27728020494720
27,728,020,494,720 is an even composite number composed of eight prime numbers multiplied together.
27728020494720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 27728020494720:
27 × 32 × 5 × 72 × 13 × 67 × 149 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 67 × 149 × 757)See below for interesting mathematical facts about the number 27728020494720 from the Numbermatics database.
Names of 27728020494720
- Cardinal: 27728020494720 can be written as Twenty-seven trillion, seven hundred twenty-eight billion, twenty million, four hundred ninety-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.772802049472 × 1013
Factors of 27728020494720
Divisors of 27728020494720
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 67 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 128 130 134 140 144 147 149 156 160 168 180 182 192 195 196 201 208 210 224 234 240 245 252 260 268 273 280 288 294 298 312 315 320 335 336 360 364 384 390 392 402 416 420 441 447 448 455 468 469 480 490 504 520 536 546 560 576 585 588 596 603 624 630 637 640 670 672 720 728 735 745 757 780 784 804 819 832 840 871 882 894 896 910 936 938 960 980 1005 1008 1040 1043 1072 1092 1120 1152 1170 1176 1192 1206 1248 1260 1274 1340 1341 1344 1365 1407 1440 1456 1470 1490 1514 1560 1568 1608 1638 1664 1680 1742 1764 1788 1820 1872 1876 1911 1920 1937 1960 2010 2016 2080 2086 2144 2184 2205 2235 2240 2271 2340 2345 2352 2384 2412 2496 2520 2548 2613 2680 2682 2688 2730 2814 2880 2912 2940 2980 3015 3028 3120 3129 3136 3185 3216 3276 3283 3360 3484 3528 3576 3640 3744 3752 3785 3822 3874 3920 4020 4032 4095 4160 4172 4221 4288 4355 4368 4410 4470 4480 4542 4680 4690 4704 4768 4824 4992 5040 5096 5215 5226 5299 5360 5364 5460 5628 5733 5760 5811 5824 5880 5960 6030 6056 6097 6240 6258 6272 6370 6432 6552 6566 6705 6720 6813 6968 7035 7056 7152 7280 7301 7488 7504 7570 7644 7748 7839 7840 8040 8064 8190 8320 8344 8442 8576 8710 8736 8820 8940 9084 9360 9380 9387 9408 9536 9555 9648 9685 9841 9849 9983 10080 10192 10430 10452 10598 10720 10728 10920 11256 11355 11466 11622 11648 11760 11920 12060 12112 12194 12480 12516 12740 12864 13065 13104 13132 13410 13440 13559 13626 13936 14070 14112 14304 14560 14602 14976 15008 15140 15288 15496 15645 15678 15680 15897 16080 16380 16415 16688 16884 17420 17433 17472 17640 17880 18168 18291 18720 18760 18774 18816 19072 19110 19296 19370 19682 19698 19966 20160 20384 20860 20904 21105 21196 21440 21456 21840 21903 22512 22710 22932 23244 23520 23840 24120 24224 24388 24960 25032 25480 25728 26130 26208 26264 26495 26820 27118 27252 27872 28140 28224 28608 28665 29055 29120 29204 29523 29547 29949 30016 30280 30485 30576 30992 31290 31356 31360 31794 32160 32760 32830 33376 33768 34065 34840 34866 34944 35280 35760 36336 36505 36582 37093 37440 37520 37548 38220 38592 38740 39195 39364 39396 39932 40320 40677 40768 41720 41808 42210 42392 42679 42880 42912 43680 43806 45024 45420 45864 46488 46935 47040 47680 47691 48240 48448 48776 49205 49245 49915 50064 50719 50960 52260 52416 52528 52990 53640 54236 54504 54873 55744 56280 56448 57216 57330 58110 58240 58408 59046 59094 59898 60032 60560 60970 61152 61984 62580 62712 63588 64320 65520 65660 65709 66752 67536 67795 68130 68887 69680 69732 69881 70560 71520 72672 73010 73164 74186 74880 75040 75096 76440 77184 77480 78390 78728 78792 79485 79864 81354 81536 83440 83616 84420 84784 85358 85824 87165 87360 87612 88569 89847 90048 90840 91455 91728 92976 93870 94080 94913 95360 95382 96480 96896 97552 98410 98490 99830 100128 101438 101920 104520 104832 105056 