Base | Representation |
---|---|
bin | 10100000100110001111101… |
… | …00001001001001101010000 |
3 | 12210022012020121222212000121 |
4 | 22002120332201021031100 |
5 | 21241231343010303034 |
6 | 233515450005000024 |
7 | 12204231245062411 |
oct | 1202307641111520 |
9 | 183265217885017 |
10 | 44144722744144 |
11 | 1307a743158410 |
12 | 4b4b6623b3014 |
13 | 1b82aa251a439 |
14 | ac888a375808 |
15 | 51848b3351b4 |
hex | 28263e849350 |
44144722744144 has 80 divisors (see below), whose sum is σ = 93862465167744. Its totient is φ = 19946186841600.
The previous prime is 44144722744117. The next prime is 44144722744163.
It is a happy number.
44144722744144 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 44144722744091 and 44144722744100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72743637 + ... + 73347979.
Almost surely, 244144722744144 is an apocalyptic number.
44144722744144 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 44144722744144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46931232583872).
44144722744144 is an abundant number, since it is smaller than the sum of its proper divisors (49717742423600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44144722744144 is a wasteful number, since it uses less digits than its factorization.
44144722744144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 606836 (or 606830 counting only the distinct ones).
The product of its digits is 12845056, while the sum is 52.
The spelling of 44144722744144 in words is "forty-four trillion, one hundred forty-four billion, seven hundred twenty-two million, seven hundred forty-four thousand, one hundred forty-four".
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