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34323431341131 = 32227119330374637
BaseRepresentation
bin1111100110111100010111…
…11011101011110001001011
311111112021202221111221112200
413303132023323223301023
513444323341410404011
6200555544445211243
710141533424421622
oct763361373536113
9144467687457480
1034323431341131
11aa33538200359
123a2413b860b23
13161c8bb5bb57a
1486939771c6b9
153e7c70557856
hex1f378beebc4b

34323431341131 has 48 divisors (see below), whose sum is σ = 49865598959904. Its totient is φ = 22749986299392.

The previous prime is 34323431341097. The next prime is 34323431341211. The reversal of 34323431341131 is 13114313432343.

34323431341131 is a `hidden beast` number, since 3 + 4 + 3 + 234 + 3 + 1 + 3 + 411 + 3 + 1 = 666.

It is not a de Polignac number, because 34323431341131 - 215 = 34323431308363 is a prime.

It is a super-2 number, since 2×343234313411312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34323431341531) 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, 7402074745 + ... + 7402079381.

It is an arithmetic number, because the mean of its divisors is an integer number (1038866644998).

Almost surely, 234323431341131 is an apocalyptic number.

34323431341131 is a deficient number, since it is larger than the sum of its proper divisors (15542167618773).

34323431341131 is a wasteful number, since it uses less digits than its factorization.

34323431341131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9097 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 34323431341131 its reverse (13114313432343), we get a palindrome (47437744773474).

The spelling of 34323431341131 in words is "thirty-four trillion, three hundred twenty-three billion, four hundred thirty-one million, three hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 227 681 1193 2043 3037 3579 4637 9111 10737 13911 27333 41733 270811 689399 812433 1052599 2068197 2437299 3157797 3623141 5531941 6204591 9473391 10869423 14082569 16595823 32608269 42247707 49787469 126743121 822453007 1255750607 2467359021 3196743163 3767251821 7402077063 9590229489 11301755463 16800504817 28770688467 50401514451 151204543353 3813714593459 11441143780377 34323431341131