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142424365204665 = 3258093912219893
BaseRepresentation
bin100000011000100011000001…
…101100100000010010111001
3200200021122011220002101212200
4200120203001230200102321
5122131440044443022130
61222524503343100413
741666551353360225
oct4030430154402271
9620248156071780
10142424365204665
114142091a187305
1213b829678a1709
13616173845a16b
142725539c83785
15116ebb7e92760
hex8188c1b204b9

142424365204665 has 24 divisors (see below), whose sum is σ = 247174052902920. Its totient is φ = 75865768145664.

The previous prime is 142424365204663. The next prime is 142424365204679. The reversal of 142424365204665 is 566402563424241.

142424365204665 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 24 + 36 + 520 + 4 + 6 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28834193583504 + 113590171621161 = 5369748^2 + 10657869^2 .

It is not a de Polignac number, because 142424365204665 - 21 = 142424365204663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142424365204663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956073542 + ... + 1956146351.

It is an arithmetic number, because the mean of its divisors is an integer number (10298918870955).

Almost surely, 2142424365204665 is an apocalyptic number.

142424365204665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142424365204665 is a deficient number, since it is larger than the sum of its proper divisors (104749687698255).

142424365204665 is a wasteful number, since it uses less digits than its factorization.

142424365204665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912220713 (or 3912220710 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 142424365204665 in words is "one hundred forty-two trillion, four hundred twenty-four billion, three hundred sixty-five million, two hundred four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 809 2427 4045 7281 12135 36405 3912219893 11736659679 19561099465 35209979037 58683298395 176049895185 3164985893437 9494957680311 15824929467185 28484873040933 47474788401555 142424365204665