13681945728000
13,681,945,728,000 is an even composite number composed of seven prime numbers multiplied together.
13681945728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13681945728000:
210 × 32 × 53 × 11 × 29 × 31 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 31 × 1201)See below for interesting mathematical facts about the number 13681945728000 from the Numbermatics database.
Names of 13681945728000
- Cardinal: 13681945728000 can be written as Thirteen trillion, six hundred eighty-one billion, nine hundred forty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3681945728 × 1013
Factors of 13681945728000
Divisors of 13681945728000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 31 32 33 36 40 44 45 48 50 55 58 60 62 64 66 72 75 80 87 88 90 93 96 99 100 110 116 120 124 125 128 132 144 145 150 155 160 165 174 176 180 186 192 198 200 220 225 232 240 248 250 256 261 264 275 279 288 290 300 310 319 320 330 341 348 352 360 372 375 384 396 400 435 440 450 464 465 480 495 496 500 512 522 528 550 558 576 580 600 620 638 640 660 682 696 704 720 725 744 750 768 775 792 800 825 870 880 899 900 928 930 957 960 990 992 1000 1023 1024 1044 1056 1100 1116 1125 1152 1160 1200 1201 1240 1276 1280 1305 1320 1364 1375 1392 1395 1408 1440 1450 1488 1500 1536 1550 1584 1595 1600 1650 1705 1740 1760 1798 1800 1856 1860 1914 1920 1980 1984 2000 2046 2088 2112 2175 2200 2232 2250 2304 2320 2325 2400 2402 2475 2480 2552 2560 2610 2640 2697 2728 2750 2784 2790 2816 2871 2880 2900 2976 3000 3069 3072 3100 3168 3190 3200 3300 3410 3480 3520 3596 3600 3603 3625 3712 3720 3828 3840 3875 3960 3968 4000 4092 4125 4176 4224 4350 4400 4464 4495 4500 4608 4640 4650 4785 4800 4804 4950 4960 5104 5115 5120 5220 5280 5394 5456 5500 5568 5580 5632 5742 5760 5800 5952 6000 6005 6138 6200 6336 6380 6400 6525 6600 6820 6960 6975 7040 7192 7200 7206 7250 7424 7440 7656 7680 7750 7920 7936 7975 8000 8091 8184 8250 8352 8448 8525 8700 8800 8928 8990 9000 9216 9280 9300 9570 9600 9608 9889 9900 9920 10208 10230 10440 10560 10788 10809 10875 10912 11000 11136 11160 11264 11484 11520 11600 11625 11904 12000 12010 12276 12375 12400 12672 12760 12800 13050 13200 13211 13485 13640 13920 13950 14080 14355 14384 14400 14412 14500 14848 14880 15312 15345 15360 15500 15840 15872 15950 16000 16182 16368 16500 16704 16896 17050 17400 17600 17856 17980 18000 18015 18560 18600 19140 19200 19216 19778 19800 19840 20416 20460 20880 21120 21576 21618 21750 21824 22000 22272 22320 22475 22968 23040 23200 23250 23808 23925 24000 24020 24552 24750 24800 25344 25520 25575 25600 26100 26400 26422 26970 27280 27840 27900 28160 28710 28768 28800 28824 29000 29667 29696 29760 30025 30624 30690 31000 31680 31744 31900 32000 32364 32625 32736 33000 33408 33792 34100 34800 34829 34875 35200 35712 35960 36000 36030 37120 37200 37231 38280 38400 38432 39556 39600 39633 39680 39875 40455 40832 40920 41760 42240 42625 43152 43236 43500 43648 44000 44544 44640 44950 45936 46080 46400 46500 47616 47850 48000 48040 49104 49445 49500 49600 50688 51040 51150 52200 52800 52844 53940 54045 54560 55680 55800 56320 57420 57536 57600 57648 58000 59334 59520 60050 61248 61380 62000 63360 63800 64000 64728 65250 65472 66000 66055 66816 67425 68200 69600 69658 69750 70400 71424 71775 71920 72000 72060 74240 74400 74462 76560 76725 76800 76864 79112 79200 79266 79360 79750 80910 81664 81840 83520 84480 85250 86304 86472 87000 87296 88000 89001 89088 89280 89900 90075 91872 92800 93000 95232 95700 96000 96080 98208 98890 99000 99200 101376 102080 102300 104400 104487 105600 105688 107880 108090 109120 111360 111600 111693 112375 114840 115072 115200 115296 116000 118668 118899 119040 119625 120100 122496 122760 124000 126720 127600 127875 128000 129456 130500 130944 132000 132110 133632 134850 136400 139200 139316 139500 140800 142848 143550 143840 144000 144120 148335 