13427982434304000
13,427,982,434,304,000 is an even composite number composed of five prime numbers multiplied together.
13427982434304000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 13427982434304000:
218 × 33 × 53 × 1272 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 127 × 127 × 941)See below for interesting mathematical facts about the number 13427982434304000 from the Numbermatics database.
Names of 13427982434304000
- Cardinal: 13427982434304000 can be written as Thirteen quadrillion, four hundred twenty-seven trillion, nine hundred eighty-two billion, four hundred thirty-four million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.3427982434304 × 1016
Factors of 13427982434304000
Divisors of 13427982434304000
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 127 128 135 144 150 160 180 192 200 216 225 240 250 254 256 270 288 300 320 360 375 381 384 400 432 450 480 500 508 512 540 576 600 635 640 675 720 750 762 768 800 864 900 941 960 1000 1016 1024 1080 1125 1143 1152 1200 1270 1280 1350 1440 1500 1524 1536 1600 1728 1800 1882 1905 1920 2000 2032 2048 2160 2250 2286 2304 2400 2540 2560 2700 2823 2880 3000 3048 3072 3175 3200 3375 3429 3456 3600 3764 3810 3840 4000 4064 4096 4320 4500 4572 4608 4705 4800 5080 5120 5400 5646 5715 5760 6000 6096 6144 6350 6400 6750 6858 6912 7200 7528 7620 7680 8000 8128 8192 8469 8640 9000 9144 9216 9410 9525 9600 10160 10240 10800 11292 11430 11520 12000 12192 12288 12700 12800 13500 13716 13824 14115 14400 15056 15240 15360 15875 16000 16129 16256 16384 16938 17145 17280 18000 18288 18432 18820 19050 19200 20320 20480 21600 22584 22860 23040 23525 24000 24384 24576 25400 25407 25600 27000 27432 27648 28230 28575 28800 30112 30480 30720 31750 32000 32258 32512 32768 33876 34290 34560 36000 36576 36864 37640 38100 38400 40640 40960 42345 43200 45168 45720 46080 47050 47625 48000 48387 48768 49152 50800 50814 51200 54000 54864 55296 56460 57150 57600 60224 60960 61440 63500 64000 64516 65024 65536 67752 68580 69120 70575 72000 73152 73728 75280 76200 76800 80645 81280 81920 84690 85725 86400 90336 91440 92160 94100 95250 96000 96774 97536 98304 101600 101628 102400 108000 109728 110592 112920 114300 115200 117625 119507 120448 121920 122880 127000 127035 128000 129032 130048 131072 135504 137160 138240 141150 142875 144000 145161 146304 147456 150560 152400 153600 161290 162560 163840 169380 171450 172800 180672 182880 184320 188200 190500 192000 193548 195072 196608 203200 203256 204800 211725 216000 219456 221184 225840 228600 230400 235250 239014 240896 241935 243840 245760 254000 254070 256000 258064 260096 262144 271008 274320 276480 282300 285750 288000 290322 292608 294912 301120 304800 307200 322580 325120 327680 338760 342900 345600 352875 358521 361344 365760 368640 376400 381000 384000 387096 390144 393216 403225 406400 406512 409600 423450 428625 432000 435483 438912 442368 451680 457200 460800 470500 478028 481792 483870 487680 491520 508000 508140 512000 516128 520192 542016 548640 552960 564600 571500 576000 580644 585216 589824 597535 602240 609600 614400 635175 645160 650240 655360 677520 685800 691200 705750 717042 722688 725805 731520 737280 752800 762000 768000 774192 780288 786432 806450 812800 813024 819200 846900 857250 864000 870966 877824 884736 903360 914400 921600 941000 956056 963584 967740 975360 983040 1016000 1016280 1024000 1032256 1040384 1058625 1075563 1084032 1097280 1105920 1129200 1143000 1152000 1161288 1170432 1179648 1195070 1204480 1209675 1219200 1228800 1270350 1290320 1300480 1310720 1355040 1371600 1382400 1411500 1434084 1445376 1451610 1463040 1474560 1505600 1524000 1536000 1548384 1560576 1612900 1625600 1626048 1638400 1693800 1714500 1728000 1741932 1755648 1769472 1792605 1806720 1828800 1843200 1882000 1912112 1927168 1935480 1950720 1966080 2016125 2032000 2032560 2048000 2064512 2080768 2117250 2151126 2168064 2177415 2194560 2211840 2258400 2286000 2304000 2322576 2340864 2359296 2390140 2408960 2419350 2438400 2457600 2540700 2580640 2600960 2710080 2743200 2764800 