2004122036384000
2,004,122,036,384,000 is an even composite number composed of seven prime numbers multiplied together.
2004122036384000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 2004122036384000:
28 × 53 × 13 × 17 × 53 × 157 × 34057
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 53 × 157 × 34057)See below for interesting mathematical facts about the number 2004122036384000 from the Numbermatics database.
Names of 2004122036384000
- Cardinal: 2004122036384000 can be written as Two quadrillion, four trillion, one hundred twenty-two billion, thirty-six million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.004122036384 × 1015
Factors of 2004122036384000
Divisors of 2004122036384000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 53 64 65 68 80 85 100 104 106 125 128 130 136 157 160 170 200 208 212 221 250 256 260 265 272 314 320 325 340 400 416 424 425 442 500 520 530 544 628 640 650 680 689 785 800 832 848 850 884 901 1000 1040 1060 1088 1105 1256 1280 1300 1325 1360 1378 1570 1600 1625 1664 1696 1700 1768 1802 2000 2041 2080 2120 2125 2176 2210 2512 2600 2650 2669 2720 2756 3140 3200 3250 3328 3392 3400 3445 3536 3604 3925 4000 4082 4160 4240 4250 4352 4420 4505 5024 5200 5300 5338 5440 5512 5525 6280 6400 6500 6625 6784 6800 6890 7072 7208 7850 8000 8164 8320 8321 8480 8500 8840 9010 10048 10205 10400 10600 10676 10880 11024 11050 11713 12560 13000 13250 13345 13568 13600 13780 14144 14416 15700 16000 16328 16640 16642 16960 17000 17225 17680 18020 19625 20096 20410 20800 21200 21352 21760 22048 22100 22525 23426 25120 26000 26500 26690 27200 27560 27625 28288 28832 31400 32000 32656 33284 33920 34000 34057 34450 34697 35360 36040 39250 40192 40820 41600 41605 42400 42704 44096 44200 45050 46852 50240 51025 52000 53000 53380 54400 55120 55250 56576 57664 58565 62800 65312 66568 66725 67840 68000 68114 68900 69394 70720 72080 78500 81640 83200 83210 84800 85408 86125 88192 88400 90100 93704 100480 102050 104000 106000 106760 108173 108800 110240 110500 112625 115328 117130 125600 130624 133136 133450 136000 136228 137800 138788 141440 141457 144160 157000 163280 166420 169600 170285 170816 172250 173485 176384 176800 180200 187408 200960 204100 208000 208025 212000 213520 216346 220480 221000 225250 230656 234260 251200 255125 261248 266272 266900 272000 272456 275600 277576 282880 282914 288320 292825 314000 326560 332840 333625 339200 340570 341632 344500 346970 353600 360400 374816 408200 416000 416050 424000 427040 432692 440960 442000 442741 450500 468520 502400 510250 522496 532544 533800 540865 544000 544912 551200 555152 565828 576640 578969 585650 628000 653120 665680 667250 681140 683264 689000 693940 707200 707285 720800 749632 816400 832100 848000 851425 854080 865384 867425 881920 884000 885482 901000 937040 1004800 1020500 1040125 1065088 1067600 1081730 1089824 1102400 1110304 1131656 1153280 1157938 1171300 1256000 1306240 1331360 1334500 1362280 1378000 1387880 1414400 1414570 1441600 1464125 1499264 1632800 1664200 1696000 1702850 1708160 1730768 1734850 1768000 1770964 1802000 1805021 1838941 1874080 2041000 2080250 2130176 2135200 2163460 2179648 2204800 2213705 2220608 2263312 2315876 2342600 2512000 2612480 2662720 2669000 2704325 2724560 2756000 2775760 2829140 2883200 2894845 2928250 2998528 3265600 3328400 3405700 3416320 3461536 3469700 3536000 3536425 3541928 3604000 3610042 3677882 3748160 4082000 4160500 4257125 4270400 4326920 4337125 4359296 4409600 4427410 4441216 4526624 4631752 4685200 5024000 5325440 5338000 5346949 5408650 5449120 5512000 5551520 5658280 5766400 5789690 5856500 6531200 6656800 6811400 6923072 6939400 7072000 7072850 7083856 7208000 7220084 7355764 7496320 7526597 8164000 8321000 8514250 8540800 8653840 8674250 8718592 8854820 8882432 9025105 9053248 9194705 9263504 9370400 10650880 10676000 10693898 10817300 10898240 11024000 11068525 11103040 11316560 11579380 11713000 13062400 13313600 13521625 13622800 13846144 13878800 14145700 14167712 14416000 14440168 14474225 14711528 14992640 15053194 16328000 16642000 17028500 17081600 17307680 17348500 17682125 17709640 18050210 18106496 18389410 18527008 18740800 21352000 21387796 21634600 21796480 22048000 22137050 22206080 22633120 23158760 23426000 23465273 26627200 26734745 