13890961310400
13,890,961,310,400 is an even composite number composed of eight prime numbers multiplied together.
13890961310400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13890961310400:
26 × 32 × 52 × 17 × 41 × 71 × 101 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 41 × 71 × 101 × 193)See below for interesting mathematical facts about the number 13890961310400 from the Numbermatics database.
Names of 13890961310400
- Cardinal: 13890961310400 can be written as Thirteen trillion, eight hundred ninety billion, nine hundred sixty-one million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.38909613104 × 1013
Factors of 13890961310400
Divisors of 13890961310400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 41 45 48 50 51 60 64 68 71 72 75 80 82 85 90 96 100 101 102 120 123 136 142 144 150 153 160 164 170 180 192 193 200 202 204 205 213 225 240 246 255 272 284 288 300 303 306 320 328 340 355 360 369 386 400 404 408 410 425 426 450 480 492 505 510 544 568 576 579 600 606 612 615 639 656 680 697 710 720 738 765 772 800 808 816 820 850 852 900 909 960 965 984 1010 1020 1025 1065 1088 1136 1158 1200 1207 1212 1224 1230 1275 1278 1312 1360 1394 1420 1440 1476 1515 1530 1544 1600 1616 1632 1640 1700 1704 1717 1737 1775 1800 1818 1845 1930 1968 2020 2040 2050 2091 2130 2272 2316 2400 2414 2424 2448 2460 2525 2550 2556 2624 2720 2788 2840 2880 2895 2911 2952 3030 3060 3075 3088 3195 3232 3264 3280 3281 3400 3408 3434 3474 3485 3550 3600 3621 3636 3690 3825 3860 3936 4040 4080 4100 4141 4182 4260 4544 4545 4632 4800 4825 4828 4848 4896 4920 5050 5100 5112 5151 5325 5440 5576 5680 5790 5822 5904 6035 6060 6120 6150 6176 6273 6390 6464 6560 6562 6800 6816 6868 6948 6970 7100 7171 7200 7242 7272 7380 7575 7650 7720 7872 7913 8080 8160 8200 8282 8364 8520 8585 8685 8733 9090 9225 9264 9650 9656 9696 9792 9840 9843 10100 10200 10224 10302 10455 10650 10863 11152 11360 11580 11644 11808 12070 12120 12240 12300 12352 12423 12546 12780 13120 13124 13600 13632 13703 13736 13896 13940 14200 14342 14400 14475 14484 14544 14555 14760 15150 15300 15440 15453 15826 15975 16160 16320 16400 16405 16564 16728 17040 17170 17370 17425 17466 18105 18180 18450 18528 19300 19312 19392 19493 19680 19686 20200 20400 20448 20604 20705 20910 21300 21513 21726 22304 22720 22725 23160 23288 23616 23739 24140 24240 24480 24600 24846 25092 25560 25755 26199 26248 27200 27406 27472 27792 27880 28400 28684 28950 28968 29088 29110 29520 29529 30175 30300 30600 30880 30906 31365 31652 31950 32320 32800 32810 33128 33456 34080 34340 34740 34850 34932 35855 36210 36360 36900 37056 37269 38600 38624 38986 39360 39372 39565 40400 40800 40896 41109 41208 41410 41820 42600 42925 43026 43425 43452 43665 44608 45450 46320 46576 47478 48280 48480 48960 49200 49215 49487 49692 50184 51120 51510 52275 52398 52496 54315 54812 54944 55584 55760 56800 57368 57900 57936 58176 58220 58479 59040 59058 60350 60600 61200 61760 61812 62115 62730 63304 63900 64539 65600 65620 66256 66912 68160 68515 68680 69480 69700 69864 70397 71217 71710 72420 72720 72775 73800 74538 77200 77248 77265 77972 78744 79130 80800 81600 82025 82218 82416 82820 83640 85200 85850 86052 86850 86904 87330 90525 90900 92640 93152 94956 96560 96960 97465 98400 98430 98974 99384 100368 102240 103020 103525 104550 104796 104992 107565 108630 109624 109888 111168 111520 113600 114736 115800 115872 116440 116958 118080 118116 118695 120700 121200 121907 122400 123327 123624 124230 125460 126608 127800 128775 129078 130995 131240 132512 133824 134521 137030 137360 138960 139400 139728 140794 142434 143420 144840 145440 145550 147600 147645 148461 149076 154400 154530 155944 156825 157488 158260 161600 164050 164436 164832 165640 167280 170400 171700 172104 173700 173808 174660 