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43442430444 = 22327318962483
BaseRepresentation
bin101000011101010111…
…101110000111101100
311011010120121010022100
4220131113232013230
51202432230233234
631542430015100
73065354365110
oct503527560754
9134116533270
1043442430444
1117473134a86
128504947490
13413431325a
142161861740
1511e3d21399
hexa1d5ee1ec

43442430444 has 144 divisors (see below), whose sum is σ = 131006453760. Its totient is φ = 11876578560.

The previous prime is 43442430419. The next prime is 43442430463. The reversal of 43442430444 is 44403424434.

43442430444 is a `hidden beast` number, since 4 + 344 + 2 + 4 + 304 + 4 + 4 = 666.

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 = 43442430399 and 43442430408.

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, 664027 + ... + 726509.

It is an arithmetic number, because the mean of its divisors is an integer number (909767040).

Almost surely, 243442430444 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 43442430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503226880).

43442430444 is an abundant number, since it is smaller than the sum of its proper divisors (87564023316).

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

43442430444 is a wasteful number, since it uses less digits than its factorization.

43442430444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62620 (or 62615 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 43442430444 its reverse (44403424434), we get a palindrome (87845854878).

The spelling of 43442430444 in words is "forty-three billion, four hundred forty-two million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 89 93 124 126 178 186 217 252 267 279 356 372 434 534 558 623 651 801 868 1068 1116 1246 1302 1602 1869 1953 2492 2604 2759 3204 3738 3906 5518 5607 7476 7812 8277 11036 11214 16554 19313 22428 24831 33108 38626 49662 57939 62483 77252 99324 115878 124966 173817 187449 231756 249932 347634 374898 437381 562347 695268 749796 874762 1124694 1312143 1749524 1936973 2249388 2624286 3873946 3936429 5248572 5560987 5810919 7747892 7872858 11121974 11621838 13558811 15745716 16682961 17432757 22243948 23243676 27117622 33365922 34865514 38926909 40676433 50048883 54235244 66731844 69731028 77853818 81352866 100097766 116780727 122029299 155707636 162705732 172390597 200195532 233561454 244058598 344781194 350342181 467122908 488117196 517171791 689562388 700684362 1034343582 1206734179 1401368724 1551515373 2068687164 2413468358 3103030746 3620202537 4826936716 6206061492 7240405074 10860607611 14480810148 21721215222 43442430444