Search a number
-
+
32314000000 = 2756107151
BaseRepresentation
bin11110000110000100…
…001000001010000000
310002102000111021121211
4132012010020022000
51012134341000000
622502253055504
72222525316352
oct360604101200
9102360437554
1032314000000
1112782457527
126319a87594
13307c8cc679
1417c78bd0d2
15c91d637ba
hex786108280

32314000000 has 224 divisors, whose sum is σ = 81758328480. Its totient is φ = 12720000000.

The previous prime is 32313999997. The next prime is 32314000001. The reversal of 32314000000 is 41323.

It is not an unprimeable number, because it can be changed into a prime (32314000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 213999925 + ... + 214000075.

Almost surely, 232314000000 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 32314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40879164240).

32314000000 is an abundant number, since it is smaller than the sum of its proper divisors (49444328480).

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

32314000000 is an frugal number, since it uses more digits than its factorization.

32314000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 32314000000 its reverse (41323), we get a palindrome (32314041323).

The spelling of 32314000000 in words is "thirty-two billion, three hundred fourteen million", and thus it is an aban number.