42107130381721680
42,107,130,381,721,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 42107130381721680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
42107130381721680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42107130381721680:
24 × 32 × 5 × 113 × 193 × 25312
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 19 × 19 × 19 × 2531 × 2531)See below for interesting mathematical facts about the number 42107130381721680 from the Numbermatics database.
Names of 42107130381721680
- Cardinal: 42107130381721680 can be written as Forty-two quadrillion, one hundred seven trillion, one hundred thirty billion, three hundred eighty-one million, seven hundred twenty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.210713038172168 × 1016
Factors of 42107130381721680
Divisors of 42107130381721680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 30 33 36 38 40 44 45 48 55 57 60 66 72 76 80 88 90 95 99 110 114 120 121 132 144 152 165 171 176 180 190 198 209 220 228 240 242 264 285 304 330 342 360 361 363 380 396 418 440 456 484 495 528 570 605 627 660 684 720 722 726 760 792 836 855 880 912 968 990 1045 1083 1089 1140 1210 1254 1320 1331 1368 1444 1452 1520 1584 1672 1710 1805 1815 1881 1936 1980 2090 2166 2178 2280 2299 2420 2508 2531 2640 2662 2736 2888 2904 3135 3249 3344 3420 3610 3630 3762 3960 3971 3993 4180 4332 4356 4560 4598 4840 5016 5062 5324 5415 5445 5776 5808 6270 6498 6655 6840 6859 6897 7220 7260 7524 7593 7920 7942 7986 8360 8664 8712 9196 9405 9680 10032 10124 10648 10830 10890 11495 11913 11979 12540 12655 12996 13310 13680 13718 13794 14440 14520 15048 15186 15884 15972 16245 16720 17328 17424 18392 18810 19855 19965 20248 20577 20691 21296 21660 21780 22779 22990 23826 23958 25080 25289 25310 25992 26620 27436 27588 27841 28880 29040 30096 30372 31768 31944 32490 34295 34485 35739 36784 37620 37965 39710 39930 40496 41154 41382 43320 43560 43681 45558 45980 47652 47916 48089 50160 50578 50620 51984 53240 54872 55176 55682 59565 59895 60744 61731 63536 63888 64980 68590 68970 71478 75240 75449 75867 75930 79420 79860 82308 82764 83523 86640 87120 87362 91116 91960 95304 95832 96178 101156 101240 102885 103455 106480 109744 110352 111364 113895 119130 119790 121488 123462 126445 129960 131043 137180 137940 139205 142956 144267 150480 150898 151734 151860 158840 159720 164616 165528 167046 174724 178695 182232 183920 190608 191664 192356 202312 202480 205770 206910 218405 222728 226347 227601 227790 238260 239580 240445 246924 250569 252890 259920 262086 274360 275880 278410 285912 288534 301796 303468 303720 306251 308655 317680 319440 329232 331056 334092 349448 357390 364464 377245 379335 384712 393129 404624 411540 413820 417615 432801 436810 445456 452694 455202 455580 476520 479160 480491 480890 493848 501138 505780 524172 528979 548720 551760 556820 571824 577068 603592 606936 607440 612502 617310 655215 668184 679041 698896 714780 721335 754490 758670 769424 786258 823080 827640 829939 835230 865602 873620 905388 910404 911160 913691 918753 953040 958320 960982 961780 987696 1002276 1011560 1048344 1057958 1113640 1131735 1138005 1154136 1207184 1213872 1225004 1234620 1252845 1310430 1336368 1358082 1429560 1441473 1442670 1508980 1517340 1531255 1572516 1586937 1646160 1655280 1659878 1670460 1731204 1747240 1810776 1820808 1822320 1827382 1837506 1921964 1923560 1965645 2004552 2023120 2096688 2115916 2164005 2227280 2263470 2276010 2308272 2402455 2450008 2469240 2489817 2505690 2620860 2644895 2716164 2741073 2756259 2859120 2882946 2885340 3017960 3034680 3062510 3145032 3173874 3319756 3340920 3368761 3395205 3462408 3494480 3621552 3641616 3654764 3675012 3843928 3847120 3931290 4009104 4149695 4231832 4324419 4328010 4526940 4552020 4568455 4593765 4760811 4804910 4900016 4938480 4979634 5011380 5241720 5289790 5432328 5482146 5512518 5765892 5770680 5818769 6035920 6069360 6125020 6290064 6347748 6405961 6639512 6681840 6737522 6790410 6924816 7207365 7309528 7350024 7469451 7687856 7862580 7934685 8223219 8299390 8463664 8648838 8656020 9053880 9104040 9129329 9136910 9187530 9521622 9609820 9959268 10022760 10050601 10106283 10483440 10579580 10864656 10964292 11025036 11531784 11541360 11637538 12250040 12449085 12695496 12811922 13279024 13475044 