| Base | Representation |
|---|---|
| bin | 10010010010101011110100… |
| … | …11010010011010011011100 |
| 3 | 12021102102021011100022021100 |
| 4 | 21021111322122103103130 |
| 5 | 20233014104121122304 |
| 6 | 221314502232033100 |
| 7 | 11321055454243110 |
| oct | 1111257232232334 |
| 9 | 167372234308240 |
| 10 | 40224422442204 |
| 11 | 118a9099902600 |
| 12 | 4617919832790 |
| 13 | 195a1ba581470 |
| 14 | 9d0c2dd5d740 |
| 15 | 49b4e22ca439 |
| hex | 24957a6934dc |
40224422442204 has 864 divisors, whose sum is σ = 141795474574208. Its totient is φ = 9348742656000.
The previous prime is 40224422442173. The next prime is 40224422442223.
40224422442204 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 4 + 2 + 2 + 442 + 204 = 666.
40224422442204 is nontrivially palindromic in base 10.
40224422442204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4062657654 + ... + 4062667554.
Almost surely, 240224422442204 is an apocalyptic number.
40224422442204 is a gapful number since it is divisible by the number (44) 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 40224422442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70897737287104).
40224422442204 is an abundant number, since it is smaller than the sum of its proper divisors (101571052132004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40224422442204 is a wasteful number, since it uses less digits than its factorization.
40224422442204 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10267 (or 10251 counting only the distinct ones).
The product of its (nonzero) digits is 262144, while the sum is 36.
It can be divided in two parts, 4022442 and 2442204, that added together give a palindrome (6464646).
The spelling of 40224422442204 in words is "forty trillion, two hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, two hundred four".
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