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444003331041 = 3249333703449
BaseRepresentation
bin1100111011000001010…
…10010010101111100001
31120110001100121012021100
412131200222102233201
524233304323043131
6535550004145013
744035550020614
oct6354052225741
91513040535240
10444003331041
1116133433a296
1272073998169
1332b3bc0a52a
14176c031017b
15b839ab27e6
hex6760a92be1

444003331041 has 6 divisors (see below), whose sum is σ = 641338144850. Its totient is φ = 296002220688.

The previous prime is 444003330931. The next prime is 444003331081. The reversal of 444003331041 is 140133300444.

It can be written as a sum of positive squares in only one way, i.e., 363916595025 + 80086736016 = 603255^2 + 282996^2 .

It is not a de Polignac number, because 444003331041 - 215 = 444003298273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444003330996 and 444003331014.

It is not an unprimeable number, because it can be changed into a prime (444003331081) 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 5 ways as a sum of consecutive naturals, for example, 24666851716 + ... + 24666851733.

Almost surely, 2444003331041 is an apocalyptic number.

It is an amenable number.

444003331041 is a deficient number, since it is larger than the sum of its proper divisors (197334813809).

444003331041 is a wasteful number, since it uses less digits than its factorization.

444003331041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333703455 (or 49333703452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444003331041 its reverse (140133300444), we get a palindrome (584136631485).

The spelling of 444003331041 in words is "four hundred forty-four billion, three million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 49333703449 148001110347 444003331041