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42120141 = 3719910079
BaseRepresentation
bin1010000010101…
…1001111001101
32221020220222020
42200223033031
541240321031
64102440353
71021005150
oct240531715
987226866
1042120141
1121859538
12121330b9
13895987b
145845c97
153a70096
hex282b3cd

42120141 has 16 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 23945328.

The previous prime is 42120119. The next prime is 42120157. The reversal of 42120141 is 14102124.

42120141 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 42120141 - 215 = 42087373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42120141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 9218.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 242120141 is an apocalyptic number.

It is an amenable number.

42120141 is a deficient number, since it is larger than the sum of its proper divisors (22391859).

42120141 is a wasteful number, since it uses less digits than its factorization.

42120141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42120141 is about 6490.0031587049. The cubic root of 42120141 is about 347.9337881033.

Adding to 42120141 its reverse (14102124), we get a palindrome (56222265).

The spelling of 42120141 in words is "forty-two million, one hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 7 21 199 597 1393 4179 10079 30237 70553 211659 2005721 6017163 14040047 42120141