| Base | Representation |
|---|---|
| bin | 1100110111111011111… |
| … | …10001110001110100000 |
| 3 | 1120021202222001220102100 |
| 4 | 12123331332032032200 |
| 5 | 24221411442023130 |
| 6 | 535113420250400 |
| 7 | 43646533440606 |
| oct | 6337576161640 |
| 9 | 1507688056370 |
| 10 | 442347611040 |
| 11 | 160664770355 |
| 12 | 718913a0a00 |
| 13 | 32936b9595a |
| 14 | 175a4473876 |
| 15 | b78e558c60 |
| hex | 66fdf8e3a0 |
442347611040 has 144 divisors (see below), whose sum is σ = 1515252106368. Its totient is φ = 117510747648.
The previous prime is 442347611003. The next prime is 442347611099. The reversal of 442347611040 is 40116743244.
442347611040 is a `hidden beast` number, since 4 + 4 + 2 + 34 + 7 + 611 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 442347610986 and 442347611004.
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 23 ways as a sum of consecutive naturals, for example, 205284 + ... + 962723.
It is an arithmetic number, because the mean of its divisors is an integer number (10522584072).
Almost surely, 2442347611040 is an apocalyptic number.
442347611040 is a gapful number since it is divisible by the number (40) 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 442347611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757626053184).
442347611040 is an abundant number, since it is smaller than the sum of its proper divisors (1072904495328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442347611040 is a wasteful number, since it uses less digits than its factorization.
442347611040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1168291 (or 1168280 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
It can be divided in two parts, 44234761 and 1040, that added together give a square (44235801 = 66512).
The spelling of 442347611040 in words is "four hundred forty-two billion, three hundred forty-seven million, six hundred eleven thousand, forty".
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