3982401287330400
3,982,401,287,330,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 3982401287330400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
3982401287330400 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 3982401287330400:
25 × 33 × 52 × 11 × 792 × 1393
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 79 × 79 × 139 × 139 × 139)See below for interesting mathematical facts about the number 3982401287330400 from the Numbermatics database.
Names of 3982401287330400
- Cardinal: 3982401287330400 can be written as Three quadrillion, nine hundred eighty-two trillion, four hundred one billion, two hundred eighty-seven million, three hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.9824012873304 × 1015
Factors of 3982401287330400
Divisors of 3982401287330400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 66 72 75 79 80 88 90 96 99 100 108 110 120 132 135 139 144 150 158 160 165 176 180 198 200 216 220 225 237 240 264 270 275 278 288 297 300 316 330 352 360 395 396 400 417 432 440 450 474 480 495 528 540 550 556 594 600 632 660 675 695 711 720 790 792 800 825 834 864 869 880 900 948 990 1056 1080 1100 1112 1185 1188 1200 1251 1264 1320 1350 1390 1422 1440 1485 1529 1580 1584 1650 1668 1738 1760 1800 1896 1975 1980 2085 2133 2160 2200 2224 2370 2376 2400 2475 2502 2528 2607 2640 2700 2780 2844 2970 3058 3160 3168 3300 3336 3475 3476 3555 3600 3753 3792 3950 3960 4170 4266 4320 4345 4400 4448 4587 4740 4752 4950 5004 5214 5280 5400 5560 5688 5925 5940 6116 6241 6255 6320 6600 6672 6950 6952 7110 7200 7425 7506 7584 7645 7821 7900 7920 8340 8532 8690 8800 9174 9480 9504 9900 10008 10425 10428 10665 10800 10981 11120 11376 11850 11880 12232 12482 12510 12640 13035 13200 13344 13761 13900 13904 14220 14850 15012 15290 15642 15800 15840 16680 17064 17380 17775 18348 18723 18765 18960 19321 19800 20016 20850 20856 21330 21600 21725 21962 22240 22752 22935 23463 23700 23760 24464 24964 25020 26070 26400 27522 27800 27808 28440 29700 30024 30580 31205 31275 31284 31600 32943 33360 34128 34760 35550 36696 37446 37530 37920 38225 38642 39105 39600 40032 41283 41700 41712 42660 43450 43924 45870 46926 47400 47520 48928 49928 50040 52140 53325 54905 55044 55600 56169 56880 57963 59400 60048 61160 62410 62550 62568 63200 65175 65886 66720 68256 68651 68805 69520 71100 73392 74892 75060 76450 77284 78210 79200 82566 83400 83424 85320 86900 87848 91740 93615 93825 93852 94800 96605 98829 99856 100080 104280 106650 109810 110088 111200 112338 113760 114675 115926 117315 118800 120096 120791 122320 124820 125100 125136 130350 131772 137302 137610 139040 142200 146784 149784 150120 152900 154568 156025 156420 164715 165132 166800 168507 170640 173800 173889 175696 183480 187230 187650 187704 189600 193210 195525 197658 199712 200160 205953 206415 208560 212531 213300 219620 220176 224676 229350 231852 234630 237600 241582 244640 249640 250200 250272 260700 263544 274525 274604 275220 280845 284400 289815 296487 299568 300240 305800 309136 312050 312840 329430 330264 333600 337014 341280 343255 344025 347600 347778 351392 362373 366960 374460 375300 375408 386420 391050 395316 411906 412830 417120 425062 426600 439240 440352 449352 458700 463704 468075 469260 483025 483164 494145 499280 500400 521400 521667 527088 549050 549208 550440 561690 568800 579630 586575 592974 599136 600480 603955 611600 617859 618272 624100 625680 637593 658860 660528 674028 686510 688050 695200 695556 724746 733920 748920 750600 750816 772840 782100 790632 823575 823812 825660 842535 850124 853200 867499 869445 878480 898704 917400 927408 936150 938520 966050 966328 988290 998560 1000800 1029765 1032075 1042800 1043334 1054176 1062655 1087119 1098100 1098416 1100880 1123380 1159260 1173150 1185948 1207910 1223200 1235718 1248200 1251360 1275186 1317720 1321056 1348056 1373020 1376100 1391112 1404225 1449075 1449492 1482435 1497840 1501200 1526359 1545680 1564200 1581264 1647150 1647624 1651320 1685070 1700248 1706400 1716275 1734998 1738890 1756960 1797408 1811865 1834800 1853577 1854816 1872300 1877040 1912779 1932100 1932656 1976580 2059530 2064150 2085600 2086668 2125310 2174238 2196200 2196832 2201760 2246760 2318520 2346300 2371896 2415820 2470725 2471436 2496400 2550372 2602497 2608335 2635440 2685619 2696112 2746040 2752200 2782224 2808450 2898150 2898984 2964870 2995680 3002400 3019775 3052718 3089295 3091360 3128400 3162528 3187965 3261357 3294300 3295248 3302640 3370140 3400496 3432550 3469996 3477780 3623730 3669600 3707154 3744600 3754080 3825558 3864200 3865312 3953160 4119060 4128300 4173336 4212675 4250620 4337495 4347225 4348476 4392400 4493520 4579077 4637040 4692600 4743792 4831640 4941450 4942872 4992800 5100744 5148825 5204994 5216670 5270880 5313275 5371238 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79762884300 81393093675 83804740895 84016904796 84865560400 86819299920 90665724600 91654805232 93352116440 95473755450 95501229912 96465888800 99480447825 100565689074 101838672480 103058881200 104183159904 105021130995 106112477680 106350512400 108524124900 112022539728 114568506540 116690145550 119376537390 120887632800 126025357194 127298340600 127334973216 127620614880 130228949880 132640597100 134087585432 140028174660 143210633175 143251844868 144698833200 150848533611 152758008720 159168716520 159525768600 162786187350 167609481790 