27043250 27245600 27692288 27757600 28291400 28335424 28832000 28880336 28948450 29423056 30106388 30685357 32656000 33284000 34057000 34615360 34697000 35364250 35419280 36100420 36212992 36778820 37054016 37481600 37632985 42704000 42775592 43269200 43592960 44274100 44412160 45125525 45266240 45973525 46317520 46852000 46930546 53254400 53469490 54086500 54491200 55342625 55515200 56582800 56670848 57760672 57896900 58846112 60212776 61370714 65312000 66568000 68114000 69230720 69394000 69510337 70728500 70838560 72200840 72371125 73557640 74108032 74963200 75265970 85408000 85551184 86538400 88548200 90251050 90532480 90898133 91947050 92635040 93704000 93861092 106938980 108173000 108982400 110685250 111030400 113165600 113341696 115521344 115793800 117326365 117692224 120425552 122741428 133136000 133673725 136228000 138461440 138788000 139020674 141457000 141677120 144401680 144742250 147115280 148216064 150531940 153426785 171102368 173076800 177096400 180502100 181064960 181796266 183894100 185270080 187408000 187722184 188164925 213877960 216346000 217964800 221370500 222060800 225627625 226331200 229867625 231042688 231587600 234652730 235384448 240851104 245482856 266272000 267347450 272456000 277576000 278041348 282914000 283354240 283388297 288803360 289484500 294230560 301063880 306853570 342204736 346153600 347551685 354192800 361004200 363592532 367788200 370540160 374816000 375444368 376329850 398909641 427755920 432692000 442741000 451255250 452662400 454490665 459735250 462085376 463175200 469305460 470768896 481702208 490965712 534694900 544912000 555152000 556082696 565828000 566708480 566776594 577606720 578969000 586631825 588461120 602127760 613707140 668368625 684409472 692307200 695103370 708385600 722008400 727185064 735576400 741080320 750888736 752659700 767133925 797819282 855511840 865384000 885482000 902510500 905324800 908981330 919470500 926350400 938610920 940824625 963404416 981931424 1069389800 1089824000 1110304000 1112165392 1131656000 1133553188 1155213440 1157938000 1173263650 1176922240 1181675729 1204255520 1227414280 1336737250 1368818944 1390206740 1416771200 1416941485 1444016800 1454370128 1471152800 1501777472 1505319400 1534267850 1595638564 1711023680 1730768000 1737758425 1770964000 1805021000 1817962660 1838941000 1852700800 1877221840 1881649250 1926808832 1963862848 1994548205 2138779600 2224330784 2263312000 2267106376 2272453325 2310426880 2315876000 2346527300 2353844480 2363351458 2408511040 2454828560 2673474500 2780413480 2833542400 2833882970 2888033600 2908740256 2933159125 2942305600 3003554944 3010638800 3068535700 3191277128 3422047360 3461536000 3475516850 3541928000 3610042000 3635925320 3677882000 3684047861 3705401600 3754443680 3763298500 3835669625 3927725696 3989096410 4277559200 4448661568 4526624000 4534212752 4544906650 4631752000 4693054600 4726702916 4817022080 4817601049 4909657120 5346949000 5560826960 5667765940 5776067200 5817480512 5866318250 5884611200 5908378645 6007109888 6021277600 6137071400 6382554256 6844094720 6951033700 7083856000 7084707425 7220084000 7271850640 7355764000 7368095722 7508887360 7526597000 7671339250 7855451392 7978192820 8555118400 8688792125 8897323136 9068425504 9089813300 9263504000 9386109200 9453405832 9634044160 9635202098 9819314240 9972741025 10693898000 11121653920 11335531880 11362266625 11552134400 11634961024 11732636500 11769222400 11816757290 12042555200 12274142800 12765108512 13902067400 14167712000 14169414850 14440168000 14543701280 14711528000 14736191444 15017774720 15053194000 15342678500 15956385640 17110236800 17377584250 17794646272 18136851008 18179626600 18420239305 18527008000 18772218400 18906811664 19270404196 19638628480 19945482050 21387796000 22243307840 22671063760 22724533250 23269922048 23465273000 23633514580 24085110400 24088005245 24548285600 25530217024 27804134800 28338829700 28880336000 29087402560 29423056000 29472382888 29541893225 30035549440 30106388000 30685357000 31912771280 34220473600 34755168500 35423537125 36273702016 36359253200 36840478610 37544436800 37813623328 38540808392 39277256960 39890964100 42775592000 44486615680 45342127520 45449066500 46930546000 47267029160 48170220800 48176010490 49096571200 49863705125 51060434048 55608269600 