Base | Representation |
---|---|
bin | 101001010100011000… |
… | …110010001111011000 |
3 | 11020111220102200210210 |
4 | 221110120302033120 |
5 | 1211330024100334 |
6 | 32214201411120 |
7 | 3130263104526 |
oct | 512430621730 |
9 | 136456380723 |
10 | 44365456344 |
11 | 178a7164000 |
12 | 8721a99aa0 |
13 | 425060c421 |
14 | 220c293316 |
15 | 1249d9a5e9 |
hex | a546323d8 |
44365456344 has 128 divisors (see below), whose sum is σ = 123213519360. Its totient is φ = 13310000000.
The previous prime is 44365456337. The next prime is 44365456363.
44365456344 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×443654563442 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 44365456293 and 44365456302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3219469 + ... + 3233219.
It is an arithmetic number, because the mean of its divisors is an integer number (962605620).
Almost surely, 244365456344 is an apocalyptic number.
44365456344 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 44365456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61606759680).
44365456344 is an abundant number, since it is smaller than the sum of its proper divisors (78848063016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44365456344 is a wasteful number, since it uses less digits than its factorization.
44365456344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13894 (or 13868 counting only the distinct ones).
The product of its digits is 8294400, while the sum is 48.
The spelling of 44365456344 in words is "forty-four billion, three hundred sixty-five million, four hundred fifty-six thousand, three hundred forty-four".
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