13047350607206400

Names of 13047350607206400

• Cardinal: 13047350607206400 can be written as Thirteen quadrillion, forty-seven trillion, three hundred fifty billion, six hundred seven million, two hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 1.30473506072064 × 10¹⁶

Factors of 13047350607206400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2053

Divisors of 13047350607206400

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 41 46 48 50 60 64 69 75 80 82 92 96 100 115 120 123 128 138 150 160 164 184 192 200 205 230 240 246 256 276 300 320 328 345 368 384 400 410 460 480 492 512 529 552 575 600 615 640 656 690 736 768 800 820 920 943 960 984 1024 1025 1058 1104 1150 1200 1230 1280 1312 1380 1472 1536 1587 1600 1640 1725 1840 1886 1920 1968 1979 2048 2050 2116 2208 2300 2400 2460 2560 2624 2645 2760 2829 2944 3072 3075 3174 3200 3280 3450 3680 3772 3840 3936 3958 4100 4232 4416 4600 4715 4800 4920 5120 5248 5290 5520 5658 5888 5937 6144 6150 6348 6400 6560 6900 7360 7544 7680 7872 7916 7935 8200 8464 8832 9200 9430 9600 9840 9895 10240 10496 10580 11040 11316 11776 11874 12300 12696 12800 13120 13225 13800 14145 14720 15088 15360 15744 15832 15870 16400 16928 17664 18400 18860 19200 19680 19790 20992 21160 21689 22080 22632 23552 23575 23748 24600 25392 25600 26240 26450 27600 28290 29440 29685 30176 30720 31488 31664 31740 32800 33856 35328 36800 37720 38400 39360 39580 39675 41984 42320 43378 44160 45264 45517 47104 47150 47496 49200 49475 50784 51200 52480 52900 55200 56580 58880 59370 60352 62976 63328 63480 65067 65600 67712 70656 70725 73600 75440 76800 78720 79160 79350 81139 83968 84640 86756 88320 90528 91034 94300 94992 98400 98950 101568 104960 105800 108445 110400 113160 117760 118740 120704 125952 126656 126960 130134 131200 135424 136551 141312 141450 147200 148425 150880 153600 157440 158320 158700 162278 169280 173512 176640 181056 182068 188600 189984 196800 197900 203136 209920 211600 216890 220800 226320 227585 235520 237480 241408 243417 251904 253312 253920 260268 262400 270848 273102 282900 294400 296850 301760 314880 316640 317400 324556 325335 338560 347024 353280 362112 364136 377200 379968 393600 395800 405695 406272 419840 423200 433780 441600 452640 455170 474960 482816 486834 506624 507840 520536 524800 541696 542225 546204 565800 588800 593700 603520 629760 633280 634800 649112 650670 677120 682755 694048 706560 724224 728272 754400 759936 787200 791600 811390 812544 846400 867560 883200 905280 910340 949920 965632 973668 1013248 1015680 1041072 1046891 1049600 1083392 1084450 1092408 1131600 1137925 1177600 1187400 1207040 1217085 1259520 1266560 1269600 1298224 1301340 1354240 1365510 1388096 1448448 1456544 1508800 1519872 1574400 1583200 1622780 1625088 1626675 1692800 1735120 1766400 1810560 1820680 1866197 1899840 1931264 1947336 2026496 2028475 2031360 2082144 2093782 2099200 2168900 2184816 2263200 2275850 2374800 2414080 2434170 2533120 2539200 2596448 2602680 2708480 2731020 2776192 2896896 2913088 3017600 3039744 3140673 3148800 3166400 3245560 3250176 3253350 3385600 3413775 3470240 3532800 3621120 3641360 3732394 3799680 3894672 3916441 4052992 4056950 4062720 4164288 4187564 4337800 4369632 4526400 4551700 4749600 4828160 4868340 5066240 5078400 5192896 5205360 5234455 5416960 5462040 5552384 5598591 5793792 5826176 6035200 6079488 6085425 6281346 6297600 6332800 6491120 6506700 6771200 6827550 6940480 7242240 7282720 7464788 7599360 7789344 7832882 8113900 8125440 8328576 8375128 8675600 8739264 9052800 9103400 9330985 9499200 9656320 9736680 10132480 10156800 10385792 10410720 10468910 10924080 11104768 11197182 11652352 11749323 12070400 12158976 12170850 12562692 12665600 12982240 13013400 13542400 13655100 13880960 14484480 14565440 14929576 15198720 15578688 15665764 15703365 16227800 16250880 16657152 16750256 17351200 17478528 18105600 18206800 18661970 18998400 19473360 19582205 20264960 20313600 20771584 20821440 20937820 21848160 22209536 22394364 23304704 23498646 24140800 24341700 25125384 25331200 25964480 26026800 26172275 27084800 27310200 27761920 27992955 28968960 29130880 29859152 30397440 31157376 31331528 31406730 32455600 33314304 33500512 34702400 34957056 36211200 36413600 37323940 37996800 38946720 39164410 40627200 41543168 41642880 41875640 42922531 43696320 44419072 44788728 46609408 46654925 46997292 48281600 48683400 50250768 50662400 51928960 52053600 52344550 54620400 55523840 55985910 58261760 58746615 59718304 60794880 62314752 62663056 62813460 64911200 66628608 67001024 69404800 69914112 72422400 72827200 74647880 75993600 77893440 78328820 78516825 81254400 83086336 83285760 83751280 85845062 87392640 89577456 90078143 93218816 93309850 93994584 