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4444312012011 = 34239660734747
BaseRepresentation
bin100000010101100010110…
…1000111000010011101011
3120201212112202010111220000
41000223011220320103223
51040303422333341021
613241404434234043
7636043123540404
oct100530550702353
916655482114800
104444312012011
1114639052a44a3
125b9407125923
13263134953111
1411516a6429ab
157a917be3b26
hex40ac5a384eb

4444312012011 has 40 divisors (see below), whose sum is σ = 6668013327360. Its totient is φ = 2949946240752.

The previous prime is 4444312011977. The next prime is 4444312012027. The reversal of 4444312012011 is 1102102134444.

4444312012011 is a `hidden beast` number, since 4 + 4 + 4 + 431 + 20 + 1 + 201 + 1 = 666.

4444312012011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4444312012011 - 27 = 4444312011883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4444312019011) 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 39 ways as a sum of consecutive naturals, for example, 127887540 + ... + 127922286.

It is an arithmetic number, because the mean of its divisors is an integer number (166700333184).

Almost surely, 24444312012011 is an apocalyptic number.

4444312012011 is a deficient number, since it is larger than the sum of its proper divisors (2223701315349).

4444312012011 is a wasteful number, since it uses less digits than its factorization.

4444312012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41605 (or 41596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4444312012011 its reverse (1102102134444), we get a palindrome (5546414146455).

The spelling of 4444312012011 in words is "four trillion, four hundred forty-four billion, three hundred twelve million, twelve thousand, eleven".

Divisors: 1 3 9 27 81 239 717 2151 6453 6607 19359 19821 34747 59463 104241 178389 312723 535167 938169 1579073 2814507 4737219 8304533 14211657 24913599 42634971 74740797 127904913 224222391 229573429 672667173 688720287 2066160861 6198482583 18595447749 54868049531 164604148593 493812445779 1481437337337 4444312012011