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444041340304 = 24128921530321
BaseRepresentation
bin1100111011000101110…
…11010010010110010000
31120110011000010021011211
412131202323102112100
524233344040342204
6535553442545504
744036521055032
oct6354273222620
91513130107154
10444041340304
11161353840201
1272084668294
1332b46a57c13
14176c53a5c52
15b83d0be804
hex6762ed2590

444041340304 has 20 divisors (see below), whose sum is σ = 860997576780. Its totient is φ = 221848417280.

The previous prime is 444041340289. The next prime is 444041340307. The reversal of 444041340304 is 403043140444.

It can be written as a sum of positive squares in 2 ways, for example, as 417651987600 + 26389352704 = 646260^2 + 162448^2 .

It is not an unprimeable number, because it can be changed into a prime (444041340307) 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 3 ways as a sum of consecutive naturals, for example, 10744537 + ... + 10785784.

It is an arithmetic number, because the mean of its divisors is an integer number (43049878839).

Almost surely, 2444041340304 is an apocalyptic number.

It is an amenable number.

444041340304 is a deficient number, since it is larger than the sum of its proper divisors (416956236476).

444041340304 is a wasteful number, since it uses less digits than its factorization.

444041340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21531618 (or 21531612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 444041340304 its reverse (403043140444), we get a palindrome (847084480748).

The spelling of 444041340304 in words is "four hundred forty-four billion, forty-one million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 1289 2578 5156 10312 20624 21530321 43060642 86121284 172242568 344485136 27752583769 55505167538 111010335076 222020670152 444041340304