Search a number
-
+
385741141 is a prime number
BaseRepresentation
bin10110111111011…
…111000101010101
3222212211200100221
4112333133011111
51242222204031
6102135434341
712362513512
oct2677370525
9885750327
10385741141
11188817035
12a92259b1
1361bbb3c6
1439332309
1523ce8a11
hex16fdf155

385741141 has 2 divisors, whose sum is σ = 385741142. Its totient is φ = 385741140.

The previous prime is 385741063. The next prime is 385741171. The reversal of 385741141 is 141147583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258277041 + 127464100 = 16071^2 + 11290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385741141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385741097 and 385741106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385741171) 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 as a sum of consecutive naturals, namely, 192870570 + 192870571.

It is an arithmetic number, because the mean of its divisors is an integer number (192870571).

Almost surely, 2385741141 is an apocalyptic number.

It is an amenable number.

385741141 is a deficient number, since it is larger than the sum of its proper divisors (1).

385741141 is an equidigital number, since it uses as much as digits as its factorization.

385741141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 34.

The square root of 385741141 is about 19640.2938114479. The cubic root of 385741141 is about 727.9451445253.

The spelling of 385741141 in words is "three hundred eighty-five million, seven hundred forty-one thousand, one hundred forty-one".