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42441214424 = 237757878829
BaseRepresentation
bin100111100001101100…
…011000100111011000
311001112210122002010112
4213201230120213120
51143404422330144
631255222303452
73031506241010
oct474154304730
9131483562115
1042441214424
1116aa9a60624
128285587b88
134004a6b73b
1420a88b8c40
151185e9e99e
hex9e1b189d8

42441214424 has 16 divisors (see below), whose sum is σ = 90945459600. Its totient is φ = 18189091872.

The previous prime is 42441214399. The next prime is 42441214433.

42441214424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 378939359 + ... + 378939470.

It is an arithmetic number, because the mean of its divisors is an integer number (5684091225).

Almost surely, 242441214424 is an apocalyptic number.

It is an amenable number.

42441214424 is an abundant number, since it is smaller than the sum of its proper divisors (48504245176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42441214424 is a wasteful number, since it uses less digits than its factorization.

42441214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757878842 (or 757878838 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 42441214424 in words is "forty-two billion, four hundred forty-one million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 757878829 1515757658 3031515316 5305151803 6063030632 10610303606 21220607212 42441214424