105980 107280 108472 109008 109515 109746 111279 111488 112560 112793 114660 116220 116816 118092 118188 119796 121120 121940 122031 122304 123968 125160 125424 127176 128037 128640 129779 131040 131320 131418 133504 135072 135590 136260 137774 139360 139464 139762 141120 143040 145344 146020 146328 147615 147735 148372 149745 150080 150192 152157 152880 154960 156780 157456 157584 158970 159728 162708 166880 167232 168840 169568 170716 171648 174330 174720 175224 177138 179694 180096 181680 182910 183456 185465 185952 187740 189826 190764 192960 195104 196820 196980 199660 200256 202876 203385 203840 206661 209040 209643 210112 211960 213395 214560 216944 218016 219030 219492 222558 225120 225586 229320 232440 233632 236184 236376 238455 239592 242240 243880 244062 244608 247936 250320 250848 253595 254352 256074 259558 262080 262640 262836 270144 271180 272520 274365 275548 278720 278928 279524 282240 284739 286080 290688 292040 292656 295230 295470 296744 299490 300160 300384 304314 305760 309920 313560 314912 315168 317940 319456 325416 328545 333760 333837 334464 337680 338379 339136 341432 344435 348660 349405 350448 354276 355033 359388 363360 365820 366912 370930 371904 375480 379652 381528 384111 385920 389337 390208 393640 393960 399320 400512 405752 406770 407680 413322 418080 419286 420224 423920 426790 429120 433888 436032 438060 438984 442845 445116 449235 450240 451172 456471 458640 464880 467264 472368 472752 474565 476910 479184 482209 484480 487760 488124 489167 500640 501696 507190 508704 512148 519116 524160 525280 525672 540288 542360 545040 548730 551096 556395 557440 557856 559048 563965 569478 584080 585312 590460 590940 593488 598980 600768 608628 610155 611520 619840 619983 627120 628929 629824 630336 635880 638912 640185 648895 650832 657090 659347 667520 667674 675360 676758 678272 682864 688870 697320 698810 700896 708552 710066 718776 726720 731640 733824 741860 743808 750960 759304 760785 763056 768222 778674 780416 787280 787920 789551 798640 811504 813540 826644 836160 838572 847840 853580 854217 858240 867776 872064 876120 877968 885690 890232 898470 900480 902344 908453 912942 917280 929760 934528 944736 945504 949130 953820 958368 964418 975520 976248 978334 1001280 1003392 1014380 1015137 1017408 1024296 1033305 1038232 1048215 1050560 1051344 1065099 1084720 1090080 1097460 1102192 1112790 1115712 1118096 1127930 1138956 1168011 1168160 1170624 1180920 1181880 1186976 1197960 1201536 1217256 1220310 1223040 1239680 1239966 1254240 1257858 1259648 1260672 1271760 1277824 1280370 1297790 1301664 1314180 1318694 1335348 1350720 1353516 1365728 1377740 1394640 1397620 1401792 1417104 1420132 1423695 1437552 1446627 1453440 1463280 1466309 1467501 1483720 1501920 1518608 1521570 1526112 1536444 1557348 1574560 1575840 1579102 1597280 1623008 1627080 1653288 1669185 1672320 1677144 1691895 1695680 1707160 1708434 1735552 1752240 1755936 1771380 1775165 1780464 1796940 1804688 1816906 1825884 1834560 1859520 1889472 1891008 1898260 1907640 1916736 1920555 1928836 1946685 1951040 1952496 1956668 1978041 2002560 2028760 2030274 2034816 2048592 2066610 2076464 2096430 2101120 2102688 2130198 2169440 2180160 2194920 2204384 2225580 2231424 2236192 2255860 2277912 2282355 2336022 2336320 2341248 2361840 2363760 2368653 2373952 2395920 2411045 2434512 2440620 2445835 2479932 2485231 2508480 2515716 2543520 2560740 2595580 2603328 2628360 2637388 2670696 2701440 2707032 2725359 2731456 2755480 2789280 2795240 2803584 2834208 2840264 2847390 2875104 2893254 2926560 2932618 2935002 2967440 3003840 3037216 