Search a number
-
+
4137881249 is a prime number
BaseRepresentation
bin1111011010100011…
…0000111010100001
3101200101011010222002
43312220300322201
531433244144444
61522333053345
7204353260505
oct36650607241
911611133862
104137881249
1118337a9477
12975927255
1350c369558
142b37a6305
1519340dd4e
hexf6a30ea1

4137881249 has 2 divisors, whose sum is σ = 4137881250. Its totient is φ = 4137881248.

The previous prime is 4137881219. The next prime is 4137881299. The reversal of 4137881249 is 9421887314.

4137881249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4109451025 + 28430224 = 64105^2 + 5332^2 .

It is a cyclic number.

It is not a de Polignac number, because 4137881249 - 28 = 4137880993 is a prime.

It is a super-3 number, since 3×41378812493 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4137881219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2068940624 + 2068940625.

It is an arithmetic number, because the mean of its divisors is an integer number (2068940625).

Almost surely, 24137881249 is an apocalyptic number.

It is an amenable number.

4137881249 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137881249 is an equidigital number, since it uses as much as digits as its factorization.

4137881249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 387072, while the sum is 47.

The square root of 4137881249 is about 64326.3651157129. The cubic root of 4137881249 is about 1605.4348060302.

The spelling of 4137881249 in words is "four billion, one hundred thirty-seven million, eight hundred eighty-one thousand, two hundred forty-nine".