113838740064000
113,838,740,064,000 is an even composite number composed of six prime numbers multiplied together.
113838740064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 113838740064000:
28 × 34 × 53 × 7 × 1272 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 127 × 127 × 389)See below for interesting mathematical facts about the number 113838740064000 from the Numbermatics database.
Names of 113838740064000
- Cardinal: 113838740064000 can be written as One hundred thirteen trillion, eight hundred thirty-eight billion, seven hundred forty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.13838740064 × 1014
Factors of 113838740064000
Divisors of 113838740064000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 127 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 250 252 254 256 270 280 288 300 315 320 324 336 350 360 375 378 381 384 389 400 405 420 432 448 450 480 500 504 508 525 540 560 567 576 600 630 635 640 648 672 675 700 720 750 756 762 768 778 800 810 840 864 875 889 896 900 945 960 1000 1008 1016 1050 1080 1120 1125 1134 1143 1152 1167 1200 1260 1270 1280 1296 1344 1350 1400 1440 1500 1512 1524 1556 1575 1600 1620 1680 1728 1750 1778 1792 1800 1890 1905 1920 1945 2000 2016 2025 2032 2100 2160 2240 2250 2268 2286 2304 2334 2400 2520 2540 2592 2625 2667 2688 2700 2723 2800 2835 2880 3000 3024 3048 3112 3150 3175 3200 3240 3360 3375 3429 3456 3500 3501 3556 3600 3780 3810 3840 3890 4000 4032 4050 4064 4200 4320 4445 4480 4500 4536 4572 4668 4725 4800 5040 5080 5184 5250 5334 5376 5400 5446 5600 5670 5715 5760 5835 6000 6048 6096 6224 6300 6350 6400 6480 6720 6750 6858 6912 7000 7002 7112 7200 7560 7620 7780 7875 8000 8001 8064 8100 8128 8169 8400 8640 8890 8960 9000 9072 9144 9336 9450 9525 9600 9725 10080 10125 10160 10287 10368 10500 10503 10668 10800 10892 11200 11340 11430 11520 11670 12000 12096 12192 12448 12600 12700 12960 13335 13440 13500 13615 13716 14000 14004 14175 14224 14400 15120 15240 15560 15750 15875 16000 16002 16128 16129 16200 16256 16338 16800 17145 17280 17505 17780 18000 18144 18288 18672 18900 19050 19200 19450 20160 20250 20320 20574 20736 21000 21006 21336 21600 21784 22225 22400 22680 22860 23340 23625 24000 24003 24192 24384 24507 24896 25200 25400 25920 26670 26880 27000 27230 27432 28000 28008 28350 28448 28575 28800 29175 30240 30480 31120 31500 31509 31750 32000 32004 32258 32400 32512 32676 33600 34290 34560 35010 35560 36000 36288 36576 37344 37800 38100 38900 40005 40320 40500 40640 40845 41148 42000 42012 42672 43200 43568 44450 44800 45360 45720 46680 47250 47625 48000 48006 48384 48387 48625 48768 49014 49403 49792 50400 50800 51435 51840 52515 53340 54000 54460 54864 56000 56016 56700 56896 57150 57600 58350 60480 60960 62240 63000 63018 63500 64008 64516 64800 65352 66675 67200 68075 68580 70020 70875 71120 72000 72009 72576 73152 73521 74688 75600 76200 77800 80010 80640 80645 81000 81280 81690 82296 84000 84024 85344 85725 86400 87136 87525 88900 90720 91440 93360 94500 95250 96000 96012 96774 97250 97536 98028 98806 99584 100800 101600 102870 103680 105030 106680 108000 108920 109728 111125 112000 112032 112903 113400 113792 114300 116700 120015 120960 121920 122535 124480 126000 126036 127000 128016 129032 129600 130704 133350 134400 136150 137160 140040 141750 142240 142875 144000 144018 145152 145161 145875 146304 147042 148209 149376 151200 152400 155600 157545 160020 161290 162000 162560 163380 164592 168000 168048 170688 171450 172800 174272 175050 177800 181440 182880 186720 189000 190500 192024 193548 194500 196056 197612 200025 201600 203200 204225 205740 210060 213360 216000 217840 219456 220563 222250 224000 224064 225806 226800 227584 228600 233400 240030 241920 241935 243840 245070 247015 248960 252000 252072 254000 256032 257175 258064 259200 261408 262575 266700 272300 274320 280080 283500 284480 285750 288000 288036 290322 291750 292608 294084 296418 298752 302400 304800 311200 315090 320040 322580 324000 326760 329184 333375 336000 336096 338709 340375 341376 342900 345821 348544 350100 355600 360045 362880 365760 367605 373440 378000 381000 384048 387096 389000 392112 395224 400050 403200 403225 406400 408450 411480 420120 426720 