Base | Representation |
---|---|
bin | 1100010110001100110… |
… | …10011001110100000000 |
3 | 1111120000201010200100000 |
4 | 12023012122121310000 |
5 | 23422313303331443 |
6 | 522520253200000 |
7 | 42435645101160 |
oct | 6130632316400 |
9 | 1446021120300 |
10 | 424235605248 |
11 | 153a0aa37324 |
12 | 6a277790000 |
13 | 3100b6aa070 |
14 | 16766c0c5a0 |
15 | b07e4288d3 |
hex | 62c6699d00 |
424235605248 has 432 divisors, whose sum is σ = 1561225318016. Its totient is φ = 111884820480.
The previous prime is 424235605247. The next prime is 424235605249. The reversal of 424235605248 is 842506532424.
It is a happy number.
424235605248 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 35 + 605 + 2 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (424235605247) and next prime (424235605249).
It is a tau number, because it is divible by the number of its divisors (432).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424235605243) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5623458 + ... + 5698398.
Almost surely, 2424235605248 is an apocalyptic number.
424235605248 is a gapful number since it is divisible by the number (48) 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 424235605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780612659008).
424235605248 is an abundant number, since it is smaller than the sum of its proper divisors (1136989712768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424235605248 is an equidigital number, since it uses as much as digits as its factorization.
424235605248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74992 (or 74966 counting only the distinct ones).
The product of its (nonzero) digits is 1843200, while the sum is 45.
The spelling of 424235605248 in words is "four hundred twenty-four billion, two hundred thirty-five million, six hundred five thousand, two hundred forty-eight".
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