3043140 3052224 3072888 3099915 3114696 3144645 3149120 3151680 3158204 3194560 3195297 3246016 3254160 3296735 3306576 3338370 3354288 3383790 3391360 3414320 3416868 3504480 3511872 3542760 3550330 3560928 3593880 3609376 3633812 3651768 3669120 3719040 3778944 3782016 3796520 3815280 3833472 3841110 3857672 3893370 3902080 3904992 3913336 3947755 3956082 4057520 4060548 4097184 4133220 4152928 4192860 4205376 4260396 4271085 4338880 4339881 4360320 4389840 4398927 4402503 4408768 4451160 4472384 4511720 4542265 4555824 4564710 4615429 4672044 4672640 4723680 4727520 4737306 4747904 4791840 4822090 4869024 4881240 4891670 4959864 4970462 5016960 5031432 5075685 5087040 5121480 5191160 5206656 5256720 5274776 5325495 5341392 5414064 5450718 5462912 5510960 5526857 5578560 5590480 5668416 5680528 5694780 5750208 5786508 5840055 5853120 5865236 5870004 5934123 5934880 6007680 6074432 6086280 6104448 6145776 6199830 6229392 6289290 6298240 6303360 6316408 6359171 6389120 6390594 6492032 6508320 6593470 6613152 6676740 6708576 6767580 6828640 6833736 7008960 7023744 7085520 7100660 7105959 7121856 7187760 7218752 7233135 7267624 7303536 7331545 7337505 7455693 7557131 7593040 7630560 7682220 7715344 7786740 7809984 7826672 7895510 7912164 8115040 8121096 8176077 8194368 8266440 8305856 8385720 8410752 8520792 8542170 8677760 8679762 8779680 8797854 8805006 8817536 8902320 8944768 9023440 9084530 9111648 9129420 9230858 9344088 9447360 9455040 9474612 9583680 9644180 9738048 9762480 9783340 9890205 9919728 9940924 10062864 10151370 10174080 10242960 10264163 10382320 10513440 10549552 10650990 10682784 10828128 10901436 11021920 11053714 11157120 11180960 11336832 11361056 11389560 11500416 11573016 11680110 11706240 11730472 11740008 11843265 11868246 11869760 12148864 12172560 12291552 12399660 12426155 12458784 12578580 12632816 12718342 12781188 13016640 13186940 13196781 13226304 13353480 13417152 13535160 13626795 13657280 13667472 13846287 14017920 14171040 14201320 14211918 14243712 14375520 14437504 14466270 14535248 14607072 14663090 14675010 14911386 15114262 15186080 15261120 15364440 15430688 15573480 15619968 15653344 15791020 15824328 15976485 16230080 16242192 16352154 16388736 16532880 16580571 16611712 16771440 17041584 17084340 17359524 17559360 17595708 17610012 17804640 18046880 18169060 18223296 18258840 18461716 18688176 18894720 18910080 18949224 19077513 19167360 19288360 19476096 19524960 19566680 19780410 19839456 19881848 20125728 20302740 20485920 20528326 20764640 21026880 21099104 21301980 21365568 21656256 21699405 21802872 21994635 22012515 22043840 22107428 22361920 22367079 22671393 22722112 22779120 23077145 23146032 23360220 23460944 23480016 23686530 23736492 23739520 24345120 24583104 24799320 24852310 24917568 25157160 25265632 25436684 25562376 26033280 26373880 26393562 26452608 26706960 26834304 27070320 27253590 27314560 27334944 27634285 27692574 28342080 28402640 28423836 28751040 28932540 29070496 29214144 29326180 29350020 29670615 29822772 30228524 30372160 30522240 30728880 30792489 30861376 31146960 31306688 31582040 31648656 31795855 31952970 32308003 32460160 32484384 32704308 33065760 33161142 33542880 34083168 34168680 34719048 35118720 35191416 35220024 35529795 35609280 36093760 36338120 36446592 36517680 36923432 37278465 37376352 37785655 37898448 38155026 38576720 39049920 39133360 39560820 39678912 39763696 40251456 40605480 40880385 40971840 41056652 41529280 41538861 42053760 42198208 42603960 42731136 43312512 43398810 43605744 43989270 44025030 44087680 44214856 44723840 