Search a number
-
+
314332143210 = 233537733371279
BaseRepresentation
bin1001001001011111010…
…01111101111001101010
31010001100100101100011000
410210233221331321222
520122223012040320
6400222512415430
731465305063411
oct4445751757152
91101310340130
10314332143210
11111342333658
1250b05247576
13238451b0c17
14112dc798478
15829aa4ec90
hex492fa7de6a

314332143210 has 256 divisors, whose sum is σ = 875940249600. Its totient is φ = 80137838592.

The previous prime is 314332143197. The next prime is 314332143211. The reversal of 314332143210 is 12341233413.

It is a happy number.

314332143210 is a `hidden beast` number, since 3 + 1 + 4 + 332 + 1 + 4 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314332143211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245763351 + ... + 245764629.

It is an arithmetic number, because the mean of its divisors is an integer number (3421641600).

Almost surely, 2314332143210 is an apocalyptic number.

314332143210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314332143210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437970124800).

314332143210 is an abundant number, since it is smaller than the sum of its proper divisors (561608106390).

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

314332143210 is a wasteful number, since it uses less digits than its factorization.

314332143210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314332143210 its reverse (12341233413), we get a palindrome (326673376623).

The spelling of 314332143210 in words is "three hundred fourteen billion, three hundred thirty-two million, one hundred forty-three thousand, two hundred ten".