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13431112181442 = 232472183792
BaseRepresentation
bin1100001101110010110010…
…1010111010011011000010
31202120000001022010110202200
43003130230222322123002
53230023404204301232
644322100122454030
72554236323600634
oct303345452723302
952500038113680
1013431112181442
11430911475053a
12160b058364316
13765718c15c77
143460d8222a54
1518459264977c
hexc372caba6c2

13431112181442 has 54 divisors (see below), whose sum is σ = 29734699386483. Its totient is φ = 4381542866664.

The previous prime is 13431112181437. The next prime is 13431112181503. The reversal of 13431112181442 is 24418121113431.

13431112181442 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 11 + 121 + 81 + 442 = 666.

13431112181442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6715556090721 + 6715556090721 = 2591439^2 + 2591439^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2591439.

It is a junction number, because it is equal to n+sod(n) for n = 13431112181397 and 13431112181406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 730776609 + ... + 730794987.

Almost surely, 213431112181442 is an apocalyptic number.

13431112181442 is an abundant number, since it is smaller than the sum of its proper divisors (16303587205041).

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

13431112181442 is an frugal number, since it uses more digits than its factorization.

13431112181442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36860 (or 18431 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Adding to 13431112181442 its reverse (24418121113431), we get a palindrome (37849233294873).

The spelling of 13431112181442 in words is "thirteen trillion, four hundred thirty-one billion, one hundred twelve million, one hundred eighty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2209 4418 6627 13254 18379 19881 36758 39762 55137 110274 165411 330822 863813 1727626 2591439 5182878 7774317 15548634 40599211 81198422 121797633 243595266 337787641 365392899 675575282 730785798 1013362923 2026725846 3040088769 6080177538 15876019127 31752038254 47628057381 95256114762 142884172143 285768344286 746172898969 1492345797938 2238518696907 4477037393814 6715556090721 13431112181442