44734158 45342786 45444224 45558240 46154290 46292064 46720440 46921888 46960032 47373060 47472984 48690240 49166208 49598640 49704620 49741713 49835136 50314320 50531264 50873368 51124752 51320815 52747760 52787124 52899917 53413920 54140640 54507180 54669888 55268570 55385148 56684160 56805280 56847672 57232539 57502080 57865080 58140992 58428288 58652360 58700040 59341230 59645544 60457048 60744320 61457760 61584978 61722752 62293920 62613376 63164080 63297312 63591710 63905940 64616006 64968768 65408616 65983905 66131520 66322284 67085760 68014179 68166336 68337360 69231435 69438096 70382832 70440048 71059590 71218560 71849141 72187520 72676240 73035360 73846864 74556930 74752704 75571310 75796896 76310052 77153440 78099840 78266720 79121640 79357824 79527392 80502912 81210960 81760770 81943680 82113304 82902855 83058560 83077722 84396416 85207920 86797620 87211488 87978540 88050060 88429712 89468316 90685572 91116480 92308580 92377467 92584128 93440880 93843776 93920064 94746120 94945968 95387565 96924009 97380480 98242703 99197280 99409240 99483426 100628640 101062528 101746736 102249504 102641630 105495520 105574248 105799834 106827840 108281280 109014360 109339776 110537140 110770296 111835395 113356965 113610560 113695344 114465078 115730160 116281984 117304720 117400080 118682460 119291088 120914096 122915520 123169956 124587840 126328160 126594624 127183420 127811880 129232012 129937536 130817232 131967810 132263040 132644568 134171520 136028358 136332672 136674720 138462870 138876192 140765664 140880096 142119180 143698282 145352480 146070720 147693728 149113860 149505408 151142620 151593792 152620104 153962445 154306880 156533440 158243280 158699751 159054784 161540015 162421920 163521540 164226608 165805710 166155444 170415840 173595240 174422976 175957080 176100120 176859424 178936632 181371144 182232960 184617160 184754934 185168256 186881760 187687552 187840128 189492240 189891936 190775130 193848018 196485406 198394560 198818480 198966852 201257280 203493472 204499008 205283260 207694305 210991040 211148496 211599668 213655680 215547423 216562560 218028720 221074280 221540592 223670790 226713930 227221120 227390688 228930156 231460320 234609440 234800160 237364920 238582176 241828192 245831040 246339912 248708565 249175680 252656320 253189248 254366840 255623760 258464024 261634464 263935620 264499585 265289136 272056716 273349440 276925740 277752384 281531328 281760192 284238360 286162695 287396564 290704960 290772027 292141440 294728109 295387456 298227720 302285240 303187584 305240208 307924890 308613760 313066880 316486560 317399502 318109568 323080030 324843840 327043080 328453216 331611420 332310888 340070895 340831680 347190480 348845952 351914160 352200240 353718848 357873264 359245705 362742288 369234320 369509868 370299419 373763520 378984480 379783872 381550260 387696036 392970812 396789120 397636960 397933704 402514560 406986944 408998016 410566520 415388610 421982080 422296992 423199336 431094846 436057440 442148560 443081184 447341580 453427860 454781376 457860312 461887335 462920640 469218880 469600320 474729840 476099253 477164352 483656384 484620045 491213515 492679824 497417130 505312640 508733680 511247520 516928048 523268928 527871240 528999170 530578272 544113432 546698880 553851480 555504768 563062656 563520384 568476720 572325390 574793128 581409920 581544054 589456218 590774912 596455440 604570480 610480416 615849780 632973120 634799004 646160060 646642269 649687680 654086160 656906432 663222840 664621776 680141790 681663360 687698921 694380960 703828320 704400480 707437696 715746528 