Base | Representation |
---|---|
bin | 111010100001010000110… |
… | …001000010101100101001 |
3 | 112020110001101011020021100 |
4 | 322201100301002230221 |
5 | 1011341404233004231 |
6 | 12315232010232013 |
7 | 563353066410135 |
oct | 72412061025451 |
9 | 15213041136240 |
10 | 4021444422441 |
11 | 13105375a0646 |
12 | 54b471725609 |
13 | 2322b38065b4 |
14 | dc8d33bc3c5 |
15 | 6e9189431e6 |
hex | 3a850c42b29 |
4021444422441 has 24 divisors (see below), whose sum is σ = 5965875966024. Its totient is φ = 2608447829760.
The previous prime is 4021444422379. The next prime is 4021444422473. The reversal of 4021444422441 is 1442244441204.
4021444422441 is a `hidden beast` number, since 402 + 1 + 4 + 4 + 4 + 4 + 2 + 244 + 1 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3753228155625 + 268216266816 = 1937325^2 + 517896^2 .
It is not a de Polignac number, because 4021444422441 - 211 = 4021444420393 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 4021444422396 and 4021444422405.
It is not an unprimeable number, because it can be changed into a prime (4021444422491) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19732435 + ... + 19935191.
It is an arithmetic number, because the mean of its divisors is an integer number (248578165251).
Almost surely, 24021444422441 is an apocalyptic number.
It is an amenable number.
4021444422441 is a deficient number, since it is larger than the sum of its proper divisors (1944431543583).
4021444422441 is a wasteful number, since it uses less digits than its factorization.
4021444422441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262361 (or 262358 counting only the distinct ones).
The product of its (nonzero) digits is 131072, while the sum is 36.
Adding to 4021444422441 its reverse (1442244441204), we get a palindrome (5463688863645).
The spelling of 4021444422441 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred forty-one".
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