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42505384041 = 331613975991
BaseRepresentation
bin100111100101100001…
…001011000001101001
311001201021101020022000
4213211201023001221
51144022334242131
631305433521213
73033215542311
oct474541130151
9131637336260
1042505384041
11170321aa16a
1282a2b73209
134015148523
1420b3220441
15118b927ce6
hex9e584b069

42505384041 has 16 divisors (see below), whose sum is σ = 63010043520. Its totient is φ = 28319325840.

The previous prime is 42505384027. The next prime is 42505384049. The reversal of 42505384041 is 14048350524.

It is a happy number.

42505384041 is a `hidden beast` number, since 42 + 5 + 0 + 538 + 40 + 41 = 666.

It is not a de Polignac number, because 42505384041 - 27 = 42505383913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42505383987 and 42505384005.

It is not an unprimeable number, because it can be changed into a prime (42505384049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444445 + ... + 531546.

It is an arithmetic number, because the mean of its divisors is an integer number (3938127720).

Almost surely, 242505384041 is an apocalyptic number.

It is an amenable number.

42505384041 is a deficient number, since it is larger than the sum of its proper divisors (20504659479).

42505384041 is a wasteful number, since it uses less digits than its factorization.

42505384041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977613 (or 977607 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42505384041 in words is "forty-two billion, five hundred five million, three hundred eighty-four thousand, forty-one".

Divisors: 1 3 9 27 1613 4839 14517 43551 975991 2927973 8783919 26351757 1574273483 4722820449 14168461347 42505384041