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535407480043140 = 2235367105892296213
BaseRepresentation
bin111100110111100110100010…
…0101010000111011010000100
32121012201110021211222110111110
41321233031010222013122010
51030134104004342340030
65134414444545005020
7220526625321464235
oct17157150452073204
92535643254873443
10535407480043140
11145663045492911
1250071681923770
1319c9992a0c6953
14962dc0894b08c
1541d729d3311b0
hex1e6f344a87684

535407480043140 has 96 divisors (see below), whose sum is σ = 1503368412618240. Its totient is φ = 142372785793536.

The previous prime is 535407480043087. The next prime is 535407480043141. The reversal of 535407480043140 is 41340084704535.

It is a super-3 number, since 3×5354074800431403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 535407480043140.

It is not an unprimeable number, because it can be changed into a prime (535407480043141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232021674 + ... + 234317886.

It is an arithmetic number, because the mean of its divisors is an integer number (15660087631440).

Almost surely, 2535407480043140 is an apocalyptic number.

It is an amenable number.

535407480043140 is an abundant number, since it is smaller than the sum of its proper divisors (967960932575100).

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

535407480043140 is a wasteful number, since it uses less digits than its factorization.

535407480043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307181 (or 2307179 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 535407480043140 in words is "five hundred thirty-five trillion, four hundred seven billion, four hundred eighty million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 5505 7340 10589 11010 21178 22020 31767 42356 52945 63534 105890 127068 158835 211780 317670 635340 2296213 3886163 4592426 6888639 7772326 9184852 11481065 11658489 13777278 15544652 19430815 22962130 23316978 27554556 34443195 38861630 45924260 46633956 58292445 68886390 77723260 116584890 137772780 233169780 842710171 1685420342 2528130513 3370840684 4213550855 5056261026 8427101710 10112522052 12640652565 16854203420 24314599457 25281305130 48629198914 50562610260 72943798371 97258397828 121572997285 145887596742 243145994570 291775193484 364718991855 486291989140 729437983710 1458875967420 8923458000719 17846916001438 26770374002157 35693832002876 44617290003595 53540748004314 89234580007190 107081496008628 133851870010785 178469160014380 267703740021570 535407480043140