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3444564654443 = 112314771972837
BaseRepresentation
bin110010001000000000000…
…011010111100101101011
3110012022000122002122200002
4302020000003113211223
5422413432022420233
611154224450533215
7503601344320253
oct62100003274553
913168018078602
103444564654443
111108916a47600
124776b589720b
131bca89b13953
14bca099a2963
155e9037346e8
hex322000d796b

3444564654443 has 96 divisors (see below), whose sum is σ = 4090852491264. Its totient is φ = 2892992256000.

The previous prime is 3444564654389. The next prime is 3444564654473.

3444564654443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3444564654443 - 212 = 3444564650347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3444564654473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1214156021 + ... + 1214158857.

It is an arithmetic number, because the mean of its divisors is an integer number (42613046784).

Almost surely, 23444564654443 is an apocalyptic number.

3444564654443 is a deficient number, since it is larger than the sum of its proper divisors (646287836821).

3444564654443 is a wasteful number, since it uses less digits than its factorization.

3444564654443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3094 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 56.

The spelling of 3444564654443 in words is "three trillion, four hundred forty-four billion, five hundred sixty-four million, six hundred fifty-four thousand, four hundred forty-three".

Divisors: 1 11 31 47 71 97 121 341 517 781 1067 1457 2201 2837 3007 3337 3751 4559 5687 6887 8591 11737 16027 24211 31207 33077 36707 50149 75757 87947 103447 133339 141329 176297 201427 213497 266321 275189 323689 343277 363847 403777 551639 833327 967417 1137917 1466729 1554619 2215697 2348467 3027079 3560579 4133509 6244237 8530859 9467069 10034359 10641587 12517087 12933883 16134019 17100809 19538419 24372667 25833137 33297869 39166369 45468599 68686607 93839449 104137759 110377949 142272713 214922609 293479139 400950373 500154589 605690989 755552677 918305693 1032233939 1145515349 1214157439 1564999843 2364148699 3228270529 4410454103 6662600879 10101362623 28467476483 35510975819 48514995133 73288609669 111114988853 313142241313 3444564654443