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330027006035441 = 1113294315431199447
BaseRepresentation
bin100101100001010000110011…
…0011101100000010111110001
31121021112021101111021002110002
41023002201212131200113301
5321224130302021113231
63125524151420315345
7126341443603530431
oct11302414635402761
91537467344232402
10330027006035441
119617a738136730
12310215406a2b55
131121c54a858aa0
145b6d56c7562c1
152824b5e4b10cb
hex12c28667605f1

330027006035441 has 64 divisors (see below), whose sum is σ = 410687924613120. Its totient is φ = 261007893699840.

The previous prime is 330027006035401. The next prime is 330027006035459. The reversal of 330027006035441 is 144530600720033.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330027006035441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330027006035395 and 330027006035404.

It is not an unprimeable number, because it can be changed into a prime (330027006035401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274549580 + ... + 275749026.

It is an arithmetic number, because the mean of its divisors is an integer number (6416998822080).

Almost surely, 2330027006035441 is an apocalyptic number.

It is an amenable number.

330027006035441 is a deficient number, since it is larger than the sum of its proper divisors (80660918577679).

330027006035441 is a wasteful number, since it uses less digits than its factorization.

330027006035441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201086.

The product of its (nonzero) digits is 181440, while the sum is 38.

Adding to 330027006035441 its reverse (144530600720033), we get a palindrome (474557606755474).

The spelling of 330027006035441 in words is "three hundred thirty trillion, twenty-seven billion, six million, thirty-five thousand, four hundred forty-one".

Divisors: 1 11 13 29 43 143 319 377 473 559 1247 1543 4147 6149 13717 16211 16973 20059 44747 66349 178321 220649 492217 581711 729839 862537 1199447 1924121 6398821 9487907 13193917 15592811 21165331 25013573 34783963 51576221 171520921 275149303 382623593 452191519 567338431 670490873 1495710409 1850746721 4974106709 7375399603 16452814499 19444235317 20358213931 24059707373 53671654909 79582109003 213886588487 264656781103 590388203999 697731513817 875403199033 1034567417039 2307881161087 7675046651987 11380241587429 25386692771957 30002455094131 330027006035441