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330113140344 = 2332132929341507
BaseRepresentation
bin1001100110111000100…
…01101100011001111000
31011120002011010001111100
410303130101230121320
520402032430442334
6411352450131400
732564340252411
oct4633421543170
91146064101440
10330113140344
11118000297349
1253b8a280b60
132518b788550
1411d985dc808
1588c11d5c99
hex4cdc46c678

330113140344 has 192 divisors, whose sum is σ = 999454528800. Its totient is φ = 97733680128.

The previous prime is 330113140307. The next prime is 330113140361. The reversal of 330113140344 is 443041311033.

330113140344 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 1 + 314 + 0 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7932439 + ... + 7973945.

Almost surely, 2330113140344 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 330113140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499727264400).

330113140344 is an abundant number, since it is smaller than the sum of its proper divisors (669341388456).

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

330113140344 is a wasteful number, since it uses less digits than its factorization.

330113140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41854 (or 41847 counting only the distinct ones).

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

Adding to 330113140344 its reverse (443041311033), we get a palindrome (773154451377).

The spelling of 330113140344 in words is "three hundred thirty billion, one hundred thirteen million, one hundred forty thousand, three hundred forty-four".