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41114144 = 254131337
BaseRepresentation
bin1001110011010…
…1101000100000
32212100211000002
42130311220200
541011123034
64025115132
71006315211
oct234655040
985324002
1041114144
1121231735
1211928aa8
1386969c6
145663408
153921e7e
hex2735a20

41114144 has 24 divisors (see below), whose sum is σ = 82920348. Its totient is φ = 20055040.

The previous prime is 41114131. The next prime is 41114147. The reversal of 41114144 is 44141114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41113744 + 400 = 6412^2 + 20^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41114147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14357 + ... + 16980.

Almost surely, 241114144 is an apocalyptic number.

It is an amenable number.

41114144 is an abundant number, since it is smaller than the sum of its proper divisors (41806204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41114144 is a wasteful number, since it uses less digits than its factorization.

41114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31388 (or 31380 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 41114144 is about 6412.0311914400. The cubic root of 41114144 is about 345.1414221017.

Adding to 41114144 its reverse (44141114), we get a palindrome (85255258).

The spelling of 41114144 in words is "forty-one million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 31337 62674 125348 250696 501392 1002784 1284817 2569634 5139268 10278536 20557072 41114144