13398714040320
13,398,714,040,320 is an even composite number composed of five prime numbers multiplied together.
13398714040320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred fifty divisors.
Prime factorization of 13398714040320:
214 × 34 × 5 × 74 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 29 × 29)See below for interesting mathematical facts about the number 13398714040320 from the Numbermatics database.
Names of 13398714040320
- Cardinal: 13398714040320 can be written as Thirteen trillion, three hundred ninety-eight billion, seven hundred fourteen million, forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.339871404032 × 1013
Factors of 13398714040320
Divisors of 13398714040320
- Number of divisors d(n): 2250
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 49 54 56 58 60 63 64 70 72 80 81 84 87 90 96 98 105 108 112 116 120 126 128 135 140 144 145 147 160 162 168 174 180 189 192 196 203 210 216 224 232 240 245 252 256 261 270 280 288 290 294 315 320 324 336 343 348 360 378 384 392 405 406 420 432 435 441 448 464 480 490 504 512 522 540 560 567 576 580 588 609 630 640 648 672 686 696 720 735 756 768 783 784 810 812 840 841 864 870 882 896 928 945 960 980 1008 1015 1024 1029 1044 1080 1120 1134 1152 1160 1176 1218 1260 1280 1296 1305 1323 1344 1372 1392 1421 1440 1470 1512 1536 1566 1568 1620 1624 1680 1682 1715 1728 1740 1764 1792 1827 1856 1890 1920 1960 2016 2030 2048 2058 2088 2160 2205 2240 2268 2304 2320 2349 2352 2401 2436 2520 2523 2560 2592 2610 2646 2688 2744 2784 2835 2842 2880 2940 3024 3045 3072 3087 3132 3136 3240 3248 3360 3364 3430 3456 3480 3528 3584 3654 3712 3780 3840 3915 3920 3969 4032 4060 4096 4116 4176 4205 4263 4320 4410 4480 4536 4608 4640 4698 4704 4802 4872 5040 5046 5120 5145 5184 5220 5292 5376 5481 5488 5568 5670 5684 5760 5880 5887 6048 6090 6144 6174 6264 6272 6480 6496 6615 6720 6728 6860 6912 6960 7056 7105 7168 7203 7308 7424 7560 7569 7680 7830 7840 7938 8064 8120 8192 8232 8352 8410 8526 8640 8820 8960 9072 9135 9216 9261 9280 9396 9408 9604 9744 9947 10080 10092 10240 10290 10368 10440 10584 10752 10962 10976 11136 11340 11368 11520 11745 11760 11774 12005 12096 12180 12288 12348 12528 12544 12615 12789 12960 12992 13230 13440 13456 13720 13824 13920 14112 14210 14336 14406 14616 14848 15120 15138 15360 15435 15660 15680 15876 16128 16240 16384 16443 16464 16704 16820 17052 17280 17640 17661 17920 18144 18270 18432 18522 18560 18792 18816 19208 19488 19845 19894 20160 20184 20480 20580 20736 20880 21168 21315 21504 21609 21924 21952 22272 22680 22707 22736 23040 23490 23520 23548 24010 24192 24360 24576 24696 25056 25088 25230 25578 25920 25984 26460 26880 26912 27405 27440 27648 27783 27840 28224 28420 28672 28812 29232 29435 29696 29841 30240 30276 30720 30870 31320 31360 31752 32256 32480 32886 32928 33408 33640 34104 34560 35280 35322 35840 36015 36288 36540 36864 37044 37120 37584 37632 37845 38367 38416 38976 39690 39788 40320 40368 40960 41160 41209 41472 41760 42336 42630 43008 43218 43848 43904 44544 45360 45414 45472 46080 46305 46980 47040 47096 48020 48384 48720 49152 49392 49735 50112 50176 50460 51156 51840 51968 52920 52983 53760 53824 54810 54880 55296 55566 55680 56448 56840 57344 57624 58464 58870 59392 59682 60480 60552 61440 61740 62640 62720 63504 63945 64512 64827 64960 65772 65856 66816 67280 68121 68208 69120 69629 70560 70644 71680 72030 72576 73080 73728 74088 74240 75168 75264 75690 76734 76832 77952 79380 79576 80640 80736 81920 82215 82320 82418 82944 83520 84672 85260 86016 86436 87696 87808 88305 89088 89523 90720 90828 90944 92160 92610 93960 94080 94192 96040 96768 97440 98784 99470 100224 100352 100920 102312 103680 103936 105840 105966 107520 107648 108045 109620 109760 110592 111132 111360 112896 113535 113680 114688 115101 115248 116928 117740 118784 119364 120960 121104 122880 123480 123627 125280 125440 127008 127890 129024 129654 129920 131544 131712 133632 134560 136242 136416 138240 138915 139258 141120 141288 143360 144060 145152 146160 147456 148176 148480 149205 150336 150528 151380 153468 153664 155904 158760 158949 159152 161280 161472 164430 164640 164836 165888 167040 169344 