175437 179275 181050 181800 185280 186304 186345 189912 193120 194930 196800 196860 197825 197948 198768 200736 204480 205545 206040 207050 209100 209592 209984 211191 215130 217260 218325 219248 223040 229472 231600 231744 232880 232951 233916 236232 237390 241400 242400 243814 244800 246075 246654 247248 247435 248460 250920 253216 255600 257550 258156 261990 262480 265024 269042 271575 274060 274720 277920 278800 279456 281588 284868 286840 289680 290880 291100 292395 294011 295200 295290 296922 298152 308800 309060 310575 311888 313650 314976 316520 322695 328100 328872 329664 331280 331381 334560 340800 342575 343400 344208 347400 347616 349320 350874 351985 356085 358550 362100 363600 365721 372690 379824 386240 386325 389860 393720 395650 395896 397536 401472 403563 411090 412080 414100 418200 419184 422382 430260 434520 436650 438496 445383 458944 463200 465760 465902 467832 472464 474780 482800 484800 487325 487628 492150 493308 494496 494870 496920 501840 506432 511200 515100 516312 523980 524960 537825 538084 543150 548120 549440 555840 557600 558912 561823 563176 569736 573680 579360 582200 584790 588022 590400 590580 593475 593844 596304 609535 616635 618120 621150 623776 627300 629952 633040 633573 645390 654975 656200 657744 662560 662762 669120 672605 685150 686800 688416 694800 695232 698640 698853 701748 703970 712170 717100 724200 727200 731442 738225 742305 745380 759648 772650 779720 787440 791300 791792 795072 799213 807126 822180 824160 828200 836400 838368 844764 860520 869040 873300 876992 877185 882033 890766 926400 931520 931725 931804 935664 944928 949560 965600 974650 975256 984300 986616 988992 989740 993840 994143 1003680 1022400 1027725 1030200 1032624 1047960 1049920 1055955 1075650 1076168 1086300 1096240 1097163 1115200 1123646 1126352 1139472 1147360 1158720 1164400 1164755 1169580 1176044 1181160 1186950 1187688 1192608 1210689 1219070 1233270 1236240 1237175 1242300 1247552 1254600 1266080 1267146 1290780 1309950 1312400 1315488 1325120 1325524 1345210 1370300 1373600 1376832 1384003 1389600 1397280 1397706 1403496 1407940 1424340 1434200 1448400 1454400 1461975 1462884 1470055 1476450 1484610 1490760 1519296 1545300 1559440 1574880 1582600 1583584 1598426 1613475 1614252 1644360 1648320 1656400 1656905 1672800 1676736 1685469 1689528 1721040 1738080 1746600 1754370 1759925 1764066 1780425 1781532 1828605 1863450 1863608 1871328 1889856 1899120 1931200 1949300 1950512 1968600 1973232 1979480 1987680 1988286 2007360 2017815 2055450 2060400 2065248 2095920 2096559 2111910 2151300 2152336 2172600 2192480 2194326 2226915 2247292 2252704 2278944 2294720 2328800 2329510 2339160 2352088 2362320 2373900 2375376 2385216 2397639 2421378 2438140 2466540 2472480 2474350 2484600 2509200 2532160 2534292 2581560 2619900 2624800 2630976 2646099 2651048 2690420 2740600 2747200 2768006 2779200 2794560 2795412 2806992 2809115 2815880 2848680 2868400 2896800 2923950 2925768 2940110 2952900 2969220 2981520 2982429 3047675 3083175 3090600 3118880 3149760 3165200 3167168 3167865 3196852 3226950 3228504 3288720 3312800 3313810 3345600 3363025 3370938 3379056 3442080 3476160 3493200 3494265 3508740 3519850 3528132 3560850 3563064 3657210 3711525 3726900 3727216 3742656 3798240 3898600 3901024 3937200 3946464 3958960 3975360 3976572 3996065 4035630 4110900 4120800 4130496 4152009 4191840 4193118 4223820 4302600 4304672 4345200 4384960 4385925 4388652 4410165 4453830 4494584 4505408 4557888 4657600 4659020 4678320 4704176 4724640 4747800 4750752 4795278 4842756 4876280 4933080 4944960 4948700 4969200 4970715 4998187 5018400 5056407 5068584 5163120 5239800 5249600 5279775 5292198 5302096 5380840 5481200 5485815 5536012 5590824 5613984 5618230 5631760 5697360 5736800 5793600 5823775 5847900 5851536 5880220 