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41142056565 = 35311491633643
BaseRepresentation
bin100110010100010000…
…011111011001110101
310221012021001000120210
4212110100133121311
51133224331302230
630522253020033
72654352465531
oct462420373165
9127167030523
1041142056565
11164a2689045
127b82484619
133b58869b8c
141dc4136bc1
15110bdc8eb0
hex99441f675

41142056565 has 64 divisors (see below), whose sum is σ = 68845363200. Its totient is φ = 20956942080.

The previous prime is 41142056519. The next prime is 41142056567. The reversal of 41142056565 is 56565024114.

41142056565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41142056565 - 27 = 41142056437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142056567) 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, 11291634 + ... + 11295276.

It is an arithmetic number, because the mean of its divisors is an integer number (1075708800).

Almost surely, 241142056565 is an apocalyptic number.

It is an amenable number.

41142056565 is a deficient number, since it is larger than the sum of its proper divisors (27703306635).

41142056565 is a wasteful number, since it uses less digits than its factorization.

41142056565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 41142056565 in words is "forty-one billion, one hundred forty-two million, fifty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 15 31 93 149 155 163 447 465 489 745 815 2235 2445 3643 4619 5053 10929 13857 15159 18215 23095 24287 25265 54645 69285 72861 75795 112933 121435 338799 364305 542807 564665 593809 752897 1628421 1693995 1781427 2258691 2714035 2969045 3764485 8142105 8907135 11293455 16827017 18408079 50481051 55224237 84135085 88477541 92040395 252405255 265432623 276121185 442387705 1327163115 2742803771 8228411313 13714018855 41142056565