Search a number
-
+
4417131541 is a prime number
BaseRepresentation
bin1000001110100100…
…00001010000010101
3102101211121112100111
410013102001100111
533021241202131
62010150243021
7214313666344
oct40722012025
912354545314
104417131541
1119673a0339
12a33356471
13555180904
142dc8d7b5b
151acbbeab1
hex107481415

4417131541 has 2 divisors, whose sum is σ = 4417131542. Its totient is φ = 4417131540.

The previous prime is 4417131479. The next prime is 4417131557. The reversal of 4417131541 is 1451317144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2587858641 + 1829272900 = 50871^2 + 42770^2 .

It is a cyclic number.

It is not a de Polignac number, because 4417131541 - 213 = 4417123349 is a prime.

It is a super-2 number, since 2×44171315412 = 39022102100994069362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4417131041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2208565770 + 2208565771.

It is an arithmetic number, because the mean of its divisors is an integer number (2208565771).

Almost surely, 24417131541 is an apocalyptic number.

It is an amenable number.

4417131541 is a deficient number, since it is larger than the sum of its proper divisors (1).

4417131541 is an equidigital number, since it uses as much as digits as its factorization.

4417131541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 31.

The square root of 4417131541 is about 66461.5042035613. The cubic root of 4417131541 is about 1640.7664894433.

Adding to 4417131541 its reverse (1451317144), we get a palindrome (5868448685).

The spelling of 4417131541 in words is "four billion, four hundred seventeen million, one hundred thirty-one thousand, five hundred forty-one".