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540412423353 = 34111016005183
BaseRepresentation
bin1111101110100110001…
…01110010110010111001
31220122220021022112020000
413313103011302302321
532323231040021403
61052132333423213
754020631543525
oct7672305626271
91818807275200
10540412423353
111992077a7290
128889b03ab09
133bc647a150a
141c2284aad85
15e0cd9347a3
hex7dd3172cb9

540412423353 has 40 divisors (see below), whose sum is σ = 889391771136. Its totient is φ = 324279828000.

The previous prime is 540412423297. The next prime is 540412423361. The reversal of 540412423353 is 353324214045.

540412423353 is a `hidden beast` number, since 5 + 4 + 0 + 412 + 4 + 233 + 5 + 3 = 666.

It is not a de Polignac number, because 540412423353 - 218 = 540412161209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540412425353) 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 in 39 ways as a sum of consecutive naturals, for example, 2912601 + ... + 3092582.

Almost surely, 2540412423353 is an apocalyptic number.

It is an amenable number.

540412423353 is a deficient number, since it is larger than the sum of its proper divisors (348979347783).

540412423353 is a wasteful number, since it uses less digits than its factorization.

540412423353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005307 (or 6005298 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 540412423353 its reverse (353324214045), we get a palindrome (893736637398).

The spelling of 540412423353 in words is "five hundred forty billion, four hundred twelve million, four hundred twenty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 11 27 33 81 99 101 297 303 891 909 1111 2727 3333 8181 9999 29997 89991 6005183 18015549 54046647 66057013 162139941 198171039 486419823 594513117 606523483 1783539351 1819570449 5350618053 5458711347 6671758313 16376134041 20015274939 49128402123 60045824817 180137474451 540412423353