10638428304000
10,638,428,304,000 is an even composite number composed of seven prime numbers multiplied together.
10638428304000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 10638428304000:
27 × 3 × 53 × 7 × 612 × 67 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 61 × 61 × 67 × 127)See below for interesting mathematical facts about the number 10638428304000 from the Numbermatics database.
Names of 10638428304000
- Cardinal: 10638428304000 can be written as Ten trillion, six hundred thirty-eight billion, four hundred twenty-eight million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.0638428304 × 1013
Factors of 10638428304000
Divisors of 10638428304000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 61 64 67 70 75 80 84 96 100 105 112 120 122 125 127 128 134 140 150 160 168 175 183 192 200 201 210 224 240 244 250 254 268 280 300 305 320 335 336 350 366 375 381 384 400 402 420 427 448 469 480 488 500 508 525 536 560 600 610 635 640 670 672 700 732 750 762 800 804 840 854 875 889 896 915 938 960 976 1000 1005 1016 1050 1072 1120 1200 1220 1270 1281 1340 1344 1400 1407 1464 1500 1524 1525 1600 1608 1675 1680 1708 1750 1778 1830 1876 1905 1920 1952 2000 2010 2032 2100 2135 2144 2240 2345 2400 2440 2540 2562 2625 2667 2680 2688 2800 2814 2928 3000 3048 3050 3175 3200 3216 3350 3360 3416 3500 3556 3660 3721 3752 3810 3904 4000 4020 4064 4087 4200 4270 4288 4445 4480 4575 4690 4800 4880 5025 5080 5124 5250 5334 5360 5600 5628 5856 6000 6096 6100 6350 6405 6432 6700 6720 6832 7000 7035 7112 7320 7442 7504 7620 7625 7747 7808 8000 8040 8128 8174 8375 8400 8509 8540 8576 8890 9150 9380 9525 9600 9760 10050 10160 10248 10500 10668 10675 10720 11163 11200 11256 11712 11725 12000 12192 12200 12261 12700 12810 12864 13335 13400 13440 13664 14000 14070 14224 14640 14884 15008 15240 15250 15494 15875 16000 16080 16256 16348 16750 16800 17018 17080 17780 18300 18605 18760 19050 19520 20100 20320 20435 20496 21000 21336 21350 21440 22225 22326 22400 22512 22875 23241 23424 23450 24000 24384 24400 24522 25125 25400 25527 25620 25728 26047 26670 26800 27328 28000 28140 28448 28609 29280 29768 30016 30480 30500 30988 31750 32025 32160 32696 33500 33600 34036 34160 35175 35560 36600 37210 37520 38100 38735 39040 40200 40640 40870 40992 42000 42545 42672 42700 42880 44450 44652 45024 45750 46482 46900 47625 48000 48768 48800 49044 50250 50800 51054 51240 52094 53340 53375 53600 54229 54656 55815 56000 56280 56896 57218 58560 58625 59536 59563 60032 60960 61000 61305 61976 63500 64050 64320 65392 66675 67000 67200 68072 68320 70350 71120 73200 74420 75040 76200 77470 78141 80400 81280 81740 81984 84000 85090 85344 85400 85827 88900 89304 90048 91500 92964 93025 93800 95250 97600 98088 100500 101600 102108 102175 102480 104188 106680 106750 107200 108458 111125 111630 112000 112560 113792 114436 116205 117120 117250 119072 119126 121920 122000 122610 123952 127000 127635 128100 128640 130235 130784 133350 134000 136144 136640 140700 142240 143045 146400 148840 150080 152400 154940 156282 160125 160800 162687 163480 163968 168000 170180 170688 170800 171654 175875 177800 178608 178689 180096 183000 185928 186050 187600 190500 193675 195200 196176 201000 203200 204216 204350 204960 208376 212725 213360 213500 214400 216916 222250 223260 225120 228872 232410 234500 238144 238252 243840 244000 245220 247904 249307 254000 255270 256200 260470 261568 266700 268000 271145 272288 273280 279075 281400 284480 286090 292800 297680 297815 300160 304800 306525 309880 312564 320250 321600 325374 326960 333375 336000 340360 341376 341600 343308 351750 355600 