81972270864000
81,972,270,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 81972270864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
81972270864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 81972270864000:
27 × 36 × 53 × 112 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 241 × 241)See below for interesting mathematical facts about the number 81972270864000 from the Numbermatics database.
Names of 81972270864000
- Cardinal: 81972270864000 can be written as Eighty-one trillion, nine hundred seventy-two billion, two hundred seventy million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 8.1972270864 × 1013
Factors of 81972270864000
Divisors of 81972270864000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 241 242 243 250 264 270 275 288 297 300 320 324 330 352 360 363 375 384 396 400 405 432 440 450 480 482 484 486 495 500 528 540 550 576 594 600 605 640 648 660 675 704 720 723 726 729 750 792 800 810 825 864 880 891 900 960 964 968 972 990 1000 1056 1080 1089 1100 1125 1152 1188 1200 1205 1210 1215 1296 1320 1350 1375 1408 1440 1446 1452 1458 1485 1500 1584 1600 1620 1650 1728 1760 1782 1800 1815 1920 1928 1936 1944 1980 2000 2025 2112 2160 2169 2178 2200 2250 2376 2400 2410 2420 2430 2475 2592 2640 2651 2673 2700 2750 2880 2892 2904 2916 2970 3000 3025 3168 3200 3240 3267 3300 3375 3456 3520 3564 3600 3615 3630 3645 3856 3872 3888 3960 4000 4050 4125 4224 4320 4338 4356 4400 4455 4500 4752 4800 4820 4840 4860 4950 5184 5280 5302 5346 5400 5445 5500 5760 5784 5808 5832 5940 6000 6025 6050 6075 6336 6480 6507 6534 6600 6750 7040 7128 7200 7230 7260 7290 7425 7712 7744 7776 7920 7953 8000 8019 8100 8250 8640 8676 8712 8800 8910 9000 9075 9504 9600 9640 9680 9720 9801 9900 10125 10368 10560 10604 10692 10800 10845 10890 11000 11568 11616 11664 11880 12000 12050 12100 12150 12375 12672 12960 13014 13068 13200 13255 13365 13500 14256 14400 14460 14520 14580 14850 15125 15424 15488 15552 15840 15906 16000 16038 16200 16335 16500 17280 17352 17424 17600 17820 18000 18075 18150 18225 19008 19280 19360 19440 19521 19602 19800 20250 21120 21208 21384 21600 21690 21780 22000 22275 23136 23232 23328 23760 23859 24000 24100 24200 24300 24750 25920 26028 26136 26400 26510 26730 27000 27225 28512 28800 28920 29040 29160 29161 29403 29700 30125 30250 30375 30848 31104 31680 31812 32076 32400 32535 32670 33000 34704 34848 35200 35640 36000 36150 36300 36450 37125 38016 38560 38720 38880 39042 39204 39600 39765 40095 40500 42416 42768 43200 43380 43560 44000 44550 45375 46272 46464 46656 47520 47718 48000 48200 48400 48600 49005 49500 51840 52056 52272 52800 53020 53460 54000 54225 54450 57024 57840 58080 58081 58320 58322 58563 58806 59400 60250 60500 60750 63360 63624 64152 64800 65070 65340 66000 66275 66825 69408 69696 71280 71577 72000 72300 72600 72900 74250 77120 77440 77760 78084 78408 79200 79530 80190 81000 81675 84832 85536 86400 86760 87120 87483 88000 88209 89100 90375 90750 91125 92544 93312 95040 95436 96400 96800 97200 97605 98010 99000 104112 104544 105600 106040 106920 108000 108450 108900 111375 114048 115680 116160 116162 116640 116644 117126 117612 118800 119295 120500 121000 121500 127248 128304 129600 130140 130680 132000 132550 133650 136125 138816 139392 142560 143154 144000 144600 145200 145800 145805 147015 148500 154240 155520 156168 156816 158400 159060 160380 162000 162675 163350 169664 171072 173520 174240 174243 174966 175689 176000 176418 178200 180750 181500 182250 190080 190872 192800 193600 194400 195210 196020 198000 198825 200475 208224 209088 212080 213840 214731 216000 216900 217800 222750 231360 232320 232324 233280 233288 234252 235224 237600 