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2144444444412 = 2231016832590547
BaseRepresentation
bin11111001101001010110…
…110010110111011111100
321121000012000112220021120
4133031022312112323330
5240113310234210122
64321051050430540
7310634222011164
oct37151266267374
97530160486246
102144444444412
117574a9a8a886
122a7736132450
131272b2b4ab1a
1475b124855a4
153abadeb675c
hex1f34ad96efc

2144444444412 has 48 divisors (see below), whose sum is σ = 5060645880192. Its totient is φ = 706700948800.

The previous prime is 2144444444381. The next prime is 2144444444453.

2144444444412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467478 + ... + 2123069.

It is an arithmetic number, because the mean of its divisors is an integer number (105430122504).

Almost surely, 22144444444412 is an apocalyptic number.

It is an amenable number.

2144444444412 is an abundant number, since it is smaller than the sum of its proper divisors (2916201435780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144444444412 is a wasteful number, since it uses less digits than its factorization.

2144444444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591338 (or 2591336 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

The spelling of 2144444444412 in words is "two trillion, one hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 683 1212 1366 2049 2732 4098 8196 68983 137966 206949 275932 413898 827796 2590547 5181094 7771641 10362188 15543282 31086564 261645247 523290494 784935741 1046580988 1569871482 1769343601 3139742964 3538687202 5308030803 7077374404 10616061606 21232123212 178703703701 357407407402 536111111103 714814814804 1072222222206 2144444444412