Search a number
-
+
32431420000 = 25547832791
BaseRepresentation
bin11110001101000100…
…000011001001100000
310002201012102211120201
4132031010003021200
51012404420420000
622522045514544
72225452343620
oct361504031140
9102635384521
1032431420000
1112832766951
126351272a54
13309b032165
1417d9326880
15c9c30996a
hex78d103260

32431420000 has 240 divisors, whose sum is σ = 92315849472. Its totient is φ = 10981440000.

The previous prime is 32431419929. The next prime is 32431420001. The reversal of 32431420000 is 2413423.

It is a super-3 number, since 3×324314200003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32431420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32431420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11618605 + ... + 11621395.

Almost surely, 232431420000 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 32431420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46157924736).

32431420000 is an abundant number, since it is smaller than the sum of its proper divisors (59884429472).

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

32431420000 is an equidigital number, since it uses as much as digits as its factorization.

32431420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 32431420000 its reverse (2413423), we get a palindrome (32433833423).

The spelling of 32431420000 in words is "thirty-two billion, four hundred thirty-one million, four hundred twenty thousand".