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384142274848 = 2580329149441
BaseRepresentation
bin1011001011100001010…
…10011111000100100000
31100201112112110110121001
411211300222133010200
522243210410243343
6452250022041344
736516255314113
oct5456052370440
91321475413531
10384142274848
11138a06332822
1262548579254
132a2bc1aaa17
14148420a857a
159ed465844d
hex5970a9f120

384142274848 has 24 divisors (see below), whose sum is σ = 756294579180. Its totient is φ = 192067461120.

The previous prime is 384142274843. The next prime is 384142274977. The reversal of 384142274848 is 848472241483.

It can be written as a sum of positive squares in 2 ways, for example, as 329324481424 + 54817793424 = 573868^2 + 234132^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (384142274843) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2495808 + ... + 2645248.

Almost surely, 2384142274848 is an apocalyptic number.

It is an amenable number.

384142274848 is a deficient number, since it is larger than the sum of its proper divisors (372152304332).

384142274848 is a wasteful number, since it uses less digits than its factorization.

384142274848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229780 (or 229772 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 55.

The spelling of 384142274848 in words is "three hundred eighty-four billion, one hundred forty-two million, two hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 80329 149441 160658 298882 321316 597764 642632 1195528 1285264 2391056 2570528 4782112 12004446089 24008892178 48017784356 96035568712 192071137424 384142274848