2823000 2868168 2890752 2903220 2926080 2949120 2987675 3011200 3048000 3072000 3096768 3121152 3175875 3225800 3226689 3251200 3252096 3276800 3387600 3429000 3456000 3483864 3511296 3538944 3585210 3613440 3629025 3657600 3686400 3764000 3824224 3854336 3870960 3901440 3932160 4032250 4064000 4065120 4096000 4129024 4161536 4234500 4302252 4336128 4354830 4389120 4423680 4516800 4572000 4608000 4645152 4681728 4780280 4817920 4838700 4876800 4915200 5081400 5161280 5201920 5377815 5420160 5486400 5529600 5646000 5736336 5781504 5806440 5852160 5898240 5975350 6022400 6048375 6096000 6144000 6193536 6242304 6351750 6451600 6453378 6502400 6504192 6553600 6775200 6858000 6912000 6967728 7022592 7077888 7170420 7226880 7258050 7315200 7372800 7528000 7648448 7708672 7741920 7802880 8064500 8128000 8130240 8192000 8258048 8323072 8469000 8604504 8672256 8709660 8778240 8847360 8963025 9033600 9144000 9216000 9290304 9363456 9560560 9635840 9677400 9753600 9830400 10162800 10322560 10403840 10755630 10840320 10887075 10972800 11059200 11292000 11472672 11563008 11612880 11704320 11796480 11950700 12044800 12096750 12192000 12288000 12387072 12484608 12703500 12903200 12906756 13004800 13008384 13550400 13716000 13824000 13935456 14045184 14340840 14453760 14516100 14630400 14745600 14938375 15056000 15177389 15296896 15417344 15483840 15605760 16129000 16133445 16256000 16260480 16384000 16516096 16646144 16938000 17209008 17344512 17419320 17556480 17694720 17926050 18067200 18145125 18288000 18432000 18580608 18726912 19121120 19271680 19354800 19507200 19660800 20325600 20645120 20807680 21511260 21680640 21774150 21945600 22118400 22584000 22945344 23126016 23225760 23408640 23901400 24089600 24193500 24384000 24576000 24774144 24969216 25407000 25806400 25813512 26009600 26016768 26889075 27100800 27432000 27648000 27870912 28090368 28681680 28907520 29032200 29260800 29491200 29876750 30112000 30354778 30593792 30834688 30967680 31211520 32258000 32266890 32512000 32520960 32768000 33032192 33292288 33876000 34418016 34689024 34838640 35112960 35389440 35852100 36134400 36290250 36576000 36864000 37161216 37453824 38242240 38543360 38709600 39014400 40651200 41290240 41615360 43022520 43361280 43548300 43891200 44236800 44815125 45168000 45532167 45890688 46252032 46451520 46817280 47802800 48179200 48387000 48768000 49152000 49548288 49938432 50814000 51612800 51627024 52019200 52033536 53778150 54201600 54435375 54864000 55296000 55741824 56180736 57363360 57815040 58064400 58521600 58982400 59753500 60224000 60709556 61187584 61669376 61935360 62423040 64516000 64533780 65024000 65041920 66064384 67752000 68836032 69378048 69677280 70225920 71704200 72268800 72580500 73152000 73728000 74322432 74907648 75886945 76484480 77086720 77419200 78028800 80667225 81302400 82580480 83230720 86045040 86722560 87096600 87782400 88473600 89630250 90336000 91064334 91781376 92504064 92903040 93634560 95605600 96358400 96774000 97536000 98304000 99096576 99876864 101628000 103225600 103254048 104038400 104067072 107556300 108403200 108870750 109728000 110592000 111483648 112361472 114726720 115630080 116128800 117043200 119507000 120448000 121419112 122375168 123338752 123870720 124846080 129032000 129067560 130048000 130083840 132128768 134445375 135504000 136596501 137672064 138756096 139354560 140451840 143408400 144537600 145161000 146304000 147456000 148644864 149815296 151773890 152968960 154173440 154838400 156057600 161334450 162604800 165160960 166461440 172090080 173445120 174193200 175564800 176947200 179260500 180672000 182128668 183562752 185008128 185806080 187269120 191211200 192716800 193548000 195072000 198193152 203256000 206451200 206508096 208076800 208134144 215112600 216806400 217741500 219456000 221184000 222967296 224722944 227660835 229453440 231260160 232257600 234086400 239014000 240896000 242838224 244750336 246677504 247741440 249692160 258064000 258135120 260096000 260167680 264257536 268890750 271008000 273193002 275344128 277512192 278709120 280903680 286816800 