42516834105616416
42,516,834,105,616,416 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42516834105616416 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
42516834105616416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42516834105616416:
25 × 32 × 7 × 13 × 17 × 751 × 127068581
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 751 × 127068581)See below for interesting mathematical facts about the number 42516834105616416 from the Numbermatics database.
Names of 42516834105616416
- Cardinal: 42516834105616416 can be written as Forty-two quadrillion, five hundred sixteen trillion, eight hundred thirty-four billion, one hundred five million, six hundred sixteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2516834105616416 × 1016
Factors of 42516834105616416
Divisors of 42516834105616416
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 68 72 78 84 91 96 102 104 112 117 119 126 136 144 153 156 168 182 204 208 221 224 234 238 252 272 273 288 306 312 336 357 364 408 416 442 468 476 504 544 546 612 624 663 672 714 728 751 816 819 884 936 952 1008 1071 1092 1224 1248 1326 1428 1456 1502 1547 1632 1638 1768 1872 1904 1989 2016 2142 2184 2253 2448 2652 2856 2912 3004 3094 3276 3536 3744 3808 3978 4284 4368 4506 4641 4896 5257 5304 5712 6008 6188 6552 6759 7072 7956 8568 8736 9012 9282 9763 10514 10608 11424 12016 12376 12767 13104 13518 13923 15771 15912 17136 18024 18564 19526 21028 21216 24032 24752 25534 26208 27036 27846 29289 31542 31824 34272 36048 37128 38301 39052 42056 47313 49504 51068 54072 55692 58578 63084 63648 68341 72096 74256 76602 78104 84112 87867 89369 94626 102136 108144 111384 114903 117156 126168 136682 148512 153204 156208 165971 168224 175734 178738 189252 204272 205023 216288 222768 229806 234312 252336 268107 273364 306408 312416 331942 351468 357476 378504 408544 410046 445536 459612 468624 497913 504672 536214 546728 612816 615069 663884 702936 714952 757008 804321 820092 919224 937248 995826 1072428 1093456 1161797 1225632 1230138 1327768 1405872 1429904 1493739 1514016 1608642 1640184 1838448 1991652 2144856 2186912 2323594 2460276 2655536 2811744 2859808 2987478 3217284 3280368 3485391 3676896 3983304 4289712 4647188 4920552 5311072 5974956 6434568 6560736 6970782 7966608 8579424 9294376 9841104 10456173 11949912 12869136 13941564 15933216 18588752 19682208 20912346 23899824 25738272 27883128 37177504 41824692 47799648 55766256 83649384 111532512 127068581 167298768 254137162 334597536 381205743 508274324 762411486 889480067 1016548648 1143617229 1524822972 1651891553 1778960134 2033097296 2160165877 2287234458 2668440201 3049645944 3303783106 3557920268 4066194592 4320331754 4574468916 4955674659 5336880402 6099291888 6480497631 6607566212 7115840536 8005320603 8640663508 9148937832 9911349318 10673760804 11563240871 12198583776 12960995262 13215132424 14231681072 14867023977 15121161139 16010641206 17281327016 18297875664 19441492893 19822698636 21347521608 23126481742 25921990524 26430264848 28082156401 28463362144 29734047954 30242322278 32021282412 34562654032 34689722613 36595751328 38882985786 39645397272 42695043216 45363483417 46252963484 51843981048 52860529696 56164312802 59468095908 60484644556 64042564824 69125308064 69379445226 77765971572 79290794544 84246469203 85390086432 90726966834 92505926968 95428504331 103687962096 104069167839 112328625604 118936191816 120969289112 128085129648 136090450251 138758890452 155531943144 158581589088 168492938406 181453933668 185011853936 190857008662 196575094807 207375924192 208138335678 224657251208 237872383632 241938578224 252739407609 256170259296 272180900502 277517780904 286285512993 311063886288 336985876812 362907867336 370023707872 381714017324 393150189614 416276671356 449314502416 475744767264 483877156448 505478815218 544361801004 555035561808 572571025986 589725284421 622127772576 667999530317 673971753624 725815734672 763428034648 786300379228 832553342712 858856538979 898629004832 1010957630436 1088723602008 1110071123616 1145142051972 1179450568842 1240570556303 