3980628679680
3,980,628,679,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 3980628679680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
3980628679680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 3980628679680:
210 × 33 × 5 × 232 × 29 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 23 × 29 × 1877)See below for interesting mathematical facts about the number 3980628679680 from the Numbermatics database.
Names of 3980628679680
- Cardinal: 3980628679680 can be written as Three trillion, nine hundred eighty billion, six hundred twenty-eight million, six hundred seventy-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.98062867968 × 1012
Factors of 3980628679680
Divisors of 3980628679680
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 29 30 32 36 40 45 46 48 54 58 60 64 69 72 80 87 90 92 96 108 115 116 120 128 135 138 144 145 160 174 180 184 192 207 216 230 232 240 256 261 270 276 288 290 320 345 348 360 368 384 414 432 435 460 464 480 512 522 529 540 552 576 580 621 640 667 690 696 720 736 768 783 828 864 870 920 928 960 1024 1035 1044 1058 1080 1104 1152 1160 1242 1280 1305 1334 1380 1392 1440 1472 1536 1566 1587 1656 1728 1740 1840 1856 1877 1920 2001 2070 2088 2116 2160 2208 2304 2320 2484 2560 2610 2645 2668 2760 2784 2880 2944 3072 3105 3132 3174 3312 3335 3456 3480 3680 3712 3754 3840 3915 4002 4140 4176 4232 4320 4416 4608 4640 4761 4968 5120 5220 5290 5336 5520 5568 5631 5760 5888 6003 6210 6264 6348 6624 6670 6912 6960 7360 7424 7508 7680 7830 7935 8004 8280 8352 8464 8640 8832 9216 9280 9385 9522 9936 10005 10440 10580 10672 11040 11136 11262 11520 11776 12006 12420 12528 12696 13248 13340 13824 13920 14283 14720 14848 15016 15341 15360 15660 15870 16008 16560 16704 16893 16928 17280 17664 18009 18560 18770 19044 19872 20010 20880 21160 21344 22080 22272 22524 23040 23552 23805 24012 24840 25056 25392 26496 26680 27648 27840 28155 28566 29440 29696 30015 30032 30682 31320 31740 32016 33120 33408 33786 33856 34560 35328 36018 37120 37540 38088 39744 40020 41760 42320 42688 43171 44160 44544 45048 46023 46080 47610 48024 49680 50112 50679 50784 52992 53360 54433 55680 56310 57132 58880 60030 60064 61364 62640 63480 64032 66240 66816 67572 67712 69120 70656 71415 72036 74240 75080 76176 76705 79488 80040 83520 84465 84640 85376 86342 88320 89088 90045 90096 92046 95220 96048 99360 100224 101358 101568 105984 106720 108866 111360 112620 114264 117760 120060 120128 122728 125280 126960 128064 129513 132480 133632 135144 135424 138069 138240 142830 144072 148480 150160 152352 153410 158976 160080 163299 167040 168930 169280 170752 172684 176640 180090 180192 184092 190440 192096 198720 200448 202716 203136 211968 213440 215855 217732 222720 225240 228528 230115 240120 240256 245456 250560 253395 253920 256128 259026 264960 267264 270288 270848 272165 276138 285660 288144 300320 304704 306820 317952 320160 326598 334080 337860 338560 341504 345368 353280 360180 360384 368184 380880 384192 388539 397440 400896 405432 406272 414207 426880 431710 435464 445440 450480 457056 460230 480240 480512 489897 490912 501120 506790 507840 512256 518052 529920 540576 541696 544330 552276 571320 576288 600640 609408 613640 635904 640320 647565 653196 668160 675720 677120 683008 690345 690736 720360 720768 736368 761760 768384 777078 794880 801792 810864 812544 816495 828414 853760 863420 870928 900960 914112 920460 960480 961024 979794 981824 992933 1002240 1013580 1015680 1024512 1036104 1059840 1081152 1088660 1104552 1142640 1152576 1165617 1201280 1218816 1227280 1251959 1280640 1295130 1306392 1336320 1351440 1354240 1380690 1381472 1440720 1441536 1469691 1472736 1523520 1536768 1554156 1589760 1621728 1625088 1632990 1656828 1707520 1726840 1741856 1801920 1828224 1840920 1920960 1922048 1942695 1959588 1963648 1985866 2004480 2027160 2031360 2049024 2071035 2072208 2162304 2177320 2209104 2285280 2305152 2331234 2402560 2437632 2449485 2454560 2503918 2561280 2590260 2612784 2702880 2708480 2761380 2762944 2881440 2883072 2939382 2945472 2978799 3047040 3073536 3108312 3179520 3243456 3265980 3313656 3415040 3453680 3483712 3603840 3656448 3681840 3755877 3841920 3885390 3919176 3927296 3971732 4008960 4054320 4062720 4142070 4144416 4324608 4354640 4418208 4570560 4610304 4662468 4805120 4875264 4898970 4909120 4964665 5007836 5122560 5180520 5225568 5405760 5522760 5525888 5762880 5766144 5828085 5878764 5890944 5957598 6094080 6147072 6216624 6259795 6486912 6531960 6627312 6907360 6967424 7207680 7312896 7348455 7363680 7511754 7683840 7770780 7838352 7854592 7943464 8108640 8125440 8284140 8288832 8649216 8709280 8836416 8936397 9141120 9220608 9324936 9610240 9797940 9818240 9929330 10015672 10245120 10361040 10451136 10811520 11045520 11051776 11267631 11525760 11656170 11757528 11781888 11915196 12188160 12433248 12519590 12973824 13063920 13254624 13814720 13934848 14415360 14625792 14696910 14727360 14893995 15023508 15367680 15541560 15676704 15709184 15886928 16217280 16568280 16577664 17298432 17418560 17672832 17872794 18282240 18441216 18649872 18779385 19595880 19636480 19858660 20031344 20722080 20902272 21623040 22091040 22103552 22535262 23051520 23312340 23515056 23563776 