170520 172032 172872 175392 175616 176610 178176 179046 181440 181656 181888 184320 185220 187920 188160 188384 191835 192080 193536 194481 194880 197568 198940 200448 200704 201840 204624 206045 207360 207872 208887 211680 211932 215040 215296 216090 219240 219520 221184 222264 222720 225792 227070 227360 230202 230496 233856 235480 237568 238728 241920 242208 245760 246960 247254 250560 250880 254016 255780 258048 259308 259840 263088 263424 264915 267264 268569 269120 272484 272832 276480 277830 278516 282240 282576 286720 288120 288463 290304 292320 296352 296960 298410 300672 301056 302760 306936 307328 311808 317520 317898 318304 322560 322944 324135 328860 329280 329672 331776 334080 338688 340605 341040 344064 345744 348145 350784 351232 353220 356352 358092 362880 363312 363776 368640 370440 370881 375840 376320 376768 383670 384160 387072 388962 389760 395136 397880 400896 401408 403680 409248 412090 414720 415744 417774 423360 423864 430080 430592 432180 438480 439040 442368 444528 445440 447615 451584 454140 454720 460404 460992 467712 470960 475136 476847 477456 483840 484416 493920 494508 501120 501760 508032 511560 516096 518616 519680 526176 526848 529830 534528 537138 538240 544968 545664 552960 555660 557032 564480 565152 573440 575505 576240 576926 580608 584640 592704 593920 596820 601344 602112 605520 613872 614656 618135 623616 626661 635040 635796 636608 645120 645888 648270 657720 658560 659344 663552 668160 677376 681210 682080 691488 696290 701568 702464 706440 712704 716184 725760 726624 727552 737280 740880 741762 751680 752640 753536 767340 768320 774144 777924 779520 790272 794745 795760 801792 802816 805707 807360 818496 824180 829440 831488 835548 846720 847728 860160 861184 864360 865389 876960 878080 889056 890880 895230 903168 908280 909440 920808 921984 935424 941920 953694 954912 967680 968832 972405 987840 989016 1002240 1003520 1016064 1023120 1032192 1037232 1039360 1044435 1052352 1053696 1059660 1069056 1074276 1076480 1089936 1091328 1105920 1111320 1112643 1114064 1128960 1130304 1151010 1152480 1153852 1161216 1169280 1185408 1187840 1193640 1202688 1204224 1211040 1227744 1229312 1236270 1247232 1253322 1270080 1271592 1273216 1290240 1291776 1296540 1315440 1317120 1318688 1327104 1336320 1342845 1354752 1362420 1364160 1382976 1392580 1403136 1404928 1412880 1425408 1432368 1442315 1451520 1453248 1455104 1481760 1483524 1503360 1505280 1507072 1534680 1536640 1548288 1555848 1559040 1580544 1589490 1591520 1603584 1611414 1614720 1636992 1648360 1658880 1662976 1671096 1693440 1695456 1720320 1722368 1728720 1730778 1753920 1756160 1778112 1781760 1790460 1806336 1816560 1818880 1841616 1843968 1854405 1870848 1879983 1883840 1907388 1909824 1935360 1937664 1944810 1975680 1978032 2004480 2007040 2019241 2032128 2046240 2074464 2078720 2088870 2104704 2107392 2119320 2138112 2148552 2152960 2179872 2182656 2211840 2222640 2225286 2228128 2257920 2260608 2302020 2304960 2307704 2322432 2338560 2370816 2375680 2384235 2387280 2405376 2408448 2422080 2455488 2458624 2472540 2494464 2506644 2540160 2543184 2546432 2580480 2583552 2593080 2596167 2630880 2634240 2637376 2672640 2685690 2709504 2724840 2728320 2765952 2785160 2806272 2809856 2825760 2864736 2884630 2903040 2906496 2910208 2963520 2967048 3006720 3010560 3014144 3069360 3073280 3096576 3111696 3118080 3133305 3161088 3178980 3183040 3207168 3222828 3229440 3273984 3296720 3317760 3325952 3337929 3342192 3386880 3390912 3444736 3457440 3461556 3507840 3512320 3556224 3563520 3580920 3612672 3633120 3637760 3683232 3687936 3708810 3741696 3759966 3767680 3814776 3819648 3870720 3875328 3889620 3951360 3956064 4008960 4014080 4028535 4038482 4064256 4092480 4148928 4157440 4177740 4209408 4214784 4238640 4276224 4297104 4305920 4326945 4359744 4365312 4445280 4450572 4456256 4515840 4521216 4604040 4609920 4615408 4644864 4677120 4741632 4768470 4774560 4810752 4844160 4910976 4917248 4945080 4988928 5013288 5080320 5086368 5092864 5160960 5167104 5186160 5192334 5261760 5268480 5274752 5345280 5371380 5419008 5449680 5456640 5531904 5563215 5570320 5612544 5619712 5639949 5651520 