718491410 725484576 738468640 739019736 740598838 747527040 757968960 759567744 763100520 775392072 785941624 793498755 795273920 795867408 813973888 821133040 830777220 844593984 846398672 862189692 872114880 884184327 884297120 886162368 894683160 906855720 909562752 915720624 923774670 925841280 938437760 939200640 949459680 952198506 954328704 967312768 969240090 982427030 985359648 994834260 1017467360 1022495040 1033856096 1046537856 1055742480 1057998340 1061156544 1077737115 1088226864 1107702960 1110898257 1136953440 1144650780 1149586256 1163088108 1178912436 1192910880 1209140960 1220960832 1231699560 1265946240 1269598008 1292320120 1293284538 1308172320 1313812864 1326445680 1329243552 1360283580 1375397842 1388761920 1407656640 1408800960 1431493056 1436982820 1450969152 1453860135 1473640545 1476937280 1478039472 1481197676 1515937920 1526201040 1550784144 1571883248 1586997510 1590547840 1591734816 1642266080 1661554440 1689187968 1692797344 1724379384 1744229760 1768368654 1768594240 1772324736 1789366320 1813711440 1831441248 1847549340 1851497095 1898919360 1904397012 1938480180 1964854060 1970719296 1989668520 2034934720 2044990080 2063096763 2067712192 2111484960 2115996680 2122313088 2155474230 2176453728 2215405920 2221796514 2273906880 2289301560 2299172512 2326176216 2357824872 2380496265 2385821760 2418281920 2441921664 2463399120 2539196016 2584640240 2586569076 2616344640 2652891360 2658487104 2720567160 2750795684 2777523840 2815313280 2817601920 2862986112 2873965640 2901938304 2907720270 2947281090 2953874560 2956078944 2962395352 3052402080 3101568288 3143766496 3173995020 3183469632 3233211345 3284532160 3323108880 3332694771 3385594688 3438494605 3448758768 3536737308 3537188480 3578732640 3627422880 3662882496 3695098680 3702994190 3797838720 3808794024 3876960360 3929708120 3941438592 3979337040 4069869440 4126193526 4135424384 4222969920 4231993360 4310948460 4352907456 4420921635 4430811840 4443593028 4547813760 4578603120 4598345024 4652352432 4715649744 4760992530 4771643520 4813892447 4836563840 4926798240 5078392032 5169280480 5173138152 5232689280 5305782720 5316974208 5441134320 5501591368 5554491285 5747931280 5815440540 5894562180 5912157888 5924790704 6104804160 6189290289 6203136576 6287532992 6347990040 6366939264 6466422690 6569064320 6646217760 6665389542 6771189376 6876989210 6897517536 7073474616 7157465280 7254845760 7325764992 7390197360 7405988380 7617588048 7753920720 7859416240 7958674080 8252387052 8445939840 8463986720 8621896920 8705814912 8841843270 8861623680 8887186056 9157206240 9196690048 9304704864 9431299488 9521985060 9627784894 9853596480 10156784064 10315483815 10338560960 10346276304 10611565440 10882268640 11003182736 11108982570 11495862560 11630881080 11789124360 11824315776 11849581408 12209608320 12378580578 12406273152 12575065984 12695980080 12932845380 13292435520 13330779084 13753978420 13795035072 14146949232 14314930560 14441677341 14509691520 14780394720 14811976760 15235176096 15507841440 15718832480 15917348160 16504774104 16663473855 16927973440 17243793840 17683686540 17774372112 18314412480 18609409728 18862598976 19043970120 19255569788 19707192960 20313568128 20630967630 20677121920 20692552608 21764537280 22006365472 22217965140 22991725120 23261762160 23578248720 23699162816 24069462235 24757161156 25391960160 25865690760 26584871040 26661558168 27507956840 27590070144 28293898464 28883354682 29560789440 29623953520 30470352192 30946451445 31015682880 31437664960 31834696320 33009548208 33326947710 33855946880 34487587680 35367373080 35548744224 