428625 432000 435483 435680 437625 438912 441126 444500 444627 448128 451612 453600 457200 466800 480060 483870 487680 490140 494030 497920 504000 504144 508000 512064 514350 516128 518400 522816 525150 533400 544600 548640 560160 564515 567000 568960 571500 576072 580644 583500 588168 592836 600075 604800 609600 612675 622400 630180 640080 645160 648000 653520 658368 666750 672000 672192 677418 680750 682752 685800 691642 697088 700200 711200 720090 725760 725805 731520 735210 741045 746880 756000 762000 768096 774192 778000 784224 787725 790448 800100 806450 812800 816900 822960 840240 853440 857250 864000 870966 871360 875250 877824 882252 889000 889254 896256 903224 907200 914400 933600 960120 967740 980280 988060 1000125 1008000 1008288 1016000 1016127 1021125 1024128 1028700 1032256 1037463 1045632 1050300 1066800 1089200 1097280 1102815 1120320 1129030 1134000 1137920 1143000 1152144 1161288 1167000 1176336 1185672 1200150 1209600 1209675 1219200 1225350 1235075 1244800 1260360 1280160 1285875 1290320 1296000 1306449 1307040 1312875 1316736 1333500 1333881 1344384 1354836 1361500 1371600 1383284 1400400 1422400 1440180 1451610 1463040 1470420 1482090 1493760 1512000 1524000 1536192 1548384 1556000 1568448 1575450 1580896 1600200 1612900 1633800 1645920 1680480 1693545 1706880 1714500 1729105 1741932 1742720 1750500 1764504 1778000 1778508 1800225 1806448 1814400 1828800 1838025 1867200 1920240 1935480 1960560 1976120 2000250 2016000 2016125 2016576 2032000 2032254 2042250 2048256 2057400 2064512 2074926 2091264 2100600 2133600 2177415 2178400 2194560 2205630 2223135 2240640 2258060 2268000 2286000 2304288 2322576 2334000 2352672 2371344 2400300 2419350 2438400 2450700 2470150 2489600 2520720 2560320 2571750 2580640 2592000 2612898 2614080 2625750 2633472 2667000 2667762 2688768 2709672 2723000 2743200 2766568 2800800 2822575 2844800 2880360 2903220 2940840 2964180 3000375 3024000 3048000 3048381 3063375 3072384 3096768 3112000 3112389 3136896 3150900 3161792 3200400 3225800 3267600 3291840 3360960 3387090 3413760 3429000 3458210 3483864 3485440 3501000 3529008 3556000 3557016 3600450 3612896 3628800 3629025 3657600 3676050 3705225 3734400 3840480 3870960 3921120 3938625 3952240 4000500 4001643 4032250 4033152 4064000 4064508 4084500 4114800 4129024 4149852 4201200 4267200 4354830 4356800 4389120 4411260 4446270 4481280 4516120 4536000 4572000 4608576 4645152 4668000 4705344 4742688 4800600 4838700 4901400 4940300 5041440 5080635 5120640 5143500 5161280 5187315 5225796 5228160 5251500 5334000 5335524 5419344 5446000 5486400 5514075 5533136 5601600 5645150 5689600 5760720 5806440 5881680 5928360 6000750 6048000 6048375 6096000 6096762 6126750 6144768 6175375 6193536 6224000 6224778 6273792 6274181 6301800 6323584 6400800 6451600 6532245 6535200 6583680 6669405 6721920 6774180 6858000 6916420 6967728 7002000 7058016 7112000 7114032 7200900 7225792 7258050 7315200 7352100 7410450 7468800 7680960 7741920 7842240 7877250 7904480 8001000 8003286 8064500 8066304 8129016 8169000 8229600 8299704 8402400 8467725 8534400 8645525 8709660 8713600 8822520 8892540 9001125 9032240 9072000 9144000 9145143 9190125 9217152 9290304 9336000 9337167 9410688 9485376 9601200 9677400 9802800 9880600 10082880 10161270 10241280 10287000 10322560 10374630 10451592 10456320 10503000 10668000 10671048 10838688 10887075 10892000 10972800 11028150 11066272 11115675 11203200 11290300 11521440 11612880 11763360 11856720 12001500 12096750 12192000 12193524 12253500 12350750 12387072 12448000 12449556 12548362 12603600 12647168 12801600 12903200 13064490 13070400 13167360 13338810 13443840 13548360 13716000 13832840 13935456 14004000 14112875 14116032 14224000 14228064 14401800 14451584 14516100 14704200 14820900 15241905 15361920 15483840 15561945 15684480 15754500 15808960 16002000 16006572 16129000 16258032 16338000 16459200 16599408 16804800 16935450 17068800 17291050 17419320 17427200 17645040 17785080 18002250 18064480 18144000 18145125 18288000 18290286 18380250 18434304 18526125 18580608 18672000 18674334 18821376 18822543 18970752 19202400 19354800 19605600 19761200 20008215 20165760 20322540 20574000 20645120 20749260 20903184 21006000 21336000 