty-two million, two hundred forty-three thousand, two hundred forty-eight".
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