106415354864000
106,415,354,864,000 is an even composite number composed of six prime numbers multiplied together.
106415354864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 106415354864000:
27 × 53 × 74 × 132 × 37 × 443
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 37 × 443)See below for interesting mathematical facts about the number 106415354864000 from the Numbermatics database.
Names of 106415354864000
- Cardinal: 106415354864000 can be written as One hundred six trillion, four hundred fifteen billion, three hundred fifty-four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.06415354864 × 1014
Factors of 106415354864000
Divisors of 106415354864000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 49 50 52 56 64 65 70 74 80 91 98 100 104 112 125 128 130 140 148 160 169 175 182 185 196 200 208 224 245 250 259 260 280 296 320 325 338 343 350 364 370 392 400 416 443 448 455 481 490 500 518 520 560 592 637 640 650 676 686 700 728 740 784 800 832 845 875 886 896 910 925 962 980 1000 1036 1040 1120 1183 1184 1225 1274 1295 1300 1352 1372 1400 1456 1480 1568 1600 1625 1664 1690 1715 1750 1772 1813 1820 1850 1924 1960 2000 2072 2080 2215 2240 2275 2366 2368 2401 2405 2450 2548 2590 2600 2704 2744 2800 2912 2960 3101 3136 3185 3200 3250 3367 3380 3430 3500 3544 3626 3640 3700 3848 3920 4000 4144 4160 4225 4430 4459 4480 4550 4625 4732 4736 4802 4810 4900 5096 5180 5200 5408 5488 5600 5759 5824 5915 5920 6125 6202 6253 6272 6370 6475 6500 6734 6760 6860 7000 7088 7252 7280 7400 7696 7840 8000 8281 8288 8320 8450 8575 8860 8918 9065 9100 9250 9464 9604 9620 9800 10192 10360 10400 10816 10976 11075 11200 11375 11518 11648 11830 11840 12005 12025 12250 12404 12506 12691 12740 12950 13000 13468 13520 13720 14000 14176 14504 14560 14800 15392 15505 15680 15925 16000 16391 16562 16576 16835 16900 17150 17720 17836 18130 18200 18500 18928 19208 19240 19600 20384 20720 20800 21125 21632 21707 21952 22150 22295 22400 22750 23036 23569 23660 23680 24010 24050 24500 24808 25012 25382 25480 25900 26000 26936 27040 27440 28000 28352 28795 29008 29120 29575 29600 30784 31010 31213 31265 31360 31850 32375 32782 33124 33152 33670 33800 34300 35440 35672 36260 36400 37000 37856 38416 38480 39200 40313 40768 41405 41440 41600 42250 42875 43414 43771 43904 44300 44590 45325 45500 46072 47138 47320 48020 48100 49000 49616 50024 50764 50960 51800 52000 53872 54080 54880 55375 56000 56704 57590 57967 58016 58240 59150 59200 60025 60125 61568 62020 62426 62530 63455 63700 64750 65564 66248 67340 67600 68600 70880 71344 72520 72800 74000 74867 75712 76832 76960 77525 78400 79625 80626 81536 81955 82810 82880 84175 84500 85750 86828 87542 88600 88837 89180 90650 91000 92144 94276 94640 96040 96200 98000 99232 100048 101528 101920 103600 104000 107744 108160 108535 109760 110750 111475 112000 114737 115180 115934 116032 117845 118300 118400 120050 120250 124040 124852 125060 126910 127400 129500 131128 132496 134680 135200 137200 141760 142688 143975 145040 145600 147875 148000 149734 151424 151949 153664 153920 155050 156065 156325 156800 159250 161252 163910 164983 165620 165760 168350 169000 171500 173656 175084 177200 177674 178360 181300 182000 184288 188552 189280 192080 192400 196000 198464 200096 201565 203056 203840 207025 207200 208000 213083 215488 217070 218855 219520 221500 222950 226625 229474 230360 231868 232064 235690 236600 240100 240500 248080 249704 250120 253820 254800 259000 262256 264992 269360 270400 274400 282191 283520 285376 287950 289835 290080 291200 295750 296000 299468 300125 303898 306397 307328 307840 310100 312130 312650 317275 318500 322504 327820 329966 331240 336700 338000 343000 347312 350168 354400 355348 356720 362600 364000 368576 374335 377104 378560 384160 384800 387625 392000 396928 400192 403130 405769 406112 