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14224034112201 = 3217315327011523
BaseRepresentation
bin1100111011111100101010…
…0000000010001011001001
31212100210201101122001002200
43032333022200002023021
53331021310213042301
650130233035350413
72665436553031404
oct316771240021311
955323641561080
1014224034112201
114594419489031
1217188682b2409
137c2422654094
14372638508d3b
15199eee350c86
hexcefca8022c9

14224034112201 has 144 divisors (see below), whose sum is σ = 22935555482112. Its totient is φ = 8456378112000.

The previous prime is 14224034112199. The next prime is 14224034112209. The reversal of 14224034112201 is 10221143042241.

14224034112201 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 40 + 3 + 411 + 2 + 201 = 666.

It is not a de Polignac number, because 14224034112201 - 21 = 14224034112199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14224034112209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9339483226 + ... + 9339484748.

It is an arithmetic number, because the mean of its divisors is an integer number (159274690848).

Almost surely, 214224034112201 is an apocalyptic number.

It is an amenable number.

14224034112201 is a deficient number, since it is larger than the sum of its proper divisors (8711521369911).

14224034112201 is a wasteful number, since it uses less digits than its factorization.

14224034112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14224034112201 its reverse (10221143042241), we get a palindrome (24445177154442).

The spelling of 14224034112201 in words is "fourteen trillion, two hundred twenty-four billion, thirty-four million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 17 31 51 53 93 153 159 279 477 527 701 901 1523 1581 1643 2103 2703 2809 4569 4743 4929 6309 8109 8427 11917 13707 14787 21731 25281 25891 27931 35751 37153 47213 47753 65193 77673 80719 83793 87079 107253 111459 141639 143259 195579 233019 242157 251379 261237 334377 369427 424917 429777 631601 726471 783711 802621 1067623 1108281 1151743 1372223 1480343 1894803 1969109 2407863 2502289 3202869 3324843 3455229 4116669 4278107 4441029 5684409 5907327 7223589 7506867 9608607 10365687 12350007 12834321 13323087 17721981 18149591 19579631 22520601 33096313 33474853 38502963 42538913 54448773 56584019 58738893 61042379 72727819 99288939 100424559 127616739 132621317 163346319 169752057 176216679 183127137 218183457 297866817 301273677 382850217 397863951 509256171 549381411 562637321 654550371 961928323 1037720443 1193591853 1687911963 1754104589 2254562389 2885784969 2998953007 3113161329 5063735889 5262313767 6763687167 8657354907 8996859021 9339483987 15786941301 20291061501 26990577063 29819778013 50982201119 89459334039 92967543217 152946603357 268378002117 278902629651 458839810071 836707888953 1580448234689 4741344704067 14224034112201