5729472 5769260 5806080 5812992 5820416 5927040 5934096 6013440 6021120 6028288 6057723 6138720 6146560 6223392 6236160 6266610 6322176 6357960 6366080 6414336 6445656 6458880 6547968 6593440 6635520 6675858 6684384 6773760 6781824 6889472 6914880 6923112 7015680 7024640 7112448 7127040 7161840 7225344 7266240 7275520 7366464 7375872 7417620 7483392 7519932 7535360 7629552 7639296 7741440 7750656 7779240 7788501 7902720 7912128 8017920 8057070 8076964 8128512 8184960 8297856 8314880 8355480 8418816 8429568 8477280 8594208 8611840 8653890 8719488 8730624 8890560 8901144 8912512 9031680 9042432 9208080 9219840 9230816 9289728 9354240 9399915 9483264 9536940 9549120 9621504 9688320 9821952 9834496 9890160 9977856 10026576 10096205 10160640 10172736 10185728 10334208 10372320 10384668 10523520 10536960 10549504 10690560 10742760 10838016 10899360 10913280 11063808 11126430 11140640 11225088 11279898 11303040 11458944 11538520 11612160 11625984 11640832 11854080 11868192 12026880 12042240 12056576 12115446 12277440 12293120 12446784 12472320 12533220 12644352 12715920 12732160 12828672 12891312 12917760 12980835 13095936 13186880 13351716 13368768 13547520 13563648 13778944 13829760 13846224 14031360 14049280 14224896 14323680 14532480 14551040 14732928 14751744 14835240 14966784 15039864 15070720 15259104 15278592 15482880 15501312 15558480 15577002 15805440 15824256 16035840 16114140 16153928 16257024 16369920 16595712 16629760 16689645 16710960 16837632 16859136 16954560 17188416 17223680 17307780 17438976 17461248 17781120 17802288 17825024 18063360 18084864 18173169 18416160 18439680 18461632 18708480 18799830 18966528 19073880 19098240 19243008 19376640 19643904 19668992 19780320 20053152 20192410 20321280 20345472 20371456 20668416 20744640 20769336 21047040 21073920 21099008 21381120 21485520 21676032 21798720 21826560 22127616 22252860 22281280 22450176 22559796 22606080 22917888 23077040 23224320 23251968 23281664 23365503 23708160 23736384 24053760 24113152 24230892 24554880 24586240 24893568 24944640 25066440 25288704 25431840 25464320 25782624 25835520 25961670 26191872 26373760 26703432 26737536 27095040 27127296 27659520 27692448 28062720 28098560 28199745 28449792 28647360 29064960 29102080 29465856 29503488 29670480 29933568 30079728 30141440 30288615 30518208 30557184 31002624 31116960 31154004 31610880 31648512 32071680 32228280 32307856 32514048 32739840 33191424 33379290 33421920 33675264 33909120 34376832 34447360 34615560 34877952 34922496 35562240 35604576 35650048 36126720 36169728 36346338 36832320 36879360 36923264 37416960 37599660 37933056 38147760 38196480 38486016 38753280 38942505 39287808 39337984 39560640 40106304 40384820 40642560 40690944 40742912 41336832 41489280 41538672 42094080 42147840 42198016 42971040 43597440 43653120 44255232 44505720 44562560 44900352 45119592 45212160 45835776 46154080 46448640 46503936 46731006 47416320 47472768 48107520 48226304 48461784 49109760 49172480 49787136 49889280 50132880 50577408 50863680 50928640 51565248 51671040 51923340 52383744 52747520 53406864 53475072 54190080 54254592 54519507 55319040 55384896 56125440 56399490 56899584 57294720 58129920 58204160 58931712 59006976 59340960 60159456 60282880 60577230 61036416 61114368 62005248 62233920 62308008 63221760 63297024 64143360 64456560 64615712 65028096 65479680 66382848 66758580 66843840 67350528 67818240 68753664 68894720 69231120 69755904 69844992 71124480 71209152 71300096 72339456 72692676 73664640 73758720 73846528 74833920 75199320 75866112 76295520 76392960 77506560 77885010 78575616 79121280 80212608 80769640 81285120 81381888 81485824 82978560 83077344 84188160 84295680 84396032 85942080 87194880 87306240 88510464 89011440 89125120 89800704 90239184 90424320 90865845 91671552 92308160 93007872 93462012 94832640 94945536 96215040 96452608 96923568 98219520 98344960 99574272 100265760 101727360 101857280 103130496 103342080 103846680 104767488 105495040 106813728 106950144 108380160 108509184 109039014 110638080 110769792 112250880 112798980 113799168 114589440 116259840 116408320 116827515 117863424 118013952 118681920 120318912 120565760 121154460 122072832 