289075200 290322000 292608000 294912000 297289728 299630592 303547780 305937920 308346880 309676800 312115200 322668900 325209600 330321920 344180160 346890240 348386400 351129600 358521000 361344000 364257336 367125504 370016256 371612160 374538240 379434725 382422400 385433600 387096000 390144000 396386304 403336125 406512000 409789503 412902400 413016192 416153600 416268288 430225200 433612800 435483000 438912000 442368000 445934592 449445888 455321670 458906880 462520320 464515200 468172800 478028000 481792000 485676448 489500672 495482880 499384320 516128000 516270240 520192000 520335360 528515072 537781500 542016000 546386004 550688256 555024384 557418240 561807360 573633600 578150400 580644000 585216000 594579456 607095560 611875840 616693760 619353600 624230400 645337800 650419200 660643840 682982505 688360320 693780480 696772800 702259200 717042000 722688000 728514672 734251008 740032512 743224320 749076480 758869450 764844800 770867200 774192000 780288000 792772608 806672250 813024000 819579006 825804800 826032384 832307200 832536576 860450400 867225600 870966000 877824000 884736000 891869184 898891776 910643340 917813760 925040640 929030400 936345600 956056000 963584000 971352896 979001344 990965760 1032256000 1032540480 1040384000 1040670720 1057030144 1075563000 1084032000 1092772008 1101376512 1110048768 1114836480 1123614720 1138304175 1147267200 1156300800 1161288000 1170432000 1189158912 1214191120 1223751680 1233387520 1238707200 1248460800 1290675600 1300838400 1321287680 1365965010 1376720640 1387560960 1393545600 1404518400 1434084000 1445376000 1457029344 1468502016 1486448640 1498152960 1517738900 1529689600 1541734400 1548384000 1560576000 1585545216 1613344500 1626048000 1639158012 1651609600 1652064768 1665073152 1720900800 1734451200 1741932000 1755648000 1783738368 1821286680 1835627520 1850081280 1858060800 1872691200 1897173625 1912112000 1927168000 1942705792 1958002688 1981931520 2048947515 2064512000 2065080960 2080768000 2081341440 2114060288 2151126000 2168064000 2185544016 2202753024 2220097536 2229672960 2247229440 2276608350 2294534400 2312601600 2322576000 2340864000 2378317824 2428382240 2447503360 2477414400 2496921600 2581351200 2601676800 2642575360 2731930020 2753441280 2775121920 2787091200 2809036800 2868168000 2890752000 2914058688 2937004032 2972897280 3035477800 3059379200 3083468800 3096768000 3121152000 3171090432 3226689000 3252096000 3278316024 3303219200 3304129536 3330146304 3414912525 3441801600 3468902400 3483864000 3511296000 3567476736 3642573360 3671255040 3700162560 3716121600 3745382400 3794347250 3824224000 3854336000 3885411584 3916005376 3963863040 4097895030 4129024000 4130161920 4161536000 4162682880 4228120576 4302252000 4336128000 4371088032 4405506048 4459345920 4494458880 4553216700 4589068800 4625203200 4645152000 4681728000 4756635648 4856764480 4895006720 4954828800 5162702400 5203353600 5285150720 5463860040 5506882560 5550243840 5574182400 5618073600 5691520875 5736336000 5781504000 5828117376 5874008064 5945794560 6070955600 6118758400 6166937600 6193536000 6242304000 6342180864 6453378000 6504192000 6556632048 6606438400 6608259072 6660292608 6829825050 6883603200 6937804800 6967728000 7022592000 7134953472 7285146720 7342510080 7432243200 7490764800 7588694500 7648448000 7708672000 7770823168 7832010752 7927726080 8195790060 8258048000 8260323840 8325365760 8604504000 8672256000 8742176064 8811012096 8918691840 9106433400 9178137600 9250406400 9290304000 9363456000 9513271296 9713528960 9790013440 9909657600 10244737575 10325404800 10406707200 10570301440 10927720080 11013765120 11100487680 11148364800 11236147200 11383041750 11472672000 11563008000 11656234752 11748016128 11891589120 12141911200 12237516800 12387072000 12484608000 12684361728 12906756000 13008384000 13113264096 13212876800 13216518144 13659650100 13767206400 13875609600 13935456000 14045184000 14269906944 14570293440 14685020160 14864486400 15177389000 15296896000 15417344000 15541646336 15664021504 15855452160 16391580120 16516096000 