42121873945706100
42,121,873,945,706,100 is an even composite number composed of eight prime numbers multiplied together.
42121873945706100 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42121873945706100:
22 × 3 × 52 × 7 × 132 × 29 × 61 × 81912
(2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 29 × 61 × 8191 × 8191)See below for interesting mathematical facts about the number 42121873945706100 from the Numbermatics database.
Names of 42121873945706100
- Cardinal: 42121873945706100 can be written as Forty-two quadrillion, one hundred twenty-one trillion, eight hundred seventy-three billion, nine hundred forty-five million, seven hundred six thousand, one hundred.
Scientific notation
- Scientific notation: 4.21218739457061 × 1016
Factors of 42121873945706100
Divisors of 42121873945706100
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 29 30 35 39 42 50 52 58 60 61 65 70 75 78 84 87 91 100 105 116 122 130 140 145 150 156 169 174 175 182 183 195 203 210 244 260 273 290 300 305 325 338 348 350 364 366 377 390 406 420 427 435 455 507 525 546 580 609 610 650 676 700 725 732 754 780 793 812 845 854 870 910 915 975 1014 1015 1050 1092 1131 1183 1218 1220 1281 1300 1365 1450 1508 1525 1586 1690 1708 1740 1769 1820 1830 1885 1950 2028 2030 2100 2135 2175 2262 2275 2366 2379 2436 2535 2562 2639 2730 2900 3045 3050 3172 3380 3538 3549 3660 3770 3900 3965 4060 4225 4270 4350 4524 4550 4575 4732 4758 4901 5070 5075 5124 5278 5307 5460 5551 5655 5915 6090 6100 6405 6825 7076 7098 7540 7917 7930 8191 8450 8540 8700 8845 9100 9150 9425 9516 9802 10140 10150 10309 10556 10614 10675 11102 11310 11830 11895 12180 12383 12675 12810 13195 13650 14196 14703 15225 15834 15860 16382 16653 16900 17690 17745 18300 18850 19604 19825 20300 20618 21228 21350 22204 22620 22997 23660 23790 24505 24573 24766 25350 25620 26390 26535 27300 27755 28275 29406 29575 30450 30927 31668 32025 32764 33306 34307 35380 35490 37149 37700 39585 39650 40955 41236 42700 44225 45994 47580 49010 49146 49532 50700 51545 52780 53070 55510 56550 57337 58812 59150 59475 60900 61854 61915 64050 65975 66612 68614 68991 70980 72163 73515 74298 79170 79300 81910 83265 88450 88725 91988 98020 98292 102921 103090 106140 106483 111020 113100 114674 114985 118300 118950 122525 122865 123708 123830 128100 131950 132675 137228 137982 138775 144326 147030 148596 154635 158340 160979 163820 166530 171535 172011 176900 177450 185745 197925 204775 205842 206180 212966 216489 229348 229970 237539 237900 245050 245730 247660 257725 263900 265350 275964 277550 286685 288652 294060 298961 309270 309575 319449 321958 333060 343070 344022 344955 354900 360815 367575 371490 395850 409550 411684 416325 425932 432978 459940 475078 482937 490100 491460 499651 514605 515450 530700 532415 555100 573370 574925 597922 614325 618540 619150 638898 643916 686140 688044 689910 712617 721630 735150 742980 745381 773175 791700 804895 819100 832650 857675 860055 865956 896883 928725 950156 965874 999302 1029210 1030900 1064830 1082445 1146740 1149850 1187695 1195844 1228650 1238300 1277796 1379820 1384279 1425234 1433425 1443260 1470300 1490762 1494805 1498953 1546350 1597245 1609790 1662773 1665300 1715350 1720110 1724775 1793766 1804075 1857450 1931748 1998604 2058420 2092727 2129660 2164890 2236143 2299700 2375390 2414685 2457300 2498255 2573025 2662075 2768558 2850468 2866850 2981524 2989610 2997906 3088007 3092700 3194490 3219580 3325546 3430700 3440220 3449550 3497557 3563085 3587532 3608150 3714900 3726905 4024475 4152837 4185454 4300275 4329780 4472286 4484415 4750780 4829370 4988319 4996510 5146050 5324150 5412225 5537116 5733700 5938475 5979220 5995812 6176014 6278181 6388980 6495463 6651092 6899100 6921395 6995114 7126170 7216300 7453810 7474025 7494765 7986225 8048950 8305674 8313865 8370908 8600550 8944572 8968830 9264021 9658740 9689953 9976638 9993020 10292100 10463635 10492671 10648300 10824450 11180715 11876950 12073425 12352028 12491275 12556362 12990926 13842790 13990228 14252340 14489879 14907620 14948050 14989530 15440035 15972450 16097900 16611348 16627730 17201100 17487785 17815425 17937660 18528042 18634525 19379906 19486389 19953276 20764185 20927270 20985342 21616049 21648900 22361430 22422075 23753900 24146850 24941595 24982550 25112724 25981852 27685580 28979758 29069859 29896100 29979060 30880070 31390905 31944900 32477315 33255460 34606975 34975570 35630850 37056084 37269050 37473825 38759812 38972778 40144091 41528370 41569325 41854540 41970684 43232098 43469637 44722860 44844150 45468241 46320105 48293700 48449765 49883190 49965100 52318175 52463355 55903575 57959516 58139718 61760140 62781810 64848147 64954630 67092481 69213950 69951140 71261700 72449395 74538100 74947650 77200175 77945556 80288182 83056740 83138650 84441019 86464196 86939274 87438925 89688300 