13006816462296000
13,006,816,462,296,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13006816462296000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
13006816462296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 13006816462296000:
26 × 35 × 53 × 1572 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 157 × 157 × 521 × 521)See below for interesting mathematical facts about the number 13006816462296000 from the Numbermatics database.
Names of 13006816462296000
- Cardinal: 13006816462296000 can be written as Thirteen quadrillion, six trillion, eight hundred sixteen billion, four hundred sixty-two million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3006816462296 × 1016
Factors of 13006816462296000
Divisors of 13006816462296000
- Number of divisors d(n): 1512
-
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 81 90 96 100 108 120 125 135 144 150 157 160 162 180 192 200 216 225 240 243 250 270 288 300 314 320 324 360 375 400 405 432 450 471 480 486 500 521 540 576 600 628 648 675 720 750 785 800 810 864 900 942 960 972 1000 1042 1080 1125 1200 1215 1256 1296 1350 1413 1440 1500 1563 1570 1600 1620 1728 1800 1884 1944 2000 2025 2084 2160 2250 2355 2400 2430 2512 2592 2605 2700 2826 2880 3000 3126 3140 3240 3375 3600 3768 3888 3925 4000 4050 4168 4239 4320 4500 4689 4710 4800 4860 5024 5184 5210 5400 5652 6000 6075 6252 6280 6480 6750 7065 7200 7536 7776 7815 7850 8000 8100 8336 8478 8640 9000 9378 9420 9720 10048 10125 10420 10800 11304 11775 12000 12150 12504 12560 12717 12960 13025 13500 14067 14130 14400 15072 15552 15630 15700 16200 16672 16956 18000 18756 18840 19440 19625 20250 20840 21195 21600 22608 23445 23550 24000 24300 24649 25008 25120 25434 25920 26050 27000 28134 28260 30144 30375 31260 31400 32400 33344 33912 35325 36000 37512 37680 38151 38880 39075 39250 40500 41680 42201 42390 43200 45216 46890 47100 48600 49298 50016 50240 50868 52100 54000 56268 56520 58875 60750 62520 62800 63585 64800 65125 67824 70335 70650 72000 73947 75024 75360 76302 77760 78150 78500 81000 81797 83360 84402 84780 90432 93780 94200 97200 98596 100032 101736 104200 105975 108000 112536 113040 117225 117750 121500 123245 125040 125600 126603 127170 129600 130250 135648 140670 141300 147894 150048 150720 152604 156300 157000 162000 163594 166720 168804 169560 176625 187560 188400 190755 194400 195375 197192 203472 208400 211005 211950 216000 221841 225072 226080 234450 235500 243000 245391 246490 250080 251200 253206 254340 260500 271296 271441 281340 282600 295788 300096 305208 312600 314000 317925 324000 327188 337608 339120 351675 353250 369735 375120 376800 381510 388800 390750 394384 406944 408985 416800 422010 423900 443682 450144 452160 468900 471000 486000 490782 492980 500160 506412 508680 521000 529875 542882 562680 565200 586125 591576 610416 616225 625200 628000 633015 635850 648000 654376 665523 675216 678240 703350 706500 736173 739470 750240 753600 763020 781500 788768 813888 814323 817970 833600 844020 847800 887364 900288 937800 942000 953775 972000 981564 985960 1012824 1017360 1042000 1055025 1059750 1085764 1109205 1125360 1130400 1172250 1183152 1220832 1226955 1232450 1250400 1256000 1266030 1271700 1308752 1331046 1350432 1356480 1357205 1406700 1413000 1472346 1478940 1500480 1526040 1563000 1577536 1589625 1628646 1635940 1688040 1695600 1758375 1774728 1848675 1875600 1884000 1907550 1944000 1963128 1971920 1996569 2025648 2034720 2044925 2084000 2110050 2119500 2171528 2208519 2218410 2250720 2260800 2344500 2366304 2441664 2442969 2453910 2464900 2500800 2532060 2543400 2617504 2662092 2700864 2714410 2813400 2826000 2944692 2957880 3052080 3081125 3126000 3165075 3179250 3257292 3271880 3327615 3376080 3391200 3516750 3549456 3680865 3697350 3751200 