2004006830688000
2,004,006,830,688,000 is an even composite number composed of six prime numbers multiplied together.
2004006830688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2004006830688000:
28 × 32 × 53 × 43 × 79 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 43 × 79 × 127 × 127 × 127)See below for interesting mathematical facts about the number 2004006830688000 from the Numbermatics database.
Names of 2004006830688000
- Cardinal: 2004006830688000 can be written as Two quadrillion, four trillion, six billion, eight hundred thirty million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 2.004006830688 × 1015
Factors of 2004006830688000
Divisors of 2004006830688000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 79 80 86 90 96 100 120 125 127 128 129 144 150 158 160 172 180 192 200 215 225 237 240 250 254 256 258 288 300 316 320 344 360 375 381 384 387 395 400 430 450 474 480 500 508 516 576 600 632 635 640 645 688 711 720 750 762 768 774 790 800 860 900 948 960 1000 1016 1032 1075 1125 1143 1152 1185 1200 1264 1270 1280 1290 1376 1422 1440 1500 1524 1548 1580 1600 1720 1800 1896 1905 1920 1935 1975 2000 2032 2064 2150 2250 2286 2304 2370 2400 2528 2540 2580 2752 2844 2880 3000 3048 3096 3160 3175 3200 3225 3397 3440 3555 3600 3792 3810 3840 3870 3950 4000 4064 4128 4300 4500 4572 4740 4800 5056 5080 5160 5375 5461 5504 5688 5715 5760 5925 6000 6096 6192 6320 6350 6400 6450 6794 6880 7110 7200 7584 7620 7740 7900 8000 8128 8256 8600 9000 9144 9480 9525 9600 9675 9875 10033 10112 10160 10191 10320 10750 10922 11008 11376 11430 11520 11850 12000 12192 12384 12640 12700 12900 13588 13760 14220 14400 15168 15240 15480 15800 15875 16000 16125 16129 16256 16383 16512 16985 17200 17775 18000 18288 18960 19050 19200 19350 19750 20066 20224 20320 20382 20640 21500 21844 22752 22860 23700 24000 24384 24768 25280 25400 25800 27176 27305 27520 28440 28575 28800 29625 30099 30336 30480 30573 30960 31600 31750 32000 32250 32258 32512 32766 33024 33970 34400 35550 36000 36576 37920 38100 38700 39500 40132 40640 40764 41280 43000 43688 45504 45720 47400 47625 48000 48375 48387 48768 49149 49536 50165 50560 50800 50955 51600 54352 54610 55040 56880 57150 57600 59250 60198 60672 60960 61146 61920 63200 63500 64500 64516 65532 67940 68800 71100 72000 73152 75840 76200 77400 79000 80264 80645 81280 81528 81915 82560 84925 86000 87376 88875 90297 91008 91440 94800 95250 96000 96750 96774 97536 98298 99072 100330 101120 101600 101910 103200 108704 109220 113760 114300 118500 120396 121920 122292 123840 126400 127000 129000 129032 131064 135880 136525 137600 142200 142875 144000 145161 146304 150495 151680 152400 152865 154800 158000 160528 161290 162560 163056 163830 165120 169850 172000 174752 177750 180594 182016 182880 189600 190500 193500 193548 196596 200660 203200 203820 206400 217408 218440 227520 228600 237000 240792 241935 243840 244584 245745 247680 250825 252800 254000 254775 258000 258064 262128 271760 273050 275200 284400 285750 288000 290322 292608 300990 303360 304800 305730 309600 316000 321056 322580 326112 327660 339700 344000 349504 355500 361188 365760 379200 381000 387000 387096 393192 401320 403225 406400 407640 409575 412800 424625 431419 434816 436880 451485 455040 457200 474000 481584 483870 487680 489168 491490 495360 501650 505600 508000 509550 516000 516128 524256 543520 546100 568800 571500 580644 601980 609600 611460 619200 632000 642112 645160 652224 655320 679400 682625 688000 693547 699008 711000 722376 725805 731520 752475 758400 762000 764325 774000 774192 786384 802640 806450 812800 815280 819150 825600 849250 862838 869632 873760 902970 910080 914400 948000 963168 967740 978336 982980 1003300 1016000 1019100 1032000 1032256 1048512 1087040 1092200 1137600 1143000 1161288 1203960 1209675 1219200 1222920 1228725 1238400 1254125 1264000 1273875 