5905800 5938440 5963040 5964858 6053445 6095350 6166350 6181200 6237760 6330400 6335730 6393704 6453900 6457008 6577440 6625600 6627620 6726050 6741876 6758112 6884160 6920015 6986400 6988530 7017480 7039700 7056264 7121700 7126128 7192917 7314420 7350275 7423050 7453800 7454432 7596480 7797200 7802048 7874400 7892928 7917920 7953144 7992130 8071260 8221800 8241600 8284525 8304018 8383680 8386236 8427345 8447640 8605200 8609344 8690400 8771850 8777304 8820330 8907660 8989168 9143025 9318040 9356640 9408352 9449280 9495600 9501504 9550991 9590556 9685512 9752560 9866160 9897400 9938400 9941430 9996374 10036800 10089075 10112814 10137168 10326240 10479600 10482795 10559550 10584396 10604192 10761680 10962400 10971630 11072024 11134575 11181648 11227968 11236460 11263520 11394720 11473600 11647550 11695800 11703072 11760440 11811600 11876880 11926080 11929716 11988195 12106890 12190700 12332700 12362400 12456027 12660800 12671460 12787408 12907800 12914016 13154880 13230495 13255240 13452100 13483752 13516224 13586621 13840030 13972800 13977060 14034960 14045575 14079400 14112528 14243400 14252256 14385834 14628840 14700550 14846100 14907600 14908864 14912145 14994561 15594400 15748800 15835840 15839325 15906288 15984260 16142520 16443600 16569050 16608036 16772472 16854690 16895280 17210400 17380800 17471325 17543700 17554608 17640660 17815320 17978336 18286050 18636080 18713280 18816704 18991200 19101982 19181112 19371024 19505120 19732320 19794800 19876800 19882860 19980325 19992748 20178150 20225628 20274336 20652480 20760045 20959200 20965590 21119100 21168792 21208384 21523360 21924800 21943260 22050825 22144048 22269150 22363296 22472920 22527040 22789440 23295100 23391600 23406144 23520880 23528051 23623200 23753760 23859432 23976390 24213780 24381400 24665400 24724800 24853575 24912054 24990935 25282035 25342920 25574816 25815600 25828032 26460990 26510480 26904200 26967504 27173242 27429075 27680060 27954120 28069920 28091150 28158800 28225056 28486800 28504512 28652973 28771668 29257680 29401100 29692200 29815200 29824290 29989122 30267225 31188800 31678650 31812576 31968520 32285040 32887200 33138100 33216072 33544944 33709380 33790560 34420800 34600075 34942650 35087400 35109216 35281320 35630640 35956672 35964585 36572100 37272160 37982400 38203964 38362224 38742048 39010240 39464640 39589600 39765720 39960650 39985496 40356300 40451256 40548672 40759863 41520090 41918400 41931180 42136725 42238200 42337584 43046720 43886520 44101650 44288096 44538300 44726592 44945840 44983683 46590200 46783200 47041760 47056102 47246400 47507520 47718864 47754955 47952780 48427560 48762800 49330800 49707150 49824108 49981870 50564070 50685840 51149632 51631200 52413975 52921980 53020960 53808400 53935008 54346484 54858150 55360120 55908240 56139840 56182300 56317600 56450112 56744123 56973600 57305946 57543336 58515360 58802200 59384400 59630400 59648580 59940975 59978244 60534450 62280135 63357300 63625152 63937040 64570080 65774400 66152475 66276200 66432144 67089888 67418760 67581120 67933105 69200150 69885300 70174800 70218432 70562640 70584153 71261280 71929170 73144200 74544320 74560725 74972805 76407928 76724448 77484096 79179200 79531440 79921300 79970992 80712600 80902512 81519726 83040180 83862360 84273450 84476400 84675168 85958919 87773040 88203300 88576192 89076600 89891680 89967366 93180400 93566400 94083520 94112204 95437728 95509910 95905560 96855120 97525600 98661600 99414300 99648216 99963740 101128140 101371680 103262400 103800225 104827950 105843960 106041920 107616800 107870016 108692968 109716300 110720240 111816480 112364600 112635200 113488246 113947200 114611892 115086672 117030720 117604400 117640255 118768800 119297160 119881950 119956488 121068900 122279589 124560270 124954675 126410175 