13580820 13705365 13781295 14414730 14619056 14700048 14938902 15725160 15869370 16446438 16598780 16843805 17297676 17312040 17360129 17456307 18107760 18208080 18258658 18273820 18375060 19043244 19217883 19219640 19918536 20045520 20101202 20212566 21159160 21622095 21928584 22050072 23063568 23275076 23804055 24500080 24898170 25390992 25623844 26950088 27161640 27387987 27410730 27562590 28829460 29093845 29877804 30151803 30318849 31450320 31738740 32029805 32892876 33197560 33687610 34595352 34624080 34720258 34912614 36517316 36547640 36750120 37347255 38086488 38435766 38439280 39837072 40202404 40425132 41116095 42318320 43244190 43857168 44100144 45646645 46550152 47608110 49796340 50253005 50531415 51247688 52080387 52368921 53900176 54323280 54775974 54821460 55125180 57653649 57658920 58187690 59755608 60303606 60637698 63477480 64006459 64059610 65785752 66395120 67375220 69190704 69440516 69825228 70465571 73034632 73095280 73500240 74694510 76172976 76871532 80404808 80850264 82163961 82232190 86488380 86800645 87281535 90455409 91293290 93100304 95216220 96089415 99592680 100506010 101062830 102495376 104160774 104737842 109551948 109642920 110250360 110556611 115307298 115317840 116375380 119511216 120607212 121275396 121713259 126954960 128012918 128119220 131571504 134750440 136939935 138881032 139650456 140931142 146069264 149389020 150759015 151594245 153743064 156241161 160809616 161700528 164327922 164464380 172976760 173601290 174563070 180910818 182586580 190432440 190961419 192019377 192178830 199185360 201012020 202125660 208321548 209475684 211396713 219103896 219285840 220500720 221113222 230614596 232750760 241214424 242550792 243426518 256025836 256238440 260401935 261844605 269500880 273879870 277762064 279300912 281862284 288268245 298778040 301518030 303188490 307486128 312482322 320032295 328655844 328928760 331669833 345953520 347202580 349126140 352327855 361821636 365139777 365173160 380864880 381922838 384038754 384357660 402024040 404251320 410819805 416643096 418951368 422793426 438207792 442226444 452277045 461229192 465501520 482428848 485101584 486853036 512051672 512476880 520803870 523689210 547759740 552783055 563724568 572884257 576058131 576536490 597556080 603036060 606376980 608566295 624964644 634190139 640064590 657311688 657857520 663339666 694405160 698252280 704655710 723643272 730279554 730346320 763845676 768077508 768715320 775121281 781205805 804048080 808502640 821639610 833286192 837902736 845586852 884452888 904554090 922458384 954807095 960096885 973706072 995009499 1024103344 1041607740 1047378420 1056983565 1095419331 1095519480 1105566110 1127449136 1145768514 1152116262 1153072980 1206072120 1212753960 1216122721 1217132590 1249929288 1268380278 1280129180 1314623376 1326679332 1338845849 1388810320 1396504560 1409311420 1447286544 1460559108 1527691352 1536155016 1537430640 1550242562 1562411610 1643279220 1658349165 1691173704 1718652771 1768905776 1809108180 1825698885 1909614190 1920193770 1947412144 1990018998 2083215480 2094756840 2100575609 2113967130 2190838662 2191038960 2211132220 2291537028 2304232524 2306145960 2312551921 2325363843 2412144240 2425507920 2432245442 2434265180 2499858576 2536760556 2560258360 2653358664 2677691698 2818622840 2864421285 2880290655 2921118216 3055382704 3072310032 3100485124 3124823220 3170950695 3286558440 3316698330 3382347408 3437305542 3618216360 3648368163 3651397770 3819228380 3840387540 3875606405 3980037996 4016537547 4166430960 4189513680 4201151218 4227934260 4381677324 4422264440 4583074056 4608465048 4612291920 4625103842 4650727686 4864490884 4868530360 4975047495 5073521112 5120516720 5306717328 5355383396 5477096655 5637245680 5728842570 5760581310 5842236432 6080613605 6200970248 6249646440 6301726827 6341901390 6573116880 6633396660 6694229245 6874611084 6937655763 6976091529 7236432720 7296736326 7302795540 7638456760 7680775080 7751212810 7960075992 8033075094 8402302436 8455868520 8526334091 8593263855 8763354648 8844528880 9166148112 9216930096 9250207684 9301455372 9728981768 9737060720 9950094990 10147042224 10502878045 10710766792 10945104489 10954193310 11457685140 11521162620 11562759605 11626819215 12049612641 12161227210 12401940496 12499292880 12603453654 12683802780 