Search a number
-
+
457100141 is a prime number
BaseRepresentation
bin11011001111101…
…100101101101101
31011212010002111212
4123033230231231
51414004201031
6113205124205
714220200321
oct3317545555
91155102455
10457100141
11215026113
121090b9665
1373914674
14449c9981
152a1e212b
hex1b3ecb6d

457100141 has 2 divisors, whose sum is σ = 457100142. Its totient is φ = 457100140.

The previous prime is 457100123. The next prime is 457100213. The reversal of 457100141 is 141001754.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 422466916 + 34633225 = 20554^2 + 5885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-457100141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457100101) 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, 228550070 + 228550071.

It is an arithmetic number, because the mean of its divisors is an integer number (228550071).

Almost surely, 2457100141 is an apocalyptic number.

It is an amenable number.

457100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

457100141 is an equidigital number, since it uses as much as digits as its factorization.

457100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 457100141 is about 21379.9003973358. The cubic root of 457100141 is about 770.3187194653.

Adding to 457100141 its reverse (141001754), we get a palindrome (598101895).

The spelling of 457100141 in words is "four hundred fifty-seven million, one hundred thousand, one hundred forty-one".