42421348525639680
42,421,348,525,639,680 is an even composite number composed of seven prime numbers multiplied together.
42421348525639680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42421348525639680:
211 × 32 × 5 × 31 × 53 × 7699 × 36389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 53 × 7699 × 36389)See below for interesting mathematical facts about the number 42421348525639680 from the Numbermatics database.
Names of 42421348525639680
- Cardinal: 42421348525639680 can be written as Forty-two quadrillion, four hundred twenty-one trillion, three hundred forty-eight billion, five hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.242134852563968 × 1016
Factors of 42421348525639680
Divisors of 42421348525639680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 53 60 62 64 72 80 90 93 96 106 120 124 128 144 155 159 160 180 186 192 212 240 248 256 265 279 288 310 318 320 360 372 384 424 465 477 480 496 512 530 558 576 620 636 640 720 744 768 795 848 930 954 960 992 1024 1060 1116 1152 1240 1272 1280 1395 1440 1488 1536 1590 1643 1696 1860 1908 1920 1984 2048 2120 2232 2304 2385 2480 2544 2560 2790 2880 2976 3072 3180 3286 3392 3720 3816 3840 3968 4240 4464 4608 4770 4929 4960 5088 5120 5580 5760 5952 6144 6360 6572 6784 7440 7632 7680 7699 7936 8215 8480 8928 9216 9540 9858 9920 10176 10240 11160 11520 11904 12720 13144 13568 14787 14880 15264 15360 15398 15872 16430 16960 17856 18432 19080 19716 19840 20352 22320 23040 23097 23808 24645 25440 26288 27136 29574 29760 30528 30720 30796 31744 32860 33920 35712 36389 38160 38495 39432 39680 40704 44640 46080 46194 47616 49290 50880 52576 54272 59148 59520 61056 61592 63488 65720 67840 69291 71424 72778 73935 76320 76990 78864 79360 81408 89280 92160 92388 95232 98580 101760 105152 108544 109167 115485 118296 119040 122112 123184 131440 135680 138582 142848 145556 147870 152640 153980 157728 158720 162816 178560 181945 184776 190464 197160 203520 210304 218334 230970 236592 238080 238669 244224 246368 262880 271360 277164 285696 291112 295740 305280 307960 315456 317440 325632 327501 346455 357120 363890 369552 394320 407040 408047 420608 436668 461940 473184 476160 477338 488448 492736 525760 542720 545835 554328 571392 582224 591480 610560 615920 630912 655002 692910 714240 716007 727780 739104 788640 814080 816094 841216 873336 923880 946368 952320 954676 976896 985472 1051520 1091670 1108656 1128059 1164448 1182960 1193345 1221120 1224141 1231840 1261824 1310004 1385820 1428480 1432014 1455560 1478208 1577280 1628160 1632188 1637505 1682432 1746672 1847760 1892736 1909352 1928617 1970944 2040235 2103040 2148021 2183340 2217312 2256118 2328896 2365920 2386690 2442240 2448282 2463680 2523648 2620008 2771640 2856960 2864028 2911120 2956416 3154560 3264376 3275010 3364864 3384177 3493344 3580035 3672423 3695520 3785472 3818704 3857234 3941888 4080470 4206080 4296042 4366680 4434624 4512236 4657792 4731840 4773380 4884480 4896564 4927360 5047296 5240016 5543280 5640295 5728056 5785851 5822240 5912832 6120705 6309120 6528752 6550020 6768354 6986688 7160070 7344846 7391040 7570944 7637408 7714468 7883776 8160940 8412160 8592084 8733360 8869248 9024472 9315584 9463680 9546760 9643085 9793128 9854720 10094592 10152531 10480032 10740105 11086560 11280590 11456112 11571702 11644480 11825664 12241410 12618240 12649457 13057504 13100040 13536708 13973376 14320140 14689692 14782080 15141888 15274816 15428936 15767552 16321880 16824320 16920885 17184168 17357553 17466720 17738496 18048944 18362115 18631168 18927360 19093520 19286170 19586256 19709440 20305062 20960064 21480210 22173120 22561180 22912224 23143404 23288960 23651328 24482820 25236480 25298914 26115008 26200080 27073416 27946752 28640280 28929255 29379384 29564160 30283776 30549632 30857872 32643760 33841770 34368336 34715106 34933440 35476992 36097888 36724230 37262336 37854720 37948371 38187040 38572340 39172512 39418880 40610124 41920128 42960420 44346240 45122360 45824448 46286808 46577920 47302656 48965640 50472960 50597828 50762655 52230016 52400160 54146832 55893504 57280560 57858510 58758768 59128320 59787127 61099264 61715744 63247285 65287520 67683540 68736672 69430212 69866880 70953984 72195776 73448460 74524672 75709440 75896742 76374080 77144680 78345024 78837760 81220248 83840256 85920840 86787765 88692480 90244720 91648896 92573616 93155840 97931280 101195656 101525310 104460032 104800320 108293664 111787008 113845113 114561120 115717020 117517536 118256640 119574254 122198528 123431488 126494570 130575040 135367080 137473344 138860424 139733760 141907968 144391552 146896920 151418880 151793484 152748160 154289360 156690048 162440496 167680512 171841680 173575530 