3768000 3815100 3926256 3943840 3993138 4051296 4069440 4071615 4089850 4168000 4220100 4239000 4343056 4417038 4436820 4501440 4689000 4732608 4768875 4885938 4907820 4929800 5064120 5086800 5235008 5275125 5324184 5428820 5546025 5626800 5652000 5889384 5915760 5989707 6104160 6134775 6162250 6252000 6330150 6358500 6514584 6543760 6625557 6655230 6752160 6782400 6786025 7033500 7098912 7328907 7361730 7394700 7502400 7630200 7852512 7887680 7986276 8102592 8143230 8179700 8440200 8478000 8686112 8834076 8873640 9243375 9378000 9537750 9771876 9815640 9859600 9982845 10128240 10173600 10224625 10550250 10648368 10857640 11042595 11092050 11253600 11304000 11778768 11831520 11979414 12208320 12214845 12269550 12324500 12504000 12660300 12717000 12842129 13029168 13087520 13251114 13310460 13504320 13572050 14067000 14197824 14657814 14723460 14789400 15260400 15705024 15825375 15972552 16286460 16359400 16638075 16880400 16956000 17372224 17668152 17747280 18404325 18486750 18756000 19075500 19543752 19631280 19719200 19876671 19965690 20256480 20347200 20358075 20449250 21100500 21296736 21715280 21986721 22085190 22184100 22507200 23557536 23663040 23958828 24429690 24539100 24649000 25320600 25434000 25684258 26058336 26175040 26502228 26620920 27144100 27730125 28134000 29315628 29446920 29578800 29948535 30520800 30673875 31650750 31945104 32572920 32718800 33127785 33276150 33760800 33912000 33930125 35336304 35494560 36644535 36808650 36973500 37512000 38151000 38526387 39087504 39262560 39438400 39753342 39931380 40512960 40716150 40898500 42201000 42593472 42616237 43430560 43973442 44170380 44368200 47115072 47917656 48859380 49078200 49298000 49914225 50641200 50868000 51368516 52116672 53004456 53241840 54288200 55212975 55460250 56268000 58631256 58893840 59157600 59897070 61041600 61074225 61347750 63301500 63890208 64210645 65145840 65437600 65960163 66255570 66552300 67521600 67860250 70672608 70989120 73289070 73617300 73947000 76302000 77052774 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293156280 294469200 295788000 299485350 305208000 305371125 308211096 318026736 319451040 321053225 325729200 327188000 329800815 331277850 332761500 337608000 340929896 346737483 351787536 353363040 354945600 366445350 368086500 383341248 383546133 385263870 390875040 392625600 397533420 399313800 407161500 410948128 424035648 426162370 434305600 439734420 441703800 443682000 462316644 469050048 479176560 488593800 490782000 496916775 499142250 506412000 511394844 513685160 527681304 530044560 532418400 542882000 549668025 552129750 577895805 586312560 588938400 591576000 598970700 610742250 616422192 636053472 638902080 639243555 642106450 651458400 654376000 659601630 662555700 665523000 681859792 693474966 703575072 706726080 732890700 736173000 748713375 767092266 770527740 781750080 795066840 798627600 814323000 821896256 828194625 852324740 879468840 883407600 887364000 916113375 924633288 958353120 963159675 977187600 981564000 993833550 998284500 1012824000 1022789688 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3467374830 3517875360 3533630400 3664453500 3698533152 3835461330 3852638700 3908750400 3975334200 3993138000 4091158752 4109481280 4160849796 4221450432 4261623700 4397344200 4417038000 4602553596 4623166440 4791765600 4815798375 4885938000 4969167750 5113948440 5136851600 5201062245 5276813040 5300445600 5324184000 5327029625 5496680250 5547799728 5753191995 5778958050 5863125600 5889384000 5989707000 6136738128 6164221920 6241274694 6360534720 6392435550 6421064500 6514584000 6596016300 6625557000 6690749209 6818597920 6903830394 6934749660 7035750720 7328907000 7397066304 7670922660 7705277400 7950668400 7986276000 8182317504 8245020375 8321699592 8523247400 