13681957968000
13,681,957,968,000 is an even composite number composed of six prime numbers multiplied together.
13681957968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13681957968000:
27 × 33 × 53 × 72 × 181 × 3571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 181 × 3571)See below for interesting mathematical facts about the number 13681957968000 from the Numbermatics database.
Names of 13681957968000
- Cardinal: 13681957968000 can be written as Thirteen trillion, six hundred eighty-one billion, nine hundred fifty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3681957968 × 1013
Factors of 13681957968000
Divisors of 13681957968000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 181 189 192 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 320 336 350 360 362 375 378 384 392 400 420 432 441 448 450 480 490 500 504 525 540 543 560 576 588 600 630 640 672 675 700 720 724 735 750 756 784 800 840 864 875 882 896 900 905 945 960 980 1000 1008 1050 1080 1086 1120 1125 1152 1176 1200 1225 1260 1267 1323 1344 1350 1400 1440 1448 1470 1500 1512 1568 1575 1600 1629 1680 1728 1750 1764 1800 1810 1890 1920 1960 2000 2016 2100 2160 2172 2205 2240 2250 2352 2400 2450 2520 2534 2625 2646 2688 2700 2715 2800 2880 2896 2940 3000 3024 3136 3150 3200 3258 3360 3375 3456 3500 3528 3571 3600 3620 3675 3780 3801 3920 4000 4032 4200 4320 4344 4410 4480 4500 4525 4704 4725 4800 4887 4900 5040 5068 5250 5292 5400 5430 5600 5760 5792 5880 6000 6048 6125 6272 6300 6335 6516 6615 6720 6750 7000 7056 7142 7200 7240 7350 7560 7602 7840 7875 8000 8064 8145 8400 8640 8688 8820 8869 9000 9050 9408 9450 9600 9774 9800 10080 10136 10500 10584 10713 10800 10860 11025 11200 11403 11584 11760 12000 12096 12250 12600 12670 13032 13230 13440 13500 13575 14000 14112 14284 14400 14480 14700 15120 15204 15680 15750 16000 16290 16800 17280 17376 17640 17738 17855 18000 18100 18375 18816 18900 19005 19548 19600 20160 20272 21000 21168 21426 21600 21720 22050 22400 22625 22806 23168 23520 23625 24000 24192 24435 24500 24997 25200 25340 26064 26460 26607 27000 27150 28000 28224 28568 28800 28960 29400 30240 30408 31360 31500 31675 32139 32580 33075 33600 34209 34752 35280 35476 35710 36000 36200 36750 37800 38010 39096 39200 40320 40544 40725 42000 42336 42852 43200 43440 44100 44345 45250 45612 47040 47250 48000 48870 49000 49994 50400 50680 52128 52920 53214 53565 54000 54300 55125 56000 56448 57015 57136 57920 58800 60480 60816 63000 63350 64278 65160 66150 67200 67875 68418 69504 70560 70952 71420 72000 72400 73500 74991 75600 76020 78192 78400 79821 81088 81450 84000 84672 85704 86400 86880 88200 88690 89275 90500 91224 94080 94500 95025 96417 97740 98000 99988 100800 101360 104256 105840 106428 107130 108000 108600 110250 112000 114030 114272 115840 117600 120960 121632 122175 124985 126000 126700 128556 130320 132300 133035 135750 136836 141120 141904 142840 144000 144800 147000 149982 151200 152040 156384 156800 158375 159642 160695 162176 162900 165375 168000 169344 171045 171408 173760 174979 176400 177380 178550 181000 182448 189000 190050 192834 195480 196000 199976 201600 202720 203625 208512 211680 212856 214260 216000 217200 220500 221725 224973 228060 228544 235200 239463 243264 244350 249970 252000 253400 257112 260640 264600 266070 267825 271500 273672 282240 283808 285075 285680 289600 294000 299964 302400 304080 312768 316750 319284 321390 325800 330750 336000 342090 342816 347520 349958 352800 354760 357100 362000 364896 374955 378000 380100 385668 390960 392000 399105 399952 405440 407250 423360 425712 428520 432000 434400 441000 443450 446375 449946 456120 457088 470400 475125 