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3444105041 = 131009326249
BaseRepresentation
bin1100110101001000…
…1101111101010001
322220000200122220222
43031102031331101
524023142330131
61325431042425
7151230260366
oct31522157521
98800618828
103444105041
111508120103
12801510415
1342b6c8ca0
142495ac46d
1515256a87b
hexcd48df51

3444105041 has 8 divisors (see below), whose sum is σ = 3709545000. Its totient is φ = 3178737792.

The previous prime is 3444105029. The next prime is 3444105043. The reversal of 3444105041 is 1405014443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394856641 + 3049248400 = 19871^2 + 55220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3444105041 is a prime.

It is a super-2 number, since 2×34441050412 = 23723719066883223362, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3444105041.

It is not an unprimeable number, because it can be changed into a prime (3444105043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118085 + ... + 144333.

It is an arithmetic number, because the mean of its divisors is an integer number (463693125).

Almost surely, 23444105041 is an apocalyptic number.

It is an amenable number.

3444105041 is a deficient number, since it is larger than the sum of its proper divisors (265439959).

3444105041 is a wasteful number, since it uses less digits than its factorization.

3444105041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36355.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 3444105041 is about 58686.4979445869. The cubic root of 3444105041 is about 1510.1686931981.

Adding to 3444105041 its reverse (1405014443), we get a palindrome (4849119484).

The spelling of 3444105041 in words is "three billion, four hundred forty-four million, one hundred five thousand, forty-one".

Divisors: 1 13 10093 26249 131209 341237 264931157 3444105041