1274191 1284224 1290320 1294257 1304448 1310640 1358800 1365250 1376000 1387094 1398016 1422000 1444752 1451610 1463040 1504950 1516800 1524000 1528650 1548000 1548384 1572768 1605280 1612900 1630560 1638300 1698500 1725676 1747520 1805940 1828800 1896000 1926336 1935480 1956672 1965960 2006600 2016125 2032000 2038200 2047875 2048383 2064000 2064512 2080641 2097024 2157095 2174080 2184400 2257425 2275200 2286000 2322576 2407920 2419350 2438400 2445840 2457450 2476800 2508250 2528000 2547750 2548382 2568448 2580640 2588514 2608896 2621280 2717600 2730500 2774188 2844000 2889504 2903220 3009900 3048000 3057300 3096000 3096768 3145536 3210560 3225800 3261120 3276600 3397000 3451352 3467735 3495040 3611880 3629025 3657600 3762375 3792000 3821625 3822573 3852672 3870960 3882771 3913344 3931920 4013200 4032250 4064000 4076400 4095750 4096766 4128000 4129024 4161282 4194048 4314190 4348160 4368800 4514850 4550400 4572000 4645152 4815840 4838700 4891680 4914900 5016500 5095500 5096764 5161280 5177028 5242560 5435200 5461000 5548376 5688000 5779008 5806440 6019800 6048375 6096000 6114600 6143625 6145149 6192000 6193536 6241923 6291072 6370955 6421120 6451600 6471285 6522240 6553200 6794000 6902704 6935470 6990080 7223760 7258050 7315200 7524750 7584000 7643250 7645146 7705344 7741920 7765542 7826688 7863840 8026400 8064500 8152800 8191500 8193532 8322564 8628380 8737600 9029700 9144000 9290304 9631680 9677400 9783360 9829800 10033000 10191000 10193528 10241915 10322560 10354056 10403205 10485120 10785475 10870400 10922000 11096752 11287125 11376000 11467719 11558016 11612880 12039600 12096750 12192000 12229200 12287250 12290298 12384000 12387072 12483846 12582144 12741910 12842240 12903200 12942570 13044480 13106400 13588000 13805408 13870940 14447520 14516100 15049500 15286500 15290292 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177548032 180594000 183483504 184354470 185806080 191128650 192633600 193548000 194138550 195667200 196596000 196644768 199741536 203870560 204838300 207081120 208064100 215709500 219160852 221935040 229354380 232257600 240792000 244584000 244644672 245805960 248497344 249676920 254838200 256047875 258064000 258851400 260080125 262128000 262193024 264241407 266322048 273951065 276108160 277418800 286692975 288950400 290322000 294967152 305805840 307257450 309676800 310621680 312096150 314553600 318547750 321056000 323564250 323644514 326112000 326192896 327741280 328741278 331329792 332902560 345135200 346773500 352321876 361188000 366967008 368708940 382257300 387096000 388277100 393192000 393289536 399483072 407741120 409676600 414162240 416128200 431419000 438321704 440402345 443870080 458708760 460886175 464515200 477821625 481584000 485346375 485466771 489168000 489289344 491611920 493111917 496994688 499353840 509676400 512095750 516128000 517702800 520160250 524256000 524386048 528482814 532644096 547902130 552216320 554837600 573385950 577900800 580644000 589934304 611611680 614514900 621243360 624192300 637095500 647128500 647289028 655482560 657482556 665805120 690270400 693547000 704643752 722376000 733934016 737417880 764514600 768143625 774192000 776554200 780240375 786384000 786579072 792724221 798966144 809111285 815482240 819353200 821853195 828324480 832256400 862838000 876643408 880804690 887740160 917417520 921772350 929030400 955643250 963168000 970692750 970933542 978336000 978578688 983223840 986223834 993989376 998707680 1019352800 1024191500 1035405600 1040320500 1056965628 1095804260 1109675200 1146771900 1161288000 1179868608 1223223360 1229029800 1242486720 1248384600 1274191000 1294257000 1294578056 1310965120 1314965112 1321207035 1331610240 1369755325 1380540800 1387094000 1409287504 1433464875 1444752000 1456400313 1467868032 1474835760 1529029200 1536287250 1548384000 1553108400 1560480750 1572768000 1573158144 1585448442 