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4442114340 = 2232524678413
BaseRepresentation
bin1000010001100010…
…10100100100100100
3102110120121210022100
410020301110210210
533044140124330
62012441532100
7215036230446
oct41061244444
912416553270
104442114340
11197a504284
12a3b7a4030
1355a3ba031
14301d5c496
151aeea7060
hex108c54924

4442114340 has 36 divisors (see below), whose sum is σ = 13474414044. Its totient is φ = 1184563776.

The previous prime is 4442114317. The next prime is 4442114357. The reversal of 4442114340 is 434112444.

4442114340 is a `hidden beast` number, since 444 + 211 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2190801636 + 2251312704 = 46806^2 + 47448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12339027 + ... + 12339386.

It is an arithmetic number, because the mean of its divisors is an integer number (374289279).

Almost surely, 24442114340 is an apocalyptic number.

It is an amenable number.

4442114340 is an abundant number, since it is smaller than the sum of its proper divisors (9032299704).

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

4442114340 is a wasteful number, since it uses less digits than its factorization.

4442114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24678428 (or 24678423 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4442114340 is about 66649.1885922102. The cubic root of 4442114340 is about 1643.8540060740.

Adding to 4442114340 its reverse (434112444), we get a palindrome (4876226784).

The spelling of 4442114340 in words is "four billion, four hundred forty-two million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24678413 49356826 74035239 98713652 123392065 148070478 222105717 246784130 296140956 370176195 444211434 493568260 740352390 888422868 1110528585 1480704780 2221057170 4442114340