42628516998144
42,628,516,998,144 is an even composite number composed of seven prime numbers multiplied together.
42628516998144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 42628516998144:
210 × 3 × 72 × 11 × 232 × 41 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 23 × 23 × 41 × 1187)See below for interesting mathematical facts about the number 42628516998144 from the Numbermatics database.
Names of 42628516998144
- Cardinal: 42628516998144 can be written as Forty-two trillion, six hundred twenty-eight billion, five hundred sixteen million, nine hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2628516998144 × 1013
Factors of 42628516998144
Divisors of 42628516998144
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 41 42 44 46 48 49 56 64 66 69 77 82 84 88 92 96 98 112 123 128 132 138 147 154 161 164 168 176 184 192 196 224 231 246 253 256 264 276 287 294 308 322 328 336 352 368 384 392 448 451 462 483 492 506 512 528 529 539 552 574 588 616 644 656 672 704 736 759 768 784 861 896 902 924 943 966 984 1012 1024 1056 1058 1078 1104 1127 1148 1176 1187 1232 1288 1312 1344 1353 1408 1472 1518 1536 1568 1587 1617 1722 1771 1792 1804 1848 1886 1932 1968 2009 2024 2112 2116 2156 2208 2254 2296 2352 2374 2464 2576 2624 2688 2706 2816 2829 2944 3036 3072 3136 3157 3174 3234 3381 3444 3542 3561 3584 3608 3696 3703 3772 3864 3936 4018 4048 4224 4232 4312 4416 4508 4592 4704 4748 4928 5152 5248 5313 5376 5412 5632 5658 5819 5888 6027 6072 6272 6314 6348 6468 6601 6762 6888 7084 7122 7168 7216 7392 7406 7544 7728 7872 8036 8096 8309 8448 8464 8624 8832 9016 9184 9408 9471 9496 9856 10304 10373 10496 10626 10752 10824 11109 11264 11316 11638 11776 12054 12144 12397 12544 12628 12696 12936 13057 13202 13524 13776 14168 14244 14432 14784 14812 15088 15456 15744 16072 16192 16618 16896 16928 17248 17457 17664 18032 18368 18816 18942 18992 19712 19803 20608 20746 20992 21252 21504 21648 21689 22099 22218 22632 23276 23552 24108 24288 24794 24927 25088 25256 25392 25872 25921 26114 26404 27048 27301 27552 28336 28488 28864 29568 29624 30176 30912 31119 31488 32144 32384 33236 33792 33856 34496 34914 35328 36064 36736 37191 37632 37884 37984 39171 39424 39606 40733 41216 41492 41984 42504 43296 43378 44198 44436 45264 46207 46552 48216 48576 48667 49588 49854 50176 50512 50784 51744 51842 52228 52808 54096 54602 55104 56672 56976 57728 58163 59136 59248 60352 61824 62238 62976 64288 64768 65067 66297 66472 67712 68992 69828 70656 72128 72611 73472 74382 75264 75768 75968 77763 78342 78848 79212 81466 81903 82432 82984 85008 86592 86756 88396 88872 90528 91399 92414 93104 96432 97152 97334 99176 99708 101024 101568 103488 103684 104456 105616 108192 109204 110208 113344 113952 115456 116326 118272 118496 120704 122199 123648 124476 125952 128576 129536 130134 132594 132944 135424 137984 138621 139656 144256 145222 146001 146944 148764 150528 151536 151823 151936 155526 156684 158424 162932 163806 164864 165968 170016 173184 173512 174489 176792 177744 181056 182798 184828 186208 191107 192864 194304 194668 198352 199416 202048 203136 206976 207368 208912 211232 216384 217833 218408 220416 226688 227904 230912 232652 236544 236992 238579 241408 244398 247296 248952 257152 259072 260268 265188 265888 270848 274197 275968 277242 279312 285131 288512 290444 292002 293888 297528 300311 303072 303646 303872 311052 313368 316848 325864 327612 331936 340032 340669 346368 347024 348978 353584 355488 362112 365596 369656 372416 382214 385728 388608 389336 396704 398832 404096 406272 413952 414736 417824 422464 432768 435666 436816 440832 453376 455469 455808 461824 465304 473984 477158 482816 488796 494592 497904 508277 514304 520536 530376 531776 535337 541696 548394 551936 554484 558624 570262 573321 577024 580888 584004 595056 600622 606144 607292 607744 622104 626736 627923 633696 639793 651728 655224 663872 680064 681338 692736 694048 697956 707168 710976 715737 724224 731192 739312 744832 764428 