97366800 97911025 100501536 101324800 103857920 104107200 104689100 109240800 111047680 111971820 116523520 117493230 119436608 124629504 125326112 125626920 128767593 129822400 133257216 134002048 138809600 139828224 139964775 144844800 145654400 149295760 151987200 155786880 156657640 157033650 160574081 166172672 166571520 167502560 171690124 174785280 179154912 180156286 186619700 187989168 194733600 195822050 201003072 207715840 208214400 209378200 214612655 218481600 222095360 223943640 233047040 234986460 238873216 249259008 250652224 251253840 257535186 259644800 268004096 270234429 277619200 279656448 279929550 291308800 293733075 298591520 303974400 311573760 313315280 314067300 321148162 333143040 335005120 343380248 349570560 358309824 360312572 373239400 375978336 389467200 391644100 402006144 415431680 416428800 418756400 429225310 436963200 447887280 450390715 466094080 469972920 477746432 481722243 498518016 501304448 502507680 515070372 519289600 536008192 540468858 555238400 559859100 582617600 587466150 597183040 623147520 626630560 628134600 642296324 643837965 666286080 670010240 686760496 699141120 716619648 720625144 746478800 751956672 778934400 783288200 802870405 804012288 830863360 832857600 837512800 858450620 873926400 895774560 900781430 939945840 955492864 963444486 1002608896 1005015360 1030140744 1038579200 1072016384 1073063275 1080937716 1110476800 1119718200 1165235200 1174932300 1194366080 1246295040 1253261120 1256269200 1284592648 1287675930 1340020480 1351172145 1373520992 1398282240 1433239296 1441250288 1492957600 1503913344 1557868800 1566576400 1605740810 1608024576 1665715200 1675025600 1716901240 1747852800 1791549120 1801562860 1879891680 1910985728 1926888972 2005217792 2010030720 2060281488 2071797289 2077158400 2144032768 2146126550 2161875432 2239436400 2251953575 2330470400 2349864600 2388732160 2408611215 2492590080 2506522240 2512538400 2569185296 2575351860 2680040960 2702344290 2747041984 2866478592 2882500576 2985915200 3007826688 3115737600 3133152800 3211481620 3216049152 3219189825 3331430400 3350051200 3433802480 3495705600 3583098240 3603125720 3693203863 3759783360 3821971456 3853777944 4010435584 4014352025 4020061440 4120562976 4143594578 4154316800 4292253100 4323750864 4478872800 4503907150 4699729200 4777464320 4817222430 5013044480 5025076800 5138370592 5150703720 5360081920 5404688580 5494083968 5732957184 5765001152 5971830400 6015653376 6215391867 6231475200 6266305600 6422963240 6432098304 6438379650 6700102400 6755860725 6867604960 6991411200 7166196480 7206251440 7386407726 7519566720 7707555888 8020871168 8028704050 8040122880 8241125952 8287189156 8584506200 8647501728 8957745600 9007814300 9399458400 9554928640 9634444860 10026088960 10050153600 10276741184 10301407440 10358986445 10720163840 10809377160 10988167936 11079611589 11465914368 11530002304 11943660800 12031306752 12043056075 12430783734 12462950400 12532611200 12845926480 12876759300 13400204800 13511721450 13735209920 14332392960 14412502880 14772815452 15039133440 15415111776 16057408100 16080245760 16482251904 16574378312 17169012400 17295003456 17915491200 18015628600 18466019315 18798916800 19109857280 19268889720 20052177920 20100307200 20553482368 20602814880 20717972890 21618754320 21976335872 22159223178 23060004608 23887321600 24062613504 24086112150 24861567468 25065222400 25691852960 25753518600 26800409600 27023442900 27470419840 28664785920 28825005760 29545630904 30078266880 30830223552 31076959335 32114816200 32160491520 32964503808 33148756624 34338024800 34590006912 35830982400 36031257200 36932038630 37597833600 38537779440 40104355840 40200614400 41106964736 41205629760 41435945780 43237508640 43952671744 44318446356 46120009216 47774643200 48172224300 49723134936 50130444800 51383705920 51507037200 51794932225 53600819200 54046885800 54940839680 55398057945 57329571840 57650011520 59091261808 60156533760 61660447104 62153918670 64229632400 65929007616 66297513248 68676049600 69180013824 71661964800 72062514400 73864077260 75195667200 77075558880 80401228800 82213929472 82411259520 82871891560 84943688849 86475017280 87905343488 88636892712 92240018432 92330096575 95549286400 96344448600 99446269872 100260889600 102767411840 103014074400 103589864450 108093771600 109881679360 110796115890 115300023040 118182523616 120313067520 123320894208 124307837340 128459264800 131858015232 132595026496 137352099200 138360027648 143323929600 144125028800 147728154520 150391334400 154151117760 155384796675 160802457600 164427858944 164822519040 165743783120 169887377698 172950034560 177273785424 184480036864 184660193150 192688897200 198892539744 200521779200 205534823680 206028148800 207179728900 216187543200 