90936482 92640210 96899530 97431945 99766380 101429153 103820925 104636350 104926710 108080245 111807150 116279436 120432273 124707975 125563620 129696294 129909260 134184962 136404723 138427900 144898790 145349295 149895300 154400350 156954525 160576364 162386575 166277300 168882038 173878548 174877850 181872964 185280420 188368427 193799060 194863890 200720455 201277443 202858306 207641850 209272700 209853420 216160490 217348185 223614300 227341205 231600525 240864546 242248825 249415950 253323057 259392588 262316775 268369924 272809446 281008637 289797580 290698590 304287459 308800700 313909050 324240735 324773150 335462405 337764076 349755700 362246975 376736854 389727780 401440910 402554886 405716612 415283700 422205095 432320980 434696370 454682410 463201050 469647367 481729092 484497650 487159725 498831900 506646114 507145765 524633550 540401225 545618892 562017274 565105281 581397180 591087133 602161365 608574918 627818100 648481470 649546300 670924810 682023615 724493950 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5066461140 5071457650 5233213518 5274315956 5620172740 5635768404 5651052810 5837045847 5910871330 6021613650 6085749180 6105415771 6333076425 6484814700 6592894945 6709248100 6820236150 7025215925 7044710505 7093045596 7346368653 7607186475 7782727796 7911473934 8185282682 8430259110 8444101900 8722022530 8866306995 9392947340 9418421350 9728409745 9795158204 10063872150 10142915300 10466427036 11302105620 11338629289 11674091694 11741184175 11821742660 12043227300 12210831542 12243947755 12277924023 12666152850 13083033795 13185789890 13619773643 13640472300 14050431850 14089421010 14127632025 14692737306 14777178325 15214372950 15822947868 16370565364 16860518220 17141526857 17444045060 17732613990 18316247313 18836842700 19456819490 19778684835 20127744300 20463206705 21075647775 21805056325 22677258578 23348183388 23482368350 24421663084 24487895510 24555848046 25293865337 25332305700 26166067590 26371579780 27239547286 28100863700 28178842020 28255264050 28648489387 29185229235 29385474612 29554356650 30428745900 30527078855 32964474725 34015887867 34283053714 35223552525 35465227980 36632494626 36731843265 38913638980 39557369670 40859320929 40926413410 42151295550 43610112650 44331534975 45354517156 46964736700 48642048725 48975791020 49111696092 50587730674 51424580571 52332135180 53204337433 54479094572 56510528100 56693146445 57296978774 58370458470 59108713300 61054157710 61219738775 61389620115 65415168975 65928949450 68031775734 68098868215 68566107428 70447105050 73264989252 73463686530 75881596011 79114739340 79370405023 81718641858 81852826820 84302591100 85707634285 85945468161 87220225300 88663069950 91581236565 97284097450 98893424175 101175461348 102316033525 102849161142 106408674866 113386292890 114593957548 116740916940 118686598889 122108315420 122439477550 122779240230 126469326685 130830337950 131857898900 136063551468 136197736430 140894210100 143242446935 145926146175 146927373060 151763192022 152635394275 158740810046 159613012299 163437283716 170079439335 171415268570 171890936322 177057057359 177326139900 183162473130 183659216325 194568194900 197786848350 204296604645 204632067050 205698322284 212817349732 226772585780 237373197778 238111215069 244878955100 245558480460 252938653370 257122902855 261660675900 266021687165 272395472860 283465732225 286484893870 291852292350 303526384044 305270788550 306948100575 317481620092 319226024598 328820249381 340158878670 340494341075 342830537140 343781872644 354114114718 356059796667 366324946260 367318432650 372430362031 379407980055 395573696700 396852025115 408593209290 409264134100 428538171425 429727340805 457906182825 474746395556 476222430138 505877306740 514245805710 531171172077 532043374330 566931464450 572969787740 583704584700 593432994445 610541577100 613896201150 632346633425 638452049196 657640498762 680317757340 680988682150 691656386629 708228229436 712119593334 716212234675 734636865300 744860724062 758815960110 793704050230 798065061495 817186418580 830806192223 850397196675 857076342850 859454681610 885285286795 915812365650 952444860276 986460748143 1021483023225 1028491611420 1062342344154 1064086748660 1117291086093 1133862928900 1186865988890 1190556075345 1227792402300 1264693266850 1285614514275 1315280997524 1330108435825 1361977364300 1383312773258 1424239186668 1432424469350 1489721448124 1517631920220 1542925785557 1587408100460 1596130122990 1644101246905 1661612384446 1700794393350 1714152685700 1718909363220 1770570573590 1780298983335 1831624731300 1862151810155 1897039900275 1972921496286 1984260125575 2042966046450 2074969159887 2124684688308 2148636704025 2234582172186 2301741745667 2373731977780 2381112150690 2492418576669 2529386533700 2571229028550 2655855860385 2660216871650 2766625546516 