148480 148800 148924 150125 153120 153450 153728 158224 158400 158532 158720 159500 161820 163328 163680 167040 168960 170500 172608 172944 174000 174145 174592 176000 178002 178560 179800 180150 183744 185600 186000 186155 191400 192000 192160 196416 197780 198000 198165 198400 202275 204160 204600 208800 208974 211200 211376 215760 216180 218240 222720 223200 223386 224750 229680 230144 230400 230592 232000 237336 237798 238080 239250 240200 244992 245520 247225 248000 253440 255200 255750 258912 261000 261888 264000 264220 267264 269700 270225 272800 278400 278632 279000 281600 285696 287100 287680 288000 288240 296670 297600 297848 300250 306240 306900 307456 313461 316448 316800 317064 319000 323640 326656 327360 330275 334080 335079 337125 341000 345216 345888 348000 348290 349184 352000 356004 357120 358875 359600 360300 367488 371200 372000 372310 382800 383119 383625 384000 384320 392832 395560 396000 396330 396800 404550 408320 409200 409541 417600 417948 422400 422752 431520 432360 436480 445005 445440 446400 446772 449500 450375 459360 460288 461184 464000 474672 475596 476160 478500 480400 489984 491040 494450 496000 506880 510400 511500 517824 522000 522435 523776 528000 528440 539400 540450 545600 556800 557264 558000 558465 574200 575360 576000 576480 593340 594495 595200 595696 600500 612480 613800 614912 626922 632896 633600 634128 638000 647280 654720 660550 668160 670158 674250 682000 690432 691776 696000 696580 704000 712008 714240 717750 719200 720600 734976 741675 742400 744000 744620 765600 766238 767250 768640 785664 791120 792000 792660 793600 809100 816640 818400 819082 835200 835896 844800 845504 863040 864720 870725 872960 890010 892800 893544 899000 900750 918720 920576 922368 928000 930775 949344 951192 957000 960800 979968 982080 988900 990825 992000 1011375 1020800 1023000 1035648 1044000 1044870 1047552 1056000 1056880 1078800 1079699 1080900 1091200 1113600 1114528 1116000 1116930 1148400 1149357 1150720 1152000 1152960 1186680 1188990 1190400 1191392 1201000 1224960 1227600 1228623 1229824 1236125 1253844 1265792 1267200 1268256 1276000 1294560 1309440 1321100 1336320 1340316 1348500 1351125 1364000 1380864 1383552 1392000 1393160 1408000 1424016 1428480 1435500 1438400 1441200 1469952 1483350 1488000 1489240 1531200 1532476 1534500 1537280 1567305 1571328 1582240 1584000 1585320 1618200 1633280 1636800 1638164 1651375 1670400 1671792 1675395 1691008 1726080 1729440 1741450 1745920 1780020 1785600 1787088 1798000 1801500 1837440 1844736 1856000 1861550 1898688 1902384 1914000 1915595 1921600 1964160 1977800 1981650 1984000 2022750 2041600 2046000 2047705 2071296 2088000 2089740 2112000 2113760 2157600 2159398 2161800 2182400 2225025 2227200 2229056 2232000 2233860 2296800 2298714 2301440 2305920 2373360 2377980 2380800 2382784 2402000 2449920 2455200 2457246 2472250 2507688 2531584 2534400 2536512 2552000 2589120 2612175 2618880 2642200 2680632 2697000 2702250 2728000 2761728 2767104 2784000 2786320 2792325 2848032 2871000 2876800 2882400 2939904 2966700 2972475 2976000 2978480 3062400 3064952 3069000 3074560 3134610 3142656 3164480 3168000 3170640 3236400 3239097 3273600 3276328 3302750 3340800 3343584 3350790 3382016 3448071 3452160 3458880 3482900 3560040 3571200 3574176 3596000 3603000 3674880 3685869 3689472 3708375 3712000 3723100 3797376 3804768 3828000 3831190 3843200 3928320 3955600 3963300 3968000 4045500 4083200 4092000 4095410 4142592 4176000 4179480 4224000 4227520 4315200 4318796 4323600 4353625 4364800 4450050 4458112 4464000 4467720 4593600 4597428 4602880 4611840 4653875 4746720 4755960 4765568 4804000 4899840 4910400 4914492 4944500 4954125 5015376 5063168 5073024 5104000 5178240 5224350 5237760 5284400 5361264 5394000 5398495 5404500 5456000 5534208 5568000 5572640 5584650 5696064 5742000 5746785 5753600 5764800 5933400 5944950 5952000 5956960 