Search a number
-
+
32010443444 = 227382328349
BaseRepresentation
bin11101110011111110…
…001001101010110100
310001121212022000022102
4131303332021222310
51011024133142234
622412210521232
72212151165000
oct356376115264
9101555260272
1032010443444
1112637073a41
126254296218
133031a57ac5
141799461700
15c753a0c7e
hex773f89ab4

32010443444 has 48 divisors (see below), whose sum is σ = 65409120000. Its totient is φ = 13701608928.

The previous prime is 32010443441. The next prime is 32010443503. The reversal of 32010443444 is 44434401023.

It is a happy number.

It is a super-2 number, since 2×320104434442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32010443441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114982 + ... + 1143330.

It is an arithmetic number, because the mean of its divisors is an integer number (1362690000).

Almost surely, 232010443444 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 32010443444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704560000).

32010443444 is an abundant number, since it is smaller than the sum of its proper divisors (33398676556).

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

32010443444 is a wasteful number, since it uses less digits than its factorization.

32010443444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29197 (or 29181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 32010443444 its reverse (44434401023), we get a palindrome (76444844467).

The spelling of 32010443444 in words is "thirty-two billion, ten million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 823 1372 1646 3292 5761 11522 23044 28349 40327 56698 80654 113396 161308 198443 282289 396886 564578 793772 1129156 1389101 2778202 5556404 9723707 19447414 23331227 38894828 46662454 93324908 163318589 326637178 653274356 1143230123 2286460246 4572920492 8002610861 16005221722 32010443444