Search a number
-
+
41340121113213 = 321317294311662883
BaseRepresentation
bin10010110011001001111110…
…01110111110001001111101
312102101002002010020012010200
421121210333032332021331
520404304032001110323
6223531220042354113
711464503511414566
oct1131447716761175
9172332063205120
1041340121113213
11121992796a746a
124777baaabb939
131a0b48386ac80
14a2cc3035b16d
154ba54109e443
hex25993f3be27d

41340121113213 has 96 divisors (see below), whose sum is σ = 70600999472640. Its totient is φ = 23064306370560.

The previous prime is 41340121113191. The next prime is 41340121113223. The reversal of 41340121113213 is 31231112104314.

41340121113213 is a `hidden beast` number, since 4 + 1 + 3 + 401 + 211 + 1 + 32 + 13 = 666.

It is not a de Polignac number, because 41340121113213 - 26 = 41340121113149 is a prime.

It is a super-3 number, since 3×413401211132133 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41340121113223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24029070 + ... + 25691952.

It is an arithmetic number, because the mean of its divisors is an integer number (735427077840).

Almost surely, 241340121113213 is an apocalyptic number.

It is an amenable number.

41340121113213 is a deficient number, since it is larger than the sum of its proper divisors (29260878359427).

41340121113213 is a wasteful number, since it uses less digits than its factorization.

41340121113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663379 (or 1663376 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 41340121113213 its reverse (31231112104314), we get a palindrome (72571233217527).

The spelling of 41340121113213 in words is "forty-one trillion, three hundred forty billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 261 377 431 493 663 1131 1293 1479 1989 3393 3879 4437 5603 6409 7327 12499 16809 19227 21981 37497 50427 57681 65943 95251 112491 162487 212483 285753 487461 637449 857259 1462383 1662883 1912347 2762279 4988649 8286837 14965947 21617479 24860511 28269011 48223607 64852437 84807033 144670821 194557311 254421099 367497143 434012463 626906891 716702573 819801319 1102491429 1880720673 2150107719 2459403957 3307474287 5642162019 6450323157 7378211871 9317133449 10657417147 12183943741 20784374617 27951400347 31972251441 36551831223 62353123851 83854201041 95916754323 109655493669 158391268633 187059371553 270196870021 353334368489 475173805899 810590610063 1060003105467 1425521417697 2431771830189 3180009316401 4593346790357 13780040371071 41340121113213