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504440050342041 = 331141183151226183
BaseRepresentation
bin111001010110010010001101…
…0000000101101100010011001
32110011001222221102121220011000
41302230210122000231202121
51012104221210341421131
64544504320541455213
7211152406461233442
oct16254443200554231
92404058842556130
10504440050342041
11136803907769570
12486aba40271509
1318861653427ca8
148c7d058ab22c9
153d4b99b3cece6
hex1cac91a02d899

504440050342041 has 64 divisors (see below), whose sum is σ = 835149207674880. Its totient is φ = 298261679760000.

The previous prime is 504440050342009. The next prime is 504440050342069. The reversal of 504440050342041 is 140243050044405.

504440050342041 is a `hidden beast` number, since 5 + 0 + 4 + 440 + 0 + 5 + 0 + 3 + 4 + 204 + 1 = 666.

It is not a de Polignac number, because 504440050342041 - 25 = 504440050342009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 504440050341987 and 504440050342005.

It is not an unprimeable number, because it can be changed into a prime (504440050342441) 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, 2230116636 + ... + 2230342818.

It is an arithmetic number, because the mean of its divisors is an integer number (13049206369920).

Almost surely, 2504440050342041 is an apocalyptic number.

It is an amenable number.

504440050342041 is a deficient number, since it is larger than the sum of its proper divisors (330709157332839).

504440050342041 is a wasteful number, since it uses less digits than its factorization.

504440050342041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409395 (or 409389 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 504440050342041 in words is "five hundred four trillion, four hundred forty billion, fifty million, three hundred forty-two thousand, forty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 183151 226183 549453 678549 1648359 2014661 2035647 2488013 4945077 6043983 6106941 7464039 7509191 9273503 18131949 22392117 22527573 27820509 54395847 67176351 67582719 82601101 83461527 102008533 202748157 247803303 250384581 306025599 743409909 918076797 2230229727 2754230391 41425642633 124276927899 372830783697 455682068963 1118492351091 1367046206889 1698451347953 4101138620667 5095354043859 12303415862001 15286062131577 18682964827483 45858186394731 56048894482449 168146683447347 504440050342041