2004984009000
2,004,984,009,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 2004984009000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
2004984009000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 2004984009000:
23 × 36 × 53 × 72 × 372 × 41
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 37 × 37 × 41)See below for interesting mathematical facts about the number 2004984009000 from the Numbermatics database.
Names of 2004984009000
- Cardinal: 2004984009000 can be written as Two trillion, four billion, nine hundred eighty-four million, nine thousand.
Scientific notation
- Scientific notation: 2.004984009 × 1012
Factors of 2004984009000
Divisors of 2004984009000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 37 40 41 42 45 49 50 54 56 60 63 70 72 74 75 81 82 84 90 98 100 105 108 111 120 123 125 126 135 140 147 148 150 162 164 168 175 180 185 189 196 200 205 210 216 222 225 243 245 246 250 252 259 270 280 287 294 296 300 315 324 328 333 350 360 369 370 375 378 392 405 410 420 441 444 450 486 490 492 500 504 518 525 540 555 567 574 588 600 615 630 648 666 675 700 729 735 738 740 750 756 777 810 820 840 861 875 882 888 900 925 945 972 980 984 999 1000 1025 1036 1050 1080 1107 1110 1125 1134 1148 1176 1215 1225 1230 1260 1295 1323 1332 1350 1369 1400 1435 1458 1470 1476 1480 1500 1512 1517 1554 1575 1620 1640 1665 1701 1722 1750 1764 1800 1813 1845 1850 1890 1944 1960 1998 2009 2025 2050 2072 2100 2205 2214 2220 2250 2268 2296 2331 2430 2450 2460 2520 2583 2590 2625 2646 2664 2700 2738 2775 2835 2870 2916 2940 2952 2997 3000 3034 3075 3108 3150 3240 3321 3330 3375 3402 3444 3500 3528 3626 3645 3675 3690 3700 3780 3885 3969 3996 4018 4050 4100 4107 4200 4305 4410 4428 4440 4500 4536 4551 4625 4662 4725 4860 4900 4920 4995 5103 5125 5166 5180 5250 5292 5400 5439 5476 5535 5550 5670 5740 5832 5880 5994 6027 6068 6075 6125 6150 6216 6300 6475 6615 6642 6660 6750 6804 6845 6888 6993 7000 7175 7252 7290 7350 7380 7400 7560 7585 7749 7770 7875 7938 7992 8036 8100 8200 8214 8325 8505 8610 8820 8856 8991 9000 9065 9102 9225 9250 9324 9450 9583 9720 9800 9963 9990 10045 10125 10206 10250 10332 10360 10500 10584 10619 10878 10952 11025 11070 11100 11340 11480 11655 11907 11988 12054 12136 12150 12250 12300 12321 12600 12915 12950 13230 13284 13320 13500 13608 13653 13690 13875 13986 14175 14350 14504 14580 14700 14760 14985 15170 15375 15498 15540 15750 15876 16072 16200 16317 16428 16605 16650 17010 17220 17640 17982 18081 18130 18204 18225 18375 18450 18500 18648 18900 19166 19425 19845 19926 19980 20090 20250 20412 20500 20535 20664 20979 21000 21238 21525 21756 22050 22140 22200 22680 22755 23247 23310 23625 23814 23976 24108 24300 24500 24600 24642 24975 25515 25830 25900 26460 26568 26973 27000 27195 27306 27380 27675 27750 27972 28350 28700 28749 29160 29400 29889 29970 30135 30340 30375 30750 30996 31080 31500 31752 31857 32375 32634 32856 33075 33210 33300 34020 34225 34440 34965 35721 35875 35964 36162 36260 36408 36450 36750 36900 36963 37000 37800 37925 38332 38745 38850 39690 39852 39960 40180 40500 40824 40959 41000 41070 41625 41958 42476 42525 43050 43512 44100 44280 44955 45325 45510 46125 46494 46620 47250 47628 47915 48216 48600 48951 49000 49284 49815 49950 50225 51030 51660 51800 52920 53095 53946 54243 54390 54612 54760 55125 55350 55500 55944 56129 56700 57400 57498 58275 59535 59778 59940 60270 60680 60750 61500 61605 61992 62937 63000 63714 64575 64750 65268 66150 66420 66600 67081 68040 68265 68450 69741 69930 70875 71442 71750 71928 72324 72520 72900 73500 73800 73926 74333 74925 75850 76664 77490 77700 79380 79704 80360 81000 81585 81918 82140 83025 83250 83916 84952 85050 86100 86247 88200 89910 