177384960 179361381 180489440 183297792 185147232 186311680 189741855 195862560 202391312 203050620 208920064 209600640 216587328 223574016 227690226 229122240 231434040 235035072 236513280 239148508 244397056 246862976 252989140 261150080 270734160 274946688 277720848 279467520 280158911 288783104 293793840 298935635 303586968 305496320 308578720 313380096 324880992 335361024 343683360 347151060 354769920 358722762 360978880 366595584 370294464 372623360 379483710 391725120 404782624 406101240 417840128 419201280 433174656 455380452 458244480 462868080 470070144 478297016 488794112 493725952 505978280 522300160 538084143 541468320 549893376 555441696 558935040 560317822 569225565 577566208 587587680 597871270 607173936 610992640 617157440 626760192 649761984 670722048 687366720 694302120 709539840 717445524 721957760 733191168 740588928 758967420 783450240 809565248 812202480 835680256 838402560 840476733 866349312 896806905 910760904 916488960 925736160 940140288 956594032 987451904 1011956560 1044600320 1076168286 1082936640 1099786752 1110883392 1117870080 1120635644 1138451130 1155132416 1175175360 1195742540 1214347872 1221985280 1234314880 1253520384 1299523968 1374733440 1388604240 1400794555 1434891048 1443915520 1466382336 1481177856 1517934840 1566900480 1619130496 1624404960 1676805120 1680953466 1732698624 1793613810 1821521808 1832977920 1851472320 1880280576 1913188064 1974903808 2023913120 2089200640 2152336572 2165873280 2199573504 2221766784 2241271288 2276902260 2310264832 2350350720 2391485080 2428695744 2443970560 2468629760 2507040768 2521430199 2599047936 2690420715 2749466880 2777208480 2801589110 2869782096 2887831040 2962355712 3035869680 3133800960 3238260992 3248809920 3353610240 3361906932 3465397248 3587227620 3643043616 3665955840 3702944640 3760561152 3826376128 3949807616 4047826240 4178401280 4202383665 4304673144 4331746560 4399147008 4443533568 4482542576 4553804520 4700701440 4782970160 4857391488 4937259520 5042860398 5198095872 5380841430 5498933760 5554416960 5603178220 5739564192 5775662080 5924711424 6071739360 6267601920 6476521984 6497619840 6723813864 6930794496 7174455240 7286087232 7331911680 7405889280 7521122304 7652752256 8095652480 8404767330 8609346288 8663493120 8684926241 8887067136 8965085152 9107609040 9401402880 9565940320 9714782976 9874519040 10085720796 10396191744 10761682860 10997867520 11108833920 11206356440 11479128384 11551324160 11849422848 12143478720 12535203840 12607150995 12953043968 12995239680 13447627728 14348910480 14572174464 14811778560 14848422283 15305504512 16191304960 16809534660 17218692576 17326986240 17369852482 17774134272 17930170304 18215218080 18802805760 19131880640 19429565952 19749038080 20171441592 20792383488 21523365720 21995735040 22217667840 22412712880 22958256768 24286957440 25214301990 25906087936 25990479360 26054778723 26895255456 28697820960 29144348928 29623557120 29696844566 30611009024 32382609920 33619069320 34437385152 34653972480 34739704964 35548268544 35860340608 36430436160 37605611520 38263761280 38859131904 40342883184 43046731440 43424631205 44435335680 44545266849 44825425760 45916513536 48573914880 50428603980 51980958720 52109557446 53790510912 57395641920 58288697856 59247114240 59393689132 61222018048 64765219840 67238138640 68874770304 69479409928 71720681216 72860872320 74242111415 76527522560 77718263808 78164336169 80685766368 86093462880 86849262410 88870671360 89090533698 89650851520 91833027072 97147829760 100857207960 103961917440 104219114892 107581021824 114791283840 116577395712 118787378264 122444036096 129530439680 130273893615 133635800547 134476277280 137749540608 138958819856 143441362432 145721744640 148484222830 153055045120 156328672338 161371532736 172186925760 173698524820 177741342720 178181067396 179301703040 183666054144 194295659520 201714415920 208438229784 215162043648 222726334245 229582567680 233154791424 237574756528 260547787230 267271601094 268952554560 275499081216 277917639712 286882724864 291443489280 296968445660 306110090240 312657344676 322743065472 344373851520 347397049640 356362134792 358603406080 367332108288 388591319040 390821680845 403428831840 416876459568 430324087296 445452668490 459165135360 460301090773 475149513056 521095574460 534543202188 537905109120 550998162432 555835279424 573765449728 582886978560 593936891320 612220180480 625314689352 645486130944 668179002735 688747703040 694794099280 712724269584 717206812160 781643361690 806857663680 833752919136 860648174592 890905336980 918330270720 920602181546 950299026112 1042191148920 1069086404376 1075810218240 1101996324864 1111670558848 1165773957120 1187873782640 1250629378704 