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21041424324 = 2233297279241
BaseRepresentation
bin10011100110001010…
…101010011111000100
32000022102011002212000
4103212022222133010
5321043101034244
613355530425300
71343266104264
oct234612523704
960272132760
1021041424324
118a18376588
1240b2892230
131ca4389a4b
1410387377a4
158323d1169
hex4e62aa7c4

21041424324 has 96 divisors (see below), whose sum is σ = 56516678400. Its totient is φ = 6761905920.

The previous prime is 21041424323. The next prime is 21041424367. The reversal of 21041424324 is 42342414012.

21041424324 is a `hidden beast` number, since 2 + 1 + 0 + 414 + 243 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21041424323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2272344 + ... + 2281584.

It is an arithmetic number, because the mean of its divisors is an integer number (588715400).

Almost surely, 221041424324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258339200).

21041424324 is an abundant number, since it is smaller than the sum of its proper divisors (35475254076).

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

21041424324 is a wasteful number, since it uses less digits than its factorization.

21041424324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21041424324 its reverse (42342414012), we get a palindrome (63383838336).

The spelling of 21041424324 in words is "twenty-one billion, forty-one million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 727 783 1044 1454 1566 2181 2908 3132 4362 6543 8724 9241 13086 18482 19629 21083 26172 27723 36964 39258 42166 55446 63249 78516 83169 84332 110892 126498 166338 189747 249507 252996 267989 332676 379494 499014 535978 569241 758988 803967 998028 1071956 1138482 1607934 2276964 2411901 3215868 4823802 6718207 7235703 9647604 13436414 14471406 20154621 26872828 28942812 40309242 60463863 80618484 120927726 181391589 194828003 241855452 362783178 389656006 584484009 725566356 779312012 1168968018 1753452027 2337936036 3506904054 5260356081 7013808108 10520712162 21041424324