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323442232140 = 223547142980263
BaseRepresentation
bin1001011010011101010…
…10001100101101001100
31010220212020121210210010
410231032222030231030
520244402202412030
6404330505313220
732240125416426
oct4551652145514
91126766553703
10323442232140
11115197787275
1252828195810
13246676c7ba1
1411924669816
1586307256b0
hex4b4ea8cb4c

323442232140 has 96 divisors (see below), whose sum is σ = 925565921280. Its totient is φ = 84356004096.

The previous prime is 323442232123. The next prime is 323442232153. The reversal of 323442232140 is 41232244323.

It is a super-2 number, since 2×3234422321402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 323442232098 and 323442232107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3989649 + ... + 4069911.

It is an arithmetic number, because the mean of its divisors is an integer number (9641311680).

Almost surely, 2323442232140 is an apocalyptic number.

323442232140 is a gapful number since it is divisible by the number (30) 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 323442232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462782960640).

323442232140 is an abundant number, since it is smaller than the sum of its proper divisors (602123689140).

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

323442232140 is a wasteful number, since it uses less digits than its factorization.

323442232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81751 (or 81749 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 323442232140 its reverse (41232244323), we get a palindrome (364674476463).

The spelling of 323442232140 in words is "three hundred twenty-three billion, four hundred forty-two million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1429 2820 2858 4287 5716 7145 8574 14290 17148 21435 28580 42870 67163 80263 85740 134326 160526 201489 240789 268652 321052 335815 401315 402978 481578 671630 802630 805956 963156 1007445 1203945 1343260 1605260 2014890 2407890 3772361 4029780 4815780 7544722 11317083 15089444 18861805 22634166 37723610 45268332 56585415 75447220 113170830 114695827 226341660 229391654 344087481 458783308 573479135 688174962 1146958270 1376349924 1720437405 2293916540 3440874810 5390703869 6881749620 10781407738 16172111607 21562815476 26953519345 32344223214 53907038690 64688446428 80860558035 107814077380 161721116070 323442232140