23830392 24376320 24866496 25039180 25947648 26127840 26509248 26809191 27629440 27869696 28795057 28830720 29393820 29454720 29787990 30047016 30735360 31083120 31353408 31773856 32434560 33136560 33155328 33802893 34837120 35345664 35745588 36564480 37299744 37558770 39191760 39272960 39717320 40062688 41444160 41804544 43246080 44182080 44207104 44681985 45070524 46103040 46624680 47030112 47127552 47660784 49732992 50078360 51895296 52255680 53018496 53618382 55258880 55739392 56338155 57590114 58787640 58909440 59575980 60094032 62166240 62706816 63547712 64869120 66273120 66310656 67605786 69674240 70691328 71491176 73128960 74599488 75117540 78383520 78545920 79434640 80125376 82888320 83609088 86385171 86492160 88364160 89363970 90141048 92206080 93249360 94060224 95321568 99465984 100156720 104511360 106036992 107236764 110517760 112676310 115180228 117575280 117818880 119151960 120188064 124332480 125413632 127095424 129738240 132546240 132621312 134045955 135211572 139348480 141382656 142982352 143975285 149198976 150235080 156767040 158869280 160250752 165776640 167218176 169014465 172770342 176728320 178727940 180282096 186498720 188120448 190643136 198931968 200313440 209022720 212073984 214473528 221035520 225352620 230360456 235150560 235637760 238303920 240376128 248664960 250827264 254190848 259155513 259476480 265092480 268091910 270423144 278696960 285964704 287950570 298397952 300470160 313534080 317738560 320501504 331553280 338028930 345540684 353456640 357455880 360564192 372997440 376240896 381286272 397863936 400626880 418045440 424147968 428947056 431925855 450705240 460720912 470301120 476607840 480752256 497329920 501654528 508381696 518311026 530184960 536183820 540846288 571929408 575901140 596795904 600940320 627068160 635477120 641003008 663106560 676057860 691081368 706913280 714911760 721128384 745994880 752481792 762572544 777466539 801253760 836090880 857894112 863851710 901410480 921441824 940602240 953215680 961504512 994659840 1016763392 1036622052 1060369920 1072367640 1081692576 1143858816 1151802280 1193591808 1201880640 1254136320 1270954240 1282006016 1295777565 1352115720 1382162736 1429823520 1442256768 1491989760 1504963584 1525145088 1554933078 1602507520 1715788224 1727703420 1802820960 1842883648 1881204480 1906431360 1923009024 1989319680 2073244104 2120739840 2144735280 2163385152 2287717632 2303604560 2403761280 2508272640 2541908480 2591555130 2704231440 2764325472 2859647040 2884513536 2983979520 3050290176 3109866156 3205015040 3431576448 3455406840 3605641920 3685767296 3762408960 3812862720 3846018048 3887332695 4146488208 4289470560 4326770304 4575435264 4607209120 4807522560 5083816960 5183110260 5408462880 5528650944 5719294080 5769027072 5967959040 6219732312 6410030080 6863152896 6910813680 7211283840 7371534592 7524817920 7625725440 7774665390 8292976416 8578941120 8653540608 9150870528 9214418240 9615045120 10366220520 10816925760 11057301888 11438588160 11538054144 12439464624 13726305792 13821627360 14422567680 14743069184 15251450880 15549330780 16585952832 17157882240 17307081216 18428836480 19230090240 20732441040 21633851520 22114603776 22877176320 24878929248 27452611584 27643254720 28845135360 29486138368 31098661560 33171905664 34315764480 34614162432 36857672960 41464882080 43267703040 44229207552 45754352640 49757858496 55286509440 57690270720 62197323120 66343811328 68631528960 73715345920 82929764160 86535406080 88458415104 99515716992 110573018880 124394646240 132687622656 137263057920 147430691840 165859528320 173070812160 199031433984 221146037760 248789292480 265375245312 331719056640 398062867968 442292075520 497578584960 663438113280 796125735936 995157169920 1326876226560 1990314339840 3980628679680
- Sum of all divisors σ(n): 15306329505600
- Sum of proper divisors (its aliquot sum) s(n): 11325700825920
- 3980628679680 is an abundant number, because the sum of its proper divisors (11325700825920) is greater than itself. Its abundance is 7345072146240
Bases of 3980628679680
- Binary: 1110011110110011111111010101011100000000002
- Hexadecimal: 0x39ECFF55C00
- Base-36: 1ESOBJEO0
Squares and roots of 3980628679680
- 3980628679680 squared (39806286796802) is 15845404685490940044902400
- 3980628679680 cubed (39806286796803) is 63074672332201086323541880426463232000
-
The
square root of 3980628679680 is 1995151.2924287221 -
The
cube root of 3980628679680 is 15848.3439969031
Scales and comparisons
How big is 3980628679680?- 3,980,628,679,680 seconds is equal to 126,571 years, 35 weeks, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 3,980,628,679,680 would take you about three hundred sixteen thousand, four hundred twenty-nine 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 3980628679680 cubic inches would be around 1320.7 feet tall.
Recreational maths with 3980628679680
- 3980628679680 backwards is 0869768260893
- 3980628679680 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3980628679680's digits is 72
- More coming soon!
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The information we have on file for 3980628679680 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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