8668437075 8794688400 8834076000 9205107192 9246332880 9583531200 9588653325 9631596750 9771876000 9938335500 10227896880 10273703200 10355745591 10402124490 10553626080 10600891200 10654059250 10993360500 11095599456 11506383990 11557916100 11726251200 11979414000 12273476256 12328443840 12482549388 12784871100 12842129000 13192032600 13251114000 13381498418 13637195840 13807660788 13869499320 14447395125 14657814000 15341845320 15410554800 15603186735 15901336800 15972552000 15981088875 16490040750 16643399184 17046494800 17259575985 17336874150 17589376800 17668152000 18410214384 18492665760 19177306650 19263193500 19543752000 19876671000 20072247627 20455793760 20547406400 20711491182 20804248980 21107252160 21308118500 21986721000 22191198912 23012767980 23115832200 23958828000 24546952512 24965098776 25569742200 25684258000 26005311225 26384065200 26502228000 26762996836 27615321576 27738998640 28765959975 28894790250 29315628000 30683690640 30821109600 31206373470 31802673600 31962177750 32980081500 33286798368 33453746045 34092989600 34519151970 34673748300 35178753600 36820428768 36985331520 38354613300 38526387000 39753342000 40144495254 40911587520 41422982364 41608497960 42616237000 43342185375 43973442000 46025535960 46231664400 47917656000 47943266625 49930197552 51139484400 51368516000 51778727955 52010622450 52768130400 53004456000 53525993672 55230643152 55477997280 57531919950 57789580500 58631256000 60216742881 61367381280 61642219200 62412746940 63924355500 65960163000 66573596736 66907492090 68185979200 69038303940 69347496600 73640857536 76709226600 77052774000 78015933675 79506684000 80288990508 82845964728 83216995920 85232474000 86297879925 86684370750 87946884000 92051071920 92463328800 95886533250 99860395104 100361238135 102278968800 102737032000 103557455910 104021244900 105536260800 107051987344 110461286304 110955994560 115063839900 115579161000 120433485762 122734762560 124825493880 127848711000 130026556125 131920326000 133814984180 138076607880 138694993200 143829799875 153418453200 154105548000 156031867350 159013368000 160577981016 165691929456 166433991840 167268730225 170464948000 172595759850 173368741500 175893768000 180650228643 184102143840 184926657600 191773066500 199720790208 200722476270 204557937600 207114911820 208042489800 214103974688 220922572608 230127679800 231158322000 240866971524 249650987760 255697422000 258893639775 260053112250 263840652000 267629968360 276153215760 277389986400 287659599750 301083714405 306836906400 308211096000 312063734700 321155962032 331383858912 332867983680 334537460450 340929896000 345191519700 346737483000 361300457286 368204287680 383546133000 390079668375 401444952540 414229823640 416084979600 428207949376 431489399625 460255359600 462316644000 481733943048 499301975520 501806190675 511394844000 517787279550 520106224500 527681304000 535259936720 541950685929 552306431520 554779972800 575319199500 602167428810 613673812800 624127469400 642311924064 662767717824 669074920900 690383039400 693474966000 722600914572 767092266000 780159336750 802889905080 828459647280 832169959200 836343651125 862978799250 903251143215 920510719200 924633288000 963467886096 998603951040 1003612381350 1022789688000 1035574559100 1040212449000 1070519873440 1083901371858 1104612863040 1150638399000 1204334857620 1248254938800 1284623848128 1294468198875 1338149841800 1380766078800 1386949932000 1445201829144 1505418572025 1534184532000 1560318673500 1605779810160 1625852057787 1656919294560 1664339918400 1672687302250 1725957598500 1806502286430 1841021438400 1926935772192 2007224762700 2071149118200 2080424898000 2141039746880 2167802743716 2301276798000 2408669715240 2496509877600 2509030953375 2588936397750 2676299683600 2709753429645 