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21044143224 = 23331318234111
BaseRepresentation
bin10011100110010101…
…000010010001111000
32000022121021020111000
4103212111002101320
5321044300040344
613400105005000
71343331160146
oct234625022170
960277236430
1021044143224
118a19963305
1240b3783760
131ca4acc470
141038c44596
1583276ba69
hex4e6542478

21044143224 has 128 divisors (see below), whose sum is σ = 63002419200. Its totient is φ = 6469994880.

The previous prime is 21044143213. The next prime is 21044143247. The reversal of 21044143224 is 42234144012.

21044143224 is a `hidden beast` number, since 21 + 0 + 4 + 414 + 3 + 224 = 666.

It is a super-2 number, since 2×210441432242 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116929 + ... + 5121039.

It is an arithmetic number, because the mean of its divisors is an integer number (492206400).

Almost surely, 221044143224 is an apocalyptic number.

21044143224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21044143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31501209600).

21044143224 is an abundant number, since it is smaller than the sum of its proper divisors (41958275976).

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

21044143224 is a wasteful number, since it uses less digits than its factorization.

21044143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5952 counting only the distinct ones).

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

Adding to 21044143224 its reverse (42234144012), we get a palindrome (63278287236).

The spelling of 21044143224 in words is "twenty-one billion, forty-four million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1823 2808 3646 4111 5469 7292 8222 10938 12333 14584 16407 16444 21876 23699 24666 32814 32888 36999 43752 47398 49221 49332 53443 65628 71097 73998 94796 98442 98664 106886 110997 131256 142194 147996 160329 189592 196884 213291 213772 221994 284388 295992 320658 393768 426582 427544 443988 480987 568776 639873 641316 853164 887976 961974 1279746 1282632 1442961 1706328 1923948 2559492 2885922 3847896 5118984 5771844 7494353 11543688 14988706 22483059 29977412 44966118 59954824 67449177 89932236 97426589 134898354 179864472 194853178 202347531 269796708 292279767 389706356 404695062 539593416 584559534 779412712 809390124 876839301 1169119068 1618780248 1753678602 2338238136 2630517903 3507357204 5261035806 7014714408 10522071612 21044143224