Base | Representation |
---|---|
bin | 10011111100010101… |
… | …101011111001010000 |
3 | 2001021100010001121100 |
4 | 103330111223321100 |
5 | 322323313144212 |
6 | 13500455424400 |
7 | 1355434000566 |
oct | 237425537120 |
9 | 61240101540 |
10 | 21413412432 |
11 | 9099349775 |
12 | 4197385100 |
13 | 2033471259 |
14 | 1071cc9a36 |
15 | 854daebdc |
hex | 4fc56be50 |
21413412432 has 120 divisors (see below), whose sum is σ = 65000917800. Its totient is φ = 6554050560.
The previous prime is 21413412421. The next prime is 21413412439. The reversal of 21413412432 is 23421431412.
21413412432 is a `hidden beast` number, since 2 + 1 + 413 + 4 + 1 + 243 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 250145856 + 21163266576 = 15816^2 + 145476^2 .
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 21413412396 and 21413412405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21413412439) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6307 + ... + 207042.
It is an arithmetic number, because the mean of its divisors is an integer number (541674315).
Almost surely, 221413412432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21413412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500458900).
21413412432 is an abundant number, since it is smaller than the sum of its proper divisors (43587505368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21413412432 is a wasteful number, since it uses less digits than its factorization.
21413412432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 213421 (or 213412 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
Adding to 21413412432 its reverse (23421431412), we get a palindrome (44834843844).
The spelling of 21413412432 in words is "twenty-one billion, four hundred thirteen million, four hundred twelve thousand, four hundred thirty-two".
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