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42141113 = 717237563
BaseRepresentation
bin1010000011000…
…0010110111001
32221021222201222
42200300112321
541242003423
64103121425
71021123250
oct240602671
987258658
1042141113
1121873273
1212143275
138966291
14584d797
153a763c8
hex28305b9

42141113 has 24 divisors (see below), whose sum is σ = 52636992. Its totient is φ = 33018624.

The previous prime is 42141103. The next prime is 42141119. The reversal of 42141113 is 31114124.

It is a happy number.

It is not a de Polignac number, because 42141113 - 24 = 42141097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42141091 and 42141100.

It is not an unprimeable number, because it can be changed into a prime (42141119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74570 + ... + 75132.

It is an arithmetic number, because the mean of its divisors is an integer number (2193208).

Almost surely, 242141113 is an apocalyptic number.

It is an amenable number.

42141113 is a deficient number, since it is larger than the sum of its proper divisors (10495879).

42141113 is a wasteful number, since it uses less digits than its factorization.

42141113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 42141113 is about 6491.6186733356. The cubic root of 42141113 is about 347.9915249841.

Adding to 42141113 its reverse (31114124), we get a palindrome (73255237).

The spelling of 42141113 in words is "forty-two million, one hundred forty-one thousand, one hundred thirteen".

Divisors: 1 7 17 37 119 259 289 563 629 2023 3941 4403 9571 10693 20831 66997 74851 145817 162707 354127 1138949 2478889 6020159 42141113