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12214243314 = 2337138329947
BaseRepresentation
bin10110110000000011…
…01000111111110010
31011112020020211221000
423120001220333302
5200003321241224
65340001342430
7611452232550
oct133001507762
934466224830
1012214243314
1151a8692869
12244a637a16
1311c8667c10
1483c26abd0
154b74900c9
hex2d8068ff2

12214243314 has 128 divisors (see below), whose sum is σ = 33810094080. Its totient is φ = 3182421312.

The previous prime is 12214243291. The next prime is 12214243367. The reversal of 12214243314 is 41334241221.

12214243314 is a `hidden beast` number, since 1 + 2 + 214 + 2 + 433 + 14 = 666.

12214243314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 392889 + ... + 422835.

It is an arithmetic number, because the mean of its divisors is an integer number (264141360).

Almost surely, 212214243314 is an apocalyptic number.

12214243314 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 12214243314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905047040).

12214243314 is an abundant number, since it is smaller than the sum of its proper divisors (21595850766).

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

12214243314 is a wasteful number, since it uses less digits than its factorization.

12214243314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30061 (or 30055 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12214243314 its reverse (41334241221), we get a palindrome (53548484535).

The spelling of 12214243314 in words is "twelve billion, two hundred fourteen million, two hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 83 91 117 126 166 182 189 234 249 273 351 378 498 546 581 702 747 819 1079 1162 1494 1638 1743 2158 2241 2457 3237 3486 4482 4914 5229 6474 7553 9711 10458 15106 15687 19422 22659 29133 29947 31374 45318 58266 59894 67977 89841 135954 179682 203931 209629 269523 389311 407862 419258 539046 628887 778622 808569 1167933 1257774 1617138 1886661 2335866 2485601 2725177 3503799 3773322 4971202 5450354 5659983 7007598 7456803 8175531 10511397 11319966 14913606 16351062 17399207 21022794 22370409 24526593 32312813 34798414 44740818 49053186 52197621 64625626 67111227 73579779 96938439 104395242 134222454 147159558 156592863 193876878 226189691 290815317 313185726 452379382 469778589 581630634 678569073 872445951 939557178 1357138146 1744891902 2035707219 4071414438 6107121657 12214243314