21342096 21677376 21774150 21784000 21945600 22056300 22132544 22231350 22406400 22580600 23042880 23225760 23526720 23713440 24003000 24193500 24387048 24507000 24701500 24899112 25096724 25207200 25403175 25603200 25806400 25936575 26128980 26140800 26677620 27096720 27432000 27570375 27665680 27870912 28008000 28011501 28225750 28232064 28448000 28456128 28803600 28903168 29032200 29408400 29641800 30483810 30723840 30967680 31123890 31368960 31370905 31509000 31617920 32004000 32013144 32258000 32516064 32661225 32676000 32918400 33198816 33347025 33609600 33870900 34582100 34838640 35290080 35570160 36004500 36128960 36290250 36576000 36580572 36760500 37052250 37161216 37344000 37348668 37645086 37941504 38404800 38709600 39211200 39522400 40016430 40331520 40645080 41148000 41498520 41806368 42012000 42338625 42672000 42684192 43227625 43354752 43548300 43568000 43919267 44112600 44265088 44462700 45161200 45725715 46085760 46451520 46685835 47053440 47426880 48006000 48387000 48774096 49014000 49403000 49798224 50193448 50414400 50806350 51206400 51612800 51873150 52257960 52281600 53355240 54193440 54435375 54864000 55140750 55331360 55578375 55741824 56016000 56023002 56451500 56464128 56467629 56912256 57607200 58064400 58816800 59283600 60967620 61935360 62247780 62741810 63018000 63235840 64008000 64026288 64516000 65032128 65322450 65352000 65836800 66397632 66694050 67219200 67741800 69164200 69677280 70580160 71140320 72009000 72257920 72580500 73161144 73521000 74104500 74697336 75290172 76209525 76809600 77419200 77809725 78422400 79044800 80032860 81290160 82296000 82997040 83612736 84024000 84677250 85344000 85368384 86455250 86709504 87096600 87136000 87838534 88225200 88530176 88925400 90322400 91451430 92171520 92903040 93371670 94106880 94112715 94853760 96012000 96774000 97548192 98028000 98806000 99596448 100041075 100386896 100828800 101612700 103225600 103746300 104515920 106710480 108386880 108870750 109728000 110281500 110662720 111156750 111483648 112032000 112046004 112903000 112935258 113824512 115214400 116128800 117633600 118567200 121935240 124495560 125483620 126036000 127015875 128016000 128052576 129032000 129682875 130064256 130644900 130704000 131757801 132795264 133388100 135483600 138328400 139354560 140057505 141160320 142280640 144018000 144515840 145161000 146322288 147042000 148209000 149394672 150580344 152419050 153619200 154838400 155619450 156844800 156854525 158089600 160065720 162580320 163306125 164592000 165994080 166735125 167225472 168048000 169354500 169402887 170736768 172910500 174193200 175677068 176450400 177850800 180644800 182902860 185806080 186743340 188225430 189707520 192024000 193548000 195096384 196056000 197612000 199192896 200082150 200773792 201657600 203225400 207492600 209031840 213420960 216773760 217741500 219596335 220563000 221325440 222313500 224092008 225806000 225870516 228628575 230428800 232257600 233429175 235267200 237134400 243870480 248991120 250967240 252072000 254031750 256032000 256105152 258064000 259365750 260128512 261289800 261408000 263515602 265590528 266776200 270967200 276656800 278709120 280115010 282320640 282338145 284561280 288036000 290322000 292644576 294084000 296418000 298789344 301160688 304838100 309676800 311238900 313709050 316179200 320131440 325160640 326612250 329184000 331988160 333470250 334450944 336096000 338709000 338805774 341473536 345821000 348386400 351354136 352900800 355701600 361289600 365805720 373486680 376450860 381047625 384048000 387096000 389048625 390192768 392112000 395224000 395273403 398385792 400164300 401547584 406450800 414985200 418063680 426841920 433547520 435483000 439192670 441126000 442650880 444627000 448184016 451612000 451741032 457257150 460857600 464515200 466858350 470534400 470563575 474268800 487740960 497982240 500205375 501934480 504144000 508063500 508208661 512210304 516128000 518731500 522579600 527031204 533552400 541934400 553313600 557418240 560230020 564676290 569122560 576072000 580644000 585289152 588168000 592836000 597578688 602321376 609676200 622477800 627418100 640262880 650321280 653224500 658789005 663976320 666940500 677418000 677611548 691642000 