82123822144
82,123,822,144 is an even composite number composed of six prime numbers multiplied together.
82123822144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 82123822144:
26 × 7 × 132 × 29 × 113 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 29 × 113 × 331)See below for interesting mathematical facts about the number 82123822144 from the Numbermatics database.
Names of 82123822144
- Cardinal: 82123822144 can be written as Eighty-two billion, one hundred twenty-three million, eight hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.2123822144 × 1010
Factors of 82123822144
Divisors of 82123822144
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 113 116 169 182 203 208 224 226 232 331 338 364 377 406 416 448 452 464 662 676 728 754 791 812 832 904 928 1183 1324 1352 1456 1469 1508 1582 1624 1808 1856 2317 2366 2639 2648 2704 2912 2938 3016 3164 3248 3277 3616 4303 4634 4732 4901 5278 5296 5408 5824 5876 6032 6328 6496 6554 7232 8606 9268 9464 9599 9802 10283 10556 10592 10816 11752 12064 12656 12992 13108 17212 18536 18928 19097 19198 19604 20566 21112 21184 22939 23504 24128 25312 26216 30121 34307 34424 37072 37403 37856 38194 38396 39208 41132 42224 42601 45878 47008 50624 52432 55939 60242 67193 68614 68848 74144 74806 75712 76388 76792 78416 82264 84448 85202 91756 94016 104864 111878 120484 124787 133679 134386 137228 137696 148288 149612 152776 153584 156832 164528 168896 170404 183512 209728 223756 240968 249574 261821 267358 268772 274456 275392 298207 299224 305552 307168 313664 329056 340808 367024 391573 447512 481936 486239 499148 523642 534716 537544 548912 553813 596414 598448 611104 614336 658112 681616 734048 783146 873509 895024 963872 972478 998296 1047284 1069432 1075088 1084687 1097824 1107626 1192828 1196896 1222208 1363232 1468096 1566292 1622231 1747018 1790048 1927744 1944956 1996592 2094568 2138864 2150176 2169374 2195648 2215252 2385656 2393792 2726464 3132584 3244462 3403673 3494036 3580096 3876691 3889912 3993184 4189136 4277728 4300352 4338748 4430504 4771312 6265168 6321107 6488924 6807346 6988072 7592809 7753382 7779824 7986368 8378272 8555456 8677496 8861008 9542624 11355617 12530336 12642214 12977848 13614692 13976144 14100931 15185618 15506764 15559648 16756544 17354992 17722016 19085248 22711234 25060672 25284428 25955696 27229384 27952288 28201862 30371236 31013528 31119296 34709984 35444032 44247749 45422468 50568856 51911392 54458768 55904576 56403724 60742472 62027056 69419968 88495498 90844936 98706517 101137712 103822784 108917536 112807448 121484944 124054112 176990996 181689872 183312103 197413034 202275424 217835072 225614896 242969888 248108224 353981992 363379744 366624206 394826068 404550848 451229792 485939776 707963984 726759488 733248412 789652136 902459584 1283184721 1415927968 1466496824 1579304272 2566369442 2831855936 2932993648 3158608544 5132738884 5865987296 6317217088 10265477768 11731974592 20530955536 41061911072 82123822144
- Sum of all divisors σ(n): 211110088320
- Sum of proper divisors (its aliquot sum) s(n): 128986266176
- 82123822144 is an abundant number, because the sum of its proper divisors (128986266176) is greater than itself. Its abundance is 46862444032
Bases of 82123822144
- Binary: 10011000111101111011000010100010000002
- Hexadecimal: 0x131EF61440
- Base-36: 11Q6EIPS
Squares and roots of 82123822144
- 82123822144 squared (821238221442) is 6744322163539344756736
- 82123822144 cubed (821238221443) is 553869513840342430348486209961984
-
The
square root of 82123822144 is 286572.5425507475 -
The
cube root of 82123822144 is 4346.6671462147
Scales and comparisons
How big is 82123822144?- 82,123,822,144 seconds is equal to 2,611 years, 14 weeks, 5 days, 4 hours, 49 minutes, 4 seconds.
-
To count from 1 to 82,123,822,144 would take you about five thousand, two hundred twenty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 82123822144 cubic inches would be around 362.2 feet tall.
Recreational maths with 82123822144
- 82123822144 backwards is 44122832128
- The number of decimal digits it has is: 11
- The sum of 82123822144's digits is 37
- More coming soon!
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