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14104024044 = 223111096611483
BaseRepresentation
bin11010010001010101…
…00101001111101100
31100101221012122201220
431020222211033230
5212341112232134
610251310103340
71006340140425
oct151052451754
940357178656
1014104024044
115a88399020
1228974aab50
13143a031176
1497b23464c
15578330149
hex348aa53ec

14104024044 has 96 divisors (see below), whose sum is σ = 36309799680. Its totient is φ = 4225478400.

The previous prime is 14104024021. The next prime is 14104024069. The reversal of 14104024044 is 44042040141.

It is a happy number.

14104024044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×141040240445 (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 9509727 + ... + 9511209.

It is an arithmetic number, because the mean of its divisors is an integer number (378227080).

Almost surely, 214104024044 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 14104024044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154899840).

14104024044 is an abundant number, since it is smaller than the sum of its proper divisors (22205775636).

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

14104024044 is a wasteful number, since it uses less digits than its factorization.

14104024044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14104024044 its reverse (44042040141), we get a palindrome (58146064185).

The spelling of 14104024044 in words is "fourteen billion, one hundred four million, twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 661 1199 1308 1322 1483 1983 2398 2644 2966 3597 3966 4449 4796 5932 7194 7271 7932 8898 14388 14542 16313 17796 21813 29084 32626 43626 48939 65252 72049 87252 97878 144098 161647 195756 216147 288196 323294 432294 484941 646588 792539 864588 969882 980263 1585078 1778117 1939764 1960526 2377617 2940789 3170156 3556234 3921052 4755234 5334351 5881578 7112468 9510468 10668702 10782893 11763156 21337404 21565786 32348679 43131572 64697358 106848667 129394716 213697334 320546001 427394668 641092002 1175335337 1282184004 2350670674 3526006011 4701341348 7052012022 14104024044