Search a number
-
+
243035145000 = 23325417317693
BaseRepresentation
bin1110001001011000000…
…1100000001100101000
3212020022112111120012200
43202112001200030220
512440213444120000
6303352050340200
723362431435024
oct3422601401450
9766275446180
10243035145000
119408600463a
123b127b8a660
1319bc213ca0b
14ba97803384
1564c6643500
hex3896060328

243035145000 has 240 divisors, whose sum is σ = 870897739140. Its totient is φ = 60996864000.

The previous prime is 243035144977. The next prime is 243035145011. The reversal of 243035145000 is 541530342.

It can be written as a sum of positive squares in 10 ways, for example, as 7812084996 + 235223060004 = 88386^2 + 484998^2 .

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 606154 + ... + 923846.

Almost surely, 2243035145000 is an apocalyptic number.

243035145000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243035145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435448869570).

243035145000 is an abundant number, since it is smaller than the sum of its proper divisors (627862594140).

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

243035145000 is a wasteful number, since it uses less digits than its factorization.

243035145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317742 (or 317720 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 243035145000 its reverse (541530342), we get a palindrome (243576675342).

The spelling of 243035145000 in words is "two hundred forty-three billion, thirty-five million, one hundred forty-five thousand".