1681221327984000
1,681,221,327,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1681221327984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
1681221327984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 1681221327984000:
27 × 37 × 53 × 11 × 31 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 140897)See below for interesting mathematical facts about the number 1681221327984000 from the Numbermatics database.
Names of 1681221327984000
- Cardinal: 1681221327984000 can be written as One quadrillion, six hundred eighty-one trillion, two hundred twenty-one billion, three hundred twenty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.681221327984 × 1015
Factors of 1681221327984000
Divisors of 1681221327984000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 120 124 125 128 132 135 144 150 155 160 162 165 176 180 186 192 198 200 216 220 225 240 243 248 250 264 270 275 279 288 297 300 310 320 324 330 341 352 360 372 375 384 396 400 405 432 440 450 465 480 486 495 496 500 528 540 550 558 576 594 600 620 640 648 660 675 682 704 720 729 744 750 775 792 800 810 825 837 864 880 891 900 930 960 972 990 992 1000 1023 1056 1080 1100 1116 1125 1152 1188 1200 1215 1240 1296 1320 1350 1364 1375 1395 1408 1440 1458 1485 1488 1500 1550 1584 1600 1620 1650 1674 1705 1728 1760 1782 1800 1860 1920 1944 1980 1984 2000 2025 2046 2112 2160 2187 2200 2232 2250 2325 2376 2400 2430 2475 2480 2511 2592 2640 2673 2700 2728 2750 2790 2880 2916 2970 2976 3000 3069 3100 3168 3200 3240 3300 3348 3375 3410 3456 3520 3564 3600 3645 3720 3875 3888 3960 3968 4000 4050 4092 4125 4185 4224 4320 4374 4400 4455 4464 4500 4650 4752 4800 4860 4950 4960 5022 5115 5184 5280 5346 5400 5456 5500 5580 5760 5832 5940 5952 6000 6075 6138 6200 6336 6480 6600 6696 6750 6820 6975 7040 7128 7200 7290 7425 7440 7533 7750 7776 7920 8000 8019 8100 8184 8250 8370 8525 8640 8748 8800 8910 8928 9000 9207 9300 9504 9600 9720 9900 9920 10044 10125 10230 10368 10560 10692 10800 10912 10935 11000 11160 11625 11664 11880 11904 12000 12150 12276 12375 12400 12555 12672 12960 13200 13365 13392 13500 13640 13950 14256 14400 14580 14850 14880 15066 15345 15500 15552 15840 16000 16038 16200 16368 16500 16740 17050 17280 17496 17600 17820 17856 18000 18225 18414 18600 19008 19440 19800 19840 20088 20250 20460 20925 21120 21384 21600 21824 21870 22000 22275 22320 22599 23250 23328 23760 24000 24057 24300 24552 24750 24800 25110 25575 25920 26400 26730 26784 27000 27280 27621 27900 28512 28800 29160 29700 29760 30132 30375 30690 31000 31104 31680 32076 32400 32736 33000 33480 34100 34875 34992 35200 35640 35712 36000 36450 36828 37125 37200 37665 38016 38880 39600 40095 40176 40500 40920 41850 42625 42768 43200 43648 43740 44000 44550 44640 45198 46035 46500 46656 47520 48000 48114 48600 49104 49500 49600 50220 51150 51840 52800 53460 53568 54000 54560 54675 55242 55800 57024 58320 59400 59520 60264 60750 61380 62000 62775 63360 64152 64800 65472 66000 66825 66960 67797 68200 69750 69984 71280 72000 72900 73656 74250 74400 75330 76725 77760 79200 80190 80352 81000 81840 82863 83700 85250 85536 86400 87480 88000 89100 89280 90396 91125 92070 93000 93312 95040 96228 97200 98208 99000 99200 100440 102300 104625 105600 106920 107136 108000 109120 109350 110484 111375 111600 112995 114048 116640 118800 120285 120528 121500 122760 124000 125550 127875 128304 129600 130944 132000 133650 133920 135594 136400 138105 139500 139968 140897 142560 144000 145800 147312 148500 148800 150660 153450 155520 158400 160380 160704 162000 163680 165726 167400 170500 171072 174960 176000 178200 178560 180792 182250 184140 186000 188325 190080 192456 194400 196416 198000 200475 200880 204600 209250 213840 216000 218240 218700 220968 222750 223200 225990 230175 233280 237600 240570 241056 243000 245520 248000 248589 251100 255750 256608 259200 264000 267300 267840 271188 272800 273375 276210 279000 279936 281794 285120 291600 294624 297000 297600 301320 306900 313875 316800 320760 321408 324000 327360 331452 334125 334800 338985 341000 342144 349920 