478926 482085 486528 488700 499940 504000 506800 514224 521280 524937 529200 532140 535650 543000 547344 567616 570150 571360 579200 588000 599928 604800 608160 610875 624925 625536 633500 638568 642780 646351 651600 661500 665175 674919 684180 685632 699916 705600 709520 714200 724000 729792 749910 756000 760200 771336 781920 784000 798210 799904 803475 810880 814500 846720 851424 855225 857040 868800 874895 882000 886900 892750 899892 912240 950250 957852 964170 977400 999880 1008000 1013600 1028448 1042560 1049874 1058400 1064280 1071300 1086000 1094688 1108625 1124865 1135232 1140300 1142720 1176000 1197315 1199856 1216320 1221750 1249850 1267000 1277136 1285560 1292702 1303200 1323000 1330350 1339125 1349838 1368360 1371264 1399832 1411200 1419040 1425375 1428400 1448000 1459584 1499820 1512000 1520400 1542672 1563840 1574811 1596420 1599808 1606950 1629000 1702848 1710450 1714080 1737600 1749790 1764000 1773800 1785500 1799784 1824480 1874775 1900500 1915704 1928340 1939053 1954800 1995525 1999760 2027200 2056896 2099748 2116800 2128560 2142600 2172000 2189376 2217250 2249730 2280600 2285440 2352000 2394630 2399712 2410425 2432640 2443500 2499700 2534000 2554272 2571120 2585404 2606400 2624685 2646000 2660700 2678250 2699676 2736720 2799664 2838080 2850750 2856800 2896000 2999640 3024000 3040800 3085344 3124625 3127680 3149622 3192840 3199616 3213900 3231755 3258000 3325875 3374595 3405696 3420900 3428160 3499580 3528000 3547600 3571000 3599568 3648960 3749550 3801000 3831408 3856680 3878106 3909600 3991050 3999520 4017375 4054400 4113792 4199496 4233600 4257120 4276125 4285200 4344000 4374475 4378752 4434500 4499460 4524457 4561200 4724433 4789260 4799424 4820850 4887000 4999400 5068000 5108544 5142240 5170808 5212800 5249370 5292000 5321400 5356500 5399352 5473440 5599328 5624325 5676160 5701500 5713600 5817159 5986575 5999280 6081600 6170688 6249250 6299244 6385680 6427800 6463510 6516000 6651750 6749190 6841800 6856320 6999160 7056000 7095200 7142000 7199136 7297920 7499100 7602000 7662816 7713360 7756212 7819200 7874055 7982100 7999040 8034750 8398992 8514240 8552250 8570400 8688000 8748950 8869000 8998920 9048914 9122400 9373875 9448866 9578520 9598848 9641700 9695265 9774000 9977625 9998800 10136000 10217088 10284480 10341616 10498740 10584000 10642800 10713000 10798704 10946880 11198656 11248650 11403000 11427200 11634318 11973150 11998560 12052125 12163200 12341376 12498500 12598488 12771360 12855600 12927020 13032000 13123425 13303500 13498380 13573371 13683600 13998320 14190400 14284000 14398272 14998200 15204000 15325632 15426720 15512424 15638400 15748110 15964200 15998080 16069500 16158775 16797984 16872975 17028480 17104500 17140800 17451477 17497900 17738000 17997840 18097828 18244800 18747750 18897732 19157040 19283400 19390530 19548000 19955250 19997600 20272000 20568960 20683232 20997480 21168000 21285600 21426000 21597408 21872375 21893760 22397312 22497300 22622285 22806000 23268636 23622165 23946300 23997120 24104250 24997000 25196976 25542720 25711200 25854040 26064000 26246850 26607000 26996760 27146742 27367200 27996640 28121625 28380800 28568000 28796544 29085795 29932875 29996400 30408000 30651264 30853440 31024848 31496220 31671199 31928400 32139000 32317550 33595968 33745950 34209000 34281600 34902954 34995800 35476000 35995680 36195656 36489600 37495500 37795464 38314080 38566800 38781060 39096000 39370275 39910500 39995200 40720113 41366464 41994960 42571200 42852000 43194816 43744750 44994600 45244570 45612000 46537272 47244330 47892600 47994240 48208500 48476325 49994000 50393952 51085440 51422400 51708080 52493700 53214000 53993520 