Search a number
-
+
241313543040 = 27353111335879
BaseRepresentation
bin1110000010111101101…
…0000111001110000000
3212001212120000010022010
43200233122013032000
512423202231334130
6302505150412520
723301655162233
oct3405732071600
9761776003263
10241313543040
11933822275a9
123a927501140
13199a956bb2b
14b972cd741a
1564254240b0
hex382f687380

241313543040 has 256 divisors, whose sum is σ = 801048268800. Its totient is φ = 61721640960.

The previous prime is 241313543033. The next prime is 241313543057. The reversal of 241313543040 is 40345313142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241313542989 and 241313543007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6707821 + ... + 6743699.

It is an arithmetic number, because the mean of its divisors is an integer number (3129094800).

Almost surely, 2241313543040 is an apocalyptic number.

241313543040 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 241313543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400524134400).

241313543040 is an abundant number, since it is smaller than the sum of its proper divisors (559734725760).

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

241313543040 is a wasteful number, since it uses less digits than its factorization.

241313543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36045 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 241313543040 its reverse (40345313142), we get a palindrome (281658856182).

The spelling of 241313543040 in words is "two hundred forty-one billion, three hundred thirteen million, five hundred forty-three thousand, forty".