126714600 127874080 129140160 132304950 132552400 132864288 134179776 134837520 135866210 138400300 139770600 140349600 141125280 141168306 142522560 143264865 143858340 146288400 149121450 149945610 152815856 153448896 159062880 159842600 159941984 161425200 161805024 163039452 166080360 167724720 168546900 168952800 169350336 170232369 171917838 175546080 176406600 178153200 179783360 179822925 179934732 186360800 188224408 190875456 191019820 191811120 193710240 195051200 197323200 198828600 199296432 199927480 202256280 202743360 203799315 207600450 209655900 211687920 211752459 215233600 217385936 219432600 221440480 223632960 224729200 224918415 226976492 229223784 230173344 235208800 235280510 237537600 238594320 238774775 239763900 239912976 242137800 244559178 249120540 249909350 252820350 253429200 255748160 264609900 265104800 265728576 269675040 271732420 276800600 279541200 280699200 282250560 282336612 283720615 286529730 287716680 292576800 298242900 299891220 305631712 311400675 318125760 319685200 319883968 322850400 323610048 326078904 332160720 335449440 337093800 337905600 339665525 340464738 343835676 351092160 352813200 352920765 356306400 359645850 359869464 372721600 374864025 376448816 382039640 383622240 387420480 397657200 398592864 399854960 404512560 407598630 415200900 419311800 423375840 423504918 429794595 434771872 438865200 442880960 449458400 449836830 453952984 458447568 460346688 470417600 470561020 477188640 477549550 479527800 479825952 484275600 489118356 498241080 499818700 505640700 506858400 510697107 529219800 530209600 539350080 543464840 553601200 559082400 564673224 567441230 573059460 575433360 585153600 588201275 596485800 599782440 611263424 611397945 622801350 639370400 645700800 652157808 664321440 670898880 674187600 679331050 680929476 687671352 705626400 705841530 712612800 716324325 719291700 719738928 749728050 752897632 764079280 767244480 795314400 797185728 799709920 809025120 815197260 830401800 838623600 846751680 847009836 851161845 859589190 869543744 877730400 898916800 899673660 907905968 916895136 941122040 954377280 955099100 959055600 959651904 964650091 968551200 978236712 996482160 999637400 1011281400 1013716800 1018996575 1021394214 1058439600 1058762295 1086929680 1107202400 1118164800 1124592075 1129346448 1134882460 1146118920 1150866720 1176402550 1192971600 1199564880 1222795890 1245602700 1278740800 1304315616 1328642880 1348375200 1358662100 1361858952 1375342704 1411252800 1411683060 1418603075 1432648650 1438583400 1439477856 1499456100 1505795264 1528158560 1590628800 1599419840 1618050240 1630394520 1660803600 1677247200 1694019672 1702323690 1719178380 1755460800 1764603825 1799347320 1815811936 1833790272 1882244080 1910198200 1918111200 1929300182 1937102400 1956473424 1992964320 1999274800 2022562800 2037993150 2042788428 2116879200 2117524590 2148972975 2173859360 2214404800 2249184150 2258692896 2269764920 2292237840 2301733440 2352805100 2385943200 2399129760 2445591780 2491205400 2553485535 2608631232 2696750400 2717324200 2723717904 2750685408 2823366120 2837206150 2865297300 2877166800 2878955712 2893950273 2998912200 3056317120 3056989725 3260789040 3321607200 3354494400 3388039344 3404647380 3438356760 3529207650 3598694640 3631623872 3764488160 3820396400 3836222400 3858600364 3912946848 3985928640 3998549600 4045125600 4075986300 4085576856 4233758400 4235049180 4255809225 4297945950 4347718720 4498368300 4517385792 4539529840 4584475680 4705610200 4771886400 4798259520 4823250455 4891183560 4982410800 5106971070 5293811475 5434648400 5447435808 5501370816 5646732240 5674412300 5730594600 5754333600 5787900546 5997824400 6113979450 6521578080 6643214400 6776078688 6809294760 6876713520 7058415300 7197389280 7528976320 