Search a number
-
+
133456542441013 = 111921392392713733
BaseRepresentation
bin11110010110000011000101…
…110011100001111000110101
3122111112022122220102112200201
4132112003011303201320311
5114443022444331103023
61151501031134240501
740052626350530431
oct3626030563417065
9574468586375621
10133456542441013
11395836690040a0
1212b74932056131
135960b89a538bc
1424d548c8399c1
15106679e611bad
hex7960c5ce1e35

133456542441013 has 96 divisors (see below), whose sum is σ = 156023033241600. Its totient is φ = 113184654307200.

The previous prime is 133456542440999. The next prime is 133456542441083. The reversal of 133456542441013 is 310144245654331.

It is not a de Polignac number, because 133456542441013 - 225 = 133456508886581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133456542441083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35750478295 + ... + 35750482027.

It is an arithmetic number, because the mean of its divisors is an integer number (1625239929600).

Almost surely, 2133456542441013 is an apocalyptic number.

It is an amenable number.

133456542441013 is a deficient number, since it is larger than the sum of its proper divisors (22566490800587).

133456542441013 is a wasteful number, since it uses less digits than its factorization.

133456542441013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 133456542441013 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, five hundred forty-two million, four hundred forty-one thousand, thirteen".

Divisors: 1 11 19 139 209 239 271 361 1529 2629 2641 2981 3733 3971 4541 5149 29051 33221 37669 41063 49951 50179 56639 64769 70927 86279 97831 365431 414359 518887 551969 631199 712459 715711 780197 892187 949069 1011643 1076141 1230611 1347613 5707757 6943189 7872821 9002891 9814057 9858853 11128073 11992781 13536721 13598509 14823743 16951553 19221217 23381609 99031801 108447383 124013993 131920591 140618377 149583599 171054929 186467083 187318207 211433387 241782677 257197699 322079507 365203123 1364153923 1546802147 1881604219 2060500277 2356265867 2659609447 2671749163 3250043651 3542874577 4017234353 4593870863 25918924537 29389240793 33607792103 35750480161 44769051473 50532579493 50763234097 87283546397 369685713133 492459566203 558395575067 638548049957 960119010367 7024028549527 12132412949183 133456542441013