105442012830825
105,442,012,830,825 is an odd composite number composed of eight prime numbers multiplied together.
105442012830825 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 105442012830825:
36 × 52 × 11 × 19 × 29 × 43 × 79 × 281
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 19 × 29 × 43 × 79 × 281)See below for interesting mathematical facts about the number 105442012830825 from the Numbermatics database.
Names of 105442012830825
- Cardinal: 105442012830825 can be written as One hundred five trillion, four hundred forty-two billion, twelve million, eight hundred thirty thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.05442012830825 × 1014
Factors of 105442012830825
Divisors of 105442012830825
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 3 5 9 11 15 19 25 27 29 33 43 45 55 57 75 79 81 87 95 99 129 135 145 165 171 209 215 225 237 243 261 275 281 285 297 319 387 395 405 435 473 475 495 513 551 627 645 675 711 725 729 783 817 825 843 855 869 891 957 1045 1075 1161 1185 1215 1247 1305 1405 1419 1425 1485 1501 1539 1595 1653 1881 1935 1975 2025 2133 2175 2291 2349 2365 2451 2475 2529 2565 2607 2673 2755 2871 3091 3135 3225 3397 3483 3555 3645 3741 3915 4085 4215 4257 4275 4345 4455 4503 4617 4785 4959 5225 5339 5643 5805 5925 6061 6075 6235 6399 6525 6873 7025 7047 7095 7353 7425 7505 7587 7695 7821 7975 8019 8149 8265 8613 8987 9273 9405 9675 10191 10449 10665 11223 11455 11745 11825 12083 12255 12645 12771 12825 13035 13365 13509 13717 13775 13851 14355 14877 15455 15675 16017 16511 16929 16985 17415 17775 18183 18225 18705 19197 19575 20425 20619 21075 21141 21285 21725 22059 22199 22275 22515 22761 23085 23463 23693 23925 24447 24795 25201 25839 26695 26961 27819 28215 29025 30305 30573 31175 31347 31995 33669 34365 35235 35475 36249 36765 37367 37525 37935 38313 38475 39105 40095 40527 40745 41151 41325 43065 43529 44631 44935 46365 47025 48051 49533 50787 50955 52245 53325 54549 56115 57275 57591 58725 58729 60415 61275 61857 63225 63855 64543 65175 66177 66597 66825 67545 68283 68585 69255 70389 71079 71775 73341 74385 75603 77275 77517 80085 80883 82555 83457 84645 84925 87075 89639 90915 91719 93525 95985 98513 101007 103095 105705 106425 108747 110295 110995 112101 112575 113805 114939 115425 117315 118465 121581 122235 123453 123975 126005 129195 130587 132913 133475 133893 134805 139095 141075 144153 148599 151525 152361 152865 154831 156735 159975 163647 168345 171825 176175 176187 181245 183825 185571 186835 189675 191565 193629 195525 198531 199791 200475 202635 203725 204849 205755 211167 213237 215325 217645 220023 223155 224675 226809 229577 231825 232551 240255 242649 244189 247665 250371 253935 254775 260623 261225 268917 272745 275157 280575 287955 293645 295539 302075 303021 309285 319275 322715 326241 330885 332985 336303 337725 341415 342925 344817 346275 350407 351945 355395 364743 366705 370359 371925 378015 387585 391761 398739 400425 401679 404415 412775 417285 421781 423225 432459 445797 448195 454575 458595 464493 478819 479925 490941 492565 505035 515475 528525 528561 543735 551475 554975 556713 560505 569025 574695 580887 586575 592325 595593 599373 607905 611175 617265 630025 633501 639711 643771 645975 652935 660069 664565 669465 674025 680427 688731 695475 709973 720765 727947 732567 742995 751113 761805 764325 774155 781869 783675 806751 818235 825471 841725 880935 886617 906225 909063 927855 934175 954557 957825 968145 978723 992655 998955 1008909 1013175 1024245 1028775 1051221 1055835 1066185 1083643 1088225 1094229 1100115 1111077 1115775 1134045 1147885 1162755 1175283 1196217 1201275 1213245 1220945 1238325 1251855 1265343 1269675 1297377 1303115 1337391 1344585 1363725 1375785 1393479 1436457 1439775 1468225 1472823 1477695 1515105 1546425 1585683 1613575 1631205 1654425 1664925 1670139 1681515 1703141 1707075 1724085 1742661 1752035 1759725 1776975 1798119 1823715 1833525 1851795 1871747 1890075 1919133 1931313 1937925 1958805 1980207 1993695 2008395 2022075 2041281 2066193 2086425 2108905 2129919 2162295 2183841 2197701 2228985 2240975 2253339 2292975 2322465 2345607 2394095 2420253 2454705 2462825 2476413 2525175 2525347 2642805 2659851 2718675 2783565 2802525 2863671 2873475 2904435 2936169 2977965 2996865 3026727 3039525 3086325 3153663 3167505 3198555 3218855 3250929 3264675 3300345 3322825 3333231 3347325 3402135 3443655 3525849 3549865 3588651 3603825 3639735 3662835 3714975 3755565 3796029 3809025 3854477 3870775 3892131 3909345 4012173 4033755 4091175 4127355 4180437 4309371 4404675 4418469 4433085 4545315 4639275 4639591 4757049 4772785 4840725 4893615 4963275 4994775 5044545 5109423 5121225 5227983 5256105 5279175 5330925 5394357 5418215 5471145 5500575 5555385 5615241 5670225 5739425 5757399 5793939 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789975747 793316025 807446475 816146235 836808165 850510287 854106525 862617195 867257325 890068905 898793955 913511049 917373675 926514765 936637911 940598325 949970835 955999935 969608475 990763569 997512065 1022765535 1043907975 1070336025 1098525945 1127420613 1149620175 1159786755 