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30041010441 = 3213614339721
BaseRepresentation
bin11011111110100101…
…010111000100001001
32212112121110110010100
4123332211113010021
5443010444313231
621444535040013
72112305242551
oct337645270411
985477413110
1030041010441
1111816404862
1259a4810009
132aa9a23830
14164da82161
15bac52a1e6
hex6fe957109

30041010441 has 48 divisors (see below), whose sum is σ = 47611122832. Its totient is φ = 18139852800.

The previous prime is 30041010413. The next prime is 30041010473. The reversal of 30041010441 is 14401014003.

It can be written as a sum of positive squares in 8 ways, for example, as 22159299600 + 7881710841 = 148860^2 + 88779^2 .

It is not a de Polignac number, because 30041010441 - 27 = 30041010313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30041010481) 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 47 ways as a sum of consecutive naturals, for example, 3085461 + ... + 3095181.

Almost surely, 230041010441 is an apocalyptic number.

It is an amenable number.

30041010441 is a deficient number, since it is larger than the sum of its proper divisors (17570112391).

30041010441 is a wasteful number, since it uses less digits than its factorization.

30041010441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30041010441 its reverse (14401014003), we get a palindrome (44442024444).

The spelling of 30041010441 in words is "thirty billion, forty-one million, ten thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 61 117 183 433 549 793 1299 2379 3897 5629 7137 9721 16887 26413 29163 50661 79239 87489 126373 237717 343369 379119 592981 1030107 1137357 1778943 3090321 4209193 5336829 7708753 12627579 23126259 37882737 54719509 69378777 164158527 256760773 492475581 770282319 2310846957 3337890049 10013670147 30041010441