90405 90650 91020 91125 92250 92988 93240 94500 95256 95571 95830 97125 97902 98568 99225 99630 99900 100450 102060 102675 103320 104895 106190 107625 107892 108486 108780 109224 110250 110700 110889 111000 112258 113400 113775 114996 116235 116550 119070 119556 119880 120540 121500 122877 123000 123210 124875 125874 127428 127575 129150 129500 130536 132300 132840 134162 134865 135975 136530 136900 138375 139482 139860 141750 142884 143500 143745 144648 145800 146853 147000 147852 148666 149445 149850 150675 151700 154980 155400 158760 159285 162729 163170 163836 164280 165375 166050 166500 167832 168387 170100 171125 172200 172494 174825 178605 179820 180810 181300 182040 182250 184500 184815 185976 188811 189000 189625 191142 191660 193725 194250 195804 198450 199260 199800 200900 201243 204120 204795 205350 209223 209790 212380 212625 215250 215784 216972 217560 220500 221400 221778 222999 224516 224775 226625 227550 229992 232470 233100 238140 239112 239575 241080 243000 244755 245754 246420 249075 249750 251125 251748 254856 255150 258300 258741 259000 264600 265475 268324 269730 271215 271950 273060 273800 276750 278964 279720 280645 283500 285768 286713 287000 287490 291375 293706 295704 297332 297675 298890 299700 301350 303400 308025 309960 314685 318570 322875 325458 326340 327672 330750 332100 332667 333000 335405 336774 340200 341325 342250 344988 348705 349650 357210 359640 361620 362600 364500 368631 369000 369630 371665 374625 377622 379250 382284 383320 387450 388500 391608 392903 396900 398520 401800 402486 407925 409590 410700 415125 418446 419580 424760 425250 430500 431235 433944 440559 441000 443556 445998 449032 449550 452025 453250 455100 464940 466200 476280 477855 479150 488187 489510 491508 492840 496125 498150 499500 502250 503496 505161 510300 513375 516600 517482 524475 530950 536648 539460 542430 543900 546120 553500 554445 557928 561290 567000 568875 573426 574980 581175 582750 587412 594664 595350 597780 599400 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7072254 7144200 7167825 7187250 7244748 7322805 7342650 7372620 7392600 7433300 7472250 7552440 7577415 7741251 7749000 7762230 7858060 7867125 7964250 7984008 8027964 8049720 8136450 8158500 8191800 8250963 8316675 8368920 8385125 8419350 8601390 8624700 8717625 8811180 8847144 8919960 8930250 8991000 9040500 9055935 9092898 9215775 9240750 9291625 9314676 9429672 9440550 9557100 9583000 9763740 9790200 9822575 9963000 9980010 10034955 10062150 10103220 10239750 10321668 10349640 10461150 10489500 10573416 10608381 10619000 10780875 10848600 10867122 11001284 11013975 11058930 11088900 11149950 11225800 11468520 11623500 11643345 11716488 11787090 11907000 11946375 12041946 12074580 12123864 12204675 12237750 12287700 12321000 12587400 12629025 12902085 12937050 13216770 13306680 13379940 13416200 13486500 13560750 13639347 13653000 13751605 13861125 13948200 13972014 14032250 14144508 14335650 14374500 14489496 14645610 14685300 14745240 14866600 14944500 15093225 15154830 15359625 15482502 15524460 15716120 15734250 15928500 16055928 16272900 16300683 16317000 16501926 16633350 16724925 16770250 16838700 17202780 17249400 17435250 17622360 17680635 17860500 18062919 18081000 18111870 18185796 18356625 18431550 18481500 18583250 18629352 18881100 19114200 19405575 19527480 19645150 19960020 20069910 20124300 20206440 20341125 20479500 20643336 20922300 20979000 21048375 21216762 21503475 21561750 21734244 22002568 22027950 22117860 22177800 22299900 22732245 23247000 23286690 23574180 23601375 23892750 24083892 24149160 24409350 24475500 24575400 24752889 24950025 25155375 25258050 25804170 25874100 26152875 26433540 26759880 26973000 27121500 