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14166214416 = 243410930721
BaseRepresentation
bin11010011000101111…
…10100011100010000
31100120021020020220000
431030113310130100
5213003022330131
610301411050000
71011023556444
oct151427643420
940507206800
1014166214416
11600a505622
1228b42a0900
131449b970c3
149855c2824
1557da16ce6
hex34c5f4710

14166214416 has 50 divisors (see below), whose sum is σ = 41001138222. Its totient is φ = 4722071040.

The previous prime is 14166214373. The next prime is 14166214453. The reversal of 14166214416 is 61441266141.

14166214416 is a `hidden beast` number, since 1 + 4 + 16 + 621 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12095600400 + 2070614016 = 109980^2 + 45504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5464065 + ... + 5466656.

Almost surely, 214166214416 is an apocalyptic number.

14166214416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14166214416 is an abundant number, since it is smaller than the sum of its proper divisors (26834923806).

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

14166214416 is a wasteful number, since it uses less digits than its factorization.

14166214416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930741 (or 10930726 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 14166214416 in words is "fourteen billion, one hundred sixty-six million, two hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10930721 21861442 32792163 43722884 65584326 87445768 98376489 131168652 174891536 196752978 262337304 295129467 393505956 524674608 590258934 787011912 885388401 1180517868 1574023824 1770776802 2361035736 3541553604 4722071472 7083107208 14166214416