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14133464868 = 22319592813739
BaseRepresentation
bin11010010100110101…
…11000111100100100
31100110222121101221210
431022122320330210
5212421131333433
610254241111420
71010145316635
oct151232707444
940428541853
1014133464868
115aa2a77386
1228a5328570
13144316b783
149810d988c
1557abe8463
hex34a6b8f24

14133464868 has 96 divisors (see below), whose sum is σ = 35437248000. Its totient is φ = 4370768640.

The previous prime is 14133464861. The next prime is 14133464929. The reversal of 14133464868 is 86846433141.

14133464868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14133464861) 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, 3778143 + ... + 3781881.

It is an arithmetic number, because the mean of its divisors is an integer number (369138000).

Almost surely, 214133464868 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 14133464868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718624000).

14133464868 is an abundant number, since it is smaller than the sum of its proper divisors (21303783132).

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

14133464868 is a wasteful number, since it uses less digits than its factorization.

14133464868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4103 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 14133464868 in words is "fourteen billion, one hundred thirty-three million, four hundred sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 281 354 562 708 843 1121 1124 1686 2242 3363 3372 3739 4484 5339 6726 7478 10678 11217 13452 14956 16017 16579 21356 22434 32034 33158 44868 49737 64068 66316 71041 99474 142082 198948 213123 220601 284164 315001 426246 441202 630002 661803 852492 882404 945003 1050659 1260004 1323606 1890006 2101318 2647212 3151977 3780012 4191419 4202636 6303954 8382838 12574257 12607908 16765676 19962521 25148514 39925042 50297028 59887563 61988881 79850084 119775126 123977762 185966643 239550252 247955524 371933286 743866572 1177788739 2355577478 3533366217 4711154956 7066732434 14133464868