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540541144991 is a prime number
BaseRepresentation
bin1111101110110101100…
…00110100111110011111
31220200020020112021010002
413313122300310332133
532324012013114431
61052153212404515
754024053631341
oct7673260647637
91820206467102
10540541144991
11199273425801
128891617673b
133bc85360173
141c23b617291
15e0d9dae3cb
hex7ddac34f9f

540541144991 has 2 divisors, whose sum is σ = 540541144992. Its totient is φ = 540541144990.

The previous prime is 540541144951. The next prime is 540541145063. The reversal of 540541144991 is 199441145045.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 540541144991 - 234 = 523361275807 is a prime.

It is a super-4 number, since 4×5405411449914 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540541144901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270270572495 + 270270572496.

It is an arithmetic number, because the mean of its divisors is an integer number (270270572496).

Almost surely, 2540541144991 is an apocalyptic number.

540541144991 is a deficient number, since it is larger than the sum of its proper divisors (1).

540541144991 is an equidigital number, since it uses as much as digits as its factorization.

540541144991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 540541144991 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty-four thousand, nine hundred ninety-one".