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41414141 = 4173101137
BaseRepresentation
bin1001110111111…
…0110111111101
32212221001112002
42131332313331
541100223031
64035352045
71012004636
oct235766775
985831462
1041414141
112141706a
1211a52625
138770412
14570088d
153980ccb
hex277edfd

41414141 has 16 divisors (see below), whose sum is σ = 43748208. Its totient is φ = 39168000.

The previous prime is 41414111. The next prime is 41414143. The reversal of 41414141 is 14141414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 326041 + 41088100 = 571^2 + 6410^2 .

It is a cyclic number.

It is not a de Polignac number, because 41414141 - 218 = 41151997 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

41414141 is an undulating number in base 10.

41414141 is a modest number, since divided by 414141 gives 41 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41414143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302225 + ... + 302361.

It is an arithmetic number, because the mean of its divisors is an integer number (2734263).

Almost surely, 241414141 is an apocalyptic number.

41414141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41414141 is a deficient number, since it is larger than the sum of its proper divisors (2334067).

41414141 is a wasteful number, since it uses less digits than its factorization.

41414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352.

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

The square root of 41414141 is about 6435.3819622459. The cubic root of 41414141 is about 345.9788514366.

Adding to 41414141 its reverse (14141414), we get a palindrome (55555555).

The spelling of 41414141 in words is "forty-one million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 41 73 101 137 2993 4141 5617 7373 10001 13837 302293 410041 567317 1010101 41414141