407680 409775 414050 414400 420875 426166 430976 434140 437710 443000 444185 445900 453250 458948 460720 463736 471380 473200 480200 481000 496160 499408 500240 507640 509600 518000 524069 524512 529984 538720 540800 542675 548800 557375 564382 570752 573685 575900 579670 580160 589225 591500 592000 598936 600250 607796 612794 620200 624260 625300 634550 637000 645008 655640 659932 662480 673400 676000 686000 694624 700336 708800 710696 713440 719875 725200 728000 737152 748670 754208 757120 759745 768320 769600 775250 780325 781625 784000 800384 803159 806260 811538 812224 819550 824915 828100 828800 841750 852332 868280 875420 886000 888370 891800 906500 917896 921440 927472 942760 946400 960400 962000 992320 998816 1000480 1007825 1015280 1019200 1035125 1036000 1048138 1049024 1059968 1063643 1065415 1077440 1085350 1094275 1097600 1114750 1128764 1147370 1151800 1154881 1159340 1160320 1178450 1183000 1197872 1200500 1215592 1225588 1240400 1248520 1250600 1269100 1274000 1290016 1311280 1319864 1324960 1346800 1352000 1372000 1389248 1400672 1410955 1417600 1421392 1426880 1439750 1449175 1450400 1456000 1491581 1497340 1508416 1519490 1531985 1536640 1539200 1550500 1560650 1563250 1586375 1606318 1612520 1623076 1624448 1639100 1649830 1656200 1683500 1704664 1736560 1750840 1772000 1776740 1783600 1813000 1835792 1842880 1854944 1871675 1885520 1892800 1920800 1924000 1975337 1984640 1997632 2000960 2015650 2028845 2030560 2038400 2048875 2070250 2072000 2096276 2098048 2127286 2130830 2144779 2154880 2170700 2188550 2220925 2229500 2257528 2294740 2303600 2309762 2318680 2356900 2366000 2395744 2401000 2431184 2451176 2480800 2497040 2501200 2538200 2548000 2580032 2620345 2622560 2639728 2649920 2693600 2704000 2713375 2744000 2770079 2778496 2801344 2821910 2842784 2853760 2868425 2879500 2898350 2900800 2946125 2983162 2994680 3016832 3038980 3063970 3101000 3121300 3126500 3172750 3212636 3225040 3246152 3278200 3299660 3312400 3367000 3409328 3473120 3501680 3544000 3553480 3567200 3626000 3668483 3671584 3685760 3709888 3743350 3771040 3785600 3798725 3841600 3848000 3901625 3950674 3995264 4001920 4015795 4031300 4057690 4061120 4097750 4124575 4140500 4144000 4192552 4254572 4261660 4289558 4341400 4377100 4441850 4459000 4515056 4589480 4607200 4619524 4637360 4713800 4732000 4791488 4802000 4862368 4902352 4961600 4994080 5002400 5039125 5076400 5096000 5160064 5240690 5245120 5279456 5299840 5318215 5327075 5387200 5426750 5471375 5488000 5540158 5602688 5622113 5643820 5685568 5736850 5759000 5774405 5796700 5801600 5892250 5966324 5989360 6077960 6127940 6202000 6242600 6253000 6345500 6425272 6450080 6492304 6556400 6599320 6624800 6734000 6818656 6946240 7003360 7054775 7088000 7106960 7134400 7245875 7252000 7336966 7343168 7419776 7457905 7486700 7542080 7597450 7659925 7683200 7696000 7803250 7901348 8031590 8062600 8115380 8122240 8195500 8249150 8281000 8385104 8509144 8523320 8579116 8682800 8754200 8883700 8918000 9030112 9178960 9214400 9239048 9274720 9358375 9427600 9464000 9582976 9604000 9724736 9804704 9876685 9923200 9988160 10004800 10078250 10144225 10152800 10192000 10441067 10481380 10490240 10558912 10636430 10654150 10723895 10774400 10853500 10942750 11080316 11104625 11244226 11287640 11371136 11473700 11518000 11548810 11593400 11784500 11932648 11978720 12155920 12255880 12404000 12485200 12506000 12691000 12850544 12900160 12984608 13101725 13112800 13198640 13249600 13468000 13637312 13827359 13850395 13892480 14006720 14109550 14213920 14268800 14342125 14491750 14504000 14673932 14686336 14915810 14973400 15013453 15084160 15194900 15319850 15606500 15802696 16063180 16125200 16230760 16391000 16498300 16562000 16770208 17018288 17046640 17158232 17365600 17508400 17767400 17836000 18060224 