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21124344003444 = 223211314493832481
BaseRepresentation
bin1001100110110011001010…
…00001010011101101110100
32202210110121212001210002200
410303121211001103231310
510232100124031102234
6112532220100104500
74310116636250253
oct463314501235564
982713555053080
1021124344003444
116804869530140
122452058095130
13ba302b721c76
145305d090a79a
1526975cb29d99
hex133665053b74

21124344003444 has 144 divisors (see below), whose sum is σ = 60265012953600. Its totient is φ = 6181023744000.

The previous prime is 21124344003437. The next prime is 21124344003473. The reversal of 21124344003444 is 44430044342112.

21124344003444 is a `hidden beast` number, since 2 + 1 + 1 + 243 + 4 + 400 + 3 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×211243440034442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21124344003399 and 21124344003408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3595684 + ... + 7428164.

It is an arithmetic number, because the mean of its divisors is an integer number (418507034400).

Almost surely, 221124344003444 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 21124344003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132506476800).

21124344003444 is an abundant number, since it is smaller than the sum of its proper divisors (39140668950156).

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

21124344003444 is a wasteful number, since it uses less digits than its factorization.

21124344003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832982 (or 3832977 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21124344003444 its reverse (44430044342112), we get a palindrome (65554388345556).

The spelling of 21124344003444 in words is "twenty-one trillion, one hundred twenty-four billion, three hundred forty-four million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 449 558 682 898 1023 1116 1347 1364 1796 2046 2694 3069 4041 4092 4939 5388 6138 8082 9878 12276 13919 14817 16164 19756 27838 29634 41757 44451 55676 59268 83514 88902 125271 153109 167028 177804 250542 306218 459327 501084 612436 918654 1377981 1837308 2755962 3832481 5511924 7664962 11497443 15329924 22994886 34492329 42157291 45989772 68984658 84314582 118806911 126471873 137969316 168629164 237613822 252943746 356420733 379415619 475227644 505887492 712841466 758831238 1069262199 1306876021 1425682932 1517662476 1720783969 2138524398 2613752042 3441567938 3920628063 4277048796 5162351907 5227504084 6883135876 7841256126 10324703814 11761884189 15487055721 15682512252 18928623659 20649407628 23523768378 30974111442 37857247318 47047536756 53344303039 56785870977 61948222884 75714494636 106688606078 113571741954 160032909117 170357612931 213377212156 227143483908 320065818234 340715225862 480098727351 586787333429 640131636468 681430451724 960197454702 1173574666858 1760362000287 1920394909404 2347149333716 3520724000574 5281086000861 7041448001148 10562172001722 21124344003444