356400 361584 364500 368280 372000 376650 383625 384912 388800 392832 396000 400950 401760 409200 414315 418500 422691 427680 432000 437400 441936 445500 446400 451980 460350 466560 475200 481140 482112 486000 491040 496000 497178 502200 511500 513216 528000 534600 535680 542376 545600 546750 552420 558000 563588 564975 570240 583200 589248 594000 601425 602640 613800 627750 641520 648000 654720 662904 668250 669600 677970 682000 690525 699840 704485 712800 723168 729000 736560 744000 745767 753300 767250 769824 777600 792000 801900 803520 818400 828630 837000 845382 855360 874800 883872 891000 892800 903960 920700 941625 950400 962280 964224 972000 982080 994356 1002375 1004400 1023000 1026432 1069200 1084752 1091200 1093500 1104840 1116000 1127176 1129950 1150875 1166400 1178496 1188000 1202850 1205280 1227600 1242945 1255500 1268073 1283040 1296000 1325808 1336500 1339200 1355940 1364000 1381050 1399680 1408970 1425600 1446336 1458000 1473120 1488000 1491534 1506600 1534500 1539648 1549867 1584000 1603800 1607040 1636800 1657260 1674000 1690764 1694925 1710720 1749600 1767744 1782000 1807920 1841400 1883250 1924560 1944000 1964160 1988712 2004750 2008800 2046000 2071575 2113455 2138400 2169504 2187000 2209680 2232000 2254352 2259900 2301750 2332800 2376000 2405700 2410560 2455200 2485890 2511000 2536146 2566080 2651616 2673000 2678400 2711880 2728000 2762100 2817940 2824875 2851200 2892672 2916000 2946240 2983068 3007125 3013200 3069000 3079296 3099734 3207600 3273600 3314520 3348000 3381528 3389850 3452625 3499200 3522425 3535488 3564000 3615840 3682800 3728835 3766500 3804219 3849120 3888000 3977424 4009500 4017600 4092000 4143150 4226910 4276800 4339008 4367807 4374000 4419360 4464000 4508704 4519800 4603500 4649601 4752000 4811400 4821120 4910400 4971780 5022000 5072292 5132160 5303232 5346000 5423760 5456000 5524200 5635880 5649750 5832000 5892480 5966136 6014250 6026400 6138000 6199468 6214725 6340365 6415200 6629040 6696000 6763056 6779700 6905250 6998400 7044850 7128000 7231680 7365600 7457670 7533000 7608438 7698240 7749335 7954848 8019000 8035200 8184000 8286300 8453820 8474625 8553600 8678016 8735614 8748000 8838720 9017408 9039600 9207000 9299202 9622800 9820800 9943560 10044000 10144584 10357875 10567275 10606464 10692000 10847520 11048400 11271760 11299500 11412657 11664000 11932272 12028500 12052800 12276000 12398936 12429450 12680730 12830400 13103421 13258080 13392000 13526112 13559400 13810500 13948803 14089700 14256000 14463360 14731200 14915340 15066000 15216876 15396480 15498670 15909696 16038000 16368000 16572600 16907640 16949250 17471228 17496000 17612125 17677440 18034816 18079200 18414000 18598404 18644175 19021095 19245600 19887120 20088000 20289168 20715750 21134550 21384000 21695040 21839035 22096800 22543520 22599000 22825314 23248005 23864544 24057000 24105600 24552000 24797872 24858900 25361460 25660800 26206842 26516160 27052224 27118800 27621000 27897606 28179400 29462400 29830680 30132000 30433752 30997340 31073625 31701825 31819392 32076000 33145200 33815280 33898500 34237971 34942456 34992000 35224250 36158400 36828000 37196808 37288350 38042190 38491200 38746675 39310263 39774240 40176000 40578336 41431500 41846409 42269100 42768000 43390080 43678070 44193600 45087040 45198000 45650628 46496010 47729088 48045877 48114000 49104000 49595744 49717800 50722920 52413684 52836375 53032320 54104448 54237600 55242000 55795212 56358800 57063285 59661360 60264000 60867504 61994680 62147250 63403650 64152000 65517105 66290400 67630560 67797000 68475942 69744015 69884912 70448500 72316800 73656000 74393616 74576700 76084380 76982400 77493350 78620526 79548480 81156672 82863000 83692818 84538200 87356140 88387200 90174080 90396000 91301256 92992020 93220875 95105475 95458176 96091754 96228000 99191488 99435600 101445840 102713913 104827368 105672750 108475200 109195175 110484000 111590424 112717600 114126570 116240025 117930789 119322720 120528000 121735008 123989360 124294500 125539227 126807300 128304000 131034210 132580800 135261120 135594000 