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14111160444 = 22333130713729
BaseRepresentation
bin11010010010001011…
…10011100001111100
31100102102122020001000
431021011303201330
5212344424113234
610252123050300
71006454612313
oct151105634174
940372566030
1014111160444
115a91422777
122899970990
13143b65c4a4
1497c17127a
15578c8e899
hex34917387c

14111160444 has 96 divisors (see below), whose sum is σ = 37890406400. Its totient is φ = 4536829440.

The previous prime is 14111160443. The next prime is 14111160473. The reversal of 14111160444 is 44406111141.

14111160444 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 11 + 604 + 44 = 666.

14111160444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111160443) 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 31 ways as a sum of consecutive naturals, for example, 1020972 + ... + 1034700.

Almost surely, 214111160444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111160444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945203200).

14111160444 is an abundant number, since it is smaller than the sum of its proper divisors (23779245956).

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

14111160444 is a wasteful number, since it uses less digits than its factorization.

14111160444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14111160444 its reverse (44406111141), we get a palindrome (58517271585).

The spelling of 14111160444 in words is "fourteen billion, one hundred eleven million, one hundred sixty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 307 372 558 614 837 921 1116 1228 1674 1842 2763 3348 3684 5526 8289 9517 11052 13729 16578 19034 27458 28551 33156 38068 41187 54916 57102 82374 85653 114204 123561 164748 171306 247122 256959 342612 370683 425599 494244 513918 741366 851198 1027836 1276797 1482732 1702396 2553594 3830391 4214803 5107188 7660782 8429606 11491173 12644409 15321564 16859212 22982346 25288818 37933227 45964692 50577636 75866454 113799681 130658893 151732908 227599362 261317786 391976679 455198724 522635572 783953358 1175930037 1567906716 2351860074 3527790111 4703720148 7055580222 14111160444