2761532157600 2773899864000 2890403658288 3010837144050 3068369064000 3120637347000 3211559620320 3251704115574 3313838589120 3345374604500 3451915197000 3613004572860 3853871544384 4014449525400 4142298236400 4160849796000 4335605487432 4516255716075 4602553596000 4817339430480 4993019755200 5018061906750 5177872795500 5352599367200 5419506859290 5523064315200 5780807316576 6021674288100 6241274694000 6423119240640 6503408231148 6690749209000 6903830394000 7226009145720 7527092860125 8028899050800 8129260288935 8284596472800 8321699592000 8671210974864 9032511432150 9205107192000 9634678860960 10036123813500 10355745591000 10705198734400 10839013718580 11561614633152 12043348576200 12482549388000 13006816462296 13381498418000 13548767148225 13807660788000 14452018291440 15054185720250 16057798101600 16258520577870 16569192945600 17342421949728 18065022864300 19269357721920 20072247627000 20711491182000 21678027437160 22581278580375 24086697152400 24965098776000 26013632924592 26762996836000 27097534296450 27615321576000 28904036582880 30108371440500 32115596203200 32517041155740 34684843899456 36130045728600 40144495254000 40646301444675 41422982364000 43356054874320 45162557160750 48173394304800 52027265849184 53525993672000 54195068592900 57808073165760 60216742881000 65034082311480 67743835741125 72260091457200 80288990508000 81292602889350 82845964728000 86712109748640 90325114321500 96346788609600 104054531698368 108390137185800 120433485762000 130068164622960 135487671482250 144520182914400 160577981016000 162585205778700 173424219497280 180650228643000 203231507223375 216780274371600 240866971524000 260136329245920 270975342964500 289040365828800 325170411557400 361300457286000 406463014446750 433560548743200 481733943048000 520272658491840 541950685929000 650340823114800 722600914572000 812926028893500 867121097486400 1083901371858000 1300681646229600 1445201829144000 1625852057787000 2167802743716000 2601363292459200 3251704115574000 4335605487432000 6503408231148000 13006816462296000
- Sum of all divisors σ(n): 48653464723679088
- Sum of proper divisors (its aliquot sum) s(n): 35646648261383088
- 13006816462296000 is an abundant number, because the sum of its proper divisors (35646648261383088) is greater than itself. Its abundance is 22639831799087088
Bases of 13006816462296000
- Binary: 1011100011010110100001011100101110010011010011110000002
- Hexadecimal: 0x2E35A172E4D3C0
- Base-36: 3K2J4ZRLO00
Squares and roots of 13006816462296000
- 13006816462296000 squared (130068164622960002) is 169177274483854232789591616000000
- 13006816462296000 cubed (130068164622960003) is 2200457758802964261503261266151701710336000000000
-
The
square root of 13006816462296000 is 114047430.7571021085 -
The
cube root of 13006816462296000 is 235174.5584738869
Scales and comparisons
How big is 13006816462296000?- 13,006,816,462,296,000 seconds is equal to 413,576,530 years, 40 weeks, 2 days, 12 hours.
-
To count from 1 to 13,006,816,462,296,000 would take you about one billion, two hundred forty million, seven hundred twenty-nine thousand, five hundred ninety-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 13006816462296000 cubic inches would be around 19597.9 feet tall.
Recreational maths with 13006816462296000
- 13006816462296000 backwards is 00069226461860031
- 13006816462296000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13006816462296000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13006816462296000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13006816462296000/
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The information we have on file for 13006816462296000 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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