6124800 6129904 6138000 6143115 6149120 6269220 6328960 6336000 6341280 6472800 6478194 6547200 6552656 6605500 6681600 6687168 6701580 6764032 6896142 6904320 6917760 6965800 7120080 7142400 7148352 7192000 7206000 7349760 7371738 7416750 7446200 7594752 7609536 7656000 7662380 7686400 7836525 7856640 7911200 7926600 8091000 8166400 8184000 8190820 8285184 8352000 8358960 8376975 8455040 8630400 8637592 8647200 8707250 8729600 8900100 8916224 8928000 8935440 9187200 9194856 9223680 9307750 9493440 9511920 9531136 9577975 9608000 9717291 9820800 9828984 9889000 9908250 10030752 10126336 10146048 10208000 10238525 10356480 10448700 10568800 10722528 10788000 10796990 10809000 10912000 11068416 11125125 11136000 11145280 11169300 11392128 11484000 11493570 11507200 11529600 11866800 11876689 11889900 11904000 11913920 12249600 12259808 12276000 12286230 12538440 12657920 12672000 12682560 12945600 12956388 13060875 13094400 13105312 13211000 13374336 13403160 13528064 13792284 13808640 13835520 13931600 13961625 14240160 14296704 14384000 14412000 14699520 14743476 14833500 14862375 14892400 15189504 15219072 15312000 15324760 15372800 15673050 15713280 15822400 15853200 16182000 16195485 16368000 16381640 16704000 16717920 16753950 16910080 17240355 17260800 17275184 17294400 17414500 17800200 17832448 17856000 17870880 18374400 18389712 18429345 18447360 18615500 18986880 19023840 19062272 19155950 19216000 19434582 19641600 19657968 19778000 19816500 20061504 20292096 20416000 20477050 20712960 20897400 21137600 21445056 21576000 21593980 21618000 21824000 22250250 22290560 22338600 22784256 22968000 22987140 23014400 23059200 23733600 23753378 23779800 23827840 24499200 24519616 24552000 24572460 25076880 25315840 25365120 25891200 25912776 26121750 26188800 26210624 26422000 26748672 26806320 26992475 27584568 27671040 27863200 27923250 28480320 28593408 28733925 28768000 28824000 29486952 29667000 29724750 29784800 30379008 30438144 30624000 30649520 30715575 30745600 31346100 31644800 31706400 32364000 32390970 32736000 32763280 33408000 33435840 33507900 33820160 34480710 34521600 34550368 34588800 34829000 35600400 35630067 35664896 35712000 35741760 36748800 36779424 36858690 37231000 37973760 38047680 38124544 38311900 38432000 38869164 39182625 39283200 39315936 39556000 39633000 40123008 40584192 40832000 40954100 41425920 41794800 41884875 42275200 42890112 43152000 43187960 43236000 43648000 44500500 44581120 44677200 45568512 45936000 45974280 46118400 47467200 47506756 47559600 47655680 47889875 48586455 49039232 49104000 49144920 50153760 50631680 50730240 51192625 51782400 51825552 52243500 52421248 52844000 53497344 53612640 53984950 55169136 55342080 55726400 55846500 56960640 57186816 57467850 57536000 57648000 58973904 59334000 59383445 59449500 59569600 60876288 61248000 61299040 61431150 62692200 63289600 63412800 64728000 64781940 65472000 65526560 66871680 67015800 67640320 68961420 69043200 69100736 69177600 69658000 71200800 71260134 71483520 73497600 73558848 73717380 74462000 75947520 76095360 76623800 76864000 77738328 78365250 78566400 78631872 79112000 79266000 80246016 80977425 81908200 83589600 83769750 84550400 85780224 86201775 86304000 86375920 86472000 89001000 89162240 89354400 91137024 91872000 91948560 92146725 92236800 94934400 95013512 95119200 95311360 95779750 97172910 98078464 98208000 98289840 100307520 101460480 102385250 103564800 103651104 104487000 104842496 105688000 106890201 106994688 107225280 107969900 110338272 111452800 111693000 113921280 114373632 114935700 115072000 115296000 117947808 118668000 118766890 118899000 119139200 121752576 122496000 122598080 122862300 125384400 126579200 126825600 129456000 129563880 130944000 131053120 133743360 134031600 134962375 137922840 138201472 138355200 139316000 142401600 142520268 142967040 143669625 