238590 241000 242000 243000 245025 254496 256608 259200 260280 261360 262449 264000 265100 267300 271125 272250 277632 285120 286308 289200 290400 290405 291600 291610 292815 294030 297000 312336 313632 316800 318120 320760 324000 325350 326700 331375 334125 339328 342144 347040 348480 348486 349932 351378 352836 356400 357885 361500 363000 364500 381744 385600 387200 388800 390420 392040 396000 397650 400950 408375 416448 418176 424160 427680 429462 432000 433800 435600 437415 441045 445500 462720 464648 466560 466576 468504 470448 475200 477180 482000 484000 486000 488025 490050 508992 513216 520560 522720 522729 524898 528000 530200 534600 542250 544500 570240 572616 578400 580800 580810 583200 583220 585630 588060 594000 596475 624672 627264 636240 638891 641520 644193 648000 650700 653400 662750 668250 694080 696960 696972 699864 702756 705672 712800 715770 723000 726000 729000 729025 735075 763488 771200 777600 780840 784080 787347 792000 795300 801900 813375 816750 832896 848320 855360 858924 867600 871200 871215 874830 878445 882090 891000 929296 933152 937008 940896 950400 954360 964000 968000 972000 976050 980100 994125 1002375 1017984 1026432 1041120 1045440 1045458 1049796 1060400 1069200 1073655 1084500 1089000 1145232 1156800 1161600 1161620 1166400 1166440 1171260 1176120 1188000 1192950 1225125 1249344 1254528 1272480 1277782 1283040 1288386 1296000 1301400 1306800 1312245 1325500 1336500 1388160 1393944 1399728 1405512 1411344 1425600 1431540 1446000 1452000 1452025 1458000 1458050 1464075 1470150 1526976 1561680 1568160 1568187 1574694 1584000 1590600 1603800 1626750 1633500 1696640 1710720 1717848 1735200 1742400 1742430 1749660 1756890 1764180 1782000 1789425 1858592 1866304 1874016 1881792 1908720 1916673 1928000 1932579 1936000 1944000 1952100 1960200 1988250 2004750 2082240 2090880 2090916 2099592 2120800 2138400 2147310 2169000 2178000 2187075 2205225 2290464 2313600 2323240 2332800 2332880 2342520 2352240 2362041 2376000 2385900 2440125 2450250 2498688 2544960 2555564 2566080 2576772 2602800 2613600 2613645 2624490 2651000 2673000 2787888 2799456 2811024 2822688 2851200 2863080 2892000 2904000 2904050 2916000 2916100 2928150 2940300 2982375 3053952 3123360 3136320 3136374 3149388 3181200 3194455 3207600 3220965 3253500 3267000 3435696 3470400 3484800 3484860 3499320 3513780 3528360 3564000 3578850 3645125 3675375 3717184 3732608 3748032 3763584 3817440 3833346 3856000 3865158 3888000 3904200 3920400 3936735 3976500 4009500 4164480 4181832 4199184 4241600 4276800 4294620 4338000 4356000 4356075 4374150 4392225 4410450 4580928 4646480 4665760 4685040 4704480 4704561 4724082 4752000 4771800 4880250 4900500 5089920 5111128 5132160 5153544 5205600 5227200 5227290 5248980 5302000 5346000 5368275 5575776 5598912 5622048 5645376 5726160 5750019 5784000 5808000 5808100 5832000 5832200 5856300 5880600 5964750 6246720 6272640 6272748 6298776 6362400 6388910 6415200 6441930 6507000 6534000 6561225 6871392 6940800 6969720 6998640 7027560 7027801 7056720 7086123 7128000 7157700 7260125 7290250 7320375 7350750 7434368 7496064 7634880 7666692 7730316 7808400 7840800 7840935 7873470 7953000 8019000 8363664 8398368 8483200 8553600 8589240 8676000 8712000 8712150 8748300 8784450 8820900 8947125 9161856 9292960 9331520 9370080 9408960 9409122 9448164 9543600 9583365 9662895 9760500 9801000 10222256 10307088 10411200 10454400 10454580 10497960 10604000 10692000 10736550 10935375 11026125 11151552 11197824 11244096 11290752 11452320 11500038 11568000 11616200 11664000 11664400 11712600 11761200 11810205 11929500 12493440 12545496 12597552 12724800 12777820 12830400 12883860 13014000 13068000 13068225 