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243032333440 = 27513112925873
BaseRepresentation
bin1110001001010111011…
…0110001110010000000
3212020022100012201110211
43202111312301302000
512440212234132230
6303351510203504
723362365515041
oct3422566616200
9766270181424
10243032333440
1194084464236
123b127053594
1319bc1697080
14ba972b08c8
1564c628a42a
hex3895db1c80

243032333440 has 128 divisors (see below), whose sum is σ = 626269820400. Its totient is φ = 89652068352.

The previous prime is 243032333419. The next prime is 243032333441. The reversal of 243032333440 is 44333230342.

243032333440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16616241216 + 226416092224 = 128904^2 + 475832^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (243032333441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9380344 + ... + 9406216.

Almost surely, 2243032333440 is an apocalyptic number.

243032333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243032333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313134910200).

243032333440 is an abundant number, since it is smaller than the sum of its proper divisors (383237486960).

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

243032333440 is a wasteful number, since it uses less digits than its factorization.

243032333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27034 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 243032333440 its reverse (44333230342), we get a palindrome (287365563782).

The spelling of 243032333440 in words is "two hundred forty-three billion, thirty-two million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1129 1664 2080 2258 4160 4516 5645 8320 9032 11290 14677 18064 22580 25873 29354 36128 45160 51746 58708 72256 73385 90320 103492 117416 129365 144512 146770 180640 206984 234832 258730 293540 336349 361280 413968 469664 517460 587080 672698 722560 827936 939328 1034920 1174160 1345396 1655872 1681745 1878656 2069840 2348320 2690792 3311744 3363490 4139680 4696640 5381584 6726980 8279360 9393280 10763168 13453960 16558720 21526336 26907920 29210617 43052672 53815840 58421234 107631680 116842468 146053085 215263360 233684936 292106170 379738021 467369872 584212340 759476042 934739744 1168424680 1518952084 1869479488 1898690105 2336849360 3037904168 3738958976 3797380210 4673698720 6075808336 7594760420 9347397440 12151616672 15189520840 18694794880 24303233344 30379041680 48606466688 60758083360 121516166720 243032333440