3993126817680
3,993,126,817,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3993126817680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
3993126817680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 3993126817680:
24 × 33 × 5 × 7 × 113 × 13 × 15263
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 11 × 13 × 15263)See below for interesting mathematical facts about the number 3993126817680 from the Numbermatics database.
Names of 3993126817680
- Cardinal: 3993126817680 can be written as Three trillion, nine hundred ninety-three billion, one hundred twenty-six million, eight hundred seventeen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.99312681768 × 1012
Factors of 3993126817680
Divisors of 3993126817680
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 99 104 105 108 110 112 117 120 121 126 130 132 135 140 143 144 154 156 165 168 176 180 182 189 195 198 208 210 216 220 231 234 240 242 252 260 264 270 273 280 286 297 308 312 315 330 336 351 360 363 364 378 385 390 396 420 429 432 440 455 462 468 484 495 504 520 528 540 546 560 572 585 594 605 616 624 630 660 693 702 715 720 726 728 756 770 780 792 819 840 847 858 880 910 924 936 945 968 990 1001 1008 1040 1080 1089 1092 1144 1155 1170 1188 1210 1232 1260 1287 1320 1331 1365 1386 1404 1430 1452 1456 1485 1512 1540 1560 1573 1584 1638 1680 1694 1716 1755 1815 1820 1848 1872 1890 1936 1980 2002 2079 2145 2160 2178 2184 2288 2310 2340 2376 2420 2457 2520 2541 2574 2640 2662 2730 2772 2808 2860 2904 2970 3003 3024 3080 3120 3146 3267 3276 3388 3432 3465 3510 3630 3640 3696 3780 3861 3960 3993 4004 4095 4158 4235 4290 4356 4368 4620 4680 4719 4752 4840 4914 5005 5040 5082 5148 5324 5445 5460 5544 5616 5720 5808 5940 6006 6160 6292 6435 6534 6552 6655 6776 6864 6930 7020 7260 7280 7560 7623 7722 7865 7920 7986 8008 8190 8316 8470 8580 8712 9009 9240 9317 9360 9438 9680 9828 10010 10164 10296 10395 10648 10890 10920 11011 11088 11440 11880 11979 12012 12285 12584 12705 12870 13068 13104 13310 13552 13860 14040 14157 14520 15015 15120 15246 15263 15444 15730 15972 16016 16335 16380 16632 16940 17160 17303 17424 18018 18480 18634 18876 19305 19656 19965 20020 20328 20592 20790 21296 21780 21840 22022 22869 23595 23760 23958 24024 24570 25168 25410 25740 26136 26620 27027 27720 27951 28080 28314 29040 30030 30492 30526 30888 31460 31944 32670 32760 33033 33264 33880 34320 34606 35937 36036 37268 37752 38115 38610 39312 39930 40040 40656 41580 42471 43560 44044 45045 45738 45789 46585 47190 47916 48048 49140 50820 51480 51909 52272 53240 54054 55055 55440 55902 56628 59895 60060 60984 61052 61776 62920 63888 65340 65520 66066 67760 69212 70785 71874 72072 74536 75504 76230 76315 77220 79860 80080 83160 83853 84942 86515 87120 88088 90090 91476 91578 93170 94380 95832 98280 99099 101640 102960 103818 106480 106841 108108 110110 111804 113256 114345 119790 120120 121121 121968 122104 125840 130680 132132 135135 137367 138424 139755 141570 143748 144144 149072 152460 152630 154440 155727 159720 165165 166320 167706 167893 169884 173030 176176 179685 180180 182952 183156 186340 188760 191664 196560 198198 198419 203280 207636 212355 213682 216216 220220 223608 226512 228690 228945 239580 240240 242242 244208 251559 259545 261360 264264 270270 274734 276848 279510 283140 287496 297297 304920 305260 308880 311454 319440 320523 330330 335412 335786 339768 346060 359370 360360 363363 365904 366312 372680 377520 396396 396838 412101 415272 419265 424710 427364 432432 440440 447216 457380 457890 467181 479160 484484 495495 503118 503679 519090 528528 534205 540540 549468 559020 566280 574992 594594 595257 605605 609840 610520 622908 641046 660660 670824 671572 679536 686835 692120 718740 720720 