1597932288 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4993538400 5096764000 5177028000 5178312224 5259860448 5284828140 5479021300 5548376000 5637150016 5733859500 5825601252 5899343040 6116116800 6145149000 6212433600 6241923000 6341793768 6472890280 6554825600 6574825560 6606035175 6658051200 6848776625 6902704000 6958357051 7013147264 7046437520 7282001565 7339340160 7374178800 7645146000 7765542000 7767468336 7865790720 7889790672 7927242210 7989661440 8091112850 8154822400 8193532000 8218531950 8283244800 8322564000 8455725024 8766434080 8808046900 9174175200 9217723500 9709335420 9832238400 9862238340 9987076800 10193528000 10354056000 10356624448 10519720896 10569656280 10958042600 11010058625 11096752000 11274300032 11467719000 11651202504 11798686080 12136669275 12232233600 12290298000 12327797925 12424867200 12483846000 12683587536 12945780560 13109651200 13149651120 13212070350 13316102400 13697553250 13805408000 13916714102 14026294528 14092875040 14564003130 14678680320 14748357600 15290292000 15531084000 15534936672 15779581344 15854484420 16182225700 16387064000 16437063900 16645128000 16911450048 17532868160 17616093800 18348350400 18435447000 19418670840 19664476800 19724476680 19818105525 19974153600 20227782125 20387056000 20546329875 20708112000 20713248896 20875071153 21039441792 21139312560 21916085200 22020117250 22193504000 22548600064 22935438000 23302405008 23597372160 24273338550 24464467200 24580596000 24655595850 24849734400 24967692000 25367175072 25891561120 26299302240 26424140700 27395106500 27833428204 28185750080 29128006260 29496715200 30580584000 31062168000 31069873344 31559162688 31708968840 32364451400 32774128000 32874127800 33030175875 33290256000 33822900096 34791785255 35065736320 35232187600 36410007825 36696700800 36870894000 38837341680 39328953600 39448953360 39636211050 39948307200 40455564250 40774112000 41092659750 41416224000 41426497792 41750142306 42078883584 42278625120 43832170400 44040234500 45870876000 46604810016 48546677100 49161192000 49311191700 49935384000 50734350144 51783122240 52598604480 52848281400 54790213000 55666856408 56371500160 58256012520 58993430400 60683346375 61161168000 61638989625 62124336000 62139746688 62625213459 63118325376 63417937680 64728902800 65548256000 65748255600 66060351750 66580512000 67645800192 69583570510 70131472640 70464375200 72820015650 73393401600 73741788000 77674683360 78897906720 79272422100 80911128500 82185319500 83500284612 84557250240 87664340800 88080469000 91741752000 93209620032 97093354200 98322384000 98622383400 99090527625 99870768000 101468700288 103566244480 104375355765 105197208960 105696562800 109580426000 111333712816 112743000320 116512025040 117986860800 121366692750 122322336000 123277979250 124248672000 124279493376 125250426918 126236650752 126835875360 129457805600 131496511200 132120703500 139167141020 140928750400 145640031300 147483576000 155349366720 157795813440 158544844200 161822257000 164370639000 167000569224 169114500480 173958926275 175328681600 176160938000 182050039125 183483504000 186419240064 194186708400 196644768000 197244766800 198181055250 199741536000 202937400576 207132488960 208750711530 210394417920 211393125600 219160852000 222667425632 233024050080 242733385500 246555958500 250500853836 253671750720 258915611200 262993022400 264241407000 278334282040 281857500800 291280062600 294967152000 310698733440 313126067295 315591626880 317089688400 323644514000 328741278000 334001138448 338229000960 347917852550 350657363200 352321876000 364100078250 366967008000 372838480128 388373416800 394489533600 396362110500 417501423060 422786251200 438321704000 445334851264 466048100160 485466771000 493111917000 501001707672 507343501440 517831222400 521876778825 525986044800 528482814000 556668564080 563715001600 582560125200 589934304000 