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14223231332331 = 3729533389130027
BaseRepresentation
bin1100111011111001101010…
…1001101010111111101011
31212100201122110001121010220
43032332122221222333223
53331013134210113311
650130021241141123
72665410634356330
oct316763251527753
955321573047126
1014223231332331
11459404731969a
12171868348a7a3
137c2325239ac8
1437259da58987
15199ea3b2a206
hexcef9aa6afeb

14223231332331 has 64 divisors (see below), whose sum is σ = 22850808652800. Its totient is φ = 7696906753536.

The previous prime is 14223231332311. The next prime is 14223231332333. The reversal of 14223231332331 is 13323313232241.

It is not a de Polignac number, because 14223231332331 - 219 = 14223230808043 is a prime.

It is a super-2 number, since 2×142232313323312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14223231332292 and 14223231332301.

It is not an unprimeable number, because it can be changed into a prime (14223231332333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109321740 + ... + 109451766.

It is an arithmetic number, because the mean of its divisors is an integer number (357043885200).

Almost surely, 214223231332331 is an apocalyptic number.

14223231332331 is a deficient number, since it is larger than the sum of its proper divisors (8627577320469).

14223231332331 is a wasteful number, since it uses less digits than its factorization.

14223231332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133508.

The product of its digits is 46656, while the sum is 33.

Adding to 14223231332331 its reverse (13323313232241), we get a palindrome (27546544564572).

The spelling of 14223231332331 in words is "fourteen trillion, two hundred twenty-three billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 53 87 159 203 371 609 1113 1537 3389 4611 10167 10759 23723 32277 71169 98281 130027 179617 294843 390081 538851 687967 910189 1257319 2063901 2730567 3770783 3771957 5208893 6891431 11312349 15626679 20674293 26395481 36462251 48240017 79186443 109386753 144720051 199851499 440661503 599554497 1321984509 1398960493 3084630521 4196881479 9253891563 12779183587 23355059659 38337550761 70065178977 89454285109 163485417613 268362855327 490456252839 677296730111 2031890190333 4741077110777 14223231332331