56677659400 57760672000 58174805120 58846112000 58944765776 59083786450 60212776000 61370714000 62628813637 63825542560 69510337000 70847074250 72547404032 72718506400 73680957220 75088873600 75627246656 77081616784 79781928200 85551184000 88973231360 90684255040 90898133000 92101196525 93861092000 94534058320 96352020980 98193142400 99727410250 102120868096 111216539200 113355318800 116349610240 117889531552 118167572900 120425552000 120440026225 122741428000 125257627274 127651085120 139020674000 141694148500 145437012800 147361914440 147709466125 150177747200 151254493312 154163233568 159563856400 171102368000 181368510080 181796266000 184202393050 187722184000 189068116640 192704041960 196386284800 199454820500 222433078400 226710637600 235779063104 236335145800 240851104000 240880052450 245482856000 250515254548 255302170240 278041348000 283388297000 290874025600 294723828880 295418932250 302508986624 308326467136 313144068185 319127712800 362737020160 363592532000 368404786100 375444368000 378136233280 385408083920 398909641000 444866156800 453421275200 460505982625 471558126208 472670291600 481760104900 490965712000 501030509096 510604340480 556082696000 566776594000 581748051200 589447657760 590837864500 602200131125 616652934272 626288136370 638255425600 727185064000 736809572200 750888736000 756272466560 770816167840 797819282000 906842550400 921011965250 943116252416 945340583200 963520209800 981931424000 1002061018192 1112165392000 1133553188000 1178895315520 1181675729000 1204400262250 1233305868544 1252576272740 1276510851200 1454370128000 1473619144400 1512544933120 1541632335680 1565720340925 1595638564000 1813685100800 1842023930500 1890681166400 1927040419600 2004122036384 2224330784000 2267106376000 2357790631040 2363351458000 2408800524500 2505152545480 2553021702400 2908740256000 2947238288800 3083264671360 3131440681850 3191277128000 3684047861000 3781362332800 3854080839200 4008244072768 4534212752000 4715581262080 4726702916000 4817601049000 5010305090960 5894476577600 6166529342720 6262881363700 6382554256000 7368095722000 7562724665600 7708161678400 7828601704625 8016488145536 9068425504000 9453405832000 9635202098000 10020610181920 11788953155200 12525762727400 12765108512000 14736191444000 15416323356800 15657203409250 16032976291072 18906811664000 19270404196000 20041220363840 23577906310400 25051525454800 29472382888000 30832646713600 31314406818500 37813623328000 38540808392000 40082440727680 50103050909600 58944765776000 62628813637000 77081616784000 80164881455360 100206101819200 117889531552000 125257627274000 154163233568000 200412203638400 250515254548000 400824407276800 501030509096000 1002061018192000 2004122036384000
- Sum of all divisors σ(n): 5837353943121792
- Sum of proper divisors (its aliquot sum) s(n): 3833231906737792
- 2004122036384000 is an abundant number, because the sum of its proper divisors (3833231906737792) is greater than itself. Its abundance is 1829109870353792
Bases of 2004122036384000
- Binary: 1110001111010111101000001100001000010110001000000002
- Hexadecimal: 0x71EBD0610B100
- Base-36: JQEGYBKCU8
Squares and roots of 2004122036384000
- 2004122036384000 squared (20041220363840002) is 4016505136719951019795456000000
- 2004122036384000 cubed (20041220363840003) is 8049566453749984572113206773869871104000000000
-
The
square root of 2004122036384000 is 44767421.5963349849 -
The
cube root of 2004122036384000 is 126078.6029322087
Scales and comparisons
How big is 2004122036384000?- 2,004,122,036,384,000 seconds is equal to 63,724,881 years, 31 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 2,004,122,036,384,000 would take you about one hundred ninety-one million, one hundred seventy-four thousand, six hundred forty-four 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 2004122036384000 cubic inches would be around 10506.6 feet tall.
Recreational maths with 2004122036384000
- 2004122036384000 backwards is 0004836302214002
- The number of decimal digits it has is: 16
- The sum of 2004122036384000's digits is 35
- More coming soon!
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The information we have on file for 2004122036384000 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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