13072014786048000

Names of 13072014786048000

• Cardinal: 13072014786048000 can be written as Thirteen quadrillion, seventy-two trillion, fourteen billion, seven hundred eighty-six million, forty-eight thousand.

Scientific notation

• Scientific notation: 1.3072014786048 × 10¹⁶

Factors of 13072014786048000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2083

Divisors of 13072014786048000

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 53 60 64 75 80 82 96 100 106 120 123 125 128 150 159 160 164 192 200 205 212 240 246 250 256 265 300 318 320 328 375 384 400 410 424 480 492 500 512 530 600 615 636 640 656 750 768 795 800 820 848 960 984 1000 1024 1025 1060 1200 1230 1272 1280 1312 1325 1500 1536 1590 1600 1640 1696 1920 1968 1979 2000 2048 2050 2120 2173 2400 2460 2544 2560 2624 2650 3000 3072 3075 3180 3200 3280 3392 3840 3936 3958 3975 4000 4096 4100 4240 4346 4800 4920 5088 5120 5125 5248 5300 5937 6000 6144 6150 6360 6400 6519 6560 6625 6784 7680 7872 7916 7950 8000 8200 8480 8692 9600 9840 9895 10176 10240 10250 10496 10600 10865 11874 12000 12288 12300 12720 12800 13038 13120 13250 13568 15360 15375 15744 15832 15900 16000 16400 16960 17384 19200 19680 19790 19875 20352 20480 20500 20992 21200 21730 23748 24000 24600 25440 25600 26076 26240 26500 27136 29685 30720 30750 31488 31664 31800 32000 32595 32800 33920 34768 38400 39360 39580 39750 40704 41000 41984 42400 43460 47496 48000 49200 49475 50880 51200 52152 52480 53000 54272 54325 59370 61440 61500 62976 63328 63600 64000 65190 65600 67840 69536 76800 78720 79160 79500 81139 81408 82000 83968 84800 86920 94992 96000 98400 98950 101760 102400 104304 104887 104960 106000 108544 108650 118740 123000 125952 126656 127200 128000 130380 131200 135680 139072 148425 153600 157440 158320 159000 162278 162816 162975 164000 167936 169600 173840 189984 192000 196800 197900 203520 208608 209774 209920 212000 217088 217300 237480 243417 246000 247375 251904 253312 254400 256000 260760 262400 271360 271625 278144 296850 307200 314661 314880 316640 318000 324556 325632 325950 328000 339200 347680 379968 384000 393600 395800 405695 407040 417216 419548 419840 424000 434600 474960 486834 492000 494750 503808 506624 508800 512000 521520 524435 524800 542720 543250 556288 593700 629322 629760 633280 636000 649112 651264 651900 656000 678400 695360 742125 759936 768000 787200 791600 811390 814080 814875 834432 839096 839680 848000 869200 949920 973668 984000 989500 1013248 1017600 1043040 1048870 1049600 1085440 1086500 1112576 1187400 1217085 1258644 1259520 1266560 1272000 1298224 1303800 1312000 1356800 1390720 1484250 1519872 1536000 1573305 1574400 1583200 1622780 1628160 1629750 1668864 1678192 1696000 1738400 1899840 1947336 1968000 1979000 2026496 2028475 2035200 2086080 2097740 2099200 2173000 2225152 2374800 2434170 2517288 2519040 2533120 2544000 2596448 2607600 2622175 2624000 2713600 2781440 2968500 3039744 3146610 3148800 3166400 3245560 3256320 3259500 3337728 3356384 3392000 3476800 3799680 3894672 3916441 3936000 3958000 4052992 4056950 4070400 4172160 4195480 4198400 4300367 4346000 4450304 4749600 4868340 5034576 5066240 5088000 5192896 5215200 5244350 5248000 5427200 5562880 5937000 6079488 6085425 6293220 6297600 6332800 6491120 6519000 6675456 6712768 6784000 6953600 7599360 7789344 7832882 7866525 7872000 7916000 8105984 8113900 8140800 8344320 8390960 8600734 8692000 8900608 9499200 9736680 10069152 10132480 10142375 10176000 10385792 10430400 10488700 10496000 11125760 11749323 11874000 12158976 12170850 12586440 12595200 12665600 12901101 12982240 13038000 13110875 13350912 13425536 13568000 13907200 15198720 15578688 15665764 15733050 15744000 15832000 16227800 16281600 16688640 16781920 17201468 17384000 18998400 19473360 19582205 20138304 20264960 20284750 20352000 20771584 20860800 20977400 20992000 21501835 22251520 23498646 23748000 24317952 24341700 25172880 25331200 25802202 25964480 26076000 26221750 26701824 26851072 27136000 27814400 30397440 30427125 31157376 31331528 31466100 31488000 31664000 32455600 33377280 33563840 34402936 34768000 37996800 38946720 39164410 39332625 40276608 40529920 40569500 40704000 41543168 41721600 41954800 43003670 44503040 46997292 47496000 48683400 50345760 50662400 51604404 51928960 52152000 52443500 53702144 55628800 58746615 60794880 60854250 62314752 62663056 62932200 62976000 63328000 64505505 64911200 66754560 67127680 68805872 69536000 75993600 77893440 78328820 78665250 80553216 81139000 81408000 83086336 83443200 83909600 86007340 93994584 94992000 97366800 