18342415 18357920 18428800 18478096 18549440 18716750 18855200 18928000 18993625 19208000 19390553 19449472 19609408 19753370 19976320 20009600 20078975 20156500 20288450 20305600 20622875 20882134 20962760 21117824 21272860 21308300 21447790 21707000 21885500 22160632 22209250 22488452 22575280 22947400 23036000 23097620 23186800 23569000 23865296 23957440 24311840 24511760 24808000 24970400 25012000 25382000 25679381 25701088 25800320 25969216 26203450 26225600 26397280 26499200 26591075 26635375 26936000 27274624 27654718 27700790 28013440 28110565 28219100 28427840 28684250 28872025 28983500 29008000 29347864 29831620 29946800 30026906 30389800 30639700 31213000 31605392 32126360 32250400 32461520 32782000 32996600 33124000 33540416 34036576 34093280 34316464 34731200 35016800 35273875 35534800 35672000 36120448 36684830 36715840 36956192 37098880 37289525 37433500 37710400 37987250 38299625 38416000 38781106 39218816 39354791 39506740 40157950 40313000 40576900 40611200 41245750 41764268 41925520 42545720 42616600 42895580 43414000 43771000 44321264 44418500 44976904 45150560 45894800 46072000 46195240 46373600 47138000 47730592 47914880 48623680 49023520 49383425 49616000 49940800 50024000 50721125 50764000 51358762 51402176 51938432 52205335 52406900 52451200 52794560 53182150 53270750 53619475 53872000 55309436 55401580 56221130 56438200 56855680 57368500 57744050 57967000 58695728 59663240 59893600 60053812 60779600 61279400 62426000 63210784 64252720 64500800 64923040 65508625 65564000 65993200 66248000 67080832 68073152 68186560 68632928 69136795 69251975 69462400 70033600 70547750 71069600 71344000 73087469 73369660 73431680 73912384 74579050 74867000 75067265 75420800 75974500 76599250 77562212 78709582 79013480 80315900 80626000 81153800 82491500 83528536 83851040 85091440 85233200 85791160 86828000 87542000 88642528 88837000 89953808 90301120 91712075 91789600 92144000 92390480 92747200 94276000 95461184 96952765 97247360 98047040 98766850 99881600 100048000 100394875 101442250 101528000 102717524 102804352 104410670 104813800 105589120 106364300 106541500 107238950 110618872 110803160 112442260 112876400 114737000 115488100 115934000 117391456 119326480 119787200 120107624 121559200 122558800 124852000 126421568 128396905 128505440 129001600 129846080 131017250 131128000 131986400 132496000 132955375 135733871 136146304 136373120 137265856 138273590 138503950 140067200 140552825 141095500 142139200 144360125 146174938 146739320 147824768 149158100 149734000 150134530 151949000 153198500 155124424 157419164 158026960 160631800 161252000 162307600 164983000 167057072 167702080 170182880 170466400 171582320 173656000 175084000 177285056 177674000 179755667 179907616 180602240 183424150 183579200 184780960 185494400 186447625 188552000 190922368 193905530 196094080 196773955 197533700 200789750 202884500 203056000 205435048 208821340 209627600 212728600 213083000 214477900 221237744 221606320 224884520 225752800 229474000 230976200 231868000 234782912 238652960 239574400 240215248 243118400 245117600 246917125 249704000 252843136 256793810 257010880 259692160 261026675 262034500 262256000 263972800 265910750 268097375 271467742 274531712 276547180 277007900 281105650 282191000 284278400 288720250 292349876 293478640 298316200 299468000 300269060 303898000 306397000 310248848 314838328 316053920 321263600 322504000 324615200 329966000 334114144 335404160 340365760 340932800 343164640 345683975 346259875 347312000 350168000 354570112 355348000 359511334 359815232 365437345 366848300 367158400 369561920 372895250 375336325 377104000 387811060 393547910 395067400 401579500 405769000 410870096 417642680 419255200 425457200 426166000 428955800 442475488 443212640 449769040 451505600 458560375 458948000 461952400 463736000 469565824 