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540241409 is a prime number
BaseRepresentation
bin100000001100110…
…110111000000001
31101122120002220002
4200030312320001
52101300211114
6125335125345
716246655561
oct4014667001
91348502802
10540241409
11257a52404
12130b13855
1387c04796
1451a6cda1
15326667de
hex20336e01

540241409 has 2 divisors, whose sum is σ = 540241410. Its totient is φ = 540241408.

The previous prime is 540241397. The next prime is 540241447. The reversal of 540241409 is 904142045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 532317184 + 7924225 = 23072^2 + 2815^2 .

It is a cyclic number.

It is not a de Polignac number, because 540241409 - 24 = 540241393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540241469) 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, 270120704 + 270120705.

It is an arithmetic number, because the mean of its divisors is an integer number (270120705).

Almost surely, 2540241409 is an apocalyptic number.

It is an amenable number.

540241409 is a deficient number, since it is larger than the sum of its proper divisors (1).

540241409 is an equidigital number, since it uses as much as digits as its factorization.

540241409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 540241409 is about 23243.0937914900. The cubic root of 540241409 is about 814.4466159447.

The spelling of 540241409 in words is "five hundred forty million, two hundred forty-one thousand, four hundred nine".