Base | Representation |
---|---|
bin | 1100111100100101000… |
… | …10000111011100111100 |
3 | 1120112012200000211202210 |
4 | 12132102202013130330 |
5 | 24242013023022234 |
6 | 540205014020420 |
7 | 44065360011141 |
oct | 6362242073474 |
9 | 1515180024683 |
10 | 444840048444 |
11 | 161723679480 |
12 | 72268047710 |
13 | 32c43377a9c |
14 | 1775d4b63c8 |
15 | b88828dbe9 |
hex | 679288773c |
444840048444 has 48 divisors (see below), whose sum is σ = 1162923382656. Its totient is φ = 131156769600.
The previous prime is 444840048409. The next prime is 444840048599.
444840048444 is nontrivially palindromic in base 10.
444840048444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×4448400484442 (a number of 24 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 444840048393 and 444840048402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45535662 + ... + 45545429.
It is an arithmetic number, because the mean of its divisors is an integer number (24227570472).
Almost surely, 2444840048444 is an apocalyptic number.
444840048444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
444840048444 is an abundant number, since it is smaller than the sum of its proper divisors (718083334212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444840048444 is a wasteful number, since it uses less digits than its factorization.
444840048444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91081146 (or 91081144 counting only the distinct ones).
The product of its (nonzero) digits is 4194304, while the sum is 48.
Multiplying 444840048444 by its sum of digits (48), we get a palindrome (21352322325312).
The spelling of 444840048444 in words is "four hundred forty-four billion, eight hundred forty million, forty-eight thousand, four hundred forty-four".
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