16520647680 16650731520 17074562625 17209008000 17344512000 17484352128 17622024192 17837383680 18212866800 18356275200 18500812800 18580608000 18726912000 19026542592 19427057920 19580026880 19819315200 20489475150 20650809600 20813414400 21140602880 21855440160 22027530240 22296729600 22472294400 22766083500 22945344000 23126016000 23312469504 23496032256 23783178240 24283822400 24475033600 24774144000 25813512000 26016768000 26226528192 26425753600 26433036288 27319300200 27534412800 27751219200 27870912000 28090368000 28539813888 29140586880 29370040320 29728972800 30354778000 30593792000 30834688000 31083292672 31328043008 31710904320 32783160240 33032192000 33041295360 33301463040 34149125250 34418016000 34689024000 34968704256 35244048384 35674767360 36425733600 36712550400 37161216000 37453824000 38053085184 38854115840 39160053760 39638630400 40978950300 41301619200 41626828800 43710880320 44055060480 44593459200 45532167000 45890688000 46252032000 46624939008 46992064512 47566356480 48567644800 48950067200 49548288000 51223687875 51627024000 52033536000 52453056384 52851507200 52866072576 54638600400 55068825600 55502438400 55741824000 56180736000 57079627776 58281173760 58740080640 59457945600 60709556000 61187584000 62166585344 63421808640 65566320480 66064384000 66082590720 68298250500 68836032000 69378048000 69937408512 70488096768 71349534720 72851467200 73425100800 74322432000 77708231680 78320107520 79277260800 81957900600 82603238400 83253657600 87421760640 88110120960 89186918400 91064334000 91781376000 92504064000 93249878016 93984129024 95132712960 97135289600 97900134400 99096576000 102447375750 103254048000 104067072000 104906112768 105703014400 105732145152 109277200800 110137651200 111483648000 112361472000 114159255552 116562347520 117480161280 118915891200 121419112000 122375168000 124333170688 131132640960 132128768000 132165181440 136596501000 137672064000 138756096000 139874817024 140976193536 142699069440 145702934400 146850201600 148644864000 155416463360 156640215040 158554521600 163915801200 165206476800 166507315200 174843521280 176220241920 178373836800 182128668000 183562752000 186499756032 190265425920 194270579200 195800268800 198193152000 204894751500 206508096000 208134144000 209812225536 211464290304 218554401600 220275302400 222967296000 233124695040 234960322560 237831782400 242838224000 244750336000 248666341376 262265281920 264257536000 264330362880 273193002000 275344128000 277512192000 279749634048 281952387072 285398138880 291405868800 293700403200 297289728000 310832926720 317109043200 327831602400 330412953600 349687042560 352440483840 356747673600 364257336000 367125504000 372999512064 388541158400 391600537600 396386304000 409789503000 413016192000 416268288000 419624451072 422928580608 437108803200 440550604800 445934592000 466249390080 469920645120 475663564800 485676448000 489500672000 497332682752 524530563840 528515072000 528660725760 546386004000 550688256000 559499268096 570796277760 582811737600 587400806400 594579456000 621665853440 655663204800 660825907200 699374085120 704880967680 713495347200 728514672000 734251008000 745999024128 777082316800 783201075200 792772608000 819579006000 826032384000 832536576000 839248902144 845857161216 874217606400 881101209600 891869184000 932498780160 951327129600 971352896000 979001344000 994665365504 1049061127680 1057321451520 1092772008000 1101376512000 1118998536192 1165623475200 1174801612800 1189158912000 1243331706880 1311326409600 1321651814400 1398748170240 1409761935360 1426990694400 1457029344000 1468502016000 1491998048256 1554164633600 1585545216000 1639158012000 1652064768000 1678497804288 1748435212800 1762202419200 1783738368000 1864997560320 1942705792000 1958002688000 1989330731008 2098122255360 2114642903040 2185544016000 2202753024000 2237997072384 2331246950400 2349603225600 2378317824000 2486663413760 2622652819200 2643303628800 2797496340480 2853981388800 2914058688000 2937004032000 2983996096512 3108329267200 3278316024000 3304129536000 3356995608576 3496870425600 