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42284542338 = 2327343973303
BaseRepresentation
bin100111011000010110…
…101110100110000010
311001010212211022102200
4213120112232212002
51143044320323323
631231504254030
73024564452043
oct473026564602
9131125738380
1042284542338
1116a29581565
128241011316
133cab47496c
142091b748ca
151177353443
hex9d85ae982

42284542338 has 48 divisors (see below), whose sum is σ = 93084351360. Its totient is φ = 13869911232.

The previous prime is 42284542331. The next prime is 42284542387. The reversal of 42284542338 is 83324548224.

42284542338 is a `hidden beast` number, since 4 + 22 + 84 + 542 + 3 + 3 + 8 = 666.

It is a super-2 number, since 2×422845423382 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42284542293 and 42284542302.

It is not an unprimeable number, because it can be changed into a prime (42284542331) 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, 540195 + ... + 613497.

It is an arithmetic number, because the mean of its divisors is an integer number (1939257320).

Almost surely, 242284542338 is an apocalyptic number.

42284542338 is an abundant number, since it is smaller than the sum of its proper divisors (50799809022).

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

42284542338 is a wasteful number, since it uses less digits than its factorization.

42284542338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73823 (or 73820 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 42284542338 in words is "forty-two billion, two hundred eighty-four million, five hundred forty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 73 146 219 438 439 657 878 1314 1317 2634 3951 7902 32047 64094 73303 96141 146606 192282 219909 288423 439818 576846 659727 1319454 5351119 10702238 16053357 32106714 32180017 48160071 64360034 96320142 96540051 193080102 289620153 579240306 2349141241 4698282482 7047423723 14094847446 21142271169 42284542338