27167805 27278694 27503210 27647325 27722250 27874875 27944028 28064500 28289016 28671300 28749000 29291220 29370600 29467725 29889000 30104865 30186450 30309660 30719250 30965004 31048920 31468500 31825143 31857000 32342625 32545800 32601366 33003852 33041925 33266700 33449850 33540500 33677400 34405560 34870500 34930035 35361270 35721000 35839125 36125838 36223740 36371592 36614025 36713250 36863100 36963000 37166500 37762200 37887075 38706255 38811150 39290300 39920040 40139820 40248600 40682250 40918041 40959000 41254815 41583375 41844600 42096750 42433524 43006950 43123500 43468488 44055900 44235720 44599800 45279675 45464490 46078875 46573380 47148360 47202750 47785500 48167784 48818700 48902049 48951000 49112875 49505778 49900050 50174775 50310750 50516100 51608340 51748200 52305750 52867080 53041905 54188757 54243000 54335610 54557388 55006420 55069875 55294650 55444500 55749750 55888056 56129000 57342600 58216725 58582440 58935450 60209730 60372900 60619320 61023375 61438500 61930008 62937000 63145125 63650286 64510425 64685250 65202732 66007704 66083850 66533400 66899700 67081000 68196735 68758025 69741000 69860070 70722540 71678250 72251676 72447480 73228050 73426500 73726200 74258667 74333000 75466125 75774150 77412510 77622300 78580600 80279640 81364500 81503415 81836082 82509630 83166750 83624625 84193500 84867048 86013900 86247000 88111800 88403175 90314595 90559350 90928980 92157750 93146760 94405500 95475429 95571000 97027875 97637400 97804098 98225750 99011556 99800100 100349550 100621500 101032200 103216680 104611500 106083810 107517375 108377514 108671220 109114776 110012840 110139750 110589300 110889000 111499500 113661225 116433450 117870900 120419460 120745800 122046750 122877000 123764445 124750125 126290250 127300572 129020850 129370500 130405464 132167700 133799400 135839025 136393470 137516050 138236625 139720140 141445080 143356500 144503352 146456100 146853000 147338625 148517334 150524325 150932250 151548300 154825020 155244600 159125715 162729000 163006830 163672164 165019260 165209625 166333500 167249250 168387000 172027800 174650175 176806350 180629190 181118700 181857960 183070125 184315500 188811000 189435375 190950858 193531275 194055750 195608196 196451500 198023112 199600200 200699100 201243000 204590205 206274075 209223000 212167620 215034750 216755028 217342440 220279500 221178600 222776001 222999000 226398375 227322450 232866900 235741800 240838920 244093500 244510245 247528890 249500250 250873875 252580500 254601144 258041700 258741000 264335400 265209525 270943785 271678050 272786940 275032100 276473250 279440280 286426287 286713000 291083625 292912200 294677250 297034668 301048650 301864500 303096600 309650040 318251430 322552125 326013660 327344328 330038520 330419250 332667000 334498500 340983675 343790125 349300350 353612700 361258380 362237400 366140250 368631000 371293335 378870750 381901716 387062550 388111500 391216392 392903000 401398200 407517075 409180410 412548150 424335240 430069500 433510056 440559000 442015875 445552002 451572975 452796750 454644900 465733800 477377145 488187000 489020490 495057780 499000500 501747750 505161000 516083400 530419050 541887570 543356100 545573880 550064200 552946500 568306125 572852574 582167250 589354500 594069336 602097300 603729000 618822225 636502860 645104250 652027320 660838500 668328003 668997000 679195125 681967350 687580250 698600700 707225400 722516760 732280500 742586670 752621625 757741500 763803432 774125100 776223000 795628575 815034150 818360820 825096300 860139000 873250875 884031750 891104004 903145950 905593500 909289800 954754290 967656375 978040980 990115560 998001000 1003495500 1022951025 1031370375 1060838100 1083775140 1086712200 