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44128168344 = 233213192481341
BaseRepresentation
bin101001000110001111…
…100110100110011000
311012220100221012212100
4221012033212212120
51210333302341334
632134443443400
73121352146011
oct510617464630
9135810835770
1044128168344
1117795223017
128676526560
1342133cab20
1421c8966008
151234127c99
hexa463e6998

44128168344 has 96 divisors (see below), whose sum is σ = 135481273200. Its totient is φ = 12863266560.

The previous prime is 44128168309. The next prime is 44128168367. The reversal of 44128168344 is 44386182144.

44128168344 is a `hidden beast` number, since 441 + 2 + 8 + 168 + 3 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44128168344.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1222887 + ... + 1258454.

Almost surely, 244128168344 is an apocalyptic number.

It is an amenable number.

44128168344 is an abundant number, since it is smaller than the sum of its proper divisors (91353104856).

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

44128168344 is a wasteful number, since it uses less digits than its factorization.

44128168344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481385 (or 2481378 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 44128168344 in words is "forty-four billion, one hundred twenty-eight million, one hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 2481341 4962682 7444023 9925364 14888046 19850728 22332069 29776092 32257433 44664138 47145479 59552184 64514866 89328276 94290958 96772299 129029732 141436437 178656552 188581916 193544598 258059464 282872874 290316897 377163832 387089196 424309311 565745748 580633794 612891227 774178392 848618622 1131491496 1161267588 1225782454 1697237244 1838673681 2322535176 2451564908 3394474488 3677347362 4903129816 5516021043 7354694724 11032042086 14709389448 22064084172 44128168344