Base | Representation |
---|---|
bin | 1100010110000010010… |
… | …01111100000000000100 |
3 | 1111112210120011112021001 |
4 | 12023001021330000010 |
5 | 23422123213342011 |
6 | 522503422503044 |
7 | 42433524303100 |
oct | 6130111740004 |
9 | 1445716145231 |
10 | 424147402756 |
11 | 153975173500 |
12 | 6a252134a84 |
13 | 30cc633733c |
14 | 1675920c900 |
15 | b0768047c1 |
hex | 62c127c004 |
424147402756 has 81 divisors (see below), whose sum is σ = 949298103957. Its totient is φ = 165213158880.
The previous prime is 424147402739. The next prime is 424147402759. The reversal of 424147402756 is 657204741424.
The square root of 424147402756 is 651266.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 422544201156 + 1603201600 = 650034^2 + 40040^2 .
It is not an unprimeable number, because it can be changed into a prime (424147402759) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100292850 + ... + 100297078.
Almost surely, 2424147402756 is an apocalyptic number.
424147402756 is the 651266-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424147402756
424147402756 is an abundant number, since it is smaller than the sum of its proper divisors (525150701201).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424147402756 is an equidigital number, since it uses as much as digits as its factorization.
424147402756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8498 (or 4249 counting only the distinct ones).
The product of its (nonzero) digits is 1505280, while the sum is 46.
The spelling of 424147402756 in words is "four hundred twenty-four billion, one hundred forty-seven million, four hundred two thousand, seven hundred fifty-six".
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