Search a number
-
+
42067334322 = 2321331063757
BaseRepresentation
bin100111001011011010…
…001001010010110010
311000120202010000001100
4213023122021102302
51142123214144242
631154144545230
73016316304366
oct471332112262
9130522100040
1042067334322
1116927a05a02
1281a0322216
133c75474000
142070d932a6
15116324a54c
hex9cb6894b2

42067334322 has 48 divisors (see below), whose sum is σ = 98738017560. Its totient is φ = 12943783008.

The previous prime is 42067334321. The next prime is 42067334333. The reversal of 42067334322 is 22343376024.

It can be written as a sum of positive squares in 4 ways, for example, as 7963956081 + 34103378241 = 89241^2 + 184671^2 .

It is a super-3 number, since 3×420673343223 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42067334321) 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, 492333 + ... + 571424.

Almost surely, 242067334322 is an apocalyptic number.

42067334322 is an abundant number, since it is smaller than the sum of its proper divisors (56670683238).

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

42067334322 is a wasteful number, since it uses less digits than its factorization.

42067334322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063804 (or 1063775 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 42067334322 in words is "forty-two billion, sixty-seven million, three hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 3042 4394 6591 13182 19773 39546 1063757 2127514 3191271 6382542 9573813 13828841 19147626 27657682 41486523 82973046 124459569 179774933 248919138 359549866 539324799 1078649598 1617974397 2337074129 3235948794 4674148258 7011222387 14022444774 21033667161 42067334322