Base | Representation |
---|---|
bin | 1100000000101111011… |
… | …10110110111100001001 |
3 | 1110110021211010022110000 |
4 | 12000113232312330021 |
5 | 23230220021120131 |
6 | 513333151113213 |
7 | 41550314534202 |
oct | 6002756667411 |
9 | 1413254108400 |
10 | 412715020041 |
11 | 14a038962125 |
12 | 67ba1512809 |
13 | 2cbc3970a3c |
14 | 15d92b485a9 |
15 | ab07d06ce6 |
hex | 6017bb6f09 |
412715020041 has 45 divisors (see below), whose sum is σ = 632292037509. Its totient is φ = 268278350400.
The previous prime is 412715020031. The next prime is 412715020063. The reversal of 412715020041 is 140020517214.
The square root of 412715020041 is 642429.
It is a perfect power (a square), and thus also a powerful number.
412715020041 is a `hidden beast` number, since 412 + 7 + 1 + 5 + 0 + 200 + 41 = 666.
412715020041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 386412667641 + 26302352400 = 621621^2 + 162180^2 .
It is not a de Polignac number, because 412715020041 - 215 = 412714987273 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 412715019987 and 412715020014.
It is not an unprimeable number, because it can be changed into a prime (412715020031) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 237055431 + ... + 237057171.
Almost surely, 2412715020041 is an apocalyptic number.
412715020041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.
412715020041 is the 642429-th square number.
412715020041 is the 321215-th centered octagonal number.
It is an amenable number.
412715020041 is a deficient number, since it is larger than the sum of its proper divisors (219577017468).
412715020041 is an frugal number, since it uses more digits than its factorization.
412715020041 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3576 (or 1785 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 27.
Adding to 412715020041 its reverse (140020517214), we get a palindrome (552735537255).
The spelling of 412715020041 in words is "four hundred twelve billion, seven hundred fifteen million, twenty thousand, forty-one".
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