696772800 700287525 702708272 705801600 711403200 722579200 731611440 746973360 752901720 762095250 768096000 774192000 778097250 780385536 784224000 784272625 790448000 790546806 796771584 800328600 803095168 812901600 829970400 836127360 847014435 853683840 870966000 878385340 882252000 889254000 896368032 903224000 903482064 914514300 929030400 933716700 941127150 948537600 975481920 995964480 1000410750 1003868960 1008288000 1016127000 1016417322 1024420608 1037463000 1045159200 1054062408 1067104800 1083868800 1097981675 1106627200 1120460040 1129352580 1143142875 1152144000 1161288000 1167145875 1170578304 1176336000 1185672000 1185820209 1195157376 1204642752 1219352400 1244955600 1254836200 1280525760 1300642560 1306449000 1317578010 1327952640 1333881000 1354836000 1355223096 1383284000 1393545600 1400575050 1405416544 1411603200 1411690725 1422806400 1463222880 1493946720 1505803440 1524190500 1548384000 1556194500 1568545250 1580896000 1581093612 1600657200 1606190336 1625803200 1659940800 1672254720 1694028870 1707367680 1741932000 1756770680 1764504000 1778508000 1792736064 1806448000 1806964128 1829028600 1867433400 1882254300 1950963840 1976367015 1991928960 2000821500 2007737920 2032254000 2032834644 2074926000 2090318400 2108124816 2134209600 2167737600 2195963350 2213254400 2240920080 2258705160 2286285750 2304288000 2322576000 2334291750 2341156608 2352672000 2352817875 2371344000 2371640418 2390314752 2409285504 2438704800 2489911200 2509672400 2541043305 2561051520 2612898000 2635156020 2667762000 2709672000 2710446192 2766568000 2787091200 2801150100 2810833088 2823381450 2845612800 2926445760 2987893440 3011606880 3048381000 3112389000 3137090500 3162187224 3201314400 3251606400 3293945025 3319881600 3388057740 3483864000 3501437625 3513541360 3529008000 3557016000 3557460627 3585472128 3612896000 3613928256 3658057200 3734866800 3764508600 3901927680 3952734030 3983857920 4001643000 4015475840 4064508000 4065669288 4149852000 4180636800 4216249632 4235072175 4268419200 4391926700 4481840160 4517410320 4572571500 4645152000 4668583500 4705635750 4742688000 4743280836 4818571008 4877409600 4979822400 5019344800 5082086610 5122103040 5225796000 5270312040 5335524000 5419344000 5420892384 5489908375 5533136000 5602300200 5621666176 5646762900 5852891520 5929101045 5975786880 6023213760 6096762000 6224778000 6274181000 6324374448 6402628800 6503212800 6587890050 6639763200 6776115480 6967728000 7002875250 7027082720 7058016000 7058453625 7114032000 7114921254 7170944256 7227856512 7316114400 7469733600 7529017200 7905468060 8003286000 8030951680 8129016000 8131338576 8299704000 8361273600 8432499264 8470144350 8536838400 8783853400 8963680320 9034820640 9145143000 9337167000 9411271500 9486561672 9754819200 9881835075 9959644800 10038689600 10164173220 10451592000 10540624080 10671048000 10838688000 10841784768 10979816750 11066272000 11204600400 11243332352 11293525800 11705783040 11858202090 11951573760 12046427520 12193524000 12449556000 12548362000 12648748896 12705216525 12805257600 13175780100 13552230960 13935456000 14005750500 14054165440 14116907250 14228064000 14229842508 14455713024 14632228800 14939467200 15058034400 15810936120 16006572000 16258032000 16262677152 16469725125 16599408000 16864998528 16940288700 17567706800 17787303135 17927360640 18069641280 18290286000 18674334000 18822543000 18973123344 19509638400 19763670150 19919289600 20077379200 20328346440 20903184000 21081248160 21175360875 21342096000 21683569536 21959633500 22409200800 22587051600 23716404180 24092855040 24387048000 24899112000 25096724000 25297497792 25410433050 25610515200 26351560200 27104461920 28011501000 28108330880 28233814500 28459685016 29264457600 29645505225 29878934400 30116068800 31621872240 32013144000 32516064000 32525354304 32939450250 33198816000 33729997056 33880577400 35135413600 35574606270 35854721280 36139282560 36580572000 37348668000 37645086000 37946246688 39527340300 40154758400 40656692880 41806368000 42162496320 42350721750 42684192000 43367139072 43919267000 44818401600 45174103200 47432808360 48774096000 49409175375 49798224000 50193448000 50594995584 50820866100 52703120400 54208923840 