13122450 13742784 13939440 13997280 14055120 14055602 14113440 14113683 14172246 14256000 14315400 14520250 14580500 14640750 14701500 15269760 15333384 15460632 15616800 15681600 15681870 15746940 15906000 15972275 16038000 16104825 16727328 16796736 17178480 17250057 17352000 17424000 17424300 17496600 17568900 17641800 17894250 18585920 18663040 18740160 18817920 18818244 18896328 19087200 19166730 19325790 19521000 19602000 19683675 20444512 20614176 20822400 20909160 20995920 21083403 21208000 21258369 21384000 21473100 21780375 21870750 21961125 22052250 22303104 22488192 22904640 23000076 23232400 23328800 23425200 23522400 23522805 23620410 23859000 25090992 25195104 25449600 25555640 25660800 25767720 26028000 26136000 26136450 26244900 26841375 27485568 27878880 27994560 28110240 28111204 28226880 28227366 28344492 28630800 28750095 29040500 29161000 29281500 29403000 30666768 30921264 31233600 31363200 31363740 31493880 31812000 31944550 32076000 32209650 32806125 33454656 33593472 34356960 34500114 34704000 34848600 34993200 35137800 35139005 35283600 35430615 35788500 37171840 37480320 37636488 37792656 38174400 38333460 38651580 39042000 39204000 39204675 39367350 40889024 41228352 41818320 41991840 42166806 42341049 42416000 42516738 42768000 42946200 43560750 43741500 43922250 44104500 45809280 46000152 46464800 46657600 46850400 47044800 47045610 47240820 47718000 47916825 48314475 50181984 50390208 51111280 51535440 51750171 52056000 52272000 52272900 52489800 53682750 55757760 55989120 56220480 56222408 56453760 56454732 56688984 57261600 57500190 58081000 58322000 58563000 58806000 59051025 61333536 61842528 62467200 62727480 62987760 63250209 63624000 63889100 64152000 64419300 65341125 65612250 66909312 68713920 69000228 69697200 69986400 70275600 70278010 70567200 70568415 70861230 71577000 75272976 75585312 76348800 76666920 77303160 78084000 78408000 78409350 78734700 79861375 80524125 81778048 82456704 83636640 83983680 84333612 84682098 85033476 85892400 86250285 87121500 87483000 87844500 88209000 92000304 92929600 93315200 93700800 94089600 94091220 94481640 95436000 95833650 96628950 98418375 100363968 100780416 102222560 103070880 103500342 104112000 104545800 104979600 105417015 106291845 107365500 111515520 112440960 112444816 112909464 113377968 114523200 115000380 116162000 116644000 117126000 117612000 117614025 118102050 122667072 123685056 125454960 125975520 126500418 127248000 127778200 128304000 128838600 130682250 131224500 137427840 138000456 139394400 139972800 140551200 140556020 141134400 141136830 141722460 143154000 143750475 150545952 151170624 153333840 154606320 155250513 156168000 156816000 156818700 157469400 159722750 161048250 167273280 167967360 168667224 169364196 170066952 171784800 172500570 174243000 174966000 175689000 175695025 176418000 177153075 184000608 185859200 187401600 188182440 188963280 189750627 190872000 191667300 193257900 196023375 196836750 200727936 204445120 206141760 207000684 209091600 209959200 210834030 211705245 212583690 214731000 224889632 225818928 226755936 229046400 230000760 232324000 233288000 234252000 235224000 235228050 236204100 239584125 241572375 245334144 247370112 250909920 251951040 253000836 255556400 257677200 258750855 261364500 262449000 276000912 278788800 279945600 281102400 281112040 282268800 282273660 283444920 286308000 287500950 295255125 301091904 302341248 306667680 309212640 310501026 312336000 313637400 314938800 316251045 319445500 322096500 334546560 337334448 338728392 340133904 343569600 345001140 348486000 349932000 351378000 351390050 352836000 352842075 354306150 368001216 