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441341111104 = 2641295356957
BaseRepresentation
bin1100110110000011111…
…10101110101101000000
31120012011211011102001221
412123001332232231000
524212331311023404
6534425503404424
743612562355505
oct6330176565500
91505154142057
10441341111104
11160198608023
12716502b3714
13328064c106a
141750a9134ac
15b730ee1954
hex66c1faeb40

441341111104 has 56 divisors (see below), whose sum is σ = 897466473288. Its totient is φ = 215211663360.

The previous prime is 441341111083. The next prime is 441341111117. The reversal of 441341111104 is 401111143144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1177862400 + 440163248704 = 34320^2 + 663448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7720194 + ... + 7777150.

It is an arithmetic number, because the mean of its divisors is an integer number (16026187023).

Almost surely, 2441341111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441341111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448733236644).

441341111104 is an abundant number, since it is smaller than the sum of its proper divisors (456125362184).

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

441341111104 is a wasteful number, since it uses less digits than its factorization.

441341111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59963 (or 59953 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 441341111104 its reverse (401111143144), we get a palindrome (842452254248).

The spelling of 441341111104 in words is "four hundred forty-one billion, three hundred forty-one million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 2953 5906 11812 23624 47248 56957 94496 113914 121073 188992 227828 242146 455656 484292 911312 968584 1822624 1937168 2335237 3645248 3874336 4670474 7748672 9340948 18681896 37363792 74727584 149455168 168194021 336388042 672776084 1345552168 2691104336 5382208672 6895954861 10764417344 13791909722 27583819444 55167638888 110335277776 220670555552 441341111104