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544411306001 is a prime number
BaseRepresentation
bin1111110110000010111…
…00010100100000010001
31221001012221220210221202
413323001130110200101
532404423243243001
61054033223400545
754222006514523
oct7730134244021
91831187823852
10544411306001
1119a979a97a82
12896162b3155
133c4510c1474
141c4c760da13
15e264a3896b
hex7ec1714811

544411306001 has 2 divisors, whose sum is σ = 544411306002. Its totient is φ = 544411306000.

The previous prime is 544411305929. The next prime is 544411306031. The reversal of 544411306001 is 100603114445.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332075587600 + 212335718401 = 576260^2 + 460799^2 .

It is a cyclic number.

It is not a de Polignac number, because 544411306001 - 230 = 543337564177 is a prime.

It is a super-2 number, since 2×5444113060012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (544411306031) 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, 272205653000 + 272205653001.

It is an arithmetic number, because the mean of its divisors is an integer number (272205653001).

Almost surely, 2544411306001 is an apocalyptic number.

It is an amenable number.

544411306001 is a deficient number, since it is larger than the sum of its proper divisors (1).

544411306001 is an equidigital number, since it uses as much as digits as its factorization.

544411306001 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 spelling of 544411306001 in words is "five hundred forty-four billion, four hundred eleven million, three hundred six thousand, one".