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540416040049 is a prime number
BaseRepresentation
bin1111101110100110100…
…11100101110001110001
31220122220112010021101201
413313103103211301301
532323233001240144
61052132543131201
754021004356034
oct7672323456161
91818815107351
10540416040049
11199209847596
12888a02a3b01
133bc65469782
141c228b6d01b
15e0cddeb1d4
hex7dd34e5c71

540416040049 has 2 divisors, whose sum is σ = 540416040050. Its totient is φ = 540416040048.

The previous prime is 540416040029. The next prime is 540416040053. The reversal of 540416040049 is 940040614045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480387610000 + 60028430049 = 693100^2 + 245007^2 .

It is a cyclic number.

It is not a de Polignac number, because 540416040049 - 221 = 540413942897 is a prime.

It is not a weakly prime, because it can be changed into another prime (540416040029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270208020024 + 270208020025.

It is an arithmetic number, because the mean of its divisors is an integer number (270208020025).

Almost surely, 2540416040049 is an apocalyptic number.

It is an amenable number.

540416040049 is a deficient number, since it is larger than the sum of its proper divisors (1).

540416040049 is an equidigital number, since it uses as much as digits as its factorization.

540416040049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 540416040049 in words is "five hundred forty billion, four hundred sixteen million, forty thousand, forty-nine".