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4144313241 = 365684929
BaseRepresentation
bin1111011100000101…
…0011001110011001
3101200211020221000000
43313001103032121
531441421010431
61523123003213
7204462036615
oct36701231631
911624227000
104144313241
1118373a1972
12977b09509
135107ac073
142b459c345
15193c7e9e6
hexf7053399

4144313241 has 14 divisors (see below), whose sum is σ = 6213628490. Its totient is φ = 2762875008.

The previous prime is 4144313209. The next prime is 4144313281. The reversal of 4144313241 is 1423134414.

4144313241 is a `hidden beast` number, since 414 + 4 + 3 + 1 + 3 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3766399641 + 377913600 = 61371^2 + 19440^2 .

It is not a de Polignac number, because 4144313241 - 25 = 4144313209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144313281) 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 13 ways as a sum of consecutive naturals, for example, 2841736 + ... + 2843193.

Almost surely, 24144313241 is an apocalyptic number.

It is an amenable number.

4144313241 is a deficient number, since it is larger than the sum of its proper divisors (2069315249).

4144313241 is an frugal number, since it uses more digits than its factorization.

4144313241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684947 (or 5684932 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4144313241 is about 64376.3406928353. The cubic root of 4144313241 is about 1606.2662136554.

Adding to 4144313241 its reverse (1423134414), we get a palindrome (5567447655).

The spelling of 4144313241 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 5684929 17054787 51164361 153493083 460479249 1381437747 4144313241