13266793320 13388458490 13749222168 13875311526 13952183058 14593472652 14605591080 14727304339 15276913520 15361550160 15502425620 15920151984 16066150188 16804604872 16911737040 17052668182 17186527710 17526709296 18241840815 18500415368 18602910744 18905180481 19457963536 19900189980 20082687735 20812967289 21005756090 21421533584 21890208978 21908386620 22915370280 23042325240 23106331699 23125519210 23253638430 24099225282 24322454420 25206907308 25367605560 25438071131 25579002273 26533586640 26776916980 27498444336 27750623052 27904366116 29186945304 29211182160 29454608678 31004851240 31508634135 32132300376 33609209744 34105336364 34373055420 34688278815 34880457645 36483681630 37000830736 37205821488 37810360962 39800379960 40165375470 41625934578 42011512180 42631670455 43780417956 43816773240 43938486499 44181913017 45830740560 46084650480 46212663398 46251038420 46507276860 48198450564 48644908840 50413814616 50735211120 50876142262 51158004546 53553833960 54725522445 55501246104 55808732232 58373890608 58909217356 60248063205 62009702480 63017268270 64264600752 68210672728 68746110840 69318995097 69376557630 69760915290 72967363260 73636521695 75620721924 76314213393 76737006819 79600759920 80330750940 83251869156 84023024360 85263340910 87560835912 87633546480 87876972998 88363826034 92425326796 92502076840 93014553720 94525902405 96396901128 97289817680 100827629232 101752284524 102316009092 104064836445 107107667920 109451044890 111002492208 111617464464 115531658495 117818434712 120496126410 126034536540 127190355655 127895011365 131815459497 132545739051 136421345456 137492221680 138637990194 138753115260 139521830580 145934726520 147273043390 151241443848 152628426786 153474013638 160661501880 162000347729 166503738312 168046048720 170526681820 175121671824 175753945996 176727652068 184850653592 185004153680 186029107440 189051804810 192793802256 203504569048 204632018184 207956985291 208129672890 218902089780 219692432495 220909565085 228942640179 231063316990 235636869424 240992252820 252069073080 254380711310 255790022730 263630918994 265091478102 277275980388 277506230520 279043661160 279818782441 291869453040 294546086780 302482887696 305256853572 306948027276 321323003760 324000695458 333007476624 341053363640 346594975485 351507891992 353455304136 369701307184 378103609620 381571066965 383685034095 395446378491 407009138096 409264036368 415913970582 416259345780 437804179560 439384864990 441819130170 457885280358 462126633980 481984505640 483323351489 486001043187 504138146160 508761422620 511580045460 527261837988 530182956204 554551960776 555012461040 558087322320 559637564882 589092173560 610513707144 613896054552 648001390916 659077297485 662728695255 682106727280 693189950970 703015783984 706910608272 756207219240 763142133930 767370068190 790892756982 810001738645 831827941164 832518691560 839456347323 875608359120 878769729980 883638260340 915770560716 924253267960 963969011280 966646702978 972002086374 1017522845240 1023160090920 1039784926455 1054523675976 1060365912408 1109103921552 1119275129764 1144713200895 1178184347120 1221027414288 1227792109104 1296002781832 1318154594970 1325457390510 1386379901940 1399093912205 1449970054467 1458003129561 1512414438480 1526284267860 1534740136380 1581785513964 1620003477290 1663655882328 1665037383120 1678912694646 1757539459960 1767276520680 1831541121432 1848506535920 1933293405956 1944004172748 1977231892455 2035045690480 2046320181840 2079569852910 2109047351952 2120731824816 2238550259528 2289426401790 2416616757445 2430005215935 2518369041969 2592005563664 2636309189940 2650914781020 2772759803880 2798187824410 2899940108934 2916006259122 3052568535720 3069480272760 3078006606851 3163571027928 3240006954580 3327311764656 3357825389292 3515078919920 3534553041360 3663082242864 3866586811912 3888008345496 3954463784910 4159139705820 4197281736615 4349910163401 4477100519056 4578852803580 4833233514890 4860010431870 5036738083938 5272618379880 5301829562040 5316556866379 5545519607760 5596375648820 5799880217868 5832012518244 6105137071440 6138960545520 6156013213702 6327142055856 6480013909160 6715650778584 7249850272335 7290015647805 7733173623824 7776016690992 7908927569820 8318279411640 8394563473230 8699820326802 