147117696 147434760 148924000 151895040 152190720 153247600 153577875 153728000 155476656 156730500 157263744 158224000 158532000 160492032 161954850 163816400 167179200 167539500 169100800 171560448 172403550 172608000 172751840 172944000 178002000 178150335 178324480 178708800 183744000 183897120 184293450 189868800 190027024 190238400 190622720 191559500 194345820 196156928 196416000 196579680 200615040 202920960 204770500 207129600 207302208 208974000 209684992 211376000 213780402 214450560 215939800 220676544 222905600 223386000 227842560 229871400 230592000 235895616 237336000 237533780 237798000 238278400 242932275 245196160 245724600 250768800 253158400 253651200 258912000 259127760 262106240 267486720 268063200 269924750 275845680 276402944 276710400 278632000 284803200 285040536 285934080 287339250 294235392 294869520 296917225 297848000 304381440 306495200 307155750 310953312 313461000 314527488 316448000 317064000 320984064 323909700 327632800 334358400 335079000 338201600 343120896 344807100 345216000 345503680 345888000 356004000 356300670 357417600 367488000 367794240 368586900 379737600 380054048 380476800 383119000 388691640 392313856 392832000 393159360 401230080 404887125 409541000 414604416 417948000 419369984 422752000 427560804 428901120 431008875 431879600 441353088 445811200 446772000 455685120 459742800 460733625 461184000 471791232 474672000 475067560 475596000 476556800 485864550 490392320 491449200 501537600 507302400 517824000 518255520 524212480 534451005 534973440 536126400 539849500 551691360 552805888 557264000 569606400 570081072 571868160 574678500 588470784 589739040 593834450 595696000 608762880 612990400 614311500 621906624 626922000 629054976 632896000 634128000 647819400 655265600 668716800 670158000 689614200 691007360 691776000 712008000 712601340 714835200 735588480 737173800 759475200 760108096 760953600 766238000 777383280 786318720 802460160 809774250 819082000 829208832 835896000 845504000 855121608 857802240 862017750 863759200 882706176 890751675 891622400 893544000 919485600 921467250 943582464 949344000 950135120 951192000 953113600 971729100 980784640 982898400 1003075200 1014604800 1035648000 1036511040 1048424960 1068902010 1072252800 1079699000 1103382720 1105611776 1114528000 1139212800 1140162144 1149357000 1176941568 1179478080 1187668900 1191392000 1214661375 1225980800 1228623000 1243813248 1253844000 1258109952 1265792000 1268256000 1295638800 1310531200 1337433600 1340316000 1379228400 1382014720 1383552000 1424016000 1425202680 1429670400 1471176960 1474347600 1484586125 1520216192 1521907200 1532476000 1554766560 1572637440 1604920320 1619548500 1638164000 1658417664 1671792000 1691008000 1710243216 1715604480 1724035500 1727518400 1765412352 1781503350 1787088000 1838971200 1842934500 1887164928 1898688000 1900270240 1902384000 1943458200 1961569280 1965796800 2006150400 2073022080 2096849920 2137804020 2144505600 2159398000 2206765440 2229056000 2278425600 2280324288 2298714000 2358956160 2375337800 2382784000 2429322750 2451961600 2457246000 2487626496 2507688000 2536512000 2591277600 2621062400 2672255025 2674867200 2680632000 2758456800 2764029440 2848032000 2850405360 2859340800 2942353920 2948695200 2969172250 3040432384 3043814400 3064952000 3109533120 3145274880 3239097000 3276328000 3316835328 3343584000 3420486432 3448071000 3455036800 3530824704 3563006700 3574176000 3677942400 3685869000 3774329856 3797376000 3800540480 3804768000 3886916400 3931593600 4012300800 4146044160 4275608040 4289011200 4318796000 4413530880 4453758375 4458112000 4560648576 4597428000 4717912320 4750675600 4765568000 4858645500 4903923200 4914492000 4975252992 5015376000 5073024000 5182555200 5242124800 5344510050 5361264000 5516913600 5528058880 5696064000 5700810720 5884707840 5897390400 5938344500 6080864768 6129904000 6219066240 6290549760 