136951884 139488030 139769824 140897000 144137631 147312000 148787232 149153400 152168760 154986700 157241052 158509125 159096960 162313344 165726000 167385636 169076400 171189855 174712280 180792000 182602512 185984040 186441750 190210950 192183508 192456000 193733375 196551315 198382976 198871200 202891680 205427826 209232045 209654736 211345500 216950400 218390350 220968000 223180848 225435200 228253140 232480050 235861578 238645440 240229385 243470016 247978720 248589000 251078454 253614600 262068420 265161600 270522240 271188000 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37737852480 38209575636 38436701600 38517717375 38917160370 39310263000 39442142592 40172552640 41085565200 41511637728 41846409000 41930947200 42455084040 43241289300 44224045875 44636169600 45194121720 45285422976 45650628000 46124041920 46700592444 47077210125 47172315600 47761969545 48045877000 48207063168 49302678240 50215690800 50946100848 51356956500 51889547160 52413684000 53068855050 54051611625 54232946064 54780753600 55348850304 55795212000 56492652150 56606778720 57655052400 58375740555 58965394500 60258828960 60867504000 61628347800 62267456592 62769613500 62896420800 63682626060 64861933950 65736904320 66954254400 67791182580 67928134464 68475942000 69186062880 69884912000 70050888666 70758473400 72068815500 72310594752 74393616000 75323536200 75475704960 76419151272 76873403200 77035434750 77834320740 78620526000 79603282575 80345105280 82171130400 83023275456 83692818000 84738978225 84910168080 86482578600 88448091750 90388243440 91301256000 92248083840 93401184888 94154420250 94344631200 95523939090 96091754000 97292900925 98605356480 100431381600 101892201696 102713913000 103779094320 104827368000 105076332999 106137710100 108103223250 108465892128 109561507200 111590424000 112985304300 113213557440 115310104800 116751481110 117930789000 120517657920 123256695600 124534913184 125539227000 125792841600 127365252120 129723867900 132672137625 133908508800 135582365160 135856268928 136951884000 138372125760 140101777332 141231630375 141516946800 144137631000 144621189504 150647072400 152838302544 153746806400 154070869500 155668641480 157241052000 159206565150 162154834875 164342260800 166046550912 167385636000 169477956450 169820336160 172965157200 175127221665 176896183500 180776486880 182602512000 186802369776 188308840500 188689262400 191047878180 192183508000 194585801850 197210712960 200862763200 203784403392 205427826000 207558188640 209654736000 210152665998 212275420200 216206446500 216931784256 223180848000 225970608600 226427114880 230620209600 233502962220 235861578000 238809847725 241035315840 246513391200 249069826368 251078454000 254730504240 259447735800 265344275250 271164730320 273903768000 276744251520 280203554664 282463260750 283033893600 288275262000 291878702775 301294144800 305676605088 308141739000 311337282960 314482104000 318413130300 324309669750 328684521600 334771272000 338955912900 339640672320 345930314400 350254443330 353792367000 361552973760 373604739552 376617681000 377378524800 382095756360 384367016000 389171603700 398016412875 401725526400 407568806784 410855652000 415116377280 420305331996 423694891125 424550840400 432412893000 433863568512 451941217200 461240419200 467005924440 471723156000 477619695450 486464504625 493026782400 498139652736 502156908000 509461008480 518895471600 525381664995 530688550500 542329460640 547807536000 560407109328 564926521500 566067787200 576550524000 583757405550 602588289600 611353210176 616283478000 622674565920 628964208000 636826260600 648619339500 669542544000 677911825800 679281344640 691860628800 700508886660 707584734000 723105947520 747209479104 753235362000 764191512720 768734032000 778343207400 796032825750 821711304000 830232754560 840610663992 847389782250 849101680800 864825786000 875636108325 903882434400 934011848880 943446312000 955239390900 972929009250 986053564800 1004313816000 1018922016960 1037790943200 1050763329990 1061377101000 1084658921280 1120814218656 1129853043000 1132135574400 