1176296175 1210933251 1241589789 1245696885 1263429225 1277233515 1303636275 1316626245 1360243725 1364503563 1394680275 1417517145 1437695325 1469063223 1483448175 1497989925 1522518415 1537391745 1544191275 1561063185 1577882721 1583284725 1593333225 1617829119 1633670775 1651272615 1667726577 1704609225 1720799883 1745295255 1795399425 1795521717 1830876575 1840977963 1879034355 1932977925 1977346701 2018222085 2069316315 2076161475 2128722525 2194377075 2242254393 2274172605 2346545295 2362528575 2422339425 2448438705 2551530861 2562319575 2587851585 2601771975 2629804535 2696381865 2740533147 2752121025 2779544295 2809913733 2821794975 2867999805 2908825425 2972290707 2992536195 3068296605 3131723925 3295577835 3363703475 3382261839 3448860525 3479360265 3632799753 3737090655 3790287675 3910908825 3949878735 4080731175 4184040825 4252551435 4313085975 4407189669 4450344525 4493969775 4567555245 4632573825 4683189555 4733648163 4749854175 4779999675 4853487357 4953817845 4987560325 5003179731 5113827675 5162399649 5386565151 5492629725 5637103065 5785569977 5798933775 5932040103 6054666255 6207948945 6228484425 6386167575 6583131225 6726763179 6822517815 7087585725 7345316115 7612592075 7654592583 7686958725 7805315925 7889413605 8089145595 8221599441 8256363075 8338632885 8603999415 8726476275 8916872121 8977608585 9204889815 9395171775 9886733505 10091110425 10346581575 10898399259 11211271965 11370863025 11732726475 12242193525 12757654305 12939257925 13149022675 13221569007 13481909325 13702665735 13897721475 14049568665 14200944489 14339999025 14861453535 14962680975 15009539193 15341483025 16159695453 16477889175 16911309195 17356709931 17396801325 17796120309 18163998765 18685453275 19749393675 20180289537 21262757175 22035948345 22837776225 23415947775 23668240815 24267436785 24664798323 24769089225 25015898655 25811998245 26932825755 28185515325 28927849885 29660200515 30273331275 31039744725 32695197777 33633815895 34112589075 36726580575 38272962915 39447068025 40445727975 41107997205 41693164425 42602833467 43019997075 44584360605 44888042925 46024449075 48479086359 49433667525 52070129793 53388360927 54491996295 56056359825 63788271525 66107845035 68513328675 70247843325 71004722445 73994394969 74307267675 75047695965 80798477265 84556545975 86783549655 88980601545 90819993825 98085593331 100901447685 110179741725 118341204075 121337183925 123323991615 125079493275 127808500401 129059991225 134664128775 144639249425 145437259077 148301002575 156210389379 163475988885 168169079475 191364814575 205539986025 213014167335 221983184907 222921803025 242395431795 260350648965 266941804635 272459981475 330539225175 355023612225 369971974845 375238479825 383425501203 403992386325 433917748275 444903007725 468631168137 490427966655 504507238425 616619958075 639042502005 727186295385 781051946895 817379944425 1065070836675 1109915924535 1211977158975 1301753244825 1334709023175 1405893504411 1849859874225 1917127506015 2343155840685 2452139833275 3195212510025 3635931476925 3905259734475 4217680513233 5549579622675 7029467522055 9585637530075 11715779203425 21088402566165 35147337610275 105442012830825
- Sum of all divisors σ(n): 242162072064000
- Sum of proper divisors (its aliquot sum) s(n): 136720059233175
- 105442012830825 is an abundant number, because the sum of its proper divisors (136720059233175) is greater than itself. Its abundance is 31278046402350
Bases of 105442012830825
- Binary: 101111111100110001000011011100000011100011010012
- Hexadecimal: 0x5FE621B81C69
- Base-36: 11DJE409K9
Squares and roots of 105442012830825
- 105442012830825 squared (1054420128308252) is 11118018069815863930070180625
- 105442012830825 cubed (1054420128308253) is 1172306203970868525159592296003975317765625
-
The
square root of 105442012830825 is 10268496.1328728659 -
The
cube root of 105442012830825 is 47243.0465332177
Scales and comparisons
How big is 105442012830825?- 105,442,012,830,825 seconds is equal to 3,352,729 years, 44 weeks, 3 days, 33 minutes, 45 seconds.
-
To count from 1 to 105,442,012,830,825 would take you about eight million, three hundred eighty-one thousand, eight hundred twenty-four 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 105442012830825 cubic inches would be around 3936.9 feet tall.
Recreational maths with 105442012830825
- 105442012830825 backwards is 528038210244501
- 105442012830825 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 105442012830825's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 105442012830825 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/105442012830825/
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The information we have on file for 105442012830825 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 105442012830825, math, Factors of 105442012830825, curriculum, school, college, exams, university, Prime factorization of 105442012830825, STEM, science, technology, engineering, physics, economics, calculator, one hundred five trillion, four hundred forty-two billion, twelve million, eight hundred thirty thousand, eight hundred twenty-five.