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41014144 = 27714513
BaseRepresentation
bin1001110001110…
…1001110000000
32212011201211101
42130131032000
540444423034
64023024144
71005420523
oct234351600
985151741
1041014144
1121173596
121189b054
138660332
145638bba
153902514
hex271d380

41014144 has 32 divisors (see below), whose sum is σ = 82877040. Its totient is φ = 20213760.

The previous prime is 41014123. The next prime is 41014151. The reversal of 41014144 is 44141014.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6832 + ... + 11344.

Almost surely, 241014144 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 41014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41438520).

41014144 is an abundant number, since it is smaller than the sum of its proper divisors (41862896).

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

41014144 is an equidigital number, since it uses as much as digits as its factorization.

41014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 41014144 is about 6404.2286030403. The cubic root of 41014144 is about 344.8613711744.

Adding to 41014144 its reverse (44141014), we get a palindrome (85155158).

The spelling of 41014144 in words is "forty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4513 4544 9026 9088 18052 36104 72208 144416 288832 320423 577664 640846 1281692 2563384 5126768 10253536 20507072 41014144