6478194000 6552656000 6687168000 6840972864 6896142000 6910073600 7126013400 7148352000 7355884800 7371738000 7601080960 7609536000 7773832800 7863187200 8024601600 8292088320 8551216080 8578022400 8637592000 8827061760 8907516750 9121297152 9194856000 9435824640 9501351200 9717291000 9807846400 9828984000 9950505984 10030752000 10365110400 10484249600 10689020100 10722528000 11033827200 11392128000 11401621440 11794780800 11876689000 12161729536 12259808000 12438132480 12956388000 13105312000 13361275125 13374336000 13681945728 13792284000 13820147200 14252026800 14296704000 14711769600 14743476000 15202161920 15219072000 15547665600 15726374400 16584176640 17102432160 17275184000 17654123520 17815033500 18242594304 18389712000 18871649280 19002702400 19434582000 19657968000 20061504000 20730220800 21378040200 21445056000 22067654400 22803242880 23589561600 23753378000 24519616000 24876264960 25912776000 26210624000 26722550250 27363891456 27584568000 27640294400 28504053600 29423539200 29486952000 30404323840 31095331200 31452748800 34204864320 34550368000 35630067000 36485188608 36779424000 38005404800 38869164000 39315936000 40123008000 41460441600 42756080400 42890112000 44135308800 45606485760 47179123200 47506756000 49039232000 49752529920 51825552000 52421248000 53445100500 54727782912 55169136000 57008107200 58973904000 60808647680 62190662400 68409728640 69100736000 71260134000 73558848000 76010809600 77738328000 78631872000 82920883200 85512160800 88270617600 91212971520 94358246400 95013512000 103651104000 106890201000 109455565824 110338272000 114016214400 117947808000 124381324800 136819457280 138201472000 142520268000 147117696000 152021619200 155476656000 157263744000 171024321600 182425943040 190027024000 207302208000 213780402000 220676544000 228032428800 235895616000 248762649600 273638914560 285040536000 304043238400 310953312000 342048643200 380054048000 414604416000 427560804000 441353088000 456064857600 471791232000 547277829120 570081072000 621906624000 684097286400 760108096000 855121608000 912129715200 1140162144000 1243813248000 1368194572800 1520216192000 1710243216000 2280324288000 2736389145600 3420486432000 4560648576000 6840972864000 13681945728000
- Sum of all divisors σ(n): 57483438704640
- Sum of proper divisors (its aliquot sum) s(n): 43801492976640
- 13681945728000 is an abundant number, because the sum of its proper divisors (43801492976640) is greater than itself. Its abundance is 30119547248640
Bases of 13681945728000
- Binary: 110001110001100100111000001111010100000000002
- Hexadecimal: 0xC719383D400
- Base-36: 4ULED88W0
Squares and roots of 13681945728000
- 13681945728000 squared (136819457280002) is 187195638903937449984000000
- 13681945728000 cubed (136819457280003) is 2561200572001957596187802468352000000000
-
The
square root of 13681945728000 is 3698911.4247302545 -
The
cube root of 13681945728000 is 23917.5094628091
Scales and comparisons
How big is 13681945728000?- 13,681,945,728,000 seconds is equal to 435,043 years, 28 weeks, 5 days, 8 hours.
-
To count from 1 to 13,681,945,728,000 would take you about one million, eighty-seven thousand, six hundred eight 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 13681945728000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13681945728000
- 13681945728000 backwards is 00082754918631
- The number of decimal digits it has is: 14
- The sum of 13681945728000's digits is 54
- More coming soon!
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"Number 13681945728000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 13681945728000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/13681945728000/
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The information we have on file for 13681945728000 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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