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324205323140 = 2251967127100267
BaseRepresentation
bin1001011011111000010…
…01001010001110000100
31010222211102111211211202
410231330021022032010
520302433030320030
6404534325122032
732265052530506
oct4557411121604
91128742454752
10324205323140
111155494a8896
12529bb859318
132475982711a
1411997b47d76
15867770b745
hex4b7c24a384

324205323140 has 96 divisors (see below), whose sum is σ = 733095444480. Its totient is φ = 120068936064.

The previous prime is 324205323119. The next prime is 324205323199. The reversal of 324205323140 is 41323502423.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3183287 + ... + 3283553.

It is an arithmetic number, because the mean of its divisors is an integer number (7636410880).

Almost surely, 2324205323140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324205323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366547722240).

324205323140 is an abundant number, since it is smaller than the sum of its proper divisors (408890121340).

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

324205323140 is a wasteful number, since it uses less digits than its factorization.

324205323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100489 (or 100487 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 324205323140 its reverse (41323502423), we get a palindrome (365528825563).

The spelling of 324205323140 in words is "three hundred twenty-four billion, two hundred five million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 127 134 190 254 268 335 380 508 635 670 1270 1273 1340 2413 2540 2546 4826 5092 6365 8509 9652 12065 12730 17018 24130 25460 34036 42545 48260 85090 100267 161671 170180 200534 323342 401068 501335 646684 808355 1002670 1616710 1905073 2005340 3233420 3810146 6717889 7620292 9525365 12733909 13435778 19050730 25467818 26871556 33589445 38101460 50935636 63669545 67178890 127339090 127639891 134357780 241944271 254678180 255279782 483888542 510559564 638199455 853171903 967777084 1209721355 1276398910 1706343806 2419442710 2552797820 3412687612 4265859515 4838885420 8531719030 16210266157 17063438060 32420532314 64841064628 81051330785 162102661570 324205323140