9157705607160 9234019820553 9666467029780 9720020863740 10073476167876 10545236759760 10603659124080 10633113732758 11192751297640 11599760435736 11664025036488 12312026427404 12591845209845 12960027818320 13431301557168 14499700544670 14580031295610 15390033034255 15817855139640 15949670599137 16636558823280 16789126946460 17399640653604 18315411214320 18468039641106 19332934059560 19440041727480 20146952335752 21266227465516 21749550817005 22385502595280 23199520871472 23328050072976 24624052854808 25183690419690 26582784331895 27702059461659 28999401089340 29160062591220 30780066068510 31635710279280 31899341198274 33578253892920 34799281307208 36936079282212 38665868119120 38880083454960 40293904671504 42532454931032 43499101634010 46170099102765 47849011797411 49248105709616 50367380839380 53165568663790 55404118923318 57998802178680 58320125182440 58482125530169 61560132137020 63798682396548 67156507785840 69598562614416 73872158564424 79748352995685 85064909862064 86998203268020 92340198205530 95698023594822 100734761678760 106331137327580 110808237846636 115997604357360 116640250364880 116964251060338 123120264274040 127597364793096 138510297308295 147744317128848 159496705991370 173996406536040 175446376590507 184680396411060 191396047189644 201469523357520 212662274655160 221616475693272 233928502120676 239245058987055 246240528548080 255194729586192 277020594616590 292410627650845 318993411982740 347992813072080 350892753181014 369360792822120 382792094379288 425324549310320 443232951386544 467857004241352 478490117974110 526339129771521 554041189233180 584821255301690 637986823965480 701785506362028 738721585644240 765584188758576 877231882952535 935714008482704 956980235948220 1052678259543042 1108082378466360 1169642510603380 1275973647930960 1403571012724056 1754463765905070 1913960471896440 2105356519086084 2216164756932720 2339285021206760 2631695648857605 2807142025448112 3508927531810140 3827920943792880 4210713038172168 4678570042413520 5263391297715210 7017855063620280 8421426076344336 10526782595430420 14035710127240560 21053565190860840 42107130381721680
- Sum of all divisors σ(n): 164244885113312640
- Sum of proper divisors (its aliquot sum) s(n): 122137754731590960
- 42107130381721680 is an abundant number, because the sum of its proper divisors (122137754731590960) is greater than itself. Its abundance is 80030624349869280
Bases of 42107130381721680
- Binary: 100101011001100000110110010001001110100111100000010100002
- Hexadecimal: 0x95983644E9E050
- Base-36: BILQCNJDYS0
Squares and roots of 42107130381721680
- 42107130381721680 squared (421071303817216802) is 1773010428983308952868240982022400
- 42107130381721680 cubed (421071303817216803) is 74656381301352477517616281349250626014440325632000
-
The
square root of 42107130381721680 is 205200220.2282484881 -
The
cube root of 42107130381721680 is 347897.9596391271
Scales and comparisons
How big is 42107130381721680?- 42,107,130,381,721,680 seconds is equal to 1,338,876,500 years, 12 weeks, 17 hours, 48 minutes.
-
To count from 1 to 42,107,130,381,721,680 would take you about four billion, sixteen million, six hundred twenty-nine thousand, five hundred 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 42107130381721680 cubic inches would be around 28991.5 feet tall.
Recreational maths with 42107130381721680
- 42107130381721680 backwards is 08612718303170124
- The number of decimal digits it has is: 17
- The sum of 42107130381721680's digits is 54
- 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 42107130381721680 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 42107130381721680 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42107130381721680/
Chicago style:
Numbermatics. 2024. "Number 42107130381721680 - Facts about the integer". https://numbermatics.com/n/42107130381721680/
The information we have on file for 42107130381721680 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 42107130381721680, math, Factors of 42107130381721680, curriculum, school, college, exams, university, Prime factorization of 42107130381721680, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred seven trillion, one hundred thirty billion, three hundred eighty-one million, seven hundred twenty-one thousand, six hundred eighty.