1105893000 1113880005 1136612250 1145705148 1164334500 1178709000 1204194600 1222551225 1237644450 1273005720 1290208500 1321677000 1326047625 1336656006 1354718925 1358390250 1363934700 1375160500 1397201400 1432131435 1464561000 1485173340 1505243250 1515483000 1548250200 1591257150 1630068300 1636721640 1650192600 1704918375 1746501750 1768063500 1782208008 1806291900 1811187000 1856466675 1909508580 1935312750 1956081960 2004984009 2006991000 2037585375 2045902050 2062740750 2121676200 2167550280 2227760010 2257864875 2273224500 2291410296 2328669000 2386885725 2445102450 2475288900 2580417000 2652095250 2673312012 2709437850 2716780500 2727869400 2750321000 2864262870 2970346680 3010486500 3094111125 3182514300 3260136600 3341640015 3409836750 3493003500 3536127000 3612583800 3712933350 3819017160 3870625500 3978142875 4009968018 4075170750 4091804100 4125481500 4455520020 4515729750 4546449000 4773771450 4890204900 4950577800 5114755125 5304190500 5346624024 5418875700 5433561000 5569400025 5728525740 6020973000 6112756125 6188222250 6365028600 6683280030 6773594625 6819673500 6986007000 7160657175 7425866700 7741251000 7956285750 8019936036 8150341500 8183608200 8250963000 8911040040 9031459500 9282333375 9547542900 9780409800 10024920045 10229510250 10608381000 10837751400 11138800050 11457051480 11934428625 12225512250 12376444500 13366560060 13547189250 13639347000 14321314350 14851733400 15912571500 16039872072 16300683000 16708200075 18062919000 18564666750 19095085800 20049840090 20459020500 22277600100 23868857250 24451024500 24752889000 26733120120 27094378500 27847000125 28642628700 31825143000 33416400150 35803285875 37129333500 40099680180 40918041000 44555200200 47737714500 48902049000 50124600225 54188757000 55694000250 57285257400 66832800300 71606571750 74258667000 80199360360 83541000375 95475429000 100249200450 111388000500 133665600600 143213143500 167082000750 200498400900 222776001000 250623001125 286426287000 334164001500 400996801800 501246002250 668328003000 1002492004500 2004984009000
- Sum of all divisors σ(n): 8614979787960
- Sum of proper divisors (its aliquot sum) s(n): 6609995778960
- 2004984009000 is an abundant number, because the sum of its proper divisors (6609995778960) is greater than itself. Its abundance is 4605011769960
Bases of 2004984009000
- Binary: 111010010110100100101110000010001001010002
- Hexadecimal: 0x1D2D25C1128
- Base-36: PL2RPMI0
Squares and roots of 2004984009000
- 2004984009000 squared (20049840090002) is 4019960876345712081000000
- 2004984009000 cubed (20049840090003) is 8059957273878779078123112729000000000
-
The
square root of 2004984009000 is 1415974.5792209691 -
The
cube root of 2004984009000 is 12609.6675804749
Scales and comparisons
How big is 2004984009000?- 2,004,984,009,000 seconds is equal to 63,752 years, 15 weeks, 10 hours, 30 minutes.
-
To count from 1 to 2,004,984,009,000 would take you about one hundred fifty-nine thousand, three hundred eighty 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 2004984009000 cubic inches would be around 1050.8 feet tall.
Recreational maths with 2004984009000
- 2004984009000 backwards is 0009004894002
- 2004984009000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2004984009000's digits is 36
- More coming soon!
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"Number 2004984009000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 2004984009000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/2004984009000/
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The information we have on file for 2004984009000 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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