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13244342034 = 23711238591451
BaseRepresentation
bin11000101010110110…
…01001111100010010
31021012000120021201110
430111123021330102
5204111022421114
610030120114150
7646131023040
oct142533117422
937160507643
1013244342034
1156870a4220
122697605956
131330bb2ca1
148d8db1390
15527b19759
hex3156c9f12

13244342034 has 128 divisors (see below), whose sum is σ = 34524610560. Its totient is φ = 3284424000.

The previous prime is 13244342003. The next prime is 13244342063. The reversal of 13244342034 is 43024344231.

It is a happy number.

13244342034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13244341992 and 13244342010.

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 63 ways as a sum of consecutive naturals, for example, 9127009 + ... + 9128459.

It is an arithmetic number, because the mean of its divisors is an integer number (269723520).

Almost surely, 213244342034 is an apocalyptic number.

13244342034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13244342034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262305280).

13244342034 is an abundant number, since it is smaller than the sum of its proper divisors (21280268526).

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

13244342034 is a wasteful number, since it uses less digits than its factorization.

13244342034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356.

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

Adding to 13244342034 its reverse (43024344231), we get a palindrome (56268686265).

The spelling of 13244342034 in words is "thirteen billion, two hundred forty-four million, three hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 859 966 1451 1518 1718 1771 2577 2902 3542 4353 5154 5313 6013 8706 9449 10157 10626 12026 15961 18039 18898 19757 20314 28347 30471 31922 33373 36078 39514 47883 56694 59271 60942 66143 66746 95766 100119 111727 118542 132286 138299 198429 200238 217327 223454 233611 276598 335181 367103 396858 414897 434654 467222 651981 670362 700833 734206 829794 1101309 1246409 1303962 1401666 1521289 2202618 2492818 2569721 3042578 3739227 4563867 5139442 7478454 7709163 8724863 9127734 13710499 15418326 17449726 26174589 27420998 28667407 41131497 52349178 57334814 82262994 86002221 95973493 172004442 191946986 200671849 287920479 315341477 401343698 575840958 602015547 630682954 946024431 1204031094 1892048862 2207390339 4414780678 6622171017 13244342034