Base | Representation |
---|---|
bin | 101001101010111100… |
… | …111111000011001000 |
3 | 11021111021210222110101 |
4 | 221222330333003020 |
5 | 1213113433412434 |
6 | 32315524055144 |
7 | 3142541051020 |
oct | 515274770310 |
9 | 137437728411 |
10 | 44744044744 |
11 | 17a80935083 |
12 | 88088344b4 |
13 | 42b0b94c29 |
14 | 2246682a80 |
15 | 126d22eb14 |
hex | a6af3f0c8 |
44744044744 has 128 divisors (see below), whose sum is σ = 104717214720. Its totient is φ = 17487360000.
The previous prime is 44744044691. The next prime is 44744044769.
It is a happy number.
44744044744 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 44744044694 and 44744044703.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 4514194 + ... + 4524094.
It is an arithmetic number, because the mean of its divisors is an integer number (818103240).
Almost surely, 244744044744 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 44744044744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52358607360).
44744044744 is an abundant number, since it is smaller than the sum of its proper divisors (59973169976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44744044744 is a wasteful number, since it uses less digits than its factorization.
44744044744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10079 (or 10075 counting only the distinct ones).
The product of its (nonzero) digits is 3211264, while the sum is 46.
The spelling of 44744044744 in words is "forty-four billion, seven hundred forty-four million, forty-four thousand, seven hundred forty-four".
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