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34313231243241 = 321131103190116091
BaseRepresentation
bin1111100110101001010111…
…11101011001011111101001
311111111022110002020021201100
413303110223331121133221
513444141444144240431
6200551140353512013
710141022600134116
oct763245375313751
9144438402207640
1034313231243241
11aa2a183546895
123a22173872609
13161b9543113a2
14868aaab8d90d
153e7874d214e6
hex1f352bf597e9

34313231243241 has 48 divisors (see below), whose sum is σ = 50076943517952. Its totient is φ = 22639170624000.

The previous prime is 34313231243201. The next prime is 34313231243287. The reversal of 34313231243241 is 14234213231343.

34313231243241 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 323 + 1 + 2 + 4 + 324 + 1 = 666.

It is not a de Polignac number, because 34313231243241 - 222 = 34313227048937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34313231243196 and 34313231243205.

It is not an unprimeable number, because it can be changed into a prime (34313231243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132440606 + ... + 2132456696.

It is an arithmetic number, because the mean of its divisors is an integer number (1043269656624).

Almost surely, 234313231243241 is an apocalyptic number.

It is an amenable number.

34313231243241 is a deficient number, since it is larger than the sum of its proper divisors (15763712274711).

34313231243241 is a wasteful number, since it uses less digits than its factorization.

34313231243241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19214 (or 19211 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 34313231243241 its reverse (14234213231343), we get a palindrome (48547444474584).

The spelling of 34313231243241 in words is "thirty-four trillion, three hundred thirteen billion, two hundred thirty-one million, two hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 113 339 1017 1103 1901 3309 5703 9927 16091 17109 48273 124639 144819 214813 373917 644439 1121751 1818283 1933317 2096803 5454849 6290409 16364547 17748373 18871227 30588991 53245119 91766973 159735357 236938739 275300919 710816217 2005566149 2132448651 3456555983 6016698447 10369667949 18050095341 31109003847 33739657073 101218971219 303656913657 3812581249249 11437743747747 34313231243241