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4144040441 = 37756114813
BaseRepresentation
bin1111011100000001…
…0000100111111001
3101200210202001210022
43313000100213321
531441333243231
61523113100225
7204456522362
oct36700204771
911623661708
104144040441
111837225a12
129779b7675
13510714b48
142b452ab69
15193c28c7b
hexf70109f9

4144040441 has 8 divisors (see below), whose sum is σ = 4256891784. Its totient is φ = 4031233920.

The previous prime is 4144040423. The next prime is 4144040449. The reversal of 4144040441 is 1440404414.

4144040441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 565488400 + 3578552041 = 23780^2 + 59821^2 .

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-4144040441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4144040441.

It is not an unprimeable number, because it can be changed into a prime (4144040449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272351 + ... + 287163.

It is an arithmetic number, because the mean of its divisors is an integer number (532111473).

Almost surely, 24144040441 is an apocalyptic number.

It is an amenable number.

4144040441 is a deficient number, since it is larger than the sum of its proper divisors (112851343).

4144040441 is a wasteful number, since it uses less digits than its factorization.

4144040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22411.

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4144040441 is about 64374.2218671418. The cubic root of 4144040441 is about 1606.2309686491.

Adding to 4144040441 its reverse (1440404414), we get a palindrome (5584444855).

The spelling of 4144040441 in words is "four billion, one hundred forty-four million, forty thousand, four hundred forty-one".

Divisors: 1 37 7561 14813 279757 548081 112001093 4144040441