Base | Representation |
---|---|
bin | 1100010011001100101… |
… | …01010000111100000000 |
3 | 1111101212100221122011220 |
4 | 12021212111100330000 |
5 | 23411013123123230 |
6 | 522052311235040 |
7 | 42351002466663 |
oct | 6114625207400 |
9 | 1441770848156 |
10 | 422623645440 |
11 | 153263037037 |
12 | 69aa7978a80 |
13 | 30b127476a9 |
14 | 16652ac36da |
15 | aed7b65d10 |
hex | 6266550f00 |
422623645440 has 288 divisors, whose sum is σ = 1424272281600. Its totient is φ = 106506731520.
The previous prime is 422623645417. The next prime is 422623645441. The reversal of 422623645440 is 44546326224.
It is a super-2 number, since 2×4226236454402 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 422623645392 and 422623645401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (422623645441) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30709281 + ... + 30723039.
Almost surely, 2422623645440 is an apocalyptic number.
422623645440 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 422623645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712136140800).
422623645440 is an abundant number, since it is smaller than the sum of its proper divisors (1001648636160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422623645440 is a wasteful number, since it uses less digits than its factorization.
422623645440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14223 (or 14209 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 42.
The spelling of 422623645440 in words is "four hundred twenty-two billion, six hundred twenty-three million, six hundred forty-five thousand, four hundred forty".
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