376364880 377926560 379501254 381744000 383334600 386515800 392046750 393673500 408890240 412283520 414001368 418183200 419918400 421668060 423410490 425167380 429462000 431251425 449779264 451637856 453511872 460001520 464648000 465751539 466576000 468504000 470448000 470456100 472408200 479168250 483144750 501819840 503902080 506001672 511112800 515354400 517501710 522729000 524898000 527085075 531459225 552001824 557577600 562204800 562224080 564547320 566889840 569251881 572616000 575001900 588070125 590510250 602183808 613335360 618425280 621002052 627274800 629877600 632502090 638891000 644193000 674668896 677456784 680267808 687139200 690002280 696972000 699864000 702756000 702780100 705672000 705684150 708612300 718752375 736002432 752729760 755853120 759002508 766669200 773031600 776252565 784093500 787347000 828002736 836366400 839836800 843336120 846820980 850334760 858924000 862502850 878475125 885765375 899558528 903275712 907023744 920003040 929296000 931503078 937008000 940912200 944816400 948753135 958336500 966289500 1003639680 1012003344 1022225600 1030708800 1035003420 1045458000 1049796000 1054170150 1058526225 1062918450 1104003648 1124448160 1129094640 1133779680 1138503762 1145232000 1150003800 1176140250 1181020500 1226670720 1236850560 1242004104 1254549600 1259755200 1265004180 1277782000 1288386000 1293754275 1349337792 1354913568 1360535616 1380004560 1393944000 1399728000 1405512000 1405560200 1411344000 1411368300 1417224600 1437504750 1505459520 1511706240 1518005016 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4140013680 4181832000 4199184000 4216680600 4234104900 4251673800 4312514250 4497792640 4516378560 4535118720 4554015048 4600015200 4657515390 4704561000 4724082000 4743765675 4968016416 5018198400 5060016720 5111128000 5123266929 5153544000 5175017100 5270850750 5292631125 5314592250 5419654272 5520018240 5622240800 5645473200 5668898400 5692518810 5750019000 6072020064 6133353600 6184252800 6210020520 6272748000 6298776000 6325020900 6468771375 6624021888 6746688960 6774567840 6802678080 6831022572 6900022800 7027801000 7056841500 7086123000 7452024624 7527297600 7558531200 7590025080 7666692000 7730316000 7762525650 7906276125 8096026752 8280027360 8363664000 8433361200 8468209800 8503347600 8538778215 8625028500 9032757120 9108030096 9200030400 9315030780 9409122000 9448164000 9487531350 9936032832 10120033440 10222256000 10246533858 10307088000 10350034200 10541701500 10585262250 10629184500 11040036480 11244481600 11290946400 11337796800 11385037620 11500038000 11643788475 12144040128 12420041040 12545496000 12597552000 12650041800 12937542750 13493377920 13549135680 13605356160 13662045144 13800045600 14055602000 14113683000 14172246000 14231297025 14904049248 15054595200 15180050160 15333384000 15460632000 15525051300 15812552250 16560054720 16866722400 16936419600 17006695200 17077556430 17250057000 18216060192 18400060800 18630061560 18818244000 18896328000 18975062700 19406314125 19872065664 20240066880 20493067716 20700068400 21083403000 21170524500 21258369000 22488963200 22581892800 22675593600 22770075240 23000076000 23287576950 23718828375 24288080256 24840082080 25090992000 25300083600 25616334645 25875085500 27098271360 27324090288 27600091200 28111204000 28227366000 28344492000 28462594050 29808098496 30360100320 30666768000 30921264000 31050102600 31625104500 33120109440 33733444800 33872839200 34013390400 34155112860 34500114000 36432120384 37260123120 37636488000 37792656000 37950125400 38812628250 40480133760 40986135432 41400136800 42166806000 42341049000 42516738000 42693891075 45163785600 45540150480 46000152000 46575153900 47437656750 