42102587680216200

Names of 42102587680216200

• Cardinal: 42102587680216200 can be written as Forty-two quadrillion, one hundred two trillion, five hundred eighty-seven billion, six hundred eighty million, two hundred sixteen thousand, two hundred.

Scientific notation

• Scientific notation: 4.21025876802162 × 10¹⁶

Factors of 42102587680216200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4154

Divisors of 42102587680216200

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 17 18 19 20 24 25 30 34 36 38 40 45 50 51 57 60 68 72 75 76 85 90 95 100 102 114 120 136 150 152 153 170 171 180 190 200 204 225 228 255 257 285 300 306 323 340 342 360 361 380 408 425 450 456 475 510 514 570 600 612 646 680 684 722 760 765 771 850 855 900 950 969 1020 1028 1083 1140 1224 1275 1285 1292 1368 1425 1444 1530 1542 1615 1700 1710 1800 1805 1900 1938 2040 2056 2166 2280 2313 2550 2570 2584 2850 2888 2907 3060 3084 3230 3249 3400 3420 3610 3800 3825 3851 3855 3876 4275 4332 4369 4626 4845 4883 5100 5140 5415 5700 5814 6120 6137 6168 6425 6460 6498 6840 7220 7650 7702 7710 7752 8075 8550 8664 8738 9025 9252 9690 9766 10200 10280 10830 11400 11553 11565 11628 12274 12850 12920 12996 13107 14440 14535 14649 15300 15404 15420 16150 16245 17100 17476 18050 18411 18504 19255 19275 19380 19532 21660 21845 23106 23130 23256 24225 24415 24548 25700 25992 26214 27075 29070 29298 30600 30685 30808 30840 32300 32490 34200 34659 34952 36100 36822 38510 38550 38760 39064 39321 43320 43690 43947 46212 46260 48450 48830 49096 51400 52428 54150 55233 57765 57825 58140 58596 61370 64600 64980 65467 65535 69318 72200 72675 73169 73245 73644 77020 77100 78642 81225 83011 87380 87894 92055 92424 92520 92777 96275 96900 97660 104856 108300 109225 110466 115530 115650 116280 117192 122075 122740 129960 130934 131070 138636 145350 146338 146490 147288 153425 154040 154200 157284 162450 166022 173295 174760 175788 184110 185554 192550 193800 195320 196401 196605 216600 218450 219507 219735 220932 231060 231300 244150 245480 249033 261868 262140 276165 277272 278331 288825 290700 292676 292980 306850 314568 324900 327335 327675 332044 346590 351576 365845 366225 368220 371108 385100 392802 393210 415055 436900 439014 439470 441864 460275 462120 462600 463885 488300 498066 523736 524280 552330 556662 577650 581400 585352 585960 589203 613700 649800 654670 655350 658521 664088 693180 731690 732450 736440 742216 747099 770200 785604 786420 830110 834993 866475 873800 878028 878940 920550 927770 976600 982005 983025 989707 996132 1097535 1098675 1104660 1113324 1155300 1178406 1227400 1243873 1245165 1309340 1310700 1317042 1380825 1386360 1390211 1391655 1463380 1464900 1494198 1571208 1572840 1577209 1636675 1660220 1669986 1732950 1756056 1757880 1829225 1841100 1855540 1964010 1966050 1979414 1992264 2075275 2195070 2197350 2209320 2226648 2310600 2319425 2356812 2487746 2490330 2618680 2621400 2634084 2761650 2780422 2783310 2926760 2929800 2946015 2969121 2988396 3154418 3273350 3292605 3320440 3339972 3465900 3658450 3682200 3711080 3731619 3735495 3928020 3932100 3958828 4150550 4170633 4174965 4390140 4394700 4638850 4713624 4731627 4910025 4948535 4975492 4980660 5268168 5487675 5523300 5560844 5566620 5892030 5938242 5976792 6219365 6225825 6308836 6546700 6585210 6679944 6931800 6951055 6958275 7316900 7463238 7470990 7856040 7864200 7886045 7917656 8301100 8341266 8349930 8780280 8789400 8907363 9277700 9463254 9820050 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83412660 83499300 84125095 88981206 89073630 89558856 93290475 94022165 94534348 94632540 98970700 100095192 100950114 104265825 111948570 112826598 113559048 117840600 118167935 118290675 118641608 118764840 124387300 125118990 131704200 133471809 134600152 139021100 141801522 141948810 148302010 148456050 149264760 149419800 150435464 151425171 157720900 166825320 166998600 