54293484 54734400 55993280 56243250 57136000 58171590 59865750 59992800 60816000 61706880 62049696 62992440 63342398 63856800 64278000 64635100 65617125 67191936 67491900 67866855 68418000 69805908 69991600 70952000 71991360 72391312 74991000 75590928 76628160 77133600 77562120 78192000 78740550 79821000 79990400 80793875 81440226 82732928 83989920 84364875 85142400 85704000 86389632 87257385 87489500 89989200 90489140 91224000 93074544 94488660 95013597 95785200 96417000 96952650 99988000 100787904 102844800 103416160 104987400 106428000 107987040 108586968 109468800 111986560 112486500 113111425 116343180 118110825 119731500 119985600 122160339 124099392 125984880 126684796 127713600 128556000 129270200 131234250 134983800 135733710 136836000 139611816 139983200 141904000 143982720 144782624 145428975 149982000 151181856 153256320 154267200 155124240 157481100 158355995 159642000 161587750 162880452 167979840 168729750 171408000 174514770 174979000 179978400 180978280 182448000 186149088 188977320 190027194 191570400 192834000 193905300 196851375 199976000 201575808 203600565 206832320 209974800 212856000 215974080 217173936 224973000 226222850 232686360 236221650 239463000 239971200 242381625 244320678 248198784 251969760 253369592 255427200 257112000 258540400 262468500 269967600 271467420 273672000 279223632 279966400 285040791 289565248 290857950 299964000 302363712 308534400 310248480 314962200 316711990 319284000 323175500 325760904 335959680 337459500 339334275 349029540 349958000 359956800 361956560 372298176 377954640 380054388 383140800 385668000 387810600 393702750 399952000 407201130 413664640 419949600 425712000 431948160 434347872 436286925 449946000 452445700 465372720 472443300 475067985 478926000 484763250 488641356 503939520 506739184 514224000 517080800 524937000 539935200 542934840 547344000 558447264 559932800 565557125 570081582 579130496 581715900 590554125 599928000 604727424 610801695 620496960 629924400 633423980 638568000 646351000 651521808 674919000 678668550 698059080 699916000 719913600 723913120 727144875 744596352 755909280 760108776 766281600 771336000 775621200 787405500 791779975 814402260 839899200 855122373 868695744 872573850 899892000 904891400 930745440 944886600 950135970 957852000 969526500 977282712 1007879040 1013478368 1018002825 1034161600 1049874000 1079870400 1085869680 1116894528 1131114250 1140163164 1163431800 1181108250 1199856000 1221603390 1240993920 1259848800 1266847960 1277136000 1292702000 1303043616 1349838000 1357337100 1396118160 1399832000 1425203955 1447826240 1454289750 1511818560 1520217552 1542672000 1551242400 1574811000 1583559950 1628804520 1679798400 1696671375 1710244746 1737391488 1745147700 1799784000 1809782800 1861490880 1889773200 1900271940 1915704000 1939053000 1954565424 2026956736 2036005650 2068323200 2099748000 2159740800 2171739360 2181434625 2233789056 2262228500 2280326328 2326863600 2362216500 2375339925 2443206780 2519697600 2533695920 2585404000 2606087232 2699676000 2714674200 2792236320 2799664000 2850407910 2895652480 2908579500 3023637120 3040435104 3054008475 3102484800 3149622000 3167119900 3257609040 3393342750 3420489492 3490295400 3599568000 3619565600 3722981760 3779546400 3800543880 3831408000 3878106000 3909130848 3958899875 4053913472 4072011300 4199496000 4275611865 4343478720 4362869250 4524457000 4560652656 4653727200 4724433000 4750679850 4886413560 5039395200 5067391840 5090014125 5170808000 5212174464 5399352000 5429348400 5584472640 5700815820 5817159000 6080870208 6108016950 6204969600 6299244000 6334239800 6515218080 6786685500 6840978984 6980590800 7126019775 7239131200 