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323444030112 = 25327307522601
BaseRepresentation
bin1001011010011101100…
…01000011101010100000
31010220212101000011010200
410231032301003222200
520244403132430422
6404331012025200
732240146615350
oct4551661035240
91126771004120
10323444030112
111151987a50a5
1252828902200
1324667ba7388
14119249b6b60
15863097d2ac
hex4b4ec43aa0

323444030112 has 144 divisors (see below), whose sum is σ = 1054619197632. Its totient is φ = 92111385600.

The previous prime is 323444030111. The next prime is 323444030141. The reversal of 323444030112 is 211030444323.

323444030112 is a `hidden beast` number, since 3 + 2 + 344 + 4 + 0 + 301 + 12 = 666.

323444030112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (323444030111) 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 23 ways as a sum of consecutive naturals, for example, 357612 + ... + 880212.

It is an arithmetic number, because the mean of its divisors is an integer number (7323744428).

Almost surely, 2323444030112 is an apocalyptic number.

323444030112 is a gapful number since it is divisible by the number (32) 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 323444030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527309598816).

323444030112 is an abundant number, since it is smaller than the sum of its proper divisors (731175167520).

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

323444030112 is a wasteful number, since it uses less digits than its factorization.

323444030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522931 (or 522920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 323444030112 its reverse (211030444323), we get a palindrome (534474474435).

The spelling of 323444030112 in words is "three hundred twenty-three billion, four hundred forty-four million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 307 336 504 614 672 921 1008 1228 1842 2016 2149 2456 2763 3684 4298 4912 5526 6447 7368 8596 9824 11052 12894 14736 17192 19341 22104 25788 29472 34384 38682 44208 51576 68768 77364 88416 103152 154728 206304 309456 522601 618912 1045202 1567803 2090404 3135606 3658207 4180808 4703409 6271212 7316414 8361616 9406818 10974621 12542424 14632828 16723232 18813636 21949242 25084848 29265656 32923863 37627272 43898484 50169696 58531312 65847726 75254544 87796968 117062624 131695452 150509088 160438507 175593936 263390904 320877014 351187872 481315521 526781808 641754028 962631042 1053563616 1123069549 1283508056 1443946563 1925262084 2246139098 2567016112 2887893126 3369208647 3850524168 4492278196 5134032224 5775786252 6738417294 7701048336 8984556392 10107625941 11551572504 13476834588 15402096672 17969112784 20215251882 23103145008 26953669176 35938225568 40430503764 46206290016 53907338352 80861007528 107814676704 161722015056 323444030112