Base | Representation |
---|---|
bin | 1100111101111010010… |
… | …11100011110011011000 |
3 | 1120121001112101100222202 |
4 | 12132331023203303120 |
5 | 24244444210234134 |
6 | 540404013505332 |
7 | 44122165506521 |
oct | 6367513436330 |
9 | 1517045340882 |
10 | 445555555544 |
11 | 161a6054a560 |
12 | 724277a2248 |
13 | 33028686578 |
14 | 177ca529848 |
15 | b8caec5d7e |
hex | 67bd2e3cd8 |
445555555544 has 128 divisors (see below), whose sum is σ = 930295618560. Its totient is φ = 198374400000.
The previous prime is 445555555519. The next prime is 445555555583.
445555555544 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4455555555442 (a number of 24 digits) contains 22 as substring.
It is a zygodrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 445555555544.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361945409 + ... + 361946639.
It is an arithmetic number, because the mean of its divisors is an integer number (7267934520).
Almost surely, 2445555555544 is an apocalyptic number.
445555555544 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 445555555544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465147809280).
445555555544 is an abundant number, since it is smaller than the sum of its proper divisors (484740063016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
445555555544 is a wasteful number, since it uses less digits than its factorization.
445555555544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).
The product of its digits is 100000000, while the sum is 56.
The spelling of 445555555544 in words is "four hundred forty-five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred forty-four".
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