3524404838400 3567476736000 3729995120640 3885411584000 3916005376000 3978661462016 4196244510720 4229285806080 4371088032000 4405506048000 4475994144768 4662493900800 4756635648000 4973326827520 5245305638400 5286607257600 5594992680960 5828117376000 5874008064000 5967992193024 6216658534400 6556632048000 6608259072000 6713991217152 6993740851200 7048809676800 7134953472000 7459990241280 7770823168000 8392489021440 8742176064000 8811012096000 8951988289536 9324987801600 9946653655040 10490611276800 10573214515200 11189985361920 11656234752000 11748016128000 11935984386048 12433317068800 13113264096000 13216518144000 13427982434304 13987481702400 14269906944000 14919980482560 15541646336000 16784978042880 17484352128000 17622024192000 17903976579072 18649975603200 19893307310080 20981222553600 21146429030400 22379970723840 23312469504000 24866634137600 26226528192000 26433036288000 26855964868608 27974963404800 29839960965120 31083292672000 33569956085760 34968704256000 35244048384000 35807953158144 37299951206400 41962445107200 44759941447680 46624939008000 49733268275200 52453056384000 52866072576000 53711929737216 55949926809600 59679921930240 62166585344000 67139912171520 69937408512000 74599902412800 83924890214400 89519882895360 93249878016000 99466536550400 104906112768000 105732145152000 107423859474432 111899853619200 124333170688000 134279824343040 139874817024000 149199804825600 167849780428800 179039765790720 186499756032000 209812225536000 223799707238400 248666341376000 268559648686080 279749634048000 298399609651200 335699560857600 372999512064000 419624451072000 447599414476800 497332682752000 537119297372160 559499268096000 671399121715200 745999024128000 839248902144000 895198828953600 1118998536192000 1342798243430400 1491998048256000 1678497804288000 2237997072384000 2685596486860800 3356995608576000 4475994144768000 6713991217152000 13427982434304000
- Sum of all divisors σ(n): 50100837702102720
- Sum of proper divisors (its aliquot sum) s(n): 36672855267798720
- 13427982434304000 is an abundant number, because the sum of its proper divisors (36672855267798720) is greater than itself. Its abundance is 23244872833494720
Bases of 13427982434304000
- Binary: 1011111011010010101101110010110000110000000000000000002
- Hexadecimal: 0x2FB4ADCB0C0000
- Base-36: 3O7TLYX5HC0
Squares and roots of 13427982434304000
- 13427982434304000 squared (134279824343040002) is 180310712255976777675964416000000
- 13427982434304000 cubed (134279824343040003) is 2421209076890099138670590462470561726464000000000
-
The
square root of 13427982434304000 is 115879171.7018377725 -
The
cube root of 13427982434304000 is 237685.9924224021
Scales and comparisons
How big is 13427982434304000?- 13,427,982,434,304,000 seconds is equal to 426,968,305 years, 48 weeks, 4 days.
-
To count from 1 to 13,427,982,434,304,000 would take you about one billion, two hundred eighty million, nine hundred four thousand, nine hundred seventeen 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 13427982434304000 cubic inches would be around 19807.2 feet tall.
Recreational maths with 13427982434304000
- 13427982434304000 backwards is 00040343428972431
- 13427982434304000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13427982434304000's digits is 54
- 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 13427982434304000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13427982434304000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13427982434304000/
Chicago style:
Numbermatics. 2024. "Number 13427982434304000 - Facts about the integer". https://numbermatics.com/n/13427982434304000/
The information we have on file for 13427982434304000 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 13427982434304000, math, Factors of 13427982434304000, curriculum, school, college, exams, university, Prime factorization of 13427982434304000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred twenty-seven trillion, nine hundred eighty-two billion, four hundred thirty-four million, three hundred four thousand.