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4431404244141 = 327236072785843
BaseRepresentation
bin100000001111100010001…
…0001101001110010101101
3120200122020011212222010100
41000133010101221302231
51040101003441303031
613231431540101313
7635105220403200
oct100370421516255
916618204788110
104431404244141
111459391195446
125b6a04394839
13261b58705354
141146a4245937
157a40e90ede6
hex407c4469cad

4431404244141 has 36 divisors (see below), whose sum is σ = 7448031937632. Its totient is φ = 2531528055504.

The previous prime is 4431404244133. The next prime is 4431404244143. The reversal of 4431404244141 is 1414424041344.

4431404244141 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 404 + 244 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 4431404244141 - 23 = 4431404244133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4431404244096 and 4431404244105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431404244143) 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 35 ways as a sum of consecutive naturals, for example, 197766 + ... + 2983608.

Almost surely, 24431404244141 is an apocalyptic number.

It is an amenable number.

4431404244141 is a deficient number, since it is larger than the sum of its proper divisors (3016627693491).

4431404244141 is a wasteful number, since it uses less digits than its factorization.

4431404244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789470 (or 2789460 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4431404244141 its reverse (1414424041344), we get a palindrome (5845828285485).

The spelling of 4431404244141 in words is "four trillion, four hundred thirty-one billion, four hundred four million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 3607 10821 25249 32463 75747 176743 227241 530229 1590687 2785843 8357529 19500901 25072587 58502703 136506307 175508109 409518921 1228556763 10048535701 30145607103 70339749907 90436821309 211019249721 492378249349 633057749163 1477134748047 4431404244141