168250190 169239897 177962412 178147260 186580950 188044330 189068696 189265080 197941400 201900228 208531650 212702283 222453015 222684075 223897140 225653196 236335870 236581350 248774600 250237980 252113417 252375285 266943618 278042200 279871425 281773819 282066495 283603044 283897620 296604020 296912100 302850342 312797475 315441800 319675361 336500380 338479794 354503805 354872025 355924824 356294520 357284227 370755025 373161900 376088660 403800456 417063300 420625475 425404566 444906030 445368150 447794280 451306392 470110825 472671740 473162700 500475960 504226834 504750570 533887236 559742850 563547638 564132990 567206088 567795240 590839675 593208040 593824200 605700684 625594950 639350722 667359045 673000760 676959588 709007610 709744050 714568454 741510050 746323800 752177320 756340251 757125855 834126600 841250950 845321457 846199485 850809132 889812060 890736300 940221650 945343480 946325400 959026083 1008453668 1009501140 1063511415 1067774472 1071852681 1112265075 1119485700 1127095276 1128265980 1181679350 1211401368 1251189900 1260567085 1261876425 1278701444 1334718090 1353919176 1408869095 1410332475 1418015220 1419488100 1429136908 1483020100 1512680502 1514251710 1598376805 1682501900 1690642914 1692398970 1701618264 1772519025 1779624120 1781472600 1786421135 1880443300 1918052166 2016907336 2019002280 2127022830 2143705362 2224530150 2238971400 2254190552 2256531960 2269020753 2363358700 2502379800 2521134170 2523752850 2535964371 2557402888 2669436180 2817738190 2820664950 2836030440 2838976200 2858273816 2877078249 2966040200 3025361004 3028503420 3196753610 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91107477885 91472679768 95284041425 95803098460 95902608300 96366646098 101438574840 107074051220 107185268100 109328973462 113451037650 114340849710 114963718152 115083129960 119753873075 121476637180 126798218550 128488861464 128622321720 129586296338 133842564025 137209019652 143704647690 143853912450 144831742966 145771964616 151268050200 151845796475 152454466280 160611076830 160777902150 169064291400 171511274565 172445577228 182025887074 182214955770 190568082850 191606196920 191805216600 192733292196 194379444507 214148102440 214370536200 215556971535 217247614449 218657946924 226902075300 228681699420 239507746150 240916615245 242953274360 253596437100 259172592676 267685128050 273038830611 273322433655 274418039304 285852124275 287409295380 287707824900 289663485932 303691592950 321222153660 321555804300 323965740845 343022549130 344891154456 359261619225 362079357415 364051774148 364429911540 381136165700 385466584392 388758889014 401527692075 431113943070 434495228898 437315893848 453804150600 455064717685 455537389425 457363398840 479015492300 481833230490 507192874200 518345185352 535370256100 546077661222 546644867310 571704248550 574818590760 575415649800 579326971864 583138333521 607383185900 642444307320 643111608600 647931481690 651742843347 686045098260 718523238450 724158714830 728103548296 728859823080 762272331400 777517778028 803055384150 819116491833 857556372825 862227886140 868990457796 910129435370 911074778850 958030984600 963666460980 971897222535 1070740512200 1077784857675 1086238072245 1092155322444 1093289734620 1143408497100 1166276667042 1204583076225 1214766371800 1231069815211 1295862963380 1303485686694 1365194153055 1366612168275 1372090196520 1375901558177 1437046476900 1448317429660 1555035556056 1606110768300 1619828704225 1638232983666 1715112745650 1724455772280 1737980915592 1810396787075 1820258870740 1822149557700 1927332921960 1943794445070 2155569715350 2172476144490 2184310644888 2186579469240 2275323588425 2286816994200 2332553334084 2409166152450 2462139630422 2591725926760 2606971373388 2730388306110 2733224336550 2751803116354 2874092953800 2896634859320 2915691667605 3212221536600 3239657408450 3258714216735 3276465967332 