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4043421121311 = 32111373318892269
BaseRepresentation
bin111010110101101110101…
…011011111101100011111
3112022112202222012012121100
4322311232223133230133
51012221411301340221
612333304431204143
7565061513310405
oct72655653375437
915275688165540
104043421121311
1113198948a17a0
12553785676653
132343a688a720
14dd9ba015475
15702a2ebc926
hex3ad6eadfb1f

4043421121311 has 96 divisors (see below), whose sum is σ = 6877591156800. Its totient is φ = 2256776847360.

The previous prime is 4043421121303. The next prime is 4043421121393. The reversal of 4043421121311 is 1131211243404.

It is a happy number.

4043421121311 is a `hidden beast` number, since 4 + 0 + 4 + 342 + 1 + 1 + 2 + 1 + 311 = 666.

It is not a de Polignac number, because 4043421121311 - 23 = 4043421121303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043421121711) 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 95 ways as a sum of consecutive naturals, for example, 1782026685 + ... + 1782028953.

It is an arithmetic number, because the mean of its divisors is an integer number (71641574550).

Almost surely, 24043421121311 is an apocalyptic number.

4043421121311 is a deficient number, since it is larger than the sum of its proper divisors (2834170035489).

4043421121311 is a wasteful number, since it uses less digits than its factorization.

4043421121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4043421121311 its reverse (1131211243404), we get a palindrome (5174632364715).

The spelling of 4043421121311 in words is "four trillion, forty-three billion, four hundred twenty-one million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 733 1287 1889 2199 2269 5667 6597 6807 8063 9529 17001 20421 20779 24189 24557 24959 28587 29497 62337 72567 73671 74877 85761 88491 104819 187011 221013 224631 265473 270127 314457 324467 810381 943371 973401 1384637 1663177 2431143 2920203 4153911 4286141 4989531 12461733 12858423 14968593 15231007 18000281 18294947 21621301 38575269 45693021 47147551 54000843 54884841 55719833 64863903 137079063 141442653 162002529 164654523 167159499 194591709 198003091 237834311 424327959 501478497 594009273 612918163 713502933 1782027819 1838754489 2140508799 3141741353 5516263467 9425224059 28275672177 34559154883 40842637589 103677464649 122527912767 311032393947 367583738301 449269013479 1347807040437 4043421121311