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13342041342 = 23272233311987
BaseRepresentation
bin11000110110011111…
…10110010011111110
31021102211101220222100
430123033312103332
5204311030310332
610043530125530
7651425323500
oct143317662376
937384356870
1013342041342
115727264153
1227042808a6
1313481cc526
14907d63d70
155314b767c
hex31b3f64fe

13342041342 has 144 divisors (see below), whose sum is σ = 35213173632. Its totient is φ = 3633426720.

The previous prime is 13342041313. The next prime is 13342041343. The reversal of 13342041342 is 24314024331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342041343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6713673 + ... + 6715659.

It is an arithmetic number, because the mean of its divisors is an integer number (244535928).

Almost surely, 213342041342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342041342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606586816).

13342041342 is an abundant number, since it is smaller than the sum of its proper divisors (21871132290).

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

13342041342 is a wasteful number, since it uses less digits than its factorization.

13342041342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13342041342 its reverse (24314024331), we get a palindrome (37656065673).

The spelling of 13342041342 in words is "thirteen billion, three hundred forty-two million, forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 331 414 441 483 662 882 966 993 1127 1449 1986 1987 2254 2317 2898 2979 3381 3974 4634 5958 5961 6762 6951 7613 10143 11922 13902 13909 15226 16219 17883 20286 20853 22839 27818 32438 35766 41706 41727 45678 45701 48657 53291 68517 83454 91402 97314 97363 106582 125181 137034 137103 145971 159873 194726 250362 274206 291942 292089 319746 319907 373037 411309 479619 584178 639814 657697 746074 822618 876267 959238 959721 1119111 1315394 1752534 1919442 1973091 2238222 2239349 2879163 3357333 3946182 4478698 4603879 5758326 5919273 6714666 6718047 9207758 11838546 13436094 13811637 15127031 20154141 27623274 30254062 32227153 40308282 41434911 45381093 64454306 82869822 90762186 96681459 105889217 136143279 193362918 211778434 272286558 290044377 317667651 580088754 635335302 741224519 953002953 1482449038 1906005906 2223673557 4447347114 6671020671 13342041342