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321233314120340 = 22554161348432049
BaseRepresentation
bin100100100001010001111010…
…1100101000000001010010100
31120010101121022222111212022012
41021002203311211000022110
5314101041311403322330
63055112314112123352
7124443224661536216
oct11102436545001224
91503347288455265
10321233314120340
119339a313316306
1230041202b36558
1310a3222cb52a9b
145947abd83a5b6
152721037e4ac95
hex12428f5940294

321233314120340 has 48 divisors (see below), whose sum is σ = 676939412326800. Its totient is φ = 128046585784320.

The previous prime is 321233314120259. The next prime is 321233314120351. The reversal of 321233314120340 is 43021413332123.

It can be written as a sum of positive squares in 8 ways, for example, as 152801144348176 + 168432169772164 = 12361276^2 + 12978142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321233314120297 and 321233314120306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17583365 + ... + 30848684.

It is an arithmetic number, because the mean of its divisors is an integer number (14102904423475).

Almost surely, 2321233314120340 is an apocalyptic number.

It is an amenable number.

321233314120340 is an abundant number, since it is smaller than the sum of its proper divisors (355706098206460).

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

321233314120340 is a wasteful number, since it uses less digits than its factorization.

321233314120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48433212 (or 48433210 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 321233314120340 its reverse (43021413332123), we get a palindrome (364254727452463).

The spelling of 321233314120340 in words is "three hundred twenty-one trillion, two hundred thirty-three billion, three hundred fourteen million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 541 613 1082 1226 2164 2452 2705 3065 5410 6130 10820 12260 331633 663266 1326532 1658165 3316330 6632660 48432049 96864098 193728196 242160245 484320490 968640980 26201738509 29688846037 52403477018 59377692074 104806954036 118755384148 131008692545 148444230185 262017385090 296888460370 524034770180 593776920740 16061665706017 32123331412034 64246662824068 80308328530085 160616657060170 321233314120340