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2405413441 is a prime number
BaseRepresentation
bin1000111101011111…
…1011001001000001
320012122012122220201
42033113323021001
514411241212231
61034404205201
7113415451114
oct21727731101
96178178821
102405413441
11102487a7a2
12571699801
132c4462982
1418b66c57b
15e1295161
hex8f5fb241

2405413441 has 2 divisors, whose sum is σ = 2405413442. Its totient is φ = 2405413440.

The previous prime is 2405413399. The next prime is 2405413457. The reversal of 2405413441 is 1443145042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2316978225 + 88435216 = 48135^2 + 9404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2405413441 - 27 = 2405413313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2405414441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1202706720 + 1202706721.

It is an arithmetic number, because the mean of its divisors is an integer number (1202706721).

Almost surely, 22405413441 is an apocalyptic number.

It is an amenable number.

2405413441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2405413441 is an equidigital number, since it uses as much as digits as its factorization.

2405413441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2405413441 is about 49045.0144357202. The cubic root of 2405413441 is about 1339.8717930729.

Adding to 2405413441 its reverse (1443145042), we get a palindrome (3848558483).

The spelling of 2405413441 in words is "two billion, four hundred five million, four hundred thirteen thousand, four hundred forty-one".