36628824960 37218819456 37725197952 38087940240 38511139576 41261935260 41385105216 43325032023 43529074560 44012730944 44435930280 45983450240 46523524320 47156497440 47398325632 48138924470 49514322312 50783920320 51731381520 53323116336 55015913680 56587796928 57766709364 59121578880 59247907040 60940704384 61892902890 62031365760 62875329920 66019096416 66653895420 68975175360 70734746160 71097488448 72208386705 76175880480 77022279152 82523870520 82770210432 86650064046 88025461888 88871860560 93047048640 94312994880 96277848940 99028644624 101567840640 103462763040 106646232672 110031827360 113175593856 115533418728 118495814080 123785805780 132038192832 133307790840 137950350720 141469492320 142194976896 144416773410 152351760960 154044558304 165047741040 173300128092 177743721120 186094097280 188625989760 192555697880 198057289248 206925526080 213292465344 216625160115 220063654720 231066837456 236991628160 247571611560 264076385664 266615581680 282938984640 288833546820 304703521920 308089116608 330095482080 346600256184 355487442240 385111395760 396114578496 413851052160 426584930688 433250320230 440127309440 462133674912 495143223120 533231163360 565877969280 577667093640 616178233216 660190964160 693200512368 710974884480 770222791520 792229156992 866500640460 924267349824 990286446240 1066462326720 1155334187280 1320381928320 1386401024736 1540445583040 1733001280920 1848534699648 1980572892480 2132924653440 2310668374560 2772802049472 3080891166080 3466002561840 3961145784960 4621336749120 5545604098944 6932005123680 9242673498240 13864010247360 27728020494720
- Sum of all divisors σ(n): 122717656152000
- Sum of proper divisors (its aliquot sum) s(n): 94989635657280
- 27728020494720 is an abundant number, because the sum of its proper divisors (94989635657280) is greater than itself. Its abundance is 67261615162560
Bases of 27728020494720
- Binary: 1100100110111111011101100111111011001100000002
- Hexadecimal: 0x1937EECFD980
- Base-36: 9TU2RHI80
Squares and roots of 27728020494720
- 27728020494720 squared (277280204947202) is 768843120555612353547878400
- 27728020494720 cubed (277280204947203) is 21318497803990499052695186779974402048000
-
The
square root of 27728020494720 is 5265740.2608484215 -
The
cube root of 27728020494720 is 30267.2494092445
Scales and comparisons
How big is 27728020494720?- 27,728,020,494,720 seconds is equal to 881,665 years, 14 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 27,728,020,494,720 would take you about two million, two hundred four thousand, one hundred sixty-three 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 27728020494720 cubic inches would be around 2522.3 feet tall.
Recreational maths with 27728020494720
- 27728020494720 backwards is 02749402082772
- The number of decimal digits it has is: 14
- The sum of 27728020494720'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 27728020494720 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 27728020494720 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/27728020494720/
Chicago style:
Numbermatics. 2024. "Number 27728020494720 - Facts about the integer". https://numbermatics.com/n/27728020494720/
The information we have on file for 27728020494720 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 27728020494720, math, Factors of 27728020494720, curriculum, school, college, exams, university, Prime factorization of 27728020494720, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven trillion, seven hundred twenty-eight billion, twenty million, four hundred ninety-four thousand, seven hundred twenty.