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243140215204440 = 233351423158207891
BaseRepresentation
bin110111010010001001111110…
…001010000110101001011000
31011212212222101122110202002000
4313102021332022012221120
5223332102130043020230
62221041023423441000
7102133205123246061
oct6722117612065130
91155788348422060
10243140215204440
1170521205915544
122332a252156160
13a5890406c7218
144408099043568
151d1997d080b60
hexdd227e286a58

243140215204440 has 128 divisors (see below), whose sum is σ = 811036937548800. Its totient is φ = 64791826439040.

The previous prime is 243140215204343. The next prime is 243140215204441. The reversal of 243140215204440 is 44402512041342.

243140215204440 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 4 + 0 + 2 + 1 + 5 + 204 + 440 = 666.

It is a super-2 number, since 2×2431402152044402 (a number of 30 digits) contains 22 as substring.

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 = 243140215204395 and 243140215204404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243140215204441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77567106 + ... + 80640785.

It is an arithmetic number, because the mean of its divisors is an integer number (6336226074600).

Almost surely, 2243140215204440 is an apocalyptic number.

243140215204440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243140215204440 is an abundant number, since it is smaller than the sum of its proper divisors (567896722344360).

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

243140215204440 is a wasteful number, since it uses less digits than its factorization.

243140215204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158209334 (or 158209324 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 243140215204440 its reverse (44402512041342), we get a palindrome (287542727245782).

The spelling of 243140215204440 in words is "two hundred forty-three trillion, one hundred forty billion, two hundred fifteen million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1423 2846 4269 5692 7115 8538 11384 12807 14230 17076 21345 25614 28460 34152 38421 42690 51228 56920 64035 76842 85380 102456 128070 153684 170760 192105 256140 307368 384210 512280 768420 1536840 158207891 316415782 474623673 632831564 791039455 949247346 1265663128 1423871019 1582078910 1898494692 2373118365 2847742038 3164157820 3796989384 4271613057 4746236730 5695484076 6328315640 7119355095 8543226114 9492473460 11390968152 14238710190 17086452228 18984946920 21358065285 28477420380 34172904456 42716130570 56954840760 85432261140 170864522280 225129828893 450259657786 675389486679 900519315572 1125649144465 1350778973358 1801038631144 2026168460037 2251298288930 2701557946716 3376947433395 4052336920074 4502596577860 5403115893432 6078505380111 6753894866790 8104673840148 9005193155720 10130842300185 12157010760222 13507789733580 16209347680296 20261684600370 24314021520444 27015579467160 30392526900555 40523369200740 48628043040888 60785053801110 81046738401480 121570107602220 243140215204440