357216 357378 366000 371856 372100 375200 381000 387350 390705 392352 402000 406400 408432 408700 409920 416752 425450 426720 427000 429135 433832 444500 446520 450240 457744 464820 465125 469000 472567 476288 476504 488000 490440 495808 498614 508000 510540 510875 512400 519049 520940 523136 533400 536000 542290 544576 558150 562800 568960 572180 581025 585600 595360 595630 609600 613050 619760 625128 638175 640500 643200 650748 651175 653920 666750 680720 683200 686616 703500 711200 714432 714756 715225 732000 743712 744200 747921 750400 762000 774700 781410 784704 804000 813435 816864 817400 819840 833504 850900 853440 854000 858270 867664 889000 893040 893445 900480 915488 929640 930250 938000 945134 953008 968375 976000 980880 991616 997228 1016000 1021080 1021750 1024800 1038098 1041880 1063625 1066800 1072000 1084580 1089152 1116300 1125600 1144360 1162050 1190720 1191260 1219200 1226100 1239520 1246535 1250256 1276350 1281000 1301496 1302350 1307840 1333500 1355725 1361440 1366400 1373232 1395375 1407000 1417701 1422400 1428864 1429512 1430450 1464000 1487424 1488400 1489075 1495842 1500800 1524000 1532625 1549400 1557147 1562820 1569408 1608000 1626870 1633728 1634800 1667008 1701800 1706880 1708000 1716540 1735328 1745149 1778000 1786080 1786890 1830976 1859280 1860500 1876000 1890268 1906016 1936750 1953525 1961760 1994456 2032000 2042160 2043500 2049600 2076196 2083760 2127250 2133600 2145675 2169160 2232600 2251200 2288720 2324100 2362835 2381440 2382520 2452200 2479040 2493070 2500512 2552700 2562000 2595245 2602992 2604700 2615680 2667000 2711450 2722880 2746464 2790750 2814000 2835402 2844800 2859024 2860900 2905125 2928000 2974848 2976800 2978150 2991684 3048000 3065250 3098800 3114294 3125640 3190875 3216000 3253740 3255875 3267456 3269600 3307969 3334016 3403600 3416000 3433080 3470656 3490298 3556000 3572160 3573780 3576125 3633343 3661952 3718560 3721000 3739605 3752000 3780536 3812032 3873500 3907050 3923520 3988912 4067175 4084320 4087000 4099200 4152392 4167520 4254500 4267200 4291350 4338320 4465200 4467225 4502400 4577440 4648200 4725670 4765040 4904400 4958080 4986140 5001024 5105400 5124000 5190490 5205984 5209400 5235447 5334000 5422900 5445760 5492928 5581500 5628000 5670804 5718048 5721800 5810250 5953600 5956300 5983368 6096000 6130500 6197600 6228588 6232675 6251280 6381750 6507480 6511750 6539200 6615938 6778625 6807200 6832000 6866160 6941312 6980596 7088505 7112000 7144320 7147560 7152250 7266686 7437120 7442000 7445375 7479210 7504000 7561072 7624064 7747000 7785735 7814100 7847040 7977824 8134350 8168640 8174000 8304784 8335040 8509000 8534400 8582700 8676640 8725745 8930400 8934450 9154880 9296400 9451340 9530080 9767625 9808800 9923907 9972280 10002048 10210800 10248000 10380980 10411968 10418800 10470894 10668000 10728375 10845800 10900029 10985856 11163000 11256000 11341608 11436096 11443600 11620500 11814175 11907200 11912600 11966736 12261000 12395200 12457176 12465350 12502560 12763500 12976225 13014960 13023500 13078400 13231876 13557250 13614400 13732320 13961192 14177010 14224000 14295120 14304500 14533372 14874240 14884000 14890750 14958420 15122144 15494000 15571470 15628200 15955648 16268700 16337280 16348000 16539845 16609568 16670080 17018000 17165400 17353280 17451490 17860800 17868900 18166715 18309760 18592800 18698025 18902680 19060160 19535250 19617600 19847814 19944560 20335875 20421600 20496000 20761960 20823936 20837600 20941788 21336000 21456750 21691600 21800058 22326000 22336125 22512000 22683216 22872192 22887200 23241000 23628350 23825200 23933472 24522000 24790400 24914352 24930700 