122228736 124010496 124467840 124616016 126443520 126594048 128913120 129231424 130959360 132765696 133517160 133687680 134701056 135636480 137507328 138462240 139511808 142248960 142418304 142600192 144678912 145385352 147329280 147517440 147693056 149667840 150398640 151732224 152591040 152785920 155013120 155770020 157151232 158242560 160425216 161539280 162570240 162763776 162971648 163558521 165957120 166154688 168376320 168792064 171884160 174389760 174612480 177020928 178022880 178250240 180478368 180848640 181731690 183343104 184616320 186015744 186924024 189665280 189891072 192430080 193847136 196439040 196689920 199148544 200531520 203454720 203714560 206260992 206684160 207693360 209534976 210990080 213627456 213900288 217018368 218078028 221276160 221539584 224501760 225597960 227598336 229178880 232519680 233655030 235726848 237363840 240637824 241131520 242308920 244145664 244457472 248935680 249232032 252887040 253188096 257826240 258462848 261918720 265531392 267034320 267375360 269402112 271272960 272597535 275014656 276924480 279023616 284497920 284836608 285200384 289357824 290770704 294658560 295034880 295386112 300797280 305182080 305571840 310026240 311540040 314302464 316485120 320850432 323078560 325140480 325527552 327117042 331914240 332309376 336752640 337584128 343768320 348779520 349224960 354041856 356045760 356500480 360956736 361697280 363463380 366686208 369232640 372031488 373848048 379330560 379782144 387694272 392878080 398297088 401063040 406909440 407429120 412521984 415386720 421980160 427254912 427800576 434036736 436156056 442552320 443079168 449003520 451195920 455196672 458357760 465039360 467310060 471453696 474727680 481275648 482263040 484617840 488291328 488914944 497871360 498464064 506376192 515652480 516925696 523837440 531062784 534068640 534750720 542545920 545195070 550029312 553848960 558047232 568995840 569673216 570400768 581541408 589317120 590069760 590772224 601594560 610364160 611143680 620052480 623080080 628604928 632970240 641700864 646157120 651055104 654234084 663828480 664618752 673505280 675168256 687536640 697559040 712091520 713000960 721913472 723394560 726926760 733372416 738465280 747696096 758661120 759564288 775388544 785756160 796594176 802126080 813818880 814858240 817792605 825043968 830773440 843960320 854509824 855601152 868073472 872312112 885104640 886158336 902391840 916715520 930078720 934620120 942907392 949455360 962551296 969235680 976582656 995742720 996928128 1012752384 1031304960 1033851392 1047674880 1062125568 1068137280 1069501440 1085091840 1090390140 1100058624 1107697920 1116094464 1137991680 1139346432 1140801536 1163082816 1178634240 1181544448 1203189120 1220728320 1222287360 1246160160 1265940480 1283401728 1292314240 1302110208 1308468168 1327656960 1329237504 1347010560 1375073280 1395118080 1424183040 1426001920 1443826944 1446789120 1453853520 1466744832 1476930560 1495392192 1519128576 1550777088 1571512320 1593188352 1604252160 1627637760 1635585210 1650087936 1661546880 1687920640 1709019648 1711202304 1744624224 1770209280 1772316672 1804783680 1833431040 1860157440 1869240240 1885814784 1898910720 1925102592 1938471360 1953165312 1991485440 1993856256 2025504768 2062609920 2067702784 2136274560 2139002880 2170183680 2180780280 2200117248 2215395840 2275983360 2278692864 2326165632 2357268480 2363088896 2406378240 2441456640 2444574720 2492320320 2531880960 2566803456 2584628480 2604220416 2616936336 2655313920 2658475008 2750146560 2790236160 2848366080 2852003840 2887653888 2907707040 2953861120 2990784384 3038257152 3101554176 3143024640 3186376704 3208504320 3255275520 3271170420 3300175872 3323093760 3375841280 3418039296 3422404608 3489248448 3544633344 3609567360 3666862080 3738480480 3797821440 3850205184 3876942720 3906330624 3982970880 3987712512 4125219840 4135405568 4272549120 4278005760 4340367360 4361560560 4400234496 4430791680 4557385728 4652331264 4714536960 4726177792 4812756480 4882913280 4984640640 5063761920 5133606912 5169256960 5233872672 5310627840 5316950016 5500293120 5580472320 5696732160 5704007680 5775307776 5815414080 5907722240 5981568768 6076514304 