477305920 480430496 484763825 486236800 490235200 493834250 499408000 511612283 513587620 514021760 522053350 524069000 527945600 531821500 536194750 542935484 553094360 554015800 562211300 564382000 577440500 584699752 586957280 596632400 598936000 600538120 607796000 612794000 620497696 629676656 632107840 641984525 642527200 645008000 649230400 659932000 668228288 678669355 680731520 681865600 686329280 691367950 692519750 700336000 702764125 710696000 719022668 719630464 730874690 733696600 739123840 745790500 750672650 775622120 787095820 790134800 803159000 811538000 821740192 835285360 838510400 850914400 852332000 857911600 884950976 886425280 898778335 899538080 903011200 917120750 917896000 923904800 927472000 950137097 954611840 960860992 969527650 980470400 983869775 987668500 1023224566 1027175240 1044106700 1048138000 1063643000 1072389500 1085870968 1106188720 1108031600 1124422600 1128764000 1154881000 1169399504 1173914560 1193264800 1197872000 1201076240 1215592000 1225588000 1240995392 1259353312 1264215680 1283969050 1285054400 1298460800 1305133375 1319864000 1336456576 1357338710 1372658560 1382735900 1385039500 1405528250 1421392000 1438045336 1461749380 1467393200 1491581000 1501345300 1551244240 1574191640 1580269600 1606318000 1623076000 1643480384 1670570720 1677020800 1701828800 1704664000 1715823200 1728419875 1769901952 1772850560 1797556670 1799076160 1827186725 1834241500 1835792000 1847809600 1876681625 1900274194 1921721984 1939055300 1967739550 1975337000 2046449132 2054350480 2088213400 2096276000 2127286000 2144779000 2171741936 2212377440 2216063200 2248845200 2257528000 2309762000 2338799008 2347829120 2386529600 2402152480 2423819125 2431184000 2451176000 2481990784 2518706624 2558061415 2567938100 2570108800 2610266750 2639728000 2714677420 2765471800 2770079000 2811056500 2876090672 2923498760 2934786400 2983162000 3002690600 3102488480 3148383280 3160539200 3209922625 3212636000 3246152000 3286960768 3341141440 3393346775 3403657600 3409328000 3431646400 3456839750 3595113340 3598152320 3654373450 3668483000 3695619200 3753363250 3800548388 3878110600 3935479100 3950674000 4092898264 4108700960 4176426800 4192552000 4254572000 4289558000 4343483872 4424754880 4432126400 4493891675 4497690400 4515056000 4619524000 4677598016 4750685485 4773059200 4804304960 4847638250 4902352000 4919348875 5037413248 5116122830 5135876200 5220533500 5429354840 5530943600 5540158000 5622113000 5752181344 5846997520 5869572800 5966324000 6005381200 6204976960 6296766560 6321078400 6419845250 6425272000 6492304000 6650959679 6682282880 6786693550 6863292800 6913679500 7190226680 7308746900 7336966000 7506726500 7601096776 7756221200 7870958200 7901348000 8185796528 8217401920 8352853600 8385104000 8509144000 8579116000 8686967744 8849509760 8864252800 8987783350 8995380800 9135933625 9239048000 9355196032 9501370970 9608609920 9695276500 9838697750 10232245660 10271752400 10441067000 10858709680 11061887200 11080316000 11244226000 11504362688 11693995040 11739145600 11932648000 12010762400 12409953920 12593533120 12790307075 12839690500 12850544000 13301919358 13573387100 13827359000 14380453360 14617493800 14673932000 15013453000 15202193552 15512442400 15741916400 15802696000 16371593056 16434803840 16705707200 16966733875 17018288000 17158232000 17373935488 17975566700 17990761600 18271867250 18478096000 19002741940 19390553000 19677395500 20464491320 20543504800 20882134000 21717419360 22123774400 22160632000 22469458375 22488452000 23008725376 23387990080 23753427425 23865296000 24021524800 25187066240 25580614150 25679381000 26603838716 27146774200 27654718000 28760906720 29234987600 29347864000 30026906000 30404387104 31024884800 31483832800 31605392000 32743186112 33254798395 33411414400 33933467750 34316464000 