Base | Representation |
---|---|
bin | 100111010110111000… |
… | …011111110110111000 |
3 | 11001002011100022210120 |
4 | 213112320133312320 |
5 | 1143022004343230 |
6 | 31225223013240 |
7 | 3024144500616 |
oct | 472670376670 |
9 | 131064308716 |
10 | 42259840440 |
11 | 16a1663a674 |
12 | 823489a220 |
13 | 3ca630635c |
14 | 208c7846b6 |
15 | 11750c4310 |
hex | 9d6e1fdb8 |
42259840440 has 128 divisors (see below), whose sum is σ = 129561456960. Its totient is φ = 11023294464.
The previous prime is 42259840373. The next prime is 42259840463. The reversal of 42259840440 is 4404895224.
It is a super-3 number, since 3×422598404403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 42259840392 and 42259840401.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133462 + ... + 2153178.
Almost surely, 242259840440 is an apocalyptic number.
42259840440 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 42259840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64780728480).
42259840440 is an abundant number, since it is smaller than the sum of its proper divisors (87301616520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42259840440 is a wasteful number, since it uses less digits than its factorization.
42259840440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20121 (or 20117 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 42.
The spelling of 42259840440 in words is "forty-two billion, two hundred fifty-nine million, eight hundred forty thousand, four hundred forty".
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