1290972261888 1336358005470 1377495406080 1380903272319 1389588198560 1425448539168 1434413624320 1563286723380 1613715327360 1667505838272 1721296349184 1781810673960 1836660541440 1841204363092 1900598052224 2084382297840 2138172808752 2151620436480 2223341117696 2301505453865 2375747565280 2501258757408 2581944523776 2672716010940 2754990812160 2761806544638 2779176397120 2850897078336 2868827248640 3126573446760 3227430654720 3335011676544 3563621347920 3682408726184 3801196104448 4142709816957 4168764595680 4276345617504 4303240872960 4446682235392 4603010907730 4751495130560 5002517514816 5163889047552 5345432021880 5509981624320 5523613089276 5558352794240 5701794156672 6253146893520 6454861309440 6670023353088 6904516361595 7127242695840 7364817452368 7602392208896 8285419633914 8337529191360 8552691235008 8606481745920 8893364470784 9206021815460 9502990261120 10005035029632 10690864043760 11047226178552 11116705588480 11403588313344 12506293787040 12909722618880 13340046706176 13809032723190 14254485391680 14729634904736 15204784417792 16570839267828 16675058382720 17105382470016 17786728941568 18412043630920 19005980522240 20010070059264 20713549084785 21381728087520 22094452357104 22233411176960 22807176626688 25012587574080 25819445237760 26680093412352 27618065446380 28508970783360 29459269809472 30409568835584 33141678535656 33350116765440 34210764940032 36824087261840 38011961044480 40020140118528 41427098169570 42763456175040 44188904714208 44466822353920 45614353253376 50025175148160 53360186824704 55236130892760 57017941566720 58918539618944 66283357071312 66700233530880 68421529880064 73648174523680 76023922088960 80040280237056 82854196339140 85526912350080 88377809428416 88933644707840 91228706506752 100050350296320 110472261785520 114035883133440 117837079237888 132566714142624 133400467061760 136843059760128 147296349047360 152047844177920 160080560474112 165708392678280 171053824700160 176755618856832 200100700592640 220944523571040 228071766266880 235674158475776 265133428285248 266800934123520 273686119520256 294592698094720 331416785356560 342107649400320 353511237713664 400201401185280 441889047142080 456143532533760 471348316951552 530266856570496 589185396189440 662833570713120 684215298800640 707022475427328 800402802370560 883778094284160 942696633903104 1060533713140992 1178370792378880 1325667141426240 1368430597601280 1414044950854656 1767556188568320 2121067426281984 2356741584757760 2651334282852480 2828089901709312 3535112377136640 4242134852563968 4713483169515520 5302668565704960 7070224754273280 8484269705127936 10605337131409920 14140449508546560 21210674262819840 42421348525639680
- Sum of all divisors σ(n): 154655378317440000
- Sum of proper divisors (its aliquot sum) s(n): 112234029791800320
- 42421348525639680 is an abundant number, because the sum of its proper divisors (112234029791800320) is greater than itself. Its abundance is 69812681266160640
Bases of 42421348525639680
- Binary: 100101101011010111111101111000011100001110001000000000002
- Hexadecimal: 0x96B5FDE1C38800
- Base-36: BLP42H5EKG0
Squares and roots of 42421348525639680
- 42421348525639680 squared (424213485256396802) is 1799570810733791852074353190502400
- 42421348525639680 cubed (424213485256396803) is 76340220558706144607861572880182952497860575232000
-
The
square root of 42421348525639680 is 205964435.0989745025 -
The
cube root of 42421348525639680 is 348761.1947109843
Scales and comparisons
How big is 42421348525639680?- 42,421,348,525,639,680 seconds is equal to 1,348,867,665 years, 13 weeks, 6 days, 20 hours, 48 minutes.
-
To count from 1 to 42,421,348,525,639,680 would take you about four billion, forty-six million, six hundred two thousand, nine hundred ninety-five 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 42421348525639680 cubic inches would be around 29063.4 feet tall.
Recreational maths with 42421348525639680
- 42421348525639680 backwards is 08693652584312424
- 42421348525639680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42421348525639680's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 42421348525639680 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/42421348525639680/
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The information we have on file for 42421348525639680 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 42421348525639680, math, Factors of 42421348525639680, curriculum, school, college, exams, university, Prime factorization of 42421348525639680, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred twenty-one trillion, three hundred forty-eight billion, five hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty.