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42338283324 = 22310164154497
BaseRepresentation
bin100111011011100011…
…101110111100111100
311001021121221122012120
4213123203232330330
51143202100031244
631241104202540
73026116320231
oct473343567474
9131247848176
1042338283324
1116a569479a7
128257009450
133cb963ca6c
142098d63788
15117be1b819
hex9db8eef3c

42338283324 has 48 divisors (see below), whose sum is σ = 99924916896. Its totient is φ = 13950976000.

The previous prime is 42338283313. The next prime is 42338283329.

It is a happy number.

42338283324 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42338283329) 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 15 ways as a sum of consecutive naturals, for example, 749644 + ... + 804140.

It is an arithmetic number, because the mean of its divisors is an integer number (2081769102).

Almost surely, 242338283324 is an apocalyptic number.

It is an amenable number.

42338283324 is an abundant number, since it is smaller than the sum of its proper divisors (57586633572).

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

42338283324 is a wasteful number, since it uses less digits than its factorization.

42338283324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55246 (or 55244 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 42338283324 in words is "forty-two billion, three hundred thirty-eight million, two hundred eighty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 641 1212 1282 1923 2564 3846 7692 54497 64741 108994 129482 163491 194223 217988 258964 326982 388446 653964 776892 5504197 11008394 16512591 22016788 33025182 34932577 66050364 69865154 104797731 139730308 209595462 419190924 3528190277 7056380554 10584570831 14112761108 21169141662 42338283324