Base | Representation |
---|---|
bin | 1100010110000111001… |
… | …01110100101110110000 |
3 | 1111112220102001200001212 |
4 | 12023003211310232300 |
5 | 23422214144024230 |
6 | 522511442415252 |
7 | 42434531532110 |
oct | 6130345645660 |
9 | 1445812050055 |
10 | 424188267440 |
11 | 153996244773 |
12 | 6a263961528 |
13 | 31001944622 |
14 | 16760809040 |
15 | b07a1c7895 |
hex | 62c3974bb0 |
424188267440 has 160 divisors (see below), whose sum is σ = 1146279776256. Its totient is φ = 142976655360.
The previous prime is 424188267383. The next prime is 424188267479. The reversal of 424188267440 is 44762881424.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 14020169 + ... + 14050391.
Almost surely, 2424188267440 is an apocalyptic number.
424188267440 is a gapful number since it is divisible by the number (40) 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 424188267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573139888128).
424188267440 is an abundant number, since it is smaller than the sum of its proper divisors (722091508816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424188267440 is a wasteful number, since it uses less digits than its factorization.
424188267440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30667 (or 30661 counting only the distinct ones).
The product of its (nonzero) digits is 2752512, while the sum is 50.
The spelling of 424188267440 in words is "four hundred twenty-four billion, one hundred eighty-eight million, two hundred sixty-seven thousand, four hundred forty".
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