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4144091513 = 17214339417
BaseRepresentation
bin1111011100000001…
…1101000101111001
3101200210211122211212
43313000131011321
531441341412023
61523114132505
7204460124312
oct36700350571
911623748755
104144091513
111837260321
12977a21135
13510732173
142b4541609
15193c38e78
hexf701d179

4144091513 has 6 divisors (see below), whose sum is σ = 4402201326. Its totient is φ = 3900321152.

The previous prime is 4144091507. The next prime is 4144091519. The reversal of 4144091513 is 3151904414.

It is an interprime number because it is at equal distance from previous prime (4144091507) and next prime (4144091519).

It can be written as a sum of positive squares in 3 ways, for example, as 374499904 + 3769591609 = 19352^2 + 61397^2 .

It is not a de Polignac number, because 4144091513 - 26 = 4144091449 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 4144091513.

It is not an unprimeable number, because it can be changed into a prime (4144091519) 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 5 ways as a sum of consecutive naturals, for example, 7169420 + ... + 7169997.

It is an arithmetic number, because the mean of its divisors is an integer number (733700221).

Almost surely, 24144091513 is an apocalyptic number.

It is an amenable number.

4144091513 is a deficient number, since it is larger than the sum of its proper divisors (258109813).

4144091513 is a wasteful number, since it uses less digits than its factorization.

4144091513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339451 (or 14339434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 4144091513 is about 64374.6185464427. The cubic root of 4144091513 is about 1606.2375671281.

Adding to 4144091513 its reverse (3151904414), we get a palindrome (7295995927).

The spelling of 4144091513 in words is "four billion, one hundred forty-four million, ninety-one thousand, five hundred thirteen".

Divisors: 1 17 289 14339417 243770089 4144091513