771456 777216 778672 793408 797664 808192 812544 827904 829472 835648 844928 855393 865536 871332 873632 881664 900933 906752 910938 911616 930608 947968 954316 965632 977592 995808 1016554 1022007 1028608 1041072 1060752 1062761 1063552 1070674 1096788 1108968 1117248 1119341 1140524 1146642 1154048 1161776 1168008 1190112 1201244 1212288 1214584 1215488 1244208 1253472 1255846 1267392 1279586 1303456 1310448 1327744 1337749 1360128 1362676 1385472 1388096 1395912 1414336 1421952 1431474 1448448 1462384 1478624 1489664 1524831 1528856 1542912 1557344 1586816 1595328 1606011 1616384 1625088 1655808 1658944 1670053 1671296 1689856 1710786 1731072 1742664 1747264 1801866 1813504 1821876 1823232 1861216 1883769 1895936 1908632 1919379 1955184 1991616 2033108 2044014 2057216 2082144 2102177 2121504 2125522 2127104 2141348 2193576 2217936 2234496 2238682 2281048 2293284 2323552 2336016 2380224 2384683 2402488 2424576 2429168 2488416 2506944 2511692 2534784 2559172 2606912 2620896 2655488 2675498 2720256 2725352 2776192 2791824 2828672 2843904 2862948 2896896 2924768 2957248 2979328 3049662 3057712 3085824 3114688 3173632 3188283 3190656 3212022 3232768 3317888 3340106 3342592 3358023 3379712 3421572 3462144 3485328 3494528 3603732 3643752 3646464 3722432 3747359 3767538 3791872 3817264 3838758 3910368 3983232 4013247 4066216 4088028 4164288 4204354 4243008 4251044 4254208 4282696 4387152 4395461 4435872 4468992 4477364 4562096 4586568 4647104 4672032 4760448 4769366 4804976 4849152 4858336 4976832 5010159 5013888 5023384 5069568 5118344 5213824 5241792 5310976 5350996 5440512 5450704 5552384 5583648 5657344 5687808 5725896 5849536 5914496 5958656 6099324 6115424 6171648 6229376 6306531 6347264 6376566 6381312 6424044 6635776 6680212 6685184 6716046 6759424 6843144 6907153 6970656 6989056 7154049 7207464 7287504 7444864 7494718 7535076 7634528 7677516 7820736 7835387 7966464 8026494 8132432 8176056 8328576 8408708 8486016 8502088 8508416 8565392 8774304 8790922 8871744 8937984 8954728 9124192 9173136 9294208 9344064 9520896 9538732 9609952 9698304 9716672 9953664 10020318 10027776 10046768 10139136 10236688 10427648 10483584 10621952 10701992 10901408 11104768 11167296 11242077 11314688 11375616 11451792 11690371 11699072 11828992 12198648 12230848 12312751 12458752 12613062 12694528 12753132 12762624 12848088 13186383 13271552 13360424 13370368 13432092 13686288 13814306 13941312 13978112 14308098 14414928 14575008 14715239 14889728 14989436 15070152 15269056 15355032 15641472 15670774 15932928 16052988 16264864 16352112 16657152 16817416 16972032 17004176 17130784 17548608 17581844 17743488 17875968 17909456 18248384 18346272 18588416 18688128 19041792 19077464 19219904 19433344 19907328 20040636 20055552 20093536 20278272 20473376 20721459 20855296 20967168 21403984 21802816 22209536 22334592 22484154 22629376 22903584 23380742 23398144 23506161 23657984 24397296 24461696 24625502 24917504 25226124 25506264 25525248 25696176 25744843 26231513 26372766 26543104 26720848 26864184 27372576 27628612 27882624 27956224 28616196 28829856 29150016 29430478 29779456 29978872 30140304 30538112 30710064 30768227 31282944 31341548 31865856 32105976 32529728 32704224 33314304 33634832 33944064 34008352 34261568 35071113 35097216 35163688 35486976 35818912 36496768 36692544 36938253 37176832 37376256 38083584 38154928 38439808 38866688 39814656 40081272 40111104 40187072 40946752 41442918 41710592 41934336 42807968 43605632 44145717 44669184 44968308 45807168 46761484 46796288 47012322 47315968 48350071 48794592 48923392 49251004 49835008 50452248 51012528 51392352 51489686 52463026 52745532 53441696 53728368 54745152 54847709 55257224 55765248 57232392 57659712 58300032 58860956 59558912 59957744 60280608 61076224 61420128 61536454 62565888 62683096 64211952 65059456 65408448 66628608 67269664 67888128 68016704 68523136 70142226 70194432 70327376 70973952 71637824 72993536 73385088 73876506 74353664 74752512 76309856 