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14341323114 = 23217449104381
BaseRepresentation
bin11010101101100111…
…10011100101101010
31101000110201200212100
431112303303211222
5213332334314424
610331024154230
71015251143436
oct152663634552
941013650770
1014341323114
11609a337358
122942a68976
131477247811
149a09659c6
1558e0a5dc9
hex356cf396a

14341323114 has 48 divisors (see below), whose sum is σ = 32974273800. Its totient is φ = 4489175040.

The previous prime is 14341323067. The next prime is 14341323151. The reversal of 14341323114 is 41132314341.

14341323114 is a `hidden beast` number, since 1 + 4 + 3 + 413 + 231 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14245616025 + 95707089 = 119355^2 + 9783^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85204 + ... + 189584.

Almost surely, 214341323114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341323114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487136900).

14341323114 is an abundant number, since it is smaller than the sum of its proper divisors (18632950686).

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

14341323114 is a wasteful number, since it uses less digits than its factorization.

14341323114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104855 (or 104852 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 14341323114 its reverse (41132314341), we get a palindrome (55473637455).

It can be divided in two parts, 14 and 341323114, that added together give a triangular number (341323128 = T26127).

The spelling of 14341323114 in words is "fourteen billion, three hundred forty-one million, three hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 449 898 1347 2694 4041 7633 8082 15266 22899 45798 68697 104381 137394 208762 313143 626286 939429 1774477 1878858 3548954 5323431 10646862 15970293 31940586 46867069 93734138 140601207 281202414 421803621 796740173 843607242 1593480346 2390220519 4780441038 7170661557 14341323114