Base | Representation |
---|---|
bin | 1100110111011110100… |
… | …01110111001010111100 |
3 | 1120021010210012220112220 |
4 | 12123233101313022330 |
5 | 24220410340214434 |
6 | 535033132525340 |
7 | 43640451233265 |
oct | 6335721671274 |
9 | 1507123186486 |
10 | 442101101244 |
11 | 160548600950 |
12 | 71822920850 |
13 | 328c7aa5a7a |
14 | 1757d82596c |
15 | b777ab3d49 |
hex | 66ef4772bc |
442101101244 has 144 divisors (see below), whose sum is σ = 1227752238720. Its totient is φ = 122681226240.
The previous prime is 442101101201. The next prime is 442101101263.
442101101244 is nontrivially palindromic in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254867 + ... + 1568085.
Almost surely, 2442101101244 is an apocalyptic number.
442101101244 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 442101101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613876119360).
442101101244 is an abundant number, since it is smaller than the sum of its proper divisors (785651137476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442101101244 is a wasteful number, since it uses less digits than its factorization.
442101101244 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 313308 (or 313289 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
It can be divided in two parts, 442101 and 101244, that added together give a palindrome (543345).
The spelling of 442101101244 in words is "four hundred forty-two billion, one hundred one million, one hundred one thousand, two hundred forty-four".
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