76879616 77234529 77733376 78694539 79629312 80162544 80374144 81893504 82885836 83868672 85615936 86189257 87211264 88291434 89338368 89936616 91614336 92304681 93522968 93592576 94024644 96700142 97589184 97846784 98502008 100904496 102025056 102784704 102979372 104926052 105491064 106883392 107456736 109490304 109695418 110514448 111530496 114464784 115319424 116600064 117721912 119915488 120561216 122152448 122840256 123072908 125131776 125366192 128423904 130118912 130816896 134539328 136033408 137046272 140284452 140388864 140654752 141947904 143275648 145050213 145987072 146770176 147753012 149505024 152619712 153759232 154469058 155466752 157389078 160325088 160748288 163787008 164543127 165771672 171231872 172378514 174422528 176582868 178676736 179873232 180213901 183228672 184609362 187045936 188049288 193400284 195178368 195693568 197004016 201808992 204050112 205569408 205958744 209852104 210982128 213766784 214913472 218980608 219390836 221028896 223060992 228929568 230638848 233200128 235443824 239830976 241122432 244304896 245680512 246145816 250732384 256847808 258567771 260237824 261633792 269078656 272066816 274092544 280568904 280777728 281309504 283193273 286551296 290100426 291974144 293540352 295506024 305239424 307518464 308938116 314778156 320650176 321496576 327574016 329086254 331543344 338450497 342463744 344757028 348845056 353165736 359746464 360427802 366457344 369218724 374091872 376098576 386800568 390356736 394008032 403617984 408100224 411138816 411917488 419704208 421964256 427533568 429826944 437961216 438781672 442057792 457859136 461277696 466400256 470887648 479661952 482244864 491361024 492291632 501464768 513695616 517135542 520475648 523267584 538157312 540641703 544133632 548185088 561137808 562619008 566386546 573102592 580200852 587080704 591012048 603324799 610478848 617876232 629556312 641300352 642993152 655148032 658172508 663086688 676900994 684927488 689514056 706331472 719492928 720855604 732914688 738437448 748183744 752197152 773601136 780713472 788016064 807235968 816200448 822277632 823834976 839408416 843928512 849579819 855067136 859653888 875922432 877563344 884115584 915718272 922555392 941775296 959323904 964489728 982722048 984583264 1002929536 1015351491 1027391232 1034271084 1046535168 1076314624 1081283406 1088267264 1122275616 1125238016 1132773092 1146205184 1160401704 1182024096 1206649598 1220957696 1235752464 1259112624 1261497307 1282600704 1316345016 1326173376 1353801988 1369854976 1379028112 1412662944 1438985856 1441711208 1476874896 1496367488 1504394304 1547202272 1561426944 1576032128 1614471936 1632400896 1644555264 1647669952 1678816832 1687857024 1699159638 1710134272 1719307776 1755126688 1768231168 1809974397 1831436544 1883550592 1918647808 1928979456 1965444096 1969166528 1982352911 2005859072 2030702982 2054782464 2068542168 2152629248 2162566812 2244551232 2250476032 2265546184 2320803408 2364048192 2413299196 2441915392 2471504928 2518225248 2522994614 2565201408 2632690032 2652346752 2707603976 2758056224 2825325888 2877971712 2883422416 2953749792 2992734976 3008788608 3094404544 3152064256 3228943872 3264801792 3295339904 3357633664 3375714048 3398319276 3438615552 3510253376 3536462336 3619948794 3662873088 3767101184 3784491921 3837295616 3938333056 3964705822 4011718144 4061405964 4109564928 4137084336 4325133624 4489102464 4500952064 4531092368 4641606816 4728096384 4826598392 4943009856 5036450496 5045989228 5130402816 5265380064 5304693504 5415207952 5516112448 5650651776 5755943424 5766844832 5907499584 5947058733 5985469952 6017577216 6188809088 6304128512 6457887744 6590679808 6715267328 6751428096 6796638552 7020506752 7072924672 7239897588 7325746176 7534202368 7568983842 7876666112 7929411644 8023436288 8122811928 8274168672 8650267248 8978204928 9062184736 9283213632 9456192768 9653196784 9886019712 10072900992 10091978456 10530760128 10609387008 10830415904 11032224896 11301303552 11511886848 