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12111444144342 = 234194938359159
BaseRepresentation
bin1011000000111110101001…
…0100110111000011010110
31120212211202100220012210000
42300033222110313003112
53041413214200104332
641431530504512130
72360010606424224
oct260175224670326
946784670805700
1012111444144342
11394a486524a34
12143734217b646
1369b14815326a
142dc2a88c5b14
151600a6bccb7c
hexb03ea5370d6

12111444144342 has 40 divisors (see below), whose sum is σ = 27152531406000. Its totient is φ = 4035076548336.

The previous prime is 12111444144301. The next prime is 12111444144361. The reversal of 12111444144342 is 24344144411121.

12111444144342 is a `hidden beast` number, since 1 + 21 + 1 + 144 + 414 + 43 + 42 = 666.

12111444144342 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 2×121114441443422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111444144297 and 12111444144306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18863842 + ... + 19495317.

It is an arithmetic number, because the mean of its divisors is an integer number (678813285150).

Almost surely, 212111444144342 is an apocalyptic number.

12111444144342 is an abundant number, since it is smaller than the sum of its proper divisors (15041087261658).

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

12111444144342 is a wasteful number, since it uses less digits than its factorization.

12111444144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38361122 (or 38361113 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 12111444144342 its reverse (24344144411121), we get a palindrome (36455588555463).

The spelling of 12111444144342 in words is "twelve trillion, one hundred eleven billion, four hundred forty-four million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1949 3898 5847 11694 17541 35082 52623 105246 157869 315738 38359159 76718318 115077477 230154954 345232431 690464862 1035697293 2071394586 3107091879 6214183758 74762000891 149524001782 224286002673 448572005346 672858008019 1345716016038 2018574024057 4037148048114 6055722072171 12111444144342