25005120 25527000 25952450 26029920 26047000 26177235 26463752 27114500 27228800 27464640 27922384 28354020 28590240 28609000 29066744 29768000 29781500 29916840 30244288 30988000 31142940 31163375 31256400 31661989 31911296 32537400 32696000 33079690 33219136 34036000 34330800 34706560 34902980 35442525 35721600 35737800 36333430 37185600 37396050 37805360 38120320 38928675 39070500 39235200 39695628 39889120 40671750 40843200 41523920 41675200 41883576 42672000 42913500 43383200 43600116 43628725 44652000 44672250 45366432 45774400 46482000 47256700 47650400 47866944 49044000 49619535 49828704 49861400 50010240 51054000 51904900 52059840 52094000 52354470 52927504 54229000 54500145 54929280 55844768 56708040 57180480 57218000 58133488 59070875 59536000 59563000 59833680 60488576 61976000 62285880 62326750 62512800 63323978 64881125 65074800 65392000 66159380 66438272 68072000 68661600 69805960 70885050 71475600 72666860 74371200 74792100 75610720 77857350 78141000 79391256 79778240 81343500 81686400 82699225 83047840 83350400 83767152 85827000 86766400 87200232 87257450 89304000 89344500 90732864 90833575 91548800 92964000 93490125 94513400 94985967 95300800 95733888 98088000 99239070 99657408 99722800 102108000 103809800 104119680 104188000 104708940 105855008 108458000 109000290 111689536 113416080 114360960 114436000 116266976 118141750 119126000 119667360 123952000 124571760 124653500 125025600 126647956 129762250 130149600 130886175 132318760 136144000 137323200 139611920 141770100 142951200 145333720 149584200 151221440 155714700 156282000 158309945 158782512 159556480 162687000 165398450 166095680 167534304 171654000 173532800 174400464 174514900 177212625 178608000 178689000 181465728 181667150 185928000 186980250 189026800 189971934 190601600 194643375 196176000 198478140 199314816 199445600 204216000 207619600 208376000 209417880 211710016 216916000 218000580 218143625 221633923 223379072 226832160 228872000 232533952 236283500 238252000 239334720 248097675 249143520 249307000 250051200 253295912 259524500 260299200 261772350 264637520 272500725 274646400 279223840 283540200 285902400 290667440 299168400 302442880 311429400 312564000 316619890 317565024 325374000 330796900 332191360 335068608 343308000 348800928 349029800 354425250 357378000 363334300 371856000 373960500 378053600 379943868 389286750 396956280 398891200 408432000 413496125 415239200 416752000 418835760 423420032 433832000 436001160 436287250 443267846 453664320 454167875 457744000 465067904 472567000 474929835 476504000 478669440 496195350 498287040 498614000 506591824 519049000 520598400 523544700 529275040 545001450 558447680 567080400 571804800 581334880 598336800 622858800 625128000 633239780 635130048 650748000 654430875 661593800 664901769 670137216 686616000 697601856 698059600 708850500 714756000 726668600 747921000 756107200 759887736 778573500 791549725 793912560 797782400 826992250 830478400 837671520 867664000 872002320 872574500 886535692 907328640 908335750 945134000 949859670 953008000 992390700 996574080 997228000 1013183648 1038098000 1047089400 1058550080 1090002900 1108169615 1116895360 1134160800 1162669760 1196673600 1240488375 1245717600 1250256000 1266479560 1270260096 1301496000 1308861750 1323187600 1329803538 1362503625 1373232000 1395203712 1396119200 1417701000 1429512000 1453337200 1495842000 1512214400 1519775472 1557147000 1583099450 1587825120 1653984500 1660956800 1675343040 1744004640 1745149000 1773071384 1816671500 1890268000 1899719340 1984781400 1994456000 2026367296 2076196000 2094178800 2117100160 2180005800 2216339230 2268321600 