7640792800 7717200728 7825893696 7997099200 8090251200 8151972600 8171153712 8470098360 8511618450 8595891900 8681850819 8996736600 9079059680 9168951360 9411220400 9646500910 9782367120 9964821600 10213942140 10587622950 10869296800 10894871616 11293464480 11348824600 11461189200 11508667200 11575801092 11995648800 12227958900 12767427675 13043156160 13552157376 13618589520 13753427040 14116830600 14394778560 14469751365 15281585600 15434401456 16303945200 16342307424 16940196720 17023236900 17191783800 17363701638 17993473200 18158119360 18822440800 19293001820 19564734240 19929643200 20427884280 21175245900 21738593600 22586928960 22697649200 22922378400 23151602184 23991297600 24116252275 24455917800 25534855350 27237179040 27506854080 28233661200 28939502730 30868802912 32607890400 32684614848 33880393440 34046473800 34383567600 34727403276 35986946400 37644881600 38586003640 39129468480 40855768560 42350491800 43409254095 45395298400 45844756800 46303204368 48232504550 48911835600 51069710700 54474358080 56467322400 57879005460 61737605824 65215780800 67760786880 68092947600 68767135200 69454806552 71973892800 72348756825 77172007280 81711537120 84700983600 86818508190 90790596800 92606408736 96465009100 97823671200 102139421400 112934644800 115758010920 136185895200 137534270400 138909613104 144697513650 154344014560 163423074240 169401967200 173637016380 185212817472 192930018200 195647342400 204278842800 217046270475 231516021840 272371790400 277819226208 289395027300 308688029120 338803934400 347274032760 385860036400 408557685600 434092540950 463032043680 555638452416 578790054600 694548065520 771720072800 817115371200 868185081900 926064087360 1157580109200 1389096131040 1543440145600 1736370163800 2315160218400 2778192262080 3472740327600 4630320436800 6945480655200 13890961310400
- Sum of all divisors σ(n): 55127076391296
- Sum of proper divisors (its aliquot sum) s(n): 41236115080896
- 13890961310400 is an abundant number, because the sum of its proper divisors (41236115080896) is greater than itself. Its abundance is 27345153770496
Bases of 13890961310400
- Binary: 110010100010001111011101000010000010110000002
- Hexadecimal: 0xCA23DD082C0
- Base-36: 4X9F3PKG0
Squares and roots of 13890961310400
- 13890961310400 squared (138909613104002) is 192958806127029685148160000
- 13890961310400 cubed (138909613104003) is 2680383310411543824065384051748864000000
-
The
square root of 13890961310400 is 3727057.9966509777 -
The
cube root of 13890961310400 is 24038.6883586095
Scales and comparisons
How big is 13890961310400?- 13,890,961,310,400 seconds is equal to 441,689 years, 31 weeks, 2 days, 4 hours.
-
To count from 1 to 13,890,961,310,400 would take you about one million, one hundred four thousand, two hundred twenty-four 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 13890961310400 cubic inches would be around 2003.2 feet tall.
Recreational maths with 13890961310400
- 13890961310400 backwards is 00401316909831
- 13890961310400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13890961310400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13890961310400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 13890961310400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/13890961310400/
Chicago style:
Numbermatics. 2024. "Number 13890961310400 - Facts about the integer". https://numbermatics.com/n/13890961310400/
The information we have on file for 13890961310400 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 13890961310400, math, Factors of 13890961310400, curriculum, school, college, exams, university, Prime factorization of 13890961310400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred ninety billion, nine hundred sixty-one million, three hundred ten thousand, four hundred.