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4144413425 = 521711386297
BaseRepresentation
bin1111011100000110…
…1011101011110001
3101200211110000102112
43313001223223301
531441432212200
61523125055105
7204462634655
oct36701535361
911624400375
104144413425
111837460169
12977b57495
13510815849
142b45c6a65
15193c9e535
hexf706baf1

4144413425 has 24 divisors (see below), whose sum is σ = 5489588376. Its totient is φ = 3092848640.

The previous prime is 4144413421. The next prime is 4144413433. The reversal of 4144413425 is 5243144414.

It can be written as a sum of positive squares in 12 ways, for example, as 2923889329 + 1220524096 = 54073^2 + 34936^2 .

It is not a de Polignac number, because 4144413425 - 22 = 4144413421 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4144413391 and 4144413400.

It is not an unprimeable number, because it can be changed into a prime (4144413421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4877 + ... + 91173.

It is an arithmetic number, because the mean of its divisors is an integer number (228732849).

Almost surely, 24144413425 is an apocalyptic number.

It is an amenable number.

4144413425 is a deficient number, since it is larger than the sum of its proper divisors (1345174951).

4144413425 is a wasteful number, since it uses less digits than its factorization.

4144413425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86437 (or 86432 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 4144413425 is about 64377.1188000830. The cubic root of 4144413425 is about 1606.2791567631.

Adding to 4144413425 its reverse (5243144414), we get a palindrome (9387557839).

The spelling of 4144413425 in words is "four billion, one hundred forty-four million, four hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 113 425 565 1921 2825 9605 48025 86297 431485 1467049 2157425 7335245 9751561 36676225 48757805 165776537 243789025 828882685 4144413425