56023002000 56216661760 56467629000 56919370032 58528915200 59291010450 59757868800 60232137600 63243744480 63526082625 64026288000 65050708608 65878900500 67761154800 70270827200 71149212540 72278565120 73161144000 74697336000 75290172000 75892493376 79054680600 81313385760 84324992640 84701443500 87838534000 88936515675 89636803200 90348206400 94865616720 97548192000 98818350750 99596448000 100386896000 101189991168 101641732200 105406240800 108417847680 112046004000 112935258000 113838740064 118582020900 120464275200 126487488960 127052165250 128052576000 130101417216 131757801000 135522309600 140541654400 142298425080 146322288000 148227526125 149394672000 150580344000 151784986752 158109361200 162626771520 168649985280 169402887000 175677068000 177873031350 179273606400 180696412800 189731233440 197636701500 200773792000 203283464400 210812481600 216835695360 224092008000 225870516000 227677480128 237164041800 252974977920 254104330500 263515602000 271044619200 281083308800 284596850160 292644576000 296455052250 298789344000 301160688000 303569973504 316218722400 325253543040 338805774000 351354136000 355746062700 361392825600 379462466880 395273403000 406566928800 421624963200 444682578375 448184016000 451741032000 455354960256 474328083600 505949955840 508208661000 527031204000 542089238400 569193700320 592910104500 602321376000 632437444800 650507086080 677611548000 702708272000 711492125400 758924933760 790546806000 813133857600 843249926400 889365156750 896368032000 903482064000 910709920512 948656167200 1016417322000 1054062408000 1084178476800 1138387400640 1185820209000 1264874889600 1355223096000 1405416544000 1422984250800 1517849867520 1581093612000 1626267715200 1778730313500 1806964128000 1897312334400 2032834644000 2108124816000 2276774801280 2371640418000 2529749779200 2710446192000 2845968501600 3162187224000 3252535430400 3557460627000 3794624668800 4065669288000 4216249632000 4553549602560 4743280836000 5420892384000 5691937003200 6324374448000 7114921254000 7589249337600 8131338576000 9486561672000 11383874006400 12648748896000 14229842508000 16262677152000 18973123344000 22767748012800 28459685016000 37946246688000 56919370032000 113838740064000
- Sum of all divisors σ(n): 489244405890240
- Sum of proper divisors (its aliquot sum) s(n): 375405665826240
- 113838740064000 is an abundant number, because the sum of its proper divisors (375405665826240) is greater than itself. Its abundance is 261566925762240
Bases of 113838740064000
- Binary: 110011110001001001001011010100111000111000000002
- Hexadecimal: 0x678925A9C700
- Base-36: 14COSMLS00
Squares and roots of 113838740064000
- 113838740064000 squared (1138387400640002) is 12959258739358958724096000000
- 113838740064000 cubed (1138387400640003) is 1475265687052004828182069637382144000000000
-
The
square root of 113838740064000 is 10669523.8911584053 -
The
cube root of 113838740064000 is 48465.2019583587
Scales and comparisons
How big is 113838740064000?- 113,838,740,064,000 seconds is equal to 3,619,719 years, 42 weeks.
-
To count from 1 to 113,838,740,064,000 would take you about nine million, forty-nine thousand, two hundred ninety-nine 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 113838740064000 cubic inches would be around 4038.8 feet tall.
Recreational maths with 113838740064000
- 113838740064000 backwards is 000460047838311
- 113838740064000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 113838740064000'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 113838740064000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 113838740064000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/113838740064000/
Chicago style:
Numbermatics. 2024. "Number 113838740064000 - Facts about the integer". https://numbermatics.com/n/113838740064000/
The information we have on file for 113838740064000 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 113838740064000, math, Factors of 113838740064000, curriculum, school, college, exams, university, Prime factorization of 113838740064000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirteen trillion, eight hundred thirty-eight billion, seven hundred forty million, sixty-four thousand.