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14144133444 = 2237198862239
BaseRepresentation
bin11010010110000111…
…00101100101000100
31100111201200102111020
431023003211211010
5212431344232234
610255301511140
71010335102440
oct151303454504
940451612436
1014144133444
115aa8aa3891
1228a8a124b0
13144543573c
149826b5820
1557bb04549
hex34b0e5944

14144133444 has 48 divisors (see below), whose sum is σ = 39702835200. Its totient is φ = 3828486816.

The previous prime is 14144133407. The next prime is 14144133533. The reversal of 14144133444 is 44433144141.

It is a super-2 number, since 2×141441334442 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4429524 + ... + 4432715.

It is an arithmetic number, because the mean of its divisors is an integer number (827142400).

Almost surely, 214144133444 is an apocalyptic number.

14144133444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14144133444 is an abundant number, since it is smaller than the sum of its proper divisors (25558701756).

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

14144133444 is a wasteful number, since it uses less digits than its factorization.

14144133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862272 (or 8862270 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 14144133444 its reverse (44433144141), we get a palindrome (58577277585).

The spelling of 14144133444 in words is "fourteen billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 8862239 17724478 26586717 35448956 53173434 62035673 106346868 124071346 168382541 186107019 248142692 336765082 372214038 505147623 673530164 744428076 1010295246 1178677787 2020590492 2357355574 3536033361 4714711148 7072066722 14144133444