Search a number
-
+
11412414321 = 37112311319009
BaseRepresentation
bin10101010000011101…
…11001111101110001
31002110100110201022220
422220032321331301
5141333034224241
65124235351253
7552544630650
oct125016717561
932410421286
1011412414321
114927012880
122265bb2529
1310cb4c46a9
147a3987197
1546bda6166
hex2a83b9f71

11412414321 has 64 divisors (see below), whose sum is σ = 19972362240. Its totient is φ = 5620285440.

The previous prime is 11412414287. The next prime is 11412414359. The reversal of 11412414321 is 12341421411.

It is a happy number.

It is not a de Polignac number, because 11412414321 - 215 = 11412381553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11412414291 and 11412414300.

It is not an unprimeable number, because it can be changed into a prime (11412414361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590865 + ... + 609873.

It is an arithmetic number, because the mean of its divisors is an integer number (312068160).

Almost surely, 211412414321 is an apocalyptic number.

11412414321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11412414321 is a deficient number, since it is larger than the sum of its proper divisors (8559947919).

11412414321 is a wasteful number, since it uses less digits than its factorization.

11412414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166.

The product of its digits is 768, while the sum is 24.

Adding to 11412414321 its reverse (12341421411), we get a palindrome (23753835732).

The spelling of 11412414321 in words is "eleven billion, four hundred twelve million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 23 33 69 77 113 161 231 253 339 483 759 791 1243 1771 2373 2599 3729 5313 7797 8701 18193 19009 26103 28589 54579 57027 85767 133063 200123 209099 399189 437207 600369 627297 1311621 1463693 2148017 3060449 4391079 4809277 6444051 9181347 14427831 15036119 23628187 33664939 45108357 49404391 70884561 100994817 148213173 165397309 345830737 496191927 543448301 1037492211 1630344903 3804138107 11412414321