Search a number
-
+
44404424020404 = 223576526223401
BaseRepresentation
bin10100001100010101101011…
…11010111001000110110100
312211020000120122202121100000
422012022311322321012310
521310010230022123104
6234235035532351300
712232054010361420
oct1206126572710664
9184200518677300
1044404424020404
111316a8a0814048
124b91a5b915530
131ba141c424886
14ad7285389b80
155200daba1639
hex2862b5eb91b4

44404424020404 has 72 divisors (see below), whose sum is σ = 133030537826368. Its totient is φ = 12686978289600.

The previous prime is 44404424020361. The next prime is 44404424020427. The reversal of 44404424020404 is 40402042440444.

44404424020404 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 4 + 4 + 240 + 2 + 0 + 404 = 666.

44404424020404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3263104897 + ... + 3263118504.

Almost surely, 244404424020404 is an apocalyptic number.

It is an amenable number.

44404424020404 is an abundant number, since it is smaller than the sum of its proper divisors (88626113805964).

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

44404424020404 is a wasteful number, since it uses less digits than its factorization.

44404424020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526223427 (or 6526223413 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44404424020404 its reverse (40402042440444), we get a palindrome (84806466460848).

The spelling of 44404424020404 in words is "forty-four trillion, four hundred four billion, four hundred twenty-four million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 6526223401 13052446802 19578670203 26104893604 39157340406 45683563807 58736010609 78314680812 91367127614 117472021218 137050691421 176208031827 182734255228 234944042436 274101382842 352416063654 411152074263 528624095481 548202765684 704832127308 822304148526 1057248190962 1233456222789 1585872286443 1644608297052 2114496381924 2466912445578 3171744572886 3700368668367 4933824891156 6343489145772 7400737336734 11101106005101 14801474673468 22202212010202 44404424020404