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42352334343 = 321123611013019
BaseRepresentation
bin100111011100011001…
…010101011000000111
311001022121101111120200
4213130121111120013
51143214144144333
631242325301543
73026346621264
oct473431253007
9131277344520
1042352334343
1116a63874710
12825b8648b3
133cbc51c487
14209ab8026b
15117d294c13
hex9dc655607

42352334343 has 96 divisors (see below), whose sum is σ = 71504709120. Its totient is φ = 23902560000.

The previous prime is 42352334327. The next prime is 42352334357. The reversal of 42352334343 is 34343325324.

42352334343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42352334343 - 24 = 42352334327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42352334298 and 42352334307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42352330343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14027088 + ... + 14030106.

It is an arithmetic number, because the mean of its divisors is an integer number (744840720).

Almost surely, 242352334343 is an apocalyptic number.

42352334343 is a deficient number, since it is larger than the sum of its proper divisors (29152374777).

42352334343 is a wasteful number, since it uses less digits than its factorization.

42352334343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3218 counting only the distinct ones).

The product of its digits is 311040, while the sum is 36.

Adding to 42352334343 its reverse (34343325324), we get a palindrome (76695659667).

The spelling of 42352334343 in words is "forty-two billion, three hundred fifty-two million, three hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 9 11 23 33 61 69 99 101 183 207 253 303 549 671 759 909 1111 1403 2013 2277 2323 3019 3333 4209 6039 6161 6969 9057 9999 12627 15433 18483 20907 25553 27171 33209 46299 55449 67771 69437 76659 99627 138897 141703 184159 203313 208311 229977 298881 304919 425109 552477 609939 624933 763807 914757 1275327 1558733 1657431 2025749 2291421 2744271 3354109 4235657 4676199 6077247 6874263 7013137 10062327 12706971 14028597 18231741 18600059 21039411 30186981 38120913 46592227 55800177 63118233 77144507 139776681 167400531 204600649 231433521 419330043 427801357 613801947 694300563 1283404071 1841405841 3850212213 4705814927 14117444781 42352334343