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243242241332040 = 233256079111148691
BaseRepresentation
bin110111010011101000111111…
…011000111001001101001000
31011220020201202000122000212200
4313103220333120321031020
5223340240102240111130
62221155535405440200
7102143446332106116
oct6723507730711510
91156221660560780
10243242241332040
1170560500a13265
1223345b86570060
13a59584cbcb522
14440cdb7200ab6
151d1c4500de760
hexdd3a3f639348

243242241332040 has 96 divisors (see below), whose sum is σ = 790667335411200. Its totient is φ = 64853926830720.

The previous prime is 243242241332039. The next prime is 243242241332099. The reversal of 243242241332040 is 40233142242342.

243242241332040 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 42 + 241 + 332 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243242241331986 and 243242241332004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53385906 + ... + 57762785.

It is an arithmetic number, because the mean of its divisors is an integer number (8236118077200).

Almost surely, 2243242241332040 is an apocalyptic number.

243242241332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243242241332040 is an abundant number, since it is smaller than the sum of its proper divisors (547425094079160).

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

243242241332040 is a wasteful number, since it uses less digits than its factorization.

243242241332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111154787 (or 111154780 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 243242241332040 its reverse (40233142242342), we get a palindrome (283475383574382).

The spelling of 243242241332040 in words is "two hundred forty-three trillion, two hundred forty-two billion, two hundred forty-one million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6079 12158 18237 24316 30395 36474 48632 54711 60790 72948 91185 109422 121580 145896 182370 218844 243160 273555 364740 437688 547110 729480 1094220 2188440 111148691 222297382 333446073 444594764 555743455 666892146 889189528 1000338219 1111486910 1333784292 1667230365 2000676438 2222973820 2667568584 3334460730 4001352876 4445947640 5001691095 6668921460 8002705752 10003382190 13337842920 20006764380 40013528760 675672892589 1351345785178 2027018677767 2702691570356 3378364462945 4054037355534 5405383140712 6081056033301 6756728925890 8108074711068 10135093388835 12162112066602 13513457851780 16216149422136 20270186777670 24324224133204 27026915703560 30405280166505 40540373555340 48648448266408 60810560333010 81080747110680 121621120666020 243242241332040