Search a number
-
+
14224433402322 = 232111310635198681
BaseRepresentation
bin1100111011111110001001…
…0011001101000111010010
31212100211202012222002011200
43032333202103031013102
53331023114422333242
650130340421452030
72665452501655503
oct316774223150722
955324665862150
1014224433402322
114594603909670
121718959b71016
137c24872a7520
14372675566baa
1519a02442404c
hexcefe24cd1d2

14224433402322 has 96 divisors (see below), whose sum is σ = 36241717389696. Its totient is φ = 3975118675200.

The previous prime is 14224433402299. The next prime is 14224433402327. The reversal of 14224433402322 is 22320433442241.

14224433402322 is a `hidden beast` number, since 1 + 4 + 2 + 244 + 3 + 3 + 402 + 3 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (14224433402327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136822 + ... + 5335502.

It is an arithmetic number, because the mean of its divisors is an integer number (377517889476).

Almost surely, 214224433402322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224433402322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120858694848).

14224433402322 is an abundant number, since it is smaller than the sum of its proper divisors (22017283987374).

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

14224433402322 is a wasteful number, since it uses less digits than its factorization.

14224433402322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199776 (or 5199773 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14224433402322 its reverse (22320433442241), we get a palindrome (36544866844563).

The spelling of 14224433402322 in words is "fourteen trillion, two hundred twenty-four billion, four hundred thirty-three million, four hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1063 1287 2126 2574 3189 6378 9567 11693 13819 19134 23386 27638 35079 41457 70158 82914 105237 124371 152009 210474 248742 304018 456027 912054 1368081 2736162 5198681 10397362 15596043 31192086 46788129 57185491 67582853 93576258 114370982 135165706 171556473 202748559 343112946 405497118 514669419 608245677 743411383 1029338838 1216491354 1486822766 2230234149 4460468298 5526197903 6690702447 11052395806 13381404894 16578593709 33157187418 49735781127 60788176933 71840572739 99471562254 121576353866 143681145478 182364530799 215521718217 364729061598 431043436434 547093592397 646565154651 790246300129 1094187184794 1293130309302 1580492600258 2370738900387 4741477800774 7112216701161 14224433402322