168033809592 169731120800 173638599840 175035218325 179064806085 181331449200 183309610464 184370429969 186704232880 190947510900 191002459824 198960895650 201131378148 206117762400 210042261990 212224955360 212701024800 217048249800 224045079456 229137013080 233380291100 238753074780 251414222685 252050714388 254596681200 260457899760 265281194200 268175170864 280056349320 286421266350 286503689736 289397666400 298441343475 301697067222 305516017440 315063392985 318337433040 319051537200 325572374700 335218963580 336067619184 350070436650 358129612170 362662898400 368740859938 373408465760 381895021800 382004919648 397921791300 402262756296 419023704475 420084523980 434096499600 452545600833 458274026160 466760582200 477506149560 502828445370 504101428776 509193362400 520915799520 525105654975 530562388400 536350341728 553111289907 560112698640 572842532700 573007379472 596882686950 603394134444 630126785970 636674866080 638103074400 651144749400 670437927160 672135238368 700140873300 716259224340 737481719876 754242668055 763790043600 795843582600 804525512592 838047408950 840169047960 868192999200 895324030425 905091201666 916548052320 921852149845 933521164400 955012299120 1005656890740 1008202857552 1050211309950 1061124776800 1106222579814 1120225397280 1145685065400 1146014758944 1193765373900 1206788268888 1257071113425 1260253571940 1302289498800 1340875854320 1400281746600 1432518448680 1474963439752 1508485336110 1527580087200 1575316964925 1591687165200 1609051025184 1659333869721 1676094817900 1680338095920 1790648060850 1810182403332 1843704299690 1867042328800 1910024598240 2011313781480 2016405715104 2100422619900 2212445159628 2262728004165 2291370130800 2387530747800 2413576537776 2514142226850 2520507143880 2604578997600 2681751708640 2765556449535 2800563493200 2865036897360 2949926879504 3016970672220 3150633929850 3183374330400 3318667739442 3352189635800 3360676191840 3581296121700 3620364806664 3687408599380 3771213340275 4022627562960 4200845239800 4424890319256 4525456008330 4582740261600 4609260749225 4775061495600 4827153075552 4978001609163 5028284453700 5041014287760 5531112899070 5601126986400 5730073794720 5899853759008 6033941344440 6301267859700 6637335478884 6704379271600 7162592243400 7240729613328 7374817198760 7542426680550 8045255125920 8296669348605 8401690479600 8849780638512 9050912016660 9218521498450 9550122991200 9956003218326 10056568907400 10082028575520 11062225798140 11313640020825 12067882688880 12602535719400 13274670957768 13408758543200 13827782247675 14325184486800 14481459226656 14749634397520 15084853361100 16593338697210 16803380959200 17699561277024 18101824033320 18437042996900 19912006436652 20113137814800 22124451596280 22627280041650 24135765377760 24890008045815 25205071438800 26549341915536 27655564495350 28650368973600 29499268795040 30169706722200 33186677394420 36203648066640 36874085993800 39824012873304 40226275629600 41483346743025 44248903192560 45254560083300 49780016091630 50410142877600 53098683831072 55311128990700 60339413444400 66373354788840 72407296133280 73748171987600 79648025746608 82966693486050 88497806385120 90509120166600 99560032183260 110622257981400 120678826888800 124450040229075 132746709577680 147496343975200 159296051493216 165933386972100 181018240333200 199120064366520 221244515962800 248900080458150 265493419155360 331866773944200 362036480666400 398240128733040 442489031925600 497800160916300 663733547888400 796480257466080 995600321832600 1327467095776800 1991200643665200 3982401287330400
- Sum of all divisors σ(n): 16029109083859200
- Sum of proper divisors (its aliquot sum) s(n): 12046707796528800
- 3982401287330400 is an abundant number, because the sum of its proper divisors (12046707796528800) is greater than itself. Its abundance is 8064306509198400
Bases of 3982401287330400
- Binary: 11100010010111111001000011100001010110011010011000002
- Hexadecimal: 0xE25F90E159A60
- Base-36: 137N5W7X7C0
Squares and roots of 3982401287330400
- 3982401287330400 squared (39824012873304002) is 15859520013330827139558764160000
- 3982401287330400 cubed (39824012873304003) is 63158972917530928569757856289823689598464000000
-
The
square root of 3982401287330400 is 63106269.7941369373 -
The
cube root of 3982401287330400 is 158506.9611504871
Scales and comparisons
How big is 3982401287330400?- 3,982,401,287,330,400 seconds is equal to 126,628,042 years, 29 weeks, 1 day, 6 hours.
-
To count from 1 to 3,982,401,287,330,400 would take you about three hundred seventy-nine million, eight hundred eighty-four thousand, one hundred twenty-seven 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 3982401287330400 cubic inches would be around 13208.9 feet tall.
Recreational maths with 3982401287330400
- 3982401287330400 backwards is 0040337821042893
- 3982401287330400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3982401287330400's digits is 54
- More coming soon!
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"Number 3982401287330400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 3982401287330400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/3982401287330400/
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The information we have on file for 3982401287330400 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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