Search a number
-
+
2541441157 is a prime number
BaseRepresentation
bin1001011101111011…
…0101000010000101
320120010011120212021
42113132311002011
520201102104112
61100103523141
7116656615303
oct22736650205
96503146767
102541441157
1110946393a2
125ab1594b1
133166abc48
141a175b273
15ed1b4907
hex977b5085

2541441157 has 2 divisors, whose sum is σ = 2541441158. Its totient is φ = 2541441156.

The previous prime is 2541441137. The next prime is 2541441173. The reversal of 2541441157 is 7511441452.

2541441157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2476654756 + 64786401 = 49766^2 + 8049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2541441157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2541441127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270720578 + 1270720579.

It is an arithmetic number, because the mean of its divisors is an integer number (1270720579).

Almost surely, 22541441157 is an apocalyptic number.

It is an amenable number.

2541441157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541441157 is an equidigital number, since it uses as much as digits as its factorization.

2541441157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22400, while the sum is 34.

The square root of 2541441157 is about 50412.7082886845. The cubic root of 2541441157 is about 1364.6669892108. Note that the first 3 decimals are identical.

The spelling of 2541441157 in words is "two billion, five hundred forty-one million, four hundred forty-one thousand, one hundred fifty-seven".