3430225491300 3620793574150 3640517741480 3644299115400 3693209445633 3887588890140 4095582459165 4127704674531 4311139430700 4344952288980 4550647176850 4665106668168 4818332304900 4859486112675 4924279260844 5213942746776 5431190361225 5460776612220 5466448673100 5503606232708 5831383335210 6155349076055 6479314816900 6517428433470 6552931934664 6825970765275 6860450982600 6879507790885 7241587148300 7386418891266 7775177780280 8191164918330 8255409349062 8622278861400 8689904577960 9101294353700 9636664609800 9718972225350 9848558521688 10862380722450 10921553224440 10932897346200 11007212465416 11079628336899 11662766670420 12310698152110 12383114023593 12958629633800 13034856866940 13651941530550 13759015581770 14483174296600 14578458338025 14772837782532 16293571083675 16382329836660 16510818698124 18202588707400 18466047228165 19437944450700 20477912295825 20638523372655 21724761444900 22159256673798 23325533340840 23390326489009 24621396304220 24766228047186 26069713733880 27303883061100 27518031163540 29156916676050 29545675565064 30776745380275 32587142167350 32764659673320 33021637396248 34397538954425 36932094456330 38875888901400 40955824591650 41277046745310 43449522889800 44318513347596 46780652978018 49242792608440 49532456094372 54607766122200 55036062327080 55398141684495 58313833352100 61553490760550 61915570117965 65174284334700 68795077908850 70170979467027 73864188912660 81911649183300 82554093490620 88637026695192 92330236140825 93561305956036 99064912188744 103192616863275 110796283368990 116627666704200 116951632445045 123106981521100 123831140235930 130348568669400 137590155817700 140341958934054 147728377825320 163823298366600 165108186981240 184660472281650 187122611912072 206385233726550 210512938401081 221592566737980 233903264890090 246213963042200 247662280471860 275180311635400 276990708422475 280683917868108 309577850589825 350854897335135 369320944563300 412770467453100 421025876802162 443185133475960 467806529780180 495324560943720 553981416844950 561367835736216 584758162225225 619155701179650 701709794670270 738641889126600 825540934906200 842051753604324 935613059560360 1052564692005405 1107962833689900 1169516324450450 1238311402359300 1403419589340540 1684103507208648 1754274486675675 2105129384010810 2215925667379800 2339032648900900 2476622804718600 2806839178681080 3508548973351350 4210258768021620 4678065297801800 5262823460027025 7017097946702700 8420517536043240 10525646920054050 14034195893405400 21051293840108100 42102587680216200
• Sum of all divisors σ(n): 158662143884605140
• Sum of proper divisors (its aliquot sum) s(n): 116559556204388940
• 42102587680216200 is an abundant number, because the sum of its proper divisors (116559556204388940) is greater than itself. Its abundance is 74456968524172740

Bases of 42102587680216200

• Binary: 10010101100101000001010010010110110011011101010010001000₂
• Hexadecimal: 0x95941496CDD488
• Base-36: BIK4DRK7820

Squares and roots of 42102587680216200

• 42102587680216200 squared (42102587680216200²) is 1772627889370292941312878742440000
• 42102587680216200 cubed (42102587680216200³) is 74632221136609340698592428900700081523315528000000
• The square root of 42102587680216200 is 205189150.9807869935
• The cube root of 42102587680216200 is 347885.4482710409

Scales and comparisons

• 42,102,587,680,216,200 seconds is equal to 1,338,732,056 years, 19 weeks, 4 days, 30 minutes.
• To count from 1 to 42,102,587,680,216,200 would take you about four billion, sixteen million, one hundred ninety-six thousand, one hundred sixty-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 42102587680216200 cubic inches would be around 28990.5 feet tall.

Recreational maths with 42102587680216200

• 42102587680216200 backwards is 00261208678520124
• The number of decimal digits it has is: 17
• The sum of 42102587680216200's digits is 54
• More coming soon!