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14245222431 = 31121923891009
BaseRepresentation
bin11010100010001010…
…01101100000011111
31100202202220021111210
431101011031200133
5213133234104211
610313312315503
71013003251506
oct152105154037
940682807453
1014245222431
116050069500
122916842b93
13146036aacb
14991cab83d
155859219a6
hex35114d81f

14245222431 has 96 divisors (see below), whose sum is σ = 23212224000. Its totient is φ = 7727892480.

The previous prime is 14245222427. The next prime is 14245222447. The reversal of 14245222431 is 13422254241.

It is a happy number.

It is not a de Polignac number, because 14245222431 - 22 = 14245222427 is a prime.

It is a super-2 number, since 2×142452224312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245222451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14117655 + ... + 14118663.

It is an arithmetic number, because the mean of its divisors is an integer number (241794000).

Almost surely, 214245222431 is an apocalyptic number.

14245222431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14245222431 is a deficient number, since it is larger than the sum of its proper divisors (8967001569).

14245222431 is a wasteful number, since it uses less digits than its factorization.

14245222431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 14245222431 its reverse (13422254241), we get a palindrome (27667476672).

The spelling of 14245222431 in words is "fourteen billion, two hundred forty-five million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 19 23 33 57 69 89 121 209 253 267 363 437 627 759 979 1009 1311 1691 2047 2299 2783 2937 3027 4807 5073 6141 6897 8349 10769 11099 14421 18601 19171 22517 23207 32307 33297 38893 52877 55803 57513 67551 69621 89801 116679 122089 158631 204611 210881 247687 255277 269403 366267 427823 440933 613833 632643 743061 765831 987811 1283469 1322799 1706219 2065423 2319691 2808047 2963433 4706053 4850263 5118657 6196269 6959073 8424141 10865921 14118159 14550789 18768409 22719653 32597763 39243037 53352893 56305227 68158959 117729111 160058679 206452499 249916183 431673407 619357497 749748549 1295020221 4748407477 14245222431