Search a number
-
+
41313022443 = 32721161149937
BaseRepresentation
bin100110011110011100…
…101011000111101011
310221122011201222200100
4212132130223013223
51134102113204233
630551241240443
72661526616400
oct463634530753
9127564658610
1041313022443
1116580140260
12800b793123
133b850c9a14
141ddcb1c2a7
15111bdea813
hex99e72b1eb

41313022443 has 144 divisors (see below), whose sum is σ = 77568472800. Its totient is φ = 20945433600.

The previous prime is 41313022393. The next prime is 41313022451. The reversal of 41313022443 is 34422031314.

41313022443 is a `hidden beast` number, since 413 + 1 + 3 + 0 + 2 + 244 + 3 = 666.

It is not a de Polignac number, because 41313022443 - 28 = 41313022187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41313022493) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44090271 + ... + 44091207.

It is an arithmetic number, because the mean of its divisors is an integer number (538669950).

Almost surely, 241313022443 is an apocalyptic number.

41313022443 is a deficient number, since it is larger than the sum of its proper divisors (36255450357).

41313022443 is a wasteful number, since it uses less digits than its factorization.

41313022443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41313022443 its reverse (34422031314), we get a palindrome (75735053757).

It can be divided in two parts, 413 and 13022443, that added together give a triangular number (13022856 = T5103).

The spelling of 41313022443 in words is "forty-one billion, three hundred thirteen million, twenty-two thousand, four hundred forty-three".

Divisors: 1 3 7 9 11 21 33 49 61 63 77 99 147 149 183 231 427 441 447 539 549 671 693 937 1043 1281 1341 1617 1639 2013 2811 2989 3129 3843 4697 4851 4917 6039 6559 7301 8433 8967 9089 9387 10307 11473 14091 14751 19677 21903 26901 27267 30921 32879 34419 42273 45913 57157 59031 63623 65709 72149 80311 81801 92763 98637 99979 103257 137739 139613 171471 190869 216447 240933 295911 299937 400099 413217 418839 445361 505043 514413 572607 628727 649341 699853 722799 899811 977291 1200297 1256517 1336083 1515129 1535743 1886181 2099559 2800693 2931873 3600891 4008249 4401089 4545387 4607229 4898971 5658543 6298677 6841037 8402079 8516393 8795619 10750201 13203267 13821687 14696913 20523111 25206237 25549179 30807623 32250603 39609801 44090739 59614751 61569333 75251407 76647537 92422869 93680323 96751809 178844253 225754221 277268607 281040969 417303257 536532759 655762261 677262663 843122907 1251909771 1967286783 3755729313 4590335827 5901860349 13771007481 41313022443