Search a number
-
+
42325423416 = 233219193160309
BaseRepresentation
bin100111011010110010…
…101011010100111000
311001020201202021201200
4213122302223110320
51143140302022131
631235524414200
73025602106623
oct473262532470
9131221667650
1042325423416
1116a4a664081
128252847360
133cb6a89553
142097376dba
15117ac2b2e6
hex9dacab538

42325423416 has 96 divisors (see below), whose sum is σ = 121290546000. Its totient is φ = 13296586752.

The previous prime is 42325423403. The next prime is 42325423417. The reversal of 42325423416 is 61432452324.

42325423416 is a `hidden beast` number, since 4 + 232 + 5 + 4 + 2 + 3 + 416 = 666.

It is a super-5 number, since 5×423254234165 (a number of 54 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42325423417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183870 + ... + 344178.

Almost surely, 242325423416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42325423416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60645273000).

42325423416 is an abundant number, since it is smaller than the sum of its proper divisors (78965122584).

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

42325423416 is a wasteful number, since it uses less digits than its factorization.

42325423416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160533 (or 160526 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 42325423416 in words is "forty-two billion, three hundred twenty-five million, four hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 193 228 342 386 456 579 684 772 1158 1368 1544 1737 2316 3474 3667 4632 6948 7334 11001 13896 14668 22002 29336 33003 44004 66006 88008 132012 160309 264024 320618 480927 641236 961854 1282472 1442781 1923708 2885562 3045871 3847416 5771124 6091742 9137613 11542248 12183484 18275226 24366968 27412839 30939637 36550452 54825678 61879274 73100904 92818911 109651356 123758548 185637822 219302712 247517096 278456733 371275644 556913466 587853103 742551288 1113826932 1175706206 1763559309 2227653864 2351412412 3527118618 4702824824 5290677927 7054237236 10581355854 14108474472 21162711708 42325423416