Base | Representation |
---|---|
bin | 101001010011111011… |
… | …110111011010010000 |
3 | 11020111101011112122000 |
4 | 221103323313122100 |
5 | 1211321104002334 |
6 | 32213331114000 |
7 | 3130141501506 |
oct | 512373673220 |
9 | 136441145560 |
10 | 44357875344 |
11 | 178a2956312 |
12 | 871b442900 |
13 | 424bb86923 |
14 | 220b27c676 |
15 | 124939e299 |
hex | a53ef7690 |
44357875344 has 160 divisors (see below), whose sum is σ = 130022451840. Its totient is φ = 14475552768.
The previous prime is 44357875333. The next prime is 44357875357.
44357875344 is a `hidden beast` number, since 4 + 4 + 35 + 78 + 7 + 534 + 4 = 666.
44357875344 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×443578753442 (a number of 22 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
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, 4315299 + ... + 4325565.
It is an arithmetic number, because the mean of its divisors is an integer number (812640324).
Almost surely, 244357875344 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 44357875344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011225920).
44357875344 is an abundant number, since it is smaller than the sum of its proper divisors (85664576496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44357875344 is a wasteful number, since it uses less digits than its factorization.
44357875344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10494 (or 10482 counting only the distinct ones).
The product of its digits is 22579200, while the sum is 54.
The spelling of 44357875344 in words is "forty-four billion, three hundred fifty-seven million, eight hundred seventy-five thousand, three hundred forty-four".
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