726726 732624 745360 778635 792792 793676 824202 830544 838530 839465 849420 854728 880880 914760 915780 934362 958320 961569 968968 990990 992095 1006236 1007358 1038180 1068410 1081080 1090089 1098936 1118040 1132560 1175251 1189188 1190514 1211210 1221040 1245816 1257795 1282092 1321320 1341648 1343144 1373670 1384240 1388933 1437480 1453452 1486485 1511037 1557270 1585584 1587352 1602615 1648404 1677060 1678930 1698840 1709456 1785771 1816815 1829520 1831560 1846823 1868724 1923138 1937936 1981980 1984190 2012472 2014716 2060505 2076360 2136820 2162160 2180178 2182609 2197872 2236080 2335905 2350502 2378376 2381028 2422420 2491632 2515590 2518395 2564184 2642640 2686288 2747340 2777866 2874960 2884707 2906904 2972970 2976285 3022074 3114540 3174704 3205230 3270267 3296808 3354120 3357860 3397680 3525753 3571542 3633630 3663120 3693646 3737448 3846276 3963960 3968380 4024944 4029432 4121010 4152720 4166799 4273640 4360356 4365218 4533111 4671810 4701004 4756752 4762056 4807845 4844840 5031180 5036790 5128368 5357313 5450445 5494680 5540469 5555732 5769414 5813808 5876255 5945940 5952570 6044148 6229080 6410460 6540534 6547827 6593616 6708240 6715720 6944665 7051506 7143084 7267260 7387292 7474896 7555185 7692552 7927920 7936760 8058864 8242020 8333598 8547280 8720712 8730436 8928855 9066222 9234115 9343620 9402008 9524112 9615690 9689680 10062360 10073580 10577259 10714626 10900890 10913045 10989360 11080938 11111464 11538828 11752510 11891880 11905140 12088296 12458160 12500397 12820920 12927761 13081068 13095654 13431440 13889330 14103012 14286168 14423535 14534520 14774584 15110370 15278263 15385104 15873520 16351335 16484040 16621407 16667196 17441424 17460872 17628765 17857710 18132444 18468230 18687240 18804016 19231380 19643481 20124720 20147160 20315053 20833995 21154518 21429252 21801780 21826090 22161876 22222928 22665555 23077656 23505020 23783760 23810280 24008699 24176592 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130810680 130956540 132971256 137504367 141030120 142205371 142861680 144052194 147745840 150004764 152782630 155133132 157147848 158658885 162520424 166214070 166671960 168060893 169236144 174608720 181324440 182835477 183339156 187505955 192069592 193916415 196434810 199456884 200006352 203150530 206844176 211545180 214292520 216078291 221618760 229173945 230776560 232699698 235721772 240086990 243780636 244452208 249321105 250007940 253854216 258555220 261621360 261913080 264095689 265942512 275008734 282060240 284410742 288104388 294652215 300009528 304725795 305565260 310266264 314295696 317317770 325040848 332428140 333343920 336121786 349049547 360130485 362648880 365670954 366678312 375011910 384139184 387832830 392869620 398913768 406301060 412513101 423090360 426616113 428585040 432156582 443237520 458347890 465399396 471443544 480173980 487561272 498642210 500015880 504182679 507708432 517110440 523826160 528191378 548506431 550017468 568821484 576208776 581749245 589304430 600019056 609451590 611130520 620532528 634635540 648234873 664856280 672243572 687521835 698099094 711026855 720260970 731341908 733356624 750023820 775665660 785739240 792287067 797827536 812602120 825026202 840304465 846180720 853232226 864313164 914177385 916695780 930798792 942887088 960347960 975122544 997284420 1000031760 1008365358 1034220880 1056382756 1080391455 1097012862 1100034936 1137642968 1152417552 1163498490 1178608860 1218903180 1222261040 1269271080 1279848339 1296469746 1320478445 1329712560 1344487144 1375043670 1396198188 1422053710 1440521940 1462683816 1500047640 1512548037 1551331320 1571478480 1584574134 1625204240 1650052404 1680608930 1706464452 1728626328 1745247735 1828354770 1833391560 1848669823 1861597584 