7559092800 7601087760 7756212000 7818261696 7917799750 8144022600 8398992000 8551223730 8686957440 8725738500 9048914000 9121305312 9307454400 9448866000 9501359700 9772827120 10134783680 10180028250 10341616000 10798704000 10858696800 11168945280 11401631640 11634318000 11876699625 12161740416 12216033900 12598488000 12668479600 13030436160 13573371000 13681957968 13961181600 14252039550 14478262400 15118185600 15202175520 15270042375 15512424000 15636523392 15835599500 16288045200 17102447460 17451477000 18097828000 18242610624 18614908800 18897732000 19002719400 19545654240 20269567360 20360056500 21378059325 21717393600 22803263280 23268636000 23753399250 24432067800 25196976000 25336959200 26060872320 27146742000 27363915936 27922363200 28504079100 30404351040 30540084750 31024848000 31671199000 32576090400 34204894920 34902954000 35630098875 36195656000 36485221248 37795464000 38005438800 39091308480 40720113000 42756118650 43434787200 45606526560 46537272000 47506798500 48864135600 50673918400 54293484000 54727831872 55844726400 57008158200 60808702080 61080169500 63342398000 65152180800 68409789840 69805908000 71260197750 72391312000 75590928000 76010877600 78182616960 81440226000 85512237300 91213053120 93074544000 95013597000 97728271200 101347836800 106890296625 108586968000 109455663744 114016316400 122160339000 126684796000 130304361600 136819579680 139611816000 142520395500 152021755200 162880452000 171024474600 182426106240 190027194000 195456542400 213780593250 217173936000 228032632800 244320678000 253369592000 273639159360 279223632000 285040791000 304043510400 325760904000 342048949200 380054388000 390913084800 427561186500 456065265600 488641356000 506739184000 547278318720 570081582000 651521808000 684097898400 760108776000 855122373000 912130531200 977282712000 1140163164000 1368195796800 1520217552000 1710244746000 1954565424000 2280326328000 2736391593600 3420489492000 4560652656000 6840978984000 13681957968000
- Sum of all divisors σ(n): 58963392633600
- Sum of proper divisors (its aliquot sum) s(n): 45281434665600
- 13681957968000 is an abundant number, because the sum of its proper divisors (45281434665600) is greater than itself. Its abundance is 31599476697600
Bases of 13681957968000
- Binary: 110001110001100101000011111010011000100000002
- Hexadecimal: 0xC71943E9880
- Base-36: 4ULEKILC0
Squares and roots of 13681957968000
- 13681957968000 squared (136819579680002) is 187195973838118689024000000
- 13681957968000 cubed (136819579680003) is 2561207445831967539421630943232000000000
-
The
square root of 13681957968000 is 3698913.0792707201 -
The
cube root of 13681957968000 is 23917.5165950849
Scales and comparisons
How big is 13681957968000?- 13,681,957,968,000 seconds is equal to 435,043 years, 49 weeks.
-
To count from 1 to 13,681,957,968,000 would take you about one million, eighty-seven thousand, six hundred 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 13681957968000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13681957968000
- 13681957968000 backwards is 00086975918631
- 13681957968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13681957968000's digits is 63
- More coming soon!
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The information we have on file for 13681957968000 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!
Keywords: Divisors of 13681957968000, math, Factors of 13681957968000, curriculum, school, college, exams, university, Prime factorization of 13681957968000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred eighty-one billion, nine hundred fifty-seven million, nine hundred sixty-eight thousand.