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14134345224 = 2331776145523
BaseRepresentation
bin11010010100111100…
…01111111000001000
31100111001021010120120
431022132033320020
5212421343021344
610254312023240
71010155644366
oct151236177010
940431233516
1014134345224
115aa351884a
1228a5691b20
1314433b93ac
14981288636
1557ad1e219
hex34a78fe08

14134345224 has 64 divisors (see below), whose sum is σ = 37464431040. Its totient is φ = 4428380160.

The previous prime is 14134345201. The next prime is 14134345261. The reversal of 14134345224 is 42254343141.

14134345224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141343452242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287727 + ... + 333249.

It is an arithmetic number, because the mean of its divisors is an integer number (585381735).

Almost surely, 214134345224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732215520).

14134345224 is an abundant number, since it is smaller than the sum of its proper divisors (23330085816).

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

14134345224 is a wasteful number, since it uses less digits than its factorization.

14134345224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46310 (or 46306 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 14134345224 its reverse (42254343141), we get a palindrome (56388688365).

The spelling of 14134345224 in words is "fourteen billion, one hundred thirty-four million, three hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 761 1522 2283 3044 4566 6088 9132 12937 18264 25874 38811 45523 51748 77622 91046 103496 136569 155244 182092 273138 310488 364184 546276 773891 1092552 1547782 2321673 3095564 4643346 6191128 9286692 18573384 34643003 69286006 103929009 138572012 207858018 277144024 415716036 588931051 831432072 1177862102 1766793153 2355724204 3533586306 4711448408 7067172612 14134345224