1153101048000 1167514811100 1194049238625 1205176579200 1222706420352 1232566956000 1245349131840 1273652521200 1297238679000 1355823651600 1383721257600 1401017773320 1415169468000 1459393513875 1494418958208 1506470724000 1528383025440 1556686414800 1592065651500 1643422608000 1681221327984 1694779564500 1698203361600 1729651572000 1751272216650 1807764868800 1868023697760 1886892624000 1910478781800 1945858018500 2008627632000 2037844033920 2075581886400 2101526659980 2122754202000 2169317842560 2241628437312 2259706086000 2306202096000 2335029622200 2388098477250 2465133912000 2490698263680 2547305042400 2594477358000 2626908324975 2711647303200 2802035546640 2830338936000 2918787027750 3012941448000 3056766050880 3113372829600 3184131303000 3362442655968 3389559129000 3396406723200 3459303144000 3502544433300 3615529737600 3736047395520 3820957563600 3891716037000 4151163772800 4203053319960 4245508404000 4378180541625 4483256874624 4519412172000 4670059244400 4776196954500 4930267824000 5094610084800 5188954716000 5253816649950 5423294606400 5604071093280 5660677872000 5837574055500 6025882896000 6113532101760 6226745659200 6368262606000 6724885311936 6779118258000 6918606288000 7005088866600 7472094791040 7641915127200 7783432074000 8406106639920 8491016808000 8756361083250 9038824344000 9340118488800 9552393909000 10189220169600 10377909432000 10507633299900 10846589212800 11208142186560 11675148111000 12453491318400 12736525212000 13134541624875 13449770623872 13558236516000 14010177733200 15283830254400 15566864148000 16812213279840 16982033616000 17512722166500 18077648688000 18680236977600 19104787818000 20755818864000 21015266599800 22416284373120 23350296222000 25473050424000 26269083249750 27116473032000 28020355466400 30567660508800 31133728296000 33624426559680 35025444333000 37360473955200 38209575636000 42030533199600 46700592444000 50946100848000 52538166499500 54232946064000 56040710932800 62267456592000 67248853119360 70050888666000 76419151272000 84061066399200 93401184888000 105076332999000 112081421865600 140101777332000 152838302544000 168122132798400 186802369776000 210152665998000 280203554664000 336244265596800 420305331996000 560407109328000 840610663992000 1681221327984000
- Sum of all divisors σ(n): 7059511911628800
- Sum of proper divisors (its aliquot sum) s(n): 5378290583644800
- 1681221327984000 is an abundant number, because the sum of its proper divisors (5378290583644800) is greater than itself. Its abundance is 3697069255660800
Bases of 1681221327984000
- Binary: 1011111100100001111110110000000101100010101100000002
- Hexadecimal: 0x5F90FD80B1580
- Base-36: GJXYEYU000
Squares and roots of 1681221327984000
- 1681221327984000 squared (16812213279840002) is 2826505153668284501504256000000
- 1681221327984000 cubed (16812213279840003) is 4751980748003813258642110717947899904000000000
-
The
square root of 1681221327984000 is 41002699.0329173331 -
The
cube root of 1681221327984000 is 118907.2395304941
Scales and comparisons
How big is 1681221327984000?- 1,681,221,327,984,000 seconds is equal to 53,457,637 years, 45 weeks, 2 days.
-
To count from 1 to 1,681,221,327,984,000 would take you about one hundred sixty million, three hundred seventy-two thousand, nine hundred thirteen 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 1681221327984000 cubic inches would be around 9908.9 feet tall.
Recreational maths with 1681221327984000
- 1681221327984000 backwards is 0004897231221861
- 1681221327984000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1681221327984000's digits is 54
- More coming soon!
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MLA style:
"Number 1681221327984000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 1681221327984000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/1681221327984000/
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Numbermatics. 2024. "Number 1681221327984000 - Facts about the integer". https://numbermatics.com/n/1681221327984000/
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