219763358720 221592231780 230600046080 236365047232 246641788416 248615674680 254831066547 256918529600 263716030464 265190052992 274704198400 276720055296 276990289725 286647859200 288250057600 295456309040 300782668800 308302235520 310769593350 328855717888 329645038080 331487566240 339774755396 345900069120 354547570848 369320386300 385377794400 397785079488 411069647360 412056297600 414359457800 424718444245 432375086400 439526717440 443184463560 461200092160 472730094464 493283576832 497231349360 509662133094 513837059200 530380105984 549408396800 553440110592 553980579450 576500115200 590912618080 601565337600 616604471040 621539186700 659290076160 662975132480 679549510792 691800138240 709095141696 738640772600 770755588800 795570158976 822139294720 824112595200 828718915600 849436888490 864750172800 886368927120 922400184320 945460188928 986567153664 994462698720 1019324266188 1027674118400 1060760211968 1098816793600 1107961158900 1153000230400 1181825236160 1233208942080 1243078373400 1274155332735 1318580152320 1325950264960 1359099021584 1383600276480 1418190283392 1477281545200 1541511177600 1591140317952 1644278589440 1648225190400 1657437831200 1698873776980 1729500345600 1772737854240 1890920377856 1988925397440 2038648532376 2055348236800 2121520423936 2123592221225 2197633587200 2215922317800 2306000460800 2363650472320 2466417884160 2486156746800 2548310665470 2651900529920 2718198043168 2767200552960 2836380566784 2954563090400 3083022355200 3182280635904 3296450380800 3314875662400 3397747553960 3459000691200 3545475708480 3781840755712 3977850794880 4077297064752 4110696473600 4243040847872 4247184442450 4431844635600 4612000921600 4727300944640 4932835768320 4972313493600 5096621330940 5303801059840 5436396086336 5672761133568 5909126180800 6166044710400 6364561271808 6370776663675 6592900761600 6629751324800 6795495107920 6918001382400 7090951416960 7563681511424 7955701589760 8154594129504 8221392947200 8494368884900 8863689271200 9454601889280 9944626987200 10193242661880 10607602119680 10872792172672 11345522267136 11818252361600 12332089420800 12729122543616 12741553327350 13259502649600 13590990215840 13836002764800 14181902833920 15911403179520 16309188259008 16988737769800 17727378542400 18909203778560 19889253974400 20386485323760 21215204239360 21745584345344 22691044534272 23636504723200 24664178841600 25483106654700 26519005299200 27181980431680 28363805667840 31822806359040 32618376518016 33977475539600 35454757084800 37818407557120 39778507948800 40772970647520 43491168690688 47273009446400 50966213309400 53038010598400 54363960863360 56727611335680 63645612718080 65236753036032 67954951079200 70909514169600 79557015897600 81545941295040 86982337381376 94546018892800 101932426618800 106076021196800 108727921726720 113455222671360 130473506072064 135909902158400 141819028339200 159114031795200 163091882590080 173964674762752 189092037785600 203864853237600 217455843453440 260947012144128 271819804316800 283638056678400 318228063590400 326183765180160 407729706475200 434911686906880 521894024288256 543639608633600 567276113356800 652367530360320 815459412950400 869823373813760 1087279217267200 1304735060720640 1630918825900800 2174558434534400 2609470121441280 3261837651801600 4349116869068800 6523675303603200 13047350607206400
• Sum of all divisors σ(n): 46212675008015880
• Sum of proper divisors (its aliquot sum) s(n): 33165324400809480
• 13047350607206400 is an abundant number, because the sum of its proper divisors (33165324400809480) is greater than itself. Its abundance is 20117973793603080

Bases of 13047350607206400

• Binary: 101110010110100111111100001010001100111101100000000000₂
• Hexadecimal: 0x2E5A7F0A33D800
• Base-36: 3KGWE4EX5HC

Squares and roots of 13047350607206400

• 13047350607206400 squared (13047350607206400²) is 170233357867369214779612200960000
• 13047350607206400 cubed (13047350607206400³) is 2221094305137604115011711627350573940998144000000
• The square root of 13047350607206400 is 114224999.9221116217
• The cube root of 13047350607206400 is 235418.6026737619

Scales and comparisons

• 13,047,350,607,206,400 seconds is equal to 414,865,391 years, 10 weeks, 4 days, 5 hours, 20 minutes.
• To count from 1 to 13,047,350,607,206,400 would take you about one billion, two hundred forty-four million, five hundred ninety-six thousand, one hundred seventy-three 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 13047350607206400 cubic inches would be around 19618.2 feet tall.

Recreational maths with 13047350607206400

• 13047350607206400 backwards is 00460270605374031
• 13047350607206400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13047350607206400's digits is 48
• More coming soon!