Base | Representation |
---|---|
bin | 10100001010111010100111… |
… | …10100100100011010010000 |
3 | 12211001100101101201122111211 |
4 | 22011131103310210122100 |
5 | 21303210113042232334 |
6 | 234200352324145504 |
7 | 12225403320313414 |
oct | 1205352364443220 |
9 | 184040341648454 |
10 | 44355533555344 |
11 | 13151092389020 |
12 | 4b84496538294 |
13 | 1b9992a4c37cb |
14 | ad4b6815ad44 |
15 | 51dbc8927a64 |
hex | 285753d24690 |
44355533555344 has 160 divisors (see below), whose sum is σ = 98181144576000. Its totient is φ = 19215443681280.
The previous prime is 44355533555341. The next prime is 44355533555357.
44355533555344 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×443555335553442 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (44355533555341) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343154417 + ... + 1343187439.
It is an arithmetic number, because the mean of its divisors is an integer number (613632153600).
Almost surely, 244355533555344 is an apocalyptic number.
44355533555344 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 44355533555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49090572288000).
44355533555344 is an abundant number, since it is smaller than the sum of its proper divisors (53825611020656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44355533555344 is a wasteful number, since it uses less digits than its factorization.
44355533555344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34253 (or 34247 counting only the distinct ones).
The product of its digits is 324000000, while the sum is 58.
The spelling of 44355533555344 in words is "forty-four trillion, three hundred fifty-five billion, five hundred thirty-three million, five hundred fifty-five thousand, three hundred forty-four".
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