11533689664 11814999168 11894117466 11970939904 12035154432 12377618176 12608257024 13181359616 13430534656 13502856192 13593277104 13876470377 14041013504 14479795176 15068404736 15137967684 15753332224 15858823288 16245623856 16548337344 17300534496 17956409856 18124369472 18566427264 18912385536 19306393568 19772039424 20145801984 20183956912 21061520256 21218774016 21660831808 22064449792 22602607104 23067379328 23629998336 23788234932 24070308864 24755236352 26362719232 26861069312 27186554208 27752940754 28082027008 28959590352 30275935368 31506664448 31717646576 32491247712 33096674688 34601068992 35912819712 36248738944 37132854528 37824771072 38612787136 39544078848 40291603968 40367913824 41629411131 42123040512 43321663616 44128899584 45205214208 46134758656 47259996672 47576469864 49510472704 54373108416 55505881508 56164054016 57919180704 60551870736 63435293152 64982495424 66193349376 69202137984 72497477888 74265709056 77225574272 79088157696 80583207936 80735827648 83258822262 84246081024 86643327232 88257799168 92269517312 94519993344 95152939728 108746216832 111011763016 115838361408 121103741472 126870586304 129964990848 132386698752 138404275968 144994955776 148531418112 154451148544 161471655296 166517644524 168492162048 173286654464 184539034624 190305879456 217492433664 222023526032 231676722816 242207482944 253741172608 259929981696 264773397504 276808551936 289989911552 308902297088 322943310592 333035289048 346573308928 380611758912 434984867328 444047052064 463353445632 484414965888 507482345216 519859963392 553617103872 617804594176 645886621184 666070578096 761223517824 869969734656 888094104128 926706891264 968829931776 1014964690432 1039719926784 1291773242368 1332141156192 1522447035648 1776188208256 1853413782528 1937659863552 2029929380864 2664282312384 3044894071296 3552376416512 3875319727104 5328564624768 6089788142592 7104752833024 10657129249536 14209505666048 21314258499072 42628516998144
- Sum of all divisors σ(n): 154534267552896
- Sum of proper divisors (its aliquot sum) s(n): 111905750554752
- 42628516998144 is an abundant number, because the sum of its proper divisors (111905750554752) is greater than itself. Its abundance is 69277233556608
Bases of 42628516998144
- Binary: 10011011000101001110011001110011101100000000002
- Hexadecimal: 0x26C5399CEC00
- Base-36: F3Z9QDUYO
Squares and roots of 42628516998144
- 42628516998144 squared (426285169981442) is 1817190461461051944899444736
- 42628516998144 cubed (426285169981443) is 77464134475257592174557330809403142569984
-
The
square root of 42628516998144 is 6529051.7686831065 -
The
cube root of 42628516998144 is 34932.8008572775
Scales and comparisons
How big is 42628516998144?- 42,628,516,998,144 seconds is equal to 1,355,454 years, 51 weeks, 9 hours, 42 minutes, 24 seconds.
-
To count from 1 to 42,628,516,998,144 would take you about three million, three hundred eighty-eight thousand, six hundred thirty-seven 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 42628516998144 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628516998144
- 42628516998144 backwards is 44189961582624
- 42628516998144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42628516998144's digits is 69
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42628516998144 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 42628516998144 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42628516998144/
Chicago style:
Numbermatics. 2024. "Number 42628516998144 - Facts about the integer". https://numbermatics.com/n/42628516998144/
The information we have on file for 42628516998144 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 42628516998144, math, Factors of 42628516998144, curriculum, school, college, exams, university, Prime factorization of 42628516998144, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred twenty-eight billion, five hundred sixteen million, nine hundred ninety-eight thousand, one hundred forty-four.