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42114335565141 = 32717188920816539
BaseRepresentation
bin10011001001101100000100…
…00000101110010101010101
312112010002110110022100221100
421210312002000232111111
521010000124401041031
6225323020401140313
711604442331602620
oct1144660200562525
9175102413270840
1042114335565141
1112467653565254
12488205992a699
131a6649861b298
14a584b7c92db7
154d075574dde6
hex264d8202e555

42114335565141 has 48 divisors (see below), whose sum is σ = 73650583843200. Its totient is φ = 22637735276544.

The previous prime is 42114335565139. The next prime is 42114335565161. The reversal of 42114335565141 is 14156553341124.

42114335565141 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 4 + 3 + 3 + 556 + 51 + 41 = 666.

It is not a de Polignac number, because 42114335565141 - 21 = 42114335565139 is a prime.

It is a super-2 number, since 2×421143355651412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114335565161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8385151 + ... + 12431388.

It is an arithmetic number, because the mean of its divisors is an integer number (1534387163400).

Almost surely, 242114335565141 is an apocalyptic number.

It is an amenable number.

42114335565141 is a deficient number, since it is larger than the sum of its proper divisors (31536248278059).

42114335565141 is a wasteful number, since it uses less digits than its factorization.

42114335565141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818458 (or 20818455 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 42114335565141 in words is "forty-two trillion, one hundred fourteen billion, three hundred thirty-five million, five hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1889 5667 13223 17001 32113 39669 96339 119007 224791 289017 674373 2023119 20816539 62449617 145715773 187348851 353881163 437147319 1061643489 1311441957 2477168141 3184930467 7431504423 22294513269 39322442171 117967326513 275257095197 353901979539 668481516907 825771285591 2005444550721 2477313856773 4679370618349 6016333652163 14038111855047 42114335565141