49680164160 50600167200 51232669290 51750171000 54648180576 55200182400 56222408000 56454732000 56688984000 56925188100 58218942375 59616196992 60720200640 62100205200 63250209000 67466889600 67745678400 68026780800 68310225720 69000228000 71156485125 72864240768 74520246240 75272976000 75900250800 77625256500 81972270864 82800273600 84333612000 84682098000 85033476000 85387782150 91080300960 92000304000 93150307800 94875313500 99360328320 101200334400 102465338580 103500342000 109296361152 112444816000 112909464000 113377968000 113850376200 116437884750 121440401280 124200410400 126500418000 128081673225 135491356800 136620451440 138000456000 142312970250 149040492480 151800501600 155250513000 163944541728 165600547200 168667224000 169364196000 170066952000 170775564300 182160601920 186300615600 189750627000 202400668800 204930677160 207000684000 213469455375 218592722304 225818928000 227700752400 232875769500 248400820800 253000836000 256163346450 273240902880 276000912000 284625940500 298080984960 303601003200 310501026000 327889083456 337334448000 338728392000 340133904000 341551128600 364321203840 372601231200 379501254000 409861354320 414001368000 426938910750 455401504800 465751539000 496801641600 506001672000 512326692900 546481805760 569251881000 607202006400 621002052000 640408366125 655778166912 677456784000 683102257200 745202462400 759002508000 819722708640 828002736000 853877821500 910803009600 931503078000 1012003344000 1024653385800 1092963611520 1138503762000 1242004104000 1280816732250 1366204514400 1490404924800 1518005016000 1639445417280 1707755643000 1821606019200 1863006156000 2049306771600 2277007524000 2484008208000 2561633464500 2732409028800 3036010032000 3278890834560 3415511286000 3726012312000 4098613543200 4554015048000 5123266929000 5464818057600 6831022572000 7452024624000 8197227086400 9108030096000 10246533858000 13662045144000 16394454172800 20493067716000 27324090288000 40986135432000 81972270864000
- Sum of all divisors σ(n): 337269009118860
- Sum of proper divisors (its aliquot sum) s(n): 255296738254860
- 81972270864000 is an abundant number, because the sum of its proper divisors (255296738254860) is greater than itself. Its abundance is 173324467390860
Bases of 81972270864000
- Binary: 100101010001101101010000001011000010110100000002
- Hexadecimal: 0x4A8DA8161680
- Base-36: T21JHM000
Squares and roots of 81972270864000
- 81972270864000 squared (819722708640002) is 6719453190600983306496000000
- 81972270864000 cubed (819722708640003) is 550808836997912822544832442732544000000000
-
The
square root of 81972270864000 is 9053853.9232748835 -
The
cube root of 81972270864000 is 43439.9172032243
Scales and comparisons
How big is 81972270864000?- 81,972,270,864,000 seconds is equal to 2,606,464 years, 34 weeks, 1 day.
-
To count from 1 to 81,972,270,864,000 would take you about six million, five hundred sixteen thousand, one hundred sixty-one 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 81972270864000 cubic inches would be around 3620 feet tall.
Recreational maths with 81972270864000
- 81972270864000 backwards is 00046807227918
- 81972270864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 81972270864000's digits is 54
- More coming soon!
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"Number 81972270864000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 81972270864000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/81972270864000/
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The information we have on file for 81972270864000 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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