621397466880 626252134590 631183253760 634179376800 647289028000 657482556000 668002276896 695835705100 704643752000 728200156500 776746833600 788979067200 792724221000 835002846120 845572502400 869794631375 876643408000 890669702528 932096200320 970933542000 986223834000 1002003415344 1014687002880 1035662444800 1043753557650 1051972089600 1056965628000 1113337128160 1165120250400 1252504269180 1268358753600 1294578056000 1314965112000 1336004553792 1391671410200 1409287504000 1456400313000 1553493667200 1565630336475 1577958134400 1585448442000 1670005692240 1691145004800 1739589262750 1753286816000 1781339405056 1864192400640 1941867084000 1972447668000 2004006830688 2087507115300 2113931256000 2226674256320 2330240500800 2505008538360 2536717507200 2589156112000 2609383894125 2629930224000 2672009107584 2783342820400 2818575008000 2912800626000 3106987334400 3131260672950 3155916268800 3170896884000 3340011384480 3479178525500 3883734168000 3944895336000 4008013661376 4175014230600 4227862512000 4453348512640 4660481001600 5010017076720 5073435014400 5178312224000 5218767788250 5259860448000 5344018215168 5566685640800 5825601252000 6262521345900 6341793768000 6680022768960 6958357051000 7767468336000 7828151682375 7889790672000 8016027322752 8350028461200 8455725024000 8906697025280 9320962003200 10020034153440 10437535576500 11133371281600 11651202504000 12525042691800 12683587536000 13360045537920 13916714102000 15534936672000 15656303364750 15779581344000 16032054645504 16700056922400 20040068306880 20875071153000 22266742563200 23302405008000 25050085383600 25367175072000 26720091075840 27833428204000 31312606729500 33400113844800 40080136613760 41750142306000 44533485126400 46604810016000 50100170767200 55666856408000 62625213459000 66800227689600 80160273227520 83500284612000 100200341534400 111333712816000 125250426918000 133600455379200 167000569224000 200400683068800 222667425632000 250500853836000 334001138448000 400801366137600 501001707672000 668002276896000 1002003415344000 2004006830688000
- Sum of all divisors σ(n): 7531402380902400
- Sum of proper divisors (its aliquot sum) s(n): 5527395550214400
- 2004006830688000 is an abundant number, because the sum of its proper divisors (5527395550214400) is greater than itself. Its abundance is 3523388719526400
Bases of 2004006830688000
- Binary: 1110001111010100010001100110100010101000111000000002
- Hexadecimal: 0x71EA233454700
- Base-36: JQD0112GW0
Squares and roots of 2004006830688000
- 2004006830688000 squared (20040068306880002) is 4016043377444162298553344000000
- 2004006830688000 cubed (20040068306880003) is 8048178360737407033610984156744220672000000000
-
The
square root of 2004006830688000 is 44766134.8642922265 -
The
cube root of 2004006830688000 is 126076.1870361595
Scales and comparisons
How big is 2004006830688000?- 2,004,006,830,688,000 seconds is equal to 63,721,218 years, 21 weeks, 4 days, 8 hours.
-
To count from 1 to 2,004,006,830,688,000 would take you about one hundred ninety-one million, one hundred sixty-three thousand, six hundred fifty-five 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 2004006830688000 cubic inches would be around 10506.3 feet tall.
Recreational maths with 2004006830688000
- 2004006830688000 backwards is 0008860386004002
- 2004006830688000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2004006830688000's digits is 45
- More coming soon!
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"Number 2004006830688000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 2004006830688000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/2004006830688000/
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The information we have on file for 2004006830688000 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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