Search a number
-
+
243113010140 = 2257111325747251
BaseRepresentation
bin1110001001101010101…
…0100010001111011100
3212020111222000112002202
43202122222202033130
512440343412311030
6303403511311032
723364365330060
oct3423252421734
9766458015082
10243113010140
1194115a578a0
123b14a07b478
1319c05303470
14baa3cb1aa0
1564cd3c4745
hex389aaa23dc

243113010140 has 192 divisors, whose sum is σ = 688158471168. Its totient is φ = 69672960000.

The previous prime is 243113010037. The next prime is 243113010143. The reversal of 243113010140 is 41010311342.

243113010140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243113010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5121515 + ... + 5168765.

It is an arithmetic number, because the mean of its divisors is an integer number (3584158704).

Almost surely, 2243113010140 is an apocalyptic number.

243113010140 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 243113010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344079235584).

243113010140 is an abundant number, since it is smaller than the sum of its proper divisors (445045461028).

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

243113010140 is a wasteful number, since it uses less digits than its factorization.

243113010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47548 (or 47546 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 243113010140 its reverse (41010311342), we get a palindrome (284123321482).

The spelling of 243113010140 in words is "two hundred forty-three billion, one hundred thirteen million, ten thousand, one hundred forty".