2325339520 2374649175 2393347200 2480976750 2491435200 2532959120 2602992000 2617723500 2646375200 2659607076 2725007250 2792238400 2835402000 2859024000 2906674400 2991684000 3039550944 3114294000 3166198900 3175650240 3307969000 3324508845 3350686080 3488009280 3490298000 3546142768 3633343000 3780536000 3799438680 3957748625 3969562800 3988912000 4052734592 4152392000 4188357600 4360011600 4432678460 4536643200 4749298350 4961953500 4982870400 5065918240 5235447000 5292750400 5319214152 5450014500 5540848075 5584476800 5670804000 5813348800 5983368000 6079101888 6228588000 6332397800 6351300480 6615938000 6649017690 6976018560 6980596000 7092285536 7266686000 7561072000 7598877360 7915497250 7939125600 8304784000 8376715200 8720023200 8865356920 9498596700 9923907000 10131836480 10470894000 10585500800 10638428304 10900029000 11081696150 11341608000 11626697600 11873245875 11966736000 12158203776 12457176000 12664795600 13231876000 13298035380 13961192000 14184571072 14533372000 15197754720 15830994500 15878251200 16622544225 16753430400 17440046400 17730713840 18997193400 19847814000 20263672960 20941788000 21276856608 21800058000 22163392300 22683216000 23746491750 24914352000 25329591200 26463752000 26596070760 27704240375 27922384000 28369142144 29066744000 30395509440 31661989000 31756502400 33245088450 34880092800 35461427680 37994386800 39695628000 41883576000 42553713216 43600116000 44326784600 47492983500 50659182400 52927504000 53192141520 55408480750 58133488000 60791018880 63323978000 66490176900 70922855360 75988773600 79391256000 83112721125 83767152000 85107426432 87200232000 88653569200 94985967000 101318364800 106384283040 110816961500 126647956000 132980353800 141845710720 151977547200 158782512000 166225442250 174400464000 177307138400 189971934000 212768566080 221633923000 253295912000 265960707600 303955094400 332450884500 354614276800 379943868000 425537132160 443267846000 506591824000 531921415200 664901769000 709228553600 759887736000 886535692000 1063842830400 1329803538000 1519775472000 1773071384000 2127685660800 2659607076000 3546142768000 5319214152000 10638428304000
- Sum of all divisors σ(n): 41915049246720
- Sum of proper divisors (its aliquot sum) s(n): 31276620942720
- 10638428304000 is an abundant number, because the sum of its proper divisors (31276620942720) is greater than itself. Its abundance is 20638192638720
Bases of 10638428304000
- Binary: 100110101100111100111011110101110010100000002
- Hexadecimal: 0x9ACF3BD7280
- Base-36: 3RR85JATC
Squares and roots of 10638428304000
- 10638428304000 squared (106384283040002) is 113176156779348316416000000
- 10638428304000 cubed (106384283040003) is 1204016429619360612034722238464000000000
-
The
square root of 10638428304000 is 3261660.3600007159 -
The
cube root of 10638428304000 is 21993.4059466289
Scales and comparisons
How big is 10638428304000?- 10,638,428,304,000 seconds is equal to 338,269 years, 5 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 10,638,428,304,000 would take you about eight hundred forty-five thousand, six hundred seventy-two 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 10638428304000 cubic inches would be around 1832.8 feet tall.
Recreational maths with 10638428304000
- 10638428304000 backwards is 00040382483601
- The number of decimal digits it has is: 14
- The sum of 10638428304000's digits is 39
- More coming soon!
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The information we have on file for 10638428304000 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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