1335999060634 1347943507248 1451631469344 1526856069296 1572600758456 1622284573627 1665106685424 1717713077958 1769175853263 2003998590951 2021915260872 2177447204016 2290284103944 2358901137684 2481141112606 2671998121268 2695887014496 3053712138592 3145201516912 3244569147254 3330213370848 3435426155916 3538351706526 3721711668909 4007997181902 4043830521744 4354894408032 4580568207888 4717802275368 4866853720881 4962282225212 5343996242536 6011995772853 6290403033824 6489138294508 6870852311832 7076703413052 7443423337818 8015994363804 8087661043488 8683993894121 9161136415776 9435604550736 9733707441762 9924564450424 10687992485072 11165135006727 11355992015389 12023991545706 12978276589016 13741704623664 14153406826104 14600561162643 14886846675636 16031988727608 17367987788242 18871209101472 19467414883524 19849128900848 21089699457151 21375984970144 22330270013454 22711984030778 24047983091412 25956553178032 26051981682363 27483409247328 28306813652208 29201122325286 29773693351272 32063977455216 34067976046167 34735975576484 38934829767048 39698257801696 42179398914302 44660540026908 45423968061556 48095966182824 51913106356064 52103963364726 56613627304416 58402244650572 59547386702544 63269098371453 64127954910432 68135952092334 69471951152968 77869659534096 78155945047089 84358797828604 89321080053816 90847936123112 96191932365648 102203928138501 104207926729452 116804489301144 119094773405088 126538196742906 136271904184668 138943902305936 147627896200057 155739319068192 156311890094178 168717595657208 178642160107632 181695872246224 189807295114359 192383864731296 204407856277002 208415853458904 233608978602288 253076393485812 272543808369336 277887804611872 295255792400114 312623780188356 337435191314416 357284320215264 363391744492448 379614590228718 408815712554004 416831706917808 442883688600171 467217957204576 506152786971624 545087616738672 590511584800228 625247560376712 674870382628832 759229180457436 817631425108008 833663413835616 885767377200342 1012305573943248 1090175233477344 1181023169600456 1250495120753424 1328651065800513 1518458360914872 1635262850216016 1771534754400684 2024611147886496 2362046339200912 2500990241506848 2657302131601026 3036916721829744 3270525700432032 3543069508801368 4724092678401824 5314604263202052 6073833443659488 7086139017602736 10629208526404104 14172278035205472 21258417052808208 42516834105616416
- Sum of all divisors σ(n): 157772189898925056
- Sum of proper divisors (its aliquot sum) s(n): 115255355793308640
- 42516834105616416 is an abundant number, because the sum of its proper divisors (115255355793308640) is greater than itself. Its abundance is 72738521687692224
Bases of 42516834105616416
- Binary: 100101110000110011010101110110011101011011101000001000002
- Hexadecimal: 0x970CD5D9D6E820
- Base-36: BMMYJY2CW80
Squares and roots of 42516834105616416
- 42516834105616416 squared (425168341056164162) is 1807681182364507264648715328685056
- 42516834105616416 cubed (425168341056164163) is 76856880946436290614845160841118776252681607479296
-
The
square root of 42516834105616416 is 206196105.9419319297 -
The
cube root of 42516834105616416 is 349022.6724121223
Scales and comparisons
How big is 42516834105616416?- 42,516,834,105,616,416 seconds is equal to 1,351,903,811 years, 18 weeks, 3 days, 12 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,516,834,105,616,416 would take you about four billion, fifty-five million, seven hundred eleven thousand, four hundred thirty-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 42516834105616416 cubic inches would be around 29085.2 feet tall.
Recreational maths with 42516834105616416
- 42516834105616416 backwards is 61461650143861524
- 42516834105616416 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42516834105616416's digits is 63
- More coming soon!
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The information we have on file for 42516834105616416 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!
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