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331140221344 = 252331372231759
BaseRepresentation
bin1001101000110010111…
…11101100100110100000
31011122201201202011202101
410310121133230212200
520411133344040334
6412042420100144
732631651303562
oct4643137544640
91148651664671
10331140221344
11118488027519
1254216234654
13252c34b7b9a
1412054b99332
158931466214
hex4d197ec9a0

331140221344 has 192 divisors, whose sum is σ = 724846510080. Its totient is φ = 148367324160.

The previous prime is 331140221341. The next prime is 331140221351. The reversal of 331140221344 is 443122041133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331140221341) 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 31 ways as a sum of consecutive naturals, for example, 188253937 + ... + 188255695.

It is an arithmetic number, because the mean of its divisors is an integer number (3775242240).

Almost surely, 2331140221344 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 331140221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362423255040).

331140221344 is an abundant number, since it is smaller than the sum of its proper divisors (393706288736).

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

331140221344 is a wasteful number, since it uses less digits than its factorization.

331140221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331140221344 its reverse (443122041133), we get a palindrome (774262262477).

The spelling of 331140221344 in words is "three hundred thirty-one billion, one hundred forty million, two hundred twenty-one thousand, three hundred forty-four".