| Base | Representation |
|---|---|
| bin | 110010001111111111011010… |
| … | …1110101000111101110100000 |
| 3 | 2010222000000112022111202210120 |
| 4 | 1210133332311311013232200 |
| 5 | 430413231434040000112 |
| 6 | 4204021040235400240 |
| 7 | 162046423155116346 |
| oct | 14437766565075640 |
| 9 | 2128000468452716 |
| 10 | 442002430000032 |
| 11 | 1189211a5834540 |
| 12 | 416a70475b3080 |
| 13 | 15c8285b93a505 |
| 14 | 7b21063201996 |
| 15 | 361776e327e8c |
| hex | 191ffb5d47ba0 |
442002430000032 has 192 divisors, whose sum is σ = 1277975463206400. Its totient is φ = 132645569172480.
The previous prime is 442002430000007. The next prime is 442002430000039. The reversal of 442002430000032 is 230000034200244.
It is a super-2 number, since 2×4420024300000322 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 442002429999957 and 442002430000011.
It is not an unprimeable number, because it can be changed into a prime (442002430000039) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350663019 + ... + 351921237.
It is an arithmetic number, because the mean of its divisors is an integer number (6656122204200).
Almost surely, 2442002430000032 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 442002430000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638987731603200).
442002430000032 is an abundant number, since it is smaller than the sum of its proper divisors (835973033206368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442002430000032 is a wasteful number, since it uses less digits than its factorization.
442002430000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1261459 (or 1261451 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
Adding to 442002430000032 its reverse (230000034200244), we get a palindrome (672002464200276).
The spelling of 442002430000032 in words is "four hundred forty-two trillion, two billion, four hundred thirty million, thirty-two", and thus it is an aban number.
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