1920695920 1994568840 2016730716 2062565505 2112765512 2133080565 2160782910 2194025724 2200069872 2275285936 2326996980 2357217720 2376861201 2437806360 2520913395 2538542160 2559696678 2592939492 2640956890 2688974288 2742532155 2750087340 2792396376 2844107420 2881043880 2925367632 3000095280 3025096074 3102662640 3169148268 3241174365 3300104808 3361217860 3412928904 3457252656 3490495470 3656709540 3666783120 3697339646 3839545017 3961435335 3989137680 4033461432 4125131010 4225531024 4266161130 4321565820 4388051448 4537644111 4653993960 4714435440 4753722402 4875612720 5041826790 5119393356 5185878984 5281913780 5485064310 5500174680 5546009469 5584792752 5688214840 5762087760 6050192148 6338296536 6399241695 6482348730 6600209616 6722435720 6825857808 6980990940 7130583603 7313419080 7394679292 7562740185 7679090034 7922870670 8066922864 8250262020 8532322260 8643131640 8776102896 9075288222 9243349115 9307987920 9507444804 10083653580 10238786712 10371757968 10563827560 10970128620 11000349360 11092018938 11376429680 11884306005 12100384296 12676593072 12798483390 12964697460 13444871440 13961981880 14261167206 14626838160 14789358584 15125480370 15358180068 15845741340 16500524040 16638028407 17064644520 17286263280 18150576444 18486698230 19014889608 19197725085 20167307160 20477573424 21127655120 21940257240 22184037876 22688220555 23768612010 24200768592 25596966780 25929394920 27730047345 27923963760 28522334412 29578717168 30250960740 30716360136 31691482680 33001048080 33276056814 34129289040 35652918015 36301152888 36973396460 38029779216 38395450170 40334614320 43880514480 44368075752 45376441110 47537224020 49914085221 51193933560 51858789840 55460094690 57044668824 60501921480 61432720272 63382965360 66552113628 71305836030 72602305776 73946792920 76790900340 83190142035 88736151504 90752882220 95074448040 99828170442 102387867120 110920189380 114089337648 121003842960 133104227256 142611672060 147893585840 153581800680 166380284070 181505764440 190148896080 199656340884 221840378760 249570426105 266208454512 285223344120 307163601360 332760568140 363011528880 399312681768 443680757520 499140852210 570446688240 665521136280 798625363536 998281704420 1331042272560 1996563408840 3993126817680
- Sum of all divisors σ(n): 18620888186880
- Sum of proper divisors (its aliquot sum) s(n): 14627761369200
- 3993126817680 is an abundant number, because the sum of its proper divisors (14627761369200) is greater than itself. Its abundance is 10634634551520
Bases of 3993126817680
- Binary: 1110100001101110001110011111001111100100002
- Hexadecimal: 0x3A1B8E7CF90
- Base-36: 1EYF0LVO0
Squares and roots of 3993126817680
- 3993126817680 squared (39931268176802) is 15945061782075203960582400
- 3993126817680 cubed (39931268176803) is 63670653811568948857557331071416832000
-
The
square root of 3993126817680 is 1998280.9656502261 -
The
cube root of 3993126817680 is 15864.9132263733
Scales and comparisons
How big is 3993126817680?- 3,993,126,817,680 seconds is equal to 126,969 years, 4 weeks, 1 day, 13 hours, 48 minutes.
-
To count from 1 to 3,993,126,817,680 would take you about three hundred seventeen thousand, four hundred twenty-two 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 3993126817680 cubic inches would be around 1322.1 feet tall.
Recreational maths with 3993126817680
- 3993126817680 backwards is 0867186213993
- 3993126817680 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3993126817680's digits is 63
- More coming soon!
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The information we have on file for 3993126817680 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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