Search a number
-
+
438496141 is a prime number
BaseRepresentation
bin11010001000101…
…110101110001101
31010120002220121211
4122020232232031
51344223334031
6111302254421
713603104256
oct3210565615
91116086554
10438496141
11205579706
12102a27411
136cacc795
1442345b2d
1528769bb1
hex1a22eb8d

438496141 has 2 divisors, whose sum is σ = 438496142. Its totient is φ = 438496140.

The previous prime is 438496129. The next prime is 438496151. The reversal of 438496141 is 141694834.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337493641 + 101002500 = 18371^2 + 10050^2 .

It is a cyclic number.

It is not a de Polignac number, because 438496141 - 25 = 438496109 is a prime.

It is equal to p23274994 and since 438496141 and 23274994 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 438496094 and 438496103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (438496111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219248070 + 219248071.

It is an arithmetic number, because the mean of its divisors is an integer number (219248071).

Almost surely, 2438496141 is an apocalyptic number.

It is an amenable number.

438496141 is a deficient number, since it is larger than the sum of its proper divisors (1).

438496141 is an equidigital number, since it uses as much as digits as its factorization.

438496141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 40.

The square root of 438496141 is about 20940.2994486707. The cubic root of 438496141 is about 759.7229720937.

The spelling of 438496141 in words is "four hundred thirty-eight million, four hundred ninety-six thousand, one hundred forty-one".