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441003434041 = 171131811268341
BaseRepresentation
bin1100110101011011101…
…10100110000000111001
31120011022021202122020001
412122231312212000321
524211133334342131
6534332202033001
743601322224332
oct6325566460071
91504267678201
10441003434041
11160034a3a275
12715771a8761
1332781560b51
14174b7b33289
15b71153e261
hex66adda6039

441003434041 has 16 divisors (see below), whose sum is σ = 473680076688. Its totient is φ = 409115750400.

The previous prime is 441003434029. The next prime is 441003434051. The reversal of 441003434041 is 140434300144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 153899290000 + 287104144041 = 392300^2 + 535821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441003434041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441003434051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286470 + ... + 981871.

It is an arithmetic number, because the mean of its divisors is an integer number (29605004793).

Almost surely, 2441003434041 is an apocalyptic number.

It is an amenable number.

441003434041 is a deficient number, since it is larger than the sum of its proper divisors (32676642647).

441003434041 is a wasteful number, since it uses less digits than its factorization.

441003434041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268652.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 441003434041 its reverse (140434300144), we get a palindrome (581437734185).

The spelling of 441003434041 in words is "four hundred forty-one billion, three million, four hundred thirty-four thousand, forty-one".

Divisors: 1 17 113 181 1921 3077 20453 347701 1268341 21561797 143322533 229569721 2436483061 3902685257 25941378473 441003434041