97911025 100691520 101324800 103208808 103857920 104304000 104887000 107404288 107509175 111257600 117493230 121589760 121708500 124629504 125326112 125864400 126656000 129011010 129822400 133509120 134255360 137611744 139072000 151987200 155786880 156657640 157330500 160574081 161106432 162278000 166172672 166886400 167819200 172014680 187989168 189984000 194733600 195822050 201383040 202649600 206417616 207571373 207715840 208608000 209774000 214808576 215018350 222515200 234986460 243417000 249259008 250652224 251728800 253312000 258022020 259644800 268510720 275223488 278144000 293733075 303974400 311573760 313315280 314661000 321148162 322212864 322527525 324556000 332345344 333772800 335638400 344029360 375978336 379968000 389467200 391644100 402766080 412835232 415142746 415431680 417216000 419548000 429617152 430036700 469972920 481722243 486834000 489555125 498518016 501304448 503457600 506624000 516044040 519289600 537021440 537545875 550446976 556288000 587466150 607948800 622714119 623147520 626630560 629322000 642296324 644425728 645055050 649112000 667545600 671276800 688058720 751956672 759936000 778934400 783288200 802870405 805532160 825670464 830285492 830863360 834432000 839096000 860073400 939945840 963444486 973668000 979110250 997036032 1002608896 1006915200 1013248000 1032088080 1037856865 1038579200 1074042880 1075091750 1100893952 1112576000 1174932300 1245428238 1246295040 1253261120 1258644000 1284592648 1288851456 1290110100 1298224000 1342553600 1376117440 1468665375 1503913344 1519872000 1557868800 1566576400 1605740810 1611064320 1612637625 1651340928 1660570984 1661726720 1668864000 1678192000 1720146800 1879891680 1926888972 1947336000 1958220500 2005217792 2013830400 2064176160 2075713730 2077158400 2148085760 2150183500 2201787904 2349864600 2408611215 2490856476 2492590080 2506522240 2517288000 2569185296 2580220200 2596448000 2685107200 2752234880 2937330750 3007826688 3039744000 3113570595 3115737600 3133152800 3211481620 3222128640 3225275250 3302681856 3321141968 3337728000 3356384000 3440293600 3759783360 3853777944 3894672000 3916441000 4010435584 4014352025 4027660800 4128352320 4151427460 4154316800 4300367000 4403575808 4699729200 4817222430 4981712952 4985180160 5013044480 5034576000 5138370592 5160440400 5189284325 5192896000 5370214400 5504469760 5874661500 6015653376 6227141190 6231475200 6266305600 6422963240 6444257280 6450550500 6605363712 6642283936 6712768000 6880587200 7519566720 7707555888 7789344000 7832882000 8020871168 8028704050 8055321600 8256704640 8302854920 8308633600 8510426293 8600734000 8807151616 9399458400 9634444860 9963425904 10026088960 10069152000 10276741184 10320880800 10378568650 10385792000 10740428800 11008939520 11749323000 12031306752 12043056075 12454282380 12462950400 12532611200 12845926480 12901101000 13210727424 13284567872 13425536000 13761174400 15039133440 15415111776 15567852975 15578688000 15665764000 16041742336 16057408100 16110643200 16513409280 16605709840 17020852586 17201468000 17614303232 18798916800 19268889720 19926851808 20052177920 20071760125 20138304000 20553482368 20641761600 20757137300 20771584000 22017879040 23498646000 24062613504 24086112150 24908564760 24925900800 25065222400 25531278879 25691852960 25802202000 25946421625 26421454848 26569135744 26851072000 27522348800 30078266880 30830223552 31135705950 31157376000 31331528000 32114816200 32221286400 33026818560 33211419680 34041705172 34402936000 37597833600 38537779440 39853703616 40104355840 40143520250 40276608000 41106964736 41283523200 41514274600 41543168000 42552131465 44035758080 46997292000 48125227008 48172224300 49817129520 50130444800 51062557758 51383705920 51604404000 51892843250 52842909696 53138271488 53702144000 55044697600 60156533760 60215280375 61660447104 62271411900 62314752000 62663056000 64229632400 66053637120 66422839360 68083410344 68805872000 75195667200 77075558880 77839264875 79707407232 80208711680 80287040500 80553216000 82213929472 82567046400 83028549200 85104262930 88071516160 93994584000 96344448600 99634259040 100260889600 102125115516 102767411840 103208808000 103785686500 106276542976 110089395200 120313067520 120430560750 123320894208 124542823800 124629504000 125326112000 127656394395 128459264800 132107274240 132845678720 136166820688 137611744000 150391334400 154151117760 155678529750 159414814464 160574081000 161106432000 164427858944 165134092800 166057098400 170208525860 187989168000 192688897200 199268518080 200521779200 204250231032 205534823680 206417616000 207571373000 212553085952 