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42227382141 = 327295753701
BaseRepresentation
bin100111010100111100…
…101011011101111101
311000222220021021101100
4213110330223131331
51142440202212031
631222103203313
73023301553200
oct472474533575
9130886237340
1042227382141
11169aa29022a
128225a46539
133c9c680469
142088335937
151172311de6
hex9d4f2b77d

42227382141 has 18 divisors (see below), whose sum is σ = 70953493182. Its totient is φ = 24129932400.

The previous prime is 42227382107. The next prime is 42227382161. The reversal of 42227382141 is 14128372224.

42227382141 is a `hidden beast` number, since 42 + 227 + 382 + 14 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30307328100 + 11920054041 = 174090^2 + 109179^2 .

It is not a de Polignac number, because 42227382141 - 26 = 42227382077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42227382096 and 42227382105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227382161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47876410 + ... + 47877291.

Almost surely, 242227382141 is an apocalyptic number.

It is an amenable number.

42227382141 is a deficient number, since it is larger than the sum of its proper divisors (28726111041).

42227382141 is a wasteful number, since it uses less digits than its factorization.

42227382141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95753721 (or 95753711 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 42227382141 in words is "forty-two billion, two hundred twenty-seven million, three hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 95753701 287261103 670275907 861783309 2010827721 4691931349 6032483163 14075794047 42227382141