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544426340031 = 327312111321157
BaseRepresentation
bin1111110110000100101…
…01101010111010111111
31221001021000012121202200
413323002111222322333
532404441120340111
61054034521522543
754222251351520
oct7730225527277
91831230177680
10544426340031
1119a9875262a2
128961b343453
133c454256442
141c4c9604847
15e266008256
hex7ec256aebf

544426340031 has 48 divisors (see below), whose sum is σ = 932124530688. Its totient is φ = 299638180800.

The previous prime is 544426340027. The next prime is 544426340041. The reversal of 544426340031 is 130043624445.

544426340031 is a `hidden beast` number, since 544 + 42 + 6 + 3 + 40 + 0 + 31 = 666.

It is not a de Polignac number, because 544426340031 - 22 = 544426340027 is a prime.

It is a super-2 number, since 2×5444263400312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544426340041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248496 + ... + 1072661.

It is an arithmetic number, because the mean of its divisors is an integer number (19419261056).

Almost surely, 2544426340031 is an apocalyptic number.

544426340031 is a deficient number, since it is larger than the sum of its proper divisors (387698190657).

544426340031 is a wasteful number, since it uses less digits than its factorization.

544426340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321412 (or 1321409 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 544426340031 its reverse (130043624445), we get a palindrome (674469964476).

The spelling of 544426340031 in words is "five hundred forty-four billion, four hundred twenty-six million, three hundred forty thousand, thirty-one".

Divisors: 1 3 7 9 21 31 63 93 211 217 279 633 651 1477 1899 1953 4431 6541 13293 19623 45787 58869 137361 412083 1321157 3963471 9248099 11890413 27744297 40955867 83232891 122867601 278764127 286691069 368602803 836292381 860073207 1951348889 2508877143 2580219621 5854046667 8641687937 17562140001 25925063811 60491815559 77775191433 181475446677 544426340031