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14423405064 = 2331722323931
BaseRepresentation
bin11010110111011001…
…11011001000001000
31101020012011220010120
431123230323020020
5214014342430224
610343115343240
71020265630425
oct153354731010
941205156116
1014423405064
1161316aa782
122966451b20
13148b256713
149ab810d4c
155963bb779
hex35bb3b208

14423405064 has 144 divisors (see below), whose sum is σ = 40052374320. Its totient is φ = 4327150080.

The previous prime is 14423405057. The next prime is 14423405069. The reversal of 14423405064 is 46050432441.

It is a happy number.

14423405064 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-2 number, since 2×144234050642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14423405069) 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 35 ways as a sum of consecutive naturals, for example, 3667179 + ... + 3671109.

Almost surely, 214423405064 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 14423405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20026187160).

14423405064 is an abundant number, since it is smaller than the sum of its proper divisors (25628969256).

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

14423405064 is a wasteful number, since it uses less digits than its factorization.

14423405064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 14423405064 in words is "fourteen billion, four hundred twenty-three million, four hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 289 391 408 529 552 578 782 867 1058 1156 1173 1564 1587 1734 2116 2312 2346 3128 3174 3468 3931 4232 4692 6348 6647 6936 7862 8993 9384 11793 12696 13294 15724 17986 19941 23586 26588 26979 31448 35972 39882 47172 53176 53958 66827 71944 79764 90413 94344 107916 133654 152881 159528 180826 200481 215832 267308 271239 305762 361652 400962 458643 534616 542478 611524 723304 801924 917286 1084956 1136059 1223048 1537021 1603848 1834572 2079499 2169912 2272118 3074042 3408177 3669144 4158998 4544236 4611063 6148084 6238497 6816354 8317996 9088472 9222126 12296168 12476994 13632708 16635992 18444252 24953988 26129357 27265416 35351483 36888504 49907976 52258714 70702966 78388071 104517428 106054449 141405932 156776142 209034856 212108898 282811864 313552284 424217796 600975211 627104568 848435592 1201950422 1802925633 2403900844 3605851266 4807801688 7211702532 14423405064