2864848938700 2967164972225 3085851571114 3192260245980 3288202493810 3323224768892 3401588786700 3458281933145 3541141147180 3560597966670 3724303620310 3794079800550 3945842992572 3968520251150 3990325307475 4085932092900 4149938319774 4154030961115 4297273408050 4426426433975 4469164344372 4603483491334 4628777356671 4762224301380 4841594706403 4932303740715 4984837153338 5142458057100 5311711720770 5320433743300 5586455430465 5934329944450 5952780376725 6171703142228 6576404987620 6905225237001 6916563866290 7121195933340 7448607240620 7588159601100 7714628927785 7937040502300 7980650614950 8220506234525 8299876639548 8308061922230 8594546816100 8852852867950 8901494916675 9206966982668 9257554713342 9310759050775 9683189412806 9864607481430 9969674306676 10374845799435 10623423441540 10800480498899 11172910860930 11508708728335 11868659888900 11905560753450 12462092883345 13279279301925 13810450474002 13833127732580 14524784119209 15429257855570 15961301229900 16441012469050 16616123844460 17291409665725 17705705735900 17802989833350 18515109426684 18621518101550 19366378825612 19729214962860 20058035212241 20749691598870 20770154805575 21600960997798 22345821721860 23017417456670 23143886783355 23811121506900 24207973532015 24661518703575 24924185766690 26558558603850 27620900948004 27932277152325 29049568238418 30858515711140 32401441496697 32882024938100 34526126185005 34582819331450 35605979666700 37243036203100 38573144638925 40116070424482 41499383197740 41540309611150 43201921995596 46034834913340 46287773566710 48415947064030 49323037407150 49848371533380 51874228997175 53117117207700 54002402494495 55864554304650 57543543641675 58099136476836 60174105636723 62310464416725 64802882993394 69052252370010 69165638662900 72623920596045 77146289277850 80232140848964 83080619222300 92575547133420 96831894128060 98646074814300 100290176061205 103748457994350 108004804988990 111729108609300 115087087283350 115719433916775 120348211273446 121039867660075 124620928833450 129605765986788 138104504740020 140406246485687 145247841192090 154292578555700 162007207483485 172630630925025 200580352122410 207496915988700 216009609977980 230174174566700 231438867833550 240696422546892 242079735320150 249241857666900 270012012472475 280812492971374 290495682384180 300870528183615 324014414966970 345261261850050 363119602980225 401160704244820 421218739457061 462877735667100 484159470640300 501450880306025 540024024944950 561624985942748 601741056367230 648028829933940 690522523700100 702031232428435 726239205960450 810036037417425 842437478914122 1002901760612050 1080048049889900 1203482112734460 1404062464856870 1452478411920900 1504352640918075 1620072074834850 1684874957828244 2005803521224100 2106093697285305 2808124929713740 3008705281836150 3240144149669700 3510156162142175 4212187394570610 6017410563672300 7020312324284350 8424374789141220 10530468486426525 14040624648568700 21060936972853050 42121873945706100
- Sum of all divisors σ(n): 158599064813938560
- Sum of proper divisors (its aliquot sum) s(n): 116477190868232460
- 42121873945706100 is an abundant number, because the sum of its proper divisors (116477190868232460) is greater than itself. Its abundance is 74355316922526360
Bases of 42121873945706100
- Binary: 100101011010010110011111000001011100111010111110011101002
- Hexadecimal: 0x95A59F05CEBE74
- Base-36: BIQYHR4PSVO
Squares and roots of 42121873945706100
- 42121873945706100 squared (421218739457061002) is 1774252264697954373410627577210000
- 42121873945706100 cubed (421218739457061003) is 74734830241490807140267140113645618925717981000000
-
The
square root of 42121873945706100 is 205236141.9090363333 -
The
cube root of 42121873945706100 is 347938.5597088251
Scales and comparisons
How big is 42121873945706100?- 42,121,873,945,706,100 seconds is equal to 1,339,345,299 years, 50 weeks, 9 hours, 55 minutes.
-
To count from 1 to 42,121,873,945,706,100 would take you about four billion, eighteen million, thirty-five thousand, eight hundred ninety-nine 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 42121873945706100 cubic inches would be around 28994.9 feet tall.
Recreational maths with 42121873945706100
- 42121873945706100 backwards is 00160754937812124
- 42121873945706100 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42121873945706100's digits is 60
- More coming soon!
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"Number 42121873945706100 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 42121873945706100 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42121873945706100/
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The information we have on file for 42121873945706100 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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