985128144
985,128,144 is an even composite number composed of seven prime numbers multiplied together.
985128144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 985128144:
24 × 3 × 72 × 11 × 13 × 29 × 101
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 29 × 101)See below for interesting mathematical facts about the number 985128144 from the Numbermatics database.
Names of 985128144
- Cardinal: 985128144 can be written as Nine hundred eighty-five million, one hundred twenty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.85128144 × 108
Factors of 985128144
Divisors of 985128144
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 29 33 39 42 44 48 49 52 56 58 66 77 78 84 87 88 91 98 101 104 112 116 132 143 147 154 156 168 174 176 182 196 202 203 208 231 232 264 273 286 294 303 308 312 319 336 348 364 377 392 404 406 429 462 464 528 539 546 572 588 606 609 616 624 637 638 696 707 728 754 784 808 812 858 924 957 1001 1078 1092 1111 1131 1144 1176 1212 1218 1232 1274 1276 1313 1392 1414 1421 1456 1508 1616 1617 1624 1716 1848 1911 1914 2002 2121 2156 2184 2222 2233 2262 2288 2352 2424 2436 2548 2552 2626 2639 2828 2842 2929 3003 3016 3234 3248 3333 3432 3696 3822 3828 3939 4004 4147 4242 4263 4312 4368 4444 4466 4524 4848 4872 4949 5096 5104 5252 5278 5656 5684 5858 6006 6032 6468 6666 6699 6864 7007 7644 7656 7777 7878 7917 8008 8294 8484 8526 8624 8787 8888 8932 9048 9191 9744 9898 10192 10504 10556 11312 11368 11716 12012 12441 12936 13332 13398 14014 14443 14847 15288 15312 15554 15631 15756 15834 16016 16588 16968 17052 17574 17776 17864 18096 18382 18473 19796 20503 21008 21021 21112 22736 23331 23432 24024 24882 25872 26664 26796 27573 28028 28886 29029 29694 30576 31108 31262 31512 31668 32219 33176 33936 34104 35148 35728 36764 36946 38077 39592 41006 42042 42224 43329 46662 46864 46893 48048 49764 53328 53592 54439 55146 55419 56056 57772 58058 59388 61509 62216 62524 63024 63336 64337 64438 66352 68208 70296 73528 73892 76154 79184 82012 84084 86658 87087 93324 93786 96657 99528 101101 107184 108878 110292 110838 112112 114231 115544 116116 118776 123018 124432 125048 126672 128674 128876 140592 143521 147056 147784 152308 163317 164024 168168 173316 174174 186648 187572 193011 193314 199056 202202 203203 217756 220584 221676 225533 228462 231088 232232 237552 246036 250096 257348 257752 266539 287042 295568 303303 304616 326634 328048 336336 346632 348348 373296 375144 386022 386628 404404 406406 418847 430563 435512 441168 443352 451066 456924 464464 492072 514696 515504 533078 574084 606606 609232 609609 653268 676599 693264 696696 707707 750288 772044 773256 799617 808808 812812 837694 861126 871024 886704 902132 913848 984144 1029392 1066156 1148168 1213212 1219218 1256541 1306536 1353198 1393392 1415414 1544088 1546512 1578731 1599234 1617616 1625624 1675388 1722252 1804264 1827696 1865773 2123121 2132312 2296336 2426424 2438436 2513082 2613072 2706396 2830828 2931929 3088176 3157462 3198468 3251248 3350776 3444504 3608528 3731546 4246242 4264624 4736193 4852848 4876872 5026164 5412792 5597319 5661656 5863858 6314924 6396936 6701552 6889008 7463092 8492484 8795787 9472386 9753744 10052328 10825584 11194638 11323312 11727716 12629848 12793872 14926184 16984968 17591574 18944772 20104656 20523503 22389276 23455432 25259696 29852368 33969936 35183148 37889544 41047006 44778552 46910864 61570509 70366296 75779088 82094012 89557104 123141018 140732592 164188024 246282036 328376048 492564072 985128144
- Sum of all divisors σ(n): 3633517440
- Sum of proper divisors (its aliquot sum) s(n): 2648389296
- 985128144 is an abundant number, because the sum of its proper divisors (2648389296) is greater than itself. Its abundance is 1663261152
Bases of 985128144
- Binary: 1110101011011111011100110100002
- Hexadecimal: 0x3AB7DCD0
- Base-36: GAIPQO
Squares and roots of 985128144
- 985128144 squared (9851281442) is 970477460100884736
- 985128144 cubed (9851281443) is 956044659063018632733609984
-
The
square root of 985128144 is 31386.7510902291 -
The
cube root of 985128144 is 995.0179349141
Scales and comparisons
How big is 985128144?- 985,128,144 seconds is equal to 31 years, 16 weeks, 5 days, 22 hours, 42 minutes, 24 seconds.
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To count from 1 to 985,128,144 would take you about forty-six 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 985128144 cubic inches would be around 82.9 feet tall.
Recreational maths with 985128144
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