Base | Representation |
---|---|
bin | 1100010110001111000… |
… | …01010110111000000000 |
3 | 1111120002000010200000000 |
4 | 12023013201112320000 |
5 | 23422333034033230 |
6 | 522522200000000 |
7 | 42436262150142 |
oct | 6130741267000 |
9 | 1446060120000 |
10 | 424254205440 |
11 | 153a1a49098a |
12 | 6a281a60000 |
13 | 310124c02b0 |
14 | 16769490c92 |
15 | b080d9eb60 |
hex | 62c7856e00 |
424254205440 has 1440 divisors, whose sum is σ = 1725139896480. Its totient is φ = 99325771776.
The previous prime is 424254205421. The next prime is 424254205447. The reversal of 424254205440 is 44502452424.
424254205440 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 5 + 4 + 205 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 424254205395 and 424254205404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424254205447) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6332152287 + ... + 6332152353.
It is an arithmetic number, because the mean of its divisors is an integer number (1198013817).
Almost surely, 2424254205440 is an apocalyptic number.
424254205440 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 424254205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862569948240).
424254205440 is an abundant number, since it is smaller than the sum of its proper divisors (1300885691040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424254205440 is an frugal number, since it uses more digits than its factorization.
424254205440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 156 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 204800, while the sum is 36.
Adding to 424254205440 its reverse (44502452424), we get a palindrome (468756657864).
The spelling of 424254205440 in words is "four hundred twenty-four billion, two hundred fifty-four million, two hundred five thousand, four hundred forty".
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