35951133400 36543734500 38005483880 38781106000 39354791000 40928982640 41087009600 41764268000 43434838720 44247548800 44321264000 44938916750 44976904000 46775980160 47506854850 48043049600 51161228300 51358762000 53207677432 54293548400 55309436000 57521813440 58469975200 58695728000 60053812000 60808774208 62049769600 62967665600 63951535375 65486372224 66509596790 67866935500 71902266800 73087469000 76010967760 77562212000 78709582000 81857965280 82174019200 83528536000 86869677440 89877833500 89953808000 95013709700 102322456600 102717524000 106415354864 108587096800 110618872000 115043626880 116939950400 118767137125 120107624000 121617548416 125935331200 127903070750 133019193580 135733871000 143804533600 146174938000 152021935520 155124424000 157419164000 163715930560 166273991975 167057072000 179755667000 190027419400 204644913200 205435048000 212830709728 217174193600 221237744000 233879900800 237534274250 240215248000 255806141500 266038387160 271467742000 287609067200 292349876000 304043871040 310248848000 314838328000 327431861120 332547983950 359511334000 380054838800 409289826400 410870096000 425661419456 434348387200 475068548500 511612283000 532076774320 542935484000 575218134400 584699752000 608087742080 629676656000 665095967900 719022668000 760109677600 818579652800 831369959875 851322838912 950137097000 1023224566000 1064153548640 1085870968000 1169399504000 1330191935800 1438045336000 1520219355200 1637159305600 1662739919750 1900274194000 2046449132000 2128307097280 2171741936000 2660383871600 2876090672000 3040438710400 3325479839500 3800548388000 4092898264000 4256614194560 5320767743200 6650959679000 7601096776000 8185796528000 10641535486400 13301919358000 15202193552000 21283070972800 26603838716000 53207677432000 106415354864000
- Sum of all divisors σ(n): 344029388957280
- Sum of proper divisors (its aliquot sum) s(n): 237614034093280
- 106415354864000 is an abundant number, because the sum of its proper divisors (237614034093280) is greater than itself. Its abundance is 131198679229280
Bases of 106415354864000
- Binary: 110000011001000110000010110110011100001100000002
- Hexadecimal: 0x60C8C16CE180
- Base-36: 11PYJEQ0ZK
Squares and roots of 106415354864000
- 106415354864000 squared (1064153548640002) is 11324227750831048458496000000
- 106415354864000 cubed (1064153548640003) is 1205071714665442592620032015724544000000000
-
The
square root of 106415354864000 is 10315781.8348392769 -
The
cube root of 106415354864000 is 47387.9693847027
Scales and comparisons
How big is 106415354864000?- 106,415,354,864,000 seconds is equal to 3,383,679 years, 6 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 106,415,354,864,000 would take you about eight million, four hundred fifty-nine thousand, one hundred ninety-seven 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 106415354864000 cubic inches would be around 3949 feet tall.
Recreational maths with 106415354864000
- 106415354864000 backwards is 000468453514601
- The number of decimal digits it has is: 15
- The sum of 106415354864000's digits is 47
- 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 106415354864000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 106415354864000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/106415354864000/
Chicago style:
Numbermatics. 2024. "Number 106415354864000 - Facts about the integer". https://numbermatics.com/n/106415354864000/
The information we have on file for 106415354864000 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 106415354864000, math, Factors of 106415354864000, curriculum, school, college, exams, university, Prime factorization of 106415354864000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, four hundred fifteen billion, three hundred fifty-four million, eight hundred sixty-four thousand.