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14414021434404 = 223229109126665449
BaseRepresentation
bin1101000111000000011010…
…1000001001110000100100
31220000222002221021222210200
43101300012220021300210
53342124403441400104
650353413211150500
73015243613442064
oct321600650116044
956028087258720
1014414021434404
114657a523661a9
12174964a745430
1380730c467427
1437b8dc8c73a4
1519ee1d760b39
hexd1c06a09c24

14414021434404 has 72 divisors (see below), whose sum is σ = 38037634635000. Its totient is φ = 4596435777024.

The previous prime is 14414021434403. The next prime is 14414021434451. The reversal of 14414021434404 is 40443412041441.

14414021434404 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 0 + 214 + 34 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7421973948900 + 6992047485504 = 2724330^2 + 2644248^2 .

It is a super-2 number, since 2×144140214344042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14414021434403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63218929 + ... + 63446520.

Almost surely, 214414021434404 is an apocalyptic number.

It is an amenable number.

14414021434404 is an abundant number, since it is smaller than the sum of its proper divisors (23623613200596).

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

14414021434404 is a wasteful number, since it uses less digits than its factorization.

14414021434404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126665597 (or 126665592 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14414021434404 its reverse (40443412041441), we get a palindrome (54857433475845).

The spelling of 14414021434404 in words is "fourteen trillion, four hundred fourteen billion, twenty-one million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 327 348 436 522 654 981 1044 1308 1962 3161 3924 6322 9483 12644 18966 28449 37932 56898 113796 126665449 253330898 379996347 506661796 759992694 1139989041 1519985388 2279978082 3673298021 4559956164 7346596042 11019894063 13806533941 14693192084 22039788126 27613067882 33059682189 41419601823 44079576252 55226135764 66119364378 82839203646 124258805469 132238728756 165678407292 248517610938 400389484289 497035221876 800778968578 1201168452867 1601557937156 2402336905734 3603505358601 4804673811468 7207010717202 14414021434404