212760657325 220178790400 240626135040 240861121500 246641788416 249085647600 250652224000 255312788790 256918529600 264214548480 265691357440 272333641376 275223488000 300782668800 308302235520 311357059500 318829628928 321148162000 328855717888 330268185600 332114196800 340417051720 375978336000 385377794400 398537036160 401043558400 408500462064 411069647360 412835232000 415142746000 425106171904 425521314650 440357580800 481722243000 493283576832 498171295200 501304448000 510625577580 513837059200 531382714880 544667282752 550446976000 601565337600 616604471040 622714119000 637659257856 638281971975 642296324000 657711435776 660536371200 664228393600 680834103440 751956672000 770755588800 797074072320 817000924128 822139294720 825670464000 830285492000 850212343808 851042629300 963444486000 986567153664 996342590400 1002608896000 1021251155160 1027674118400 1062765429760 1063803286625 1089334565504 1100893952000 1203130675200 1233208942080 1245428238000 1275318515712 1276563943950 1284592648000 1321072742400 1328456787200 1361668206880 1503913344000 1541511177600 1594148144640 1634001848256 1644278589440 1651340928000 1660570984000 1702085258600 1926888972000 1973134307328 1992685180800 2005217792000 2042502310320 2055348236800 2125530859520 2127606573250 2178669131008 2201787904000 2466417884160 2490856476000 2550637031424 2553127887900 2569185296000 2656913574400 2723336413760 3007826688000 3083022355200 3188296289280 3191409859875 3268003696512 3288557178880 3302681856000 3321141968000 3404170517200 3853777944000 3985370361600 4085004620640 4110696473600 4251061719040 4255213146500 4357338262016 4932835768320 4981712952000 5106255775800 5138370592000 5313827148800 5446672827520 6015653376000 6166044710400 6376592578560 6382819719750 6536007393024 6605363712000 6642283936000 6808341034400 7707555888000 7970740723200 8170009241280 8221392947200 8510426293000 8714676524032 9865671536640 9963425904000 10212511551600 10276741184000 10627654297600 10893345655040 12332089420800 12753185157120 12765639439500 13072014786048 13284567872000 13616682068800 15415111776000 15941481446400 16340018482560 16442785894400 17020852586000 17429353048064 19926851808000 20425023103200 20553482368000 21255308595200 21786691310080 24664178841600 25531278879000 26144029572096 26569135744000 27233364137600 30830223552000 31882962892800 32680036965120 34041705172000 34858706096128 39853703616000 40850046206400 41106964736000 43573382620160 49328357683200 51062557758000 52288059144192 53138271488000 54466728275200 61660447104000 63765925785600 65360073930240 68083410344000 79707407232000 81700092412800 82213929472000 87146765240320 102125115516000 104576118288384 106276542976000 108933456550400 123320894208000 130720147860480 136166820688000 159414814464000 163400184825600 174293530480640 204250231032000 217866913100800 246641788416000 261440295720960 272333641376000 318829628928000 326800369651200 408500462064000 435733826201600 522880591441920 544667282752000 653600739302400 817000924128000 871467652403200 1089334565504000 1307201478604800 1634001848256000 2178669131008000 2614402957209600 3268003696512000 4357338262016000 6536007393024000 13072014786048000
• Sum of all divisors σ(n): 45422983994012352
• Sum of proper divisors (its aliquot sum) s(n): 32350969207964352
• 13072014786048000 is an abundant number, because the sum of its proper divisors (32350969207964352) is greater than itself. Its abundance is 19278954421916352

Bases of 13072014786048000

• Binary: 101110011100001110110110011101110100100011000000000000₂
• Hexadecimal: 0x2E70ED9DD23000
• Base-36: 3KPN4OU6Y2O

Squares and roots of 13072014786048000

• 13072014786048000 squared (13072014786048000²) is 170877570566657539215458304000000
• 13072014786048000 cubed (13072014786048000³) is 2233714129051307874610045351536824942592000000000
• The square root of 13072014786048000 is 114332912.0859256343
• The cube root of 13072014786048000 is 235566.8512032903

Scales and comparisons

• 13,072,014,786,048,000 seconds is equal to 415,649,635 years, 41 weeks, 4 days, 2 hours, 40 minutes.
• To count from 1 to 13,072,014,786,048,000 would take you about one billion, two hundred forty-six million, nine hundred forty-eight thousand, nine hundred 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 13072014786048000 cubic inches would be around 19630.6 feet tall.

Recreational maths with 13072014786048000

• 13072014786048000 backwards is 00084068741027031
• The number of decimal digits it has is: 17
• The sum of 13072014786048000's digits is 51
• More coming soon!