Base | Representation |
---|---|
bin | 1001111000011… |
… | …0001100110000 |
3 | 2212222120200022 |
4 | 2132012030300 |
5 | 41102203034 |
6 | 4040143012 |
7 | 1012161260 |
oct | 236061460 |
9 | 85876608 |
10 | 41444144 |
11 | 21437665 |
12 | 11a67a68 |
13 | 8780c81 |
14 | 570b7a0 |
15 | 3989b2e |
hex | 2786330 |
41444144 has 80 divisors (see below), whose sum is σ = 96237888. Its totient is φ = 16920576.
The previous prime is 41444129. The next prime is 41444159. The reversal of 41444144 is 44144414.
It is an interprime number because it is at equal distance from previous prime (41444129) and next prime (41444159).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (4096) is a multiple of the sum of its prime divisors (256).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302444 + ... + 302580.
Almost surely, 241444144 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 41444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48118944).
41444144 is an abundant number, since it is smaller than the sum of its proper divisors (54793744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41444144 is a wasteful number, since it uses less digits than its factorization.
41444144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262 (or 256 counting only the distinct ones).
The product of its digits is 4096, while the sum is 26.
The square root of 41444144 is about 6437.7126372649. The cubic root of 41444144 is about 346.0623808583.
Adding to 41444144 its reverse (44144414), we get a palindrome (85588558).
The spelling of 41444144 in words is "forty-one million, four hundred forty-four thousand, one hundred forty-four".
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