Search a number
-
+
12343431114 = 2327235417873
BaseRepresentation
bin10110111111011100…
…11100111111001010
31011212020100021021100
423133232130333022
5200234404243424
65400454322230
7614611301430
oct133756347712
934766307240
1012343431114
1152645aa543
122485959376
13121935aac1
14851498d50
154c39acdc9
hex2dfb9cfca

12343431114 has 96 divisors (see below), whose sum is σ = 31956597504. Its totient is φ = 3366696960.

The previous prime is 12343431097. The next prime is 12343431181. The reversal of 12343431114 is 41113434321.

12343431114 is a `hidden beast` number, since 1 + 2 + 343 + 4 + 311 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563882 + ... + 1571754.

It is an arithmetic number, because the mean of its divisors is an integer number (332881224).

Almost surely, 212343431114 is an apocalyptic number.

12343431114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343431114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978298752).

12343431114 is an abundant number, since it is smaller than the sum of its proper divisors (19613166390).

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

12343431114 is a wasteful number, since it uses less digits than its factorization.

12343431114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8449 counting only the distinct ones).

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

Adding to 12343431114 its reverse (41113434321), we get a palindrome (53456865435).

The spelling of 12343431114 in words is "twelve billion, three hundred forty-three million, four hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 541 966 1082 1449 1623 2898 3246 3787 4869 7574 7873 9738 11361 12443 15746 22722 23619 24886 34083 37329 47238 55111 68166 70857 74658 87101 110222 111987 141714 165333 174202 181079 223974 261303 330666 362158 495999 522606 543237 783909 991998 1086474 1267553 1567818 1629711 2535106 3259422 3802659 4259293 7605318 8518586 11407977 12777879 22815954 25555758 29815051 38333637 59630102 76667274 89445153 97963739 178890306 195927478 268335459 293891217 536670918 587782434 685746173 881673651 1371492346 1763347302 2057238519 4114477038 6171715557 12343431114