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441814121801143 = 71338382315402797
BaseRepresentation
bin110010001110100111101110…
…1110010010110010110110111
32010221100000110210102010020221
41210131033131302112112313
5430402140310140114033
64203354334445235211
7162030005543621140
oct14435173562262667
92127300423363227
10441814121801143
11118859353760593
1241676653562b07
1315c6ab7b974260
147b15cbbc32ac7
1536128ec54612d
hex191d3ddc965b7

441814121801143 has 32 divisors (see below), whose sum is σ = 545853473980416. Its totient is φ = 348230847973248.

The previous prime is 441814121801137. The next prime is 441814121801183. The reversal of 441814121801143 is 341108121418144.

It is a cyclic number.

It is not a de Polignac number, because 441814121801143 - 29 = 441814121800631 is a prime.

It is a super-2 number, since 2×4418141218011432 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441814121801143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441814121801183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20982621 + ... + 36385417.

It is an arithmetic number, because the mean of its divisors is an integer number (17057921061888).

Almost surely, 2441814121801143 is an apocalyptic number.

441814121801143 is a deficient number, since it is larger than the sum of its proper divisors (104039352179273).

441814121801143 is a wasteful number, since it uses less digits than its factorization.

441814121801143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404023.

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 441814121801143 in words is "four hundred forty-one trillion, eight hundred fourteen billion, one hundred twenty-one million, eight hundred one thousand, one hundred forty-three".

Divisors: 1 7 13 91 383 823 2681 4979 5761 10699 34853 74893 315209 2206463 4097717 15402797 28684019 107819579 200236361 1401654527 5899271251 12676501931 41294898757 76690526263 88735513517 164794525103 536833683841 1153561675721 4855100239573 33985701677011 63116303114449 441814121801143