6203108352 6417008640 6510551040 6542340840 6600351744 6646187520 6836078592 6978496896 7089266688 7219134720 7333724160 7476960960 7595642880 7700410368 7753885440 7812661248 7965941760 7975425024 8250439680 8270811136 8545098240 8556011520 8723121120 8861583360 9114771456 9304662528 9429073920 9625512960 9765826560 9969281280 10127523840 10267213824 10338513920 10467745344 10633900032 11000586240 11393464320 11550615552 11630828160 11815444480 11963137536 12406216704 12834017280 13021102080 13084681680 13200703488 13292375040 13672157184 13956993792 14178533376 14438269440 14953921920 15191285760 15400820736 15507770880 15931883520 15950850048 16500879360 16541622272 17090196480 17112023040 17446242240 17723166720 18229542912 18609325056 19251025920 19531653120 19938562560 20677027840 20935490688 21267800064 22001172480 22786928640 23101231104 23261656320 23630888960 23926275072 24812433408 25668034560 26169363360 26584750080 27344314368 27913987584 28876538880 29907843840 30382571520 30801641472 31015541760 31901700096 33001758720 33083244544 34180392960 34892484480 35446333440 37218650112 38502051840 39063306240 39877125120 41354055680 41870981376 42535600128 45573857280 46202462208 46523312640 47852550144 49624866816 51336069120 52338726720 53169500160 54688628736 55827975168 57753077760 59815687680 62031083520 63803400192 66003517440 68360785920 69784968960 70892666880 74437300224 77004103680 79754250240 82708111360 83741962752 91147714560 92404924416 93046625280 95705100288 99249733632 104677453440 106339000320 111655950336 115506155520 119631375360 124062167040 127606800384 136721571840 139569937920 148874600448 154008207360 159508500480 165416222720 167483925504 186093250560 191410200576 209354906880 212678000640 223311900672 231012311040 239262750720 248124334080 273443143680 279139875840 297749200896 319017000960 334967851008 372186501120 382820401152 418709813760 446623801344 462024622080 478525501440 496248668160 558279751680 638034001920 669935702016 744373002240 837419627520 893247602688 957051002880 1116559503360 1339871404032 1488746004480 1674839255040 1914102005760 2233119006720 2679742808064 3349678510080 4466238013440 6699357020160 13398714040320
- Sum of all divisors σ(n): 58036947950982
- Sum of proper divisors (its aliquot sum) s(n): 44638233910662
- 13398714040320 is an abundant number, because the sum of its proper divisors (44638233910662) is greater than itself. Its abundance is 31239519870342
Bases of 13398714040320
- Binary: 110000101111101000011001011101000000000000002
- Hexadecimal: 0xC2FA1974000
- Base-36: 4QZA8E800
Squares and roots of 13398714040320
- 13398714040320 squared (133987140403202) is 179525537934268298585702400
- 13398714040320 cubed (133987140403203) is 2405411345715881421526128745689120768000
-
The
square root of 13398714040320 is 3660425.3906233357 -
The
cube root of 13398714040320 is 23751.3175499949
Scales and comparisons
How big is 13398714040320?- 13,398,714,040,320 seconds is equal to 426,037 years, 34 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 13,398,714,040,320 would take you about one million, sixty-five thousand and ninety-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 13398714040320 cubic inches would be around 1979.3 feet tall.
Recreational maths with 13398714040320
- 13398714040320 backwards is 02304041789331
- 13398714040320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13398714040320'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 13398714040320 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 13398714040320 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13398714040320/
Chicago style:
Numbermatics. 2024. "Number 13398714040320 - Facts about the integer". https://numbermatics.com/n/13398714040320/
The information we have on file for 13398714040320 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 13398714040320, math, Factors of 13398714040320, curriculum, school, college, exams, university, Prime factorization of 13398714040320, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, three hundred ninety-eight billion, seven hundred fourteen million, forty thousand, three hundred twenty.