Search a number
-
+
13140440413023 = 37211171792670533
BaseRepresentation
bin1011111100110111111101…
…0010000111001101011111
31201112012202212220201010010
42333031333102013031133
53210243110221204043
643540345054014303
72524236235410600
oct277157722071537
951465685821103
1013140440413023
114206914051740
121582856aa7393
137441a486b521
14336001d37da7
1517bc2dda1133
hexbf37f48735f

13140440413023 has 96 divisors (see below), whose sum is σ = 23673322517760. Its totient is φ = 6388767114240.

The previous prime is 13140440412997. The next prime is 13140440413063. The reversal of 13140440413023 is 32031404404131.

It is not a de Polignac number, because 13140440413023 - 26 = 13140440412959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140440413063) 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 95 ways as a sum of consecutive naturals, for example, 3585265 + ... + 6255797.

It is an arithmetic number, because the mean of its divisors is an integer number (246597109560).

Almost surely, 213140440413023 is an apocalyptic number.

13140440413023 is a deficient number, since it is larger than the sum of its proper divisors (10532882104737).

13140440413023 is a wasteful number, since it uses less digits than its factorization.

13140440413023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670757 (or 2670750 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13140440413023 its reverse (32031404404131), we get a palindrome (45171844817154).

The spelling of 13140440413023 in words is "thirteen trillion, one hundred forty billion, four hundred forty million, four hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 11 17 21 33 49 51 77 119 147 179 187 231 357 537 539 561 833 1253 1309 1617 1969 2499 3043 3759 3927 5907 8771 9129 9163 13783 21301 26313 27489 33473 41349 63903 96481 100419 149107 234311 289443 447321 702933 1640177 2670533 4920531 8011599 18693731 29375863 45399061 56081193 88127589 130856117 136197183 205631041 317793427 392568351 478025407 499389671 616893123 953380281 1434076221 1439417287 1498169013 2224553989 3346177849 3495727697 4318251861 5258279477 6673661967 8126431919 10038533547 10487183091 15774838431 23423244943 24379295757 24470093879 36807956339 56885023433 70269734829 73410281637 89390751109 110423869017 170655070299 257655694373 268172253327 398195164031 625735257763 772967083119 1194585492093 1877205773289 4380146804341 13140440413023