13006812869643120
13,006,812,869,643,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 13006812869643120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
13006812869643120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13006812869643120:
24 × 3 × 5 × 113 × 592 × 2273
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 59 × 59 × 227 × 227 × 227)See below for interesting mathematical facts about the number 13006812869643120 from the Numbermatics database.
Names of 13006812869643120
- Cardinal: 13006812869643120 can be written as Thirteen quadrillion, six trillion, eight hundred twelve billion, eight hundred sixty-nine million, six hundred forty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.300681286964312 × 1016
Factors of 13006812869643120
Divisors of 13006812869643120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 121 132 165 176 177 220 227 236 240 242 264 295 330 354 363 440 454 472 484 528 590 605 649 660 681 708 726 880 885 908 944 968 1135 1180 1210 1298 1320 1331 1362 1416 1452 1770 1815 1816 1936 1947 2270 2360 2420 2497 2596 2640 2662 2724 2832 2904 3245 3405 3481 3540 3630 3632 3894 3993 4540 4720 4840 4994 5192 5324 5448 5808 6490 6655 6810 6962 7080 7139 7260 7491 7788 7986 9080 9680 9735 9988 10384 10443 10648 10896 12485 12980 13310 13393 13620 13924 14160 14278 14520 14982 15576 15972 17405 18160 19470 19965 19976 20886 21296 21417 24970 25960 26620 26786 27240 27467 27848 28556 29040 29964 31152 31944 34810 35695 37455 38291 38940 39930 39952 40179 41772 42834 49940 51529 51920 52215 53240 53572 54480 54934 55696 57112 59928 63888 66965 69620 71390 74910 76582 77880 78529 79860 80358 82401 83544 85668 99880 103058 104430 106480 107085 107144 109868 114224 114873 119856 133930 137335 139240 142780 147323 149820 153164 154587 155760 157058 159720 160716 164802 167088 171336 191455 199760 200895 206116 208860 214170 214288 219736 229746 235587 257645 267860 274670 278480 285560 294646 299640 302137 306328 309174 314116 319440 321432 329604 342672 382910 392645 401790 412005 412232 417720 421201 428340 439472 441969 459492 471174 515290 535720 549340 566819 571120 574365 589292 599280 604274 612656 618348 628232 642864 659208 736615 765820 772935 785290 790187 803580 824010 824464 835440 842402 856680 883938 906411 918984 942348 1030580 1071440 1098680 1133638 1148730 1177935 1178584 1208548 1236696 1256464 1263603 1318416 1473230 1510685 1531640 1545870 1570580 1580374 1607160 1620553 1648020 1684804 1700457 1713360 1767876 1812822 1837968 1884696 2061160 2106005 2197360 2209845 2267276 2297460 2355870 2357168 2370561 2417096 2473392 2527206 2834095 2946460 3021370 3040211 3063280 3091740 3141160 3160748 3214320 3241106 3296040 3369608 3400914 3535752 3625644 3769392 3950935 4122320 4212010 4419690 4532055 4534552 4594920 4633211 4711740 4741122 4834192 4861659 5054412 5668190 5892920 6042740 6080422 6183480 6235009 6282320 6318015 6321496 6482212 6592080 6739216 6801828 7071504 7251288 7901870 8102765 8424020 8502285 8692057 8839380 9064110 9069104 9120633 9189840 9266422 9423480 9482244 9723318 10108824 11336380 11697083 11785840 11852805 12085480 12160844 12366960 12470018 12636030 12642992 12964424 13603656 13899633 14502576 15201055 15803740 16205530 16848040 17004570 17384114 17678760 17826083 18128220 18241266 18532844 18705027 18846960 18964488 19446636 20217648 22672760 23166055 23394166 23705610 24170960 24308295 24321688 24940036 25272060 25928848 26076171 27207312 27799266 30402110 31175045 31607480 32411060 33442321 33696080 34009140 34768228 35091249 35357520 35652166 36256440 36482532 37065688 37410054 37928976 38893272 43460285 45345520 45603165 46332110 46788332 47411220 48616590 48643376 49880072 50544120 52152342 53478249 55598532 58485415 60804220 62350090 63214960 64822120 66884642 68018280 68585099 69498165 69536456 70182498 71304332 72512880 72965064 74131376 74820108 77786544 86920570 89130415 91206330 92664220 93525135 93576664 94822440 95612627 97233180 99760144 100326963 101088240 104304684 106956498 111197064 116970830 121608440 124700180 128667913 129644240 130380855 133769284 136036560 137170198 138996330 139072912 140364996 142608664 145930128 149640216 167211605 173841140 175456245 178260830 179372449 182412660 185328440 187050270 187153328 189644880 191225254 194466360 200653926 205755297 208609368 213912996 222394128 233941660 243216880 249400360 257335826 260761710 267391245 267538568 274340396 277992660 280729992 285217328 286837881 299280432 334423210 342925495 347682280 350912490 356521660 358744898 364825320 367865531 370656880 374100540 382450508 386003739 388932720 401307852 411510594 417218736 427825992 467883320 478063135 498800720 501634815 514671652 521523420 534782490 535077136 538117347 548680792 555985320 561459984 573675762 643339565 668846420 685850990 690127897 695364560 701824980 713043320 717489796 729650640 735731062 748201080 764901016 772007478 802615704 823021188 855651984 896862245 935766640 956126270 1003269630 1028776485 1029343304 1043046840 1051738897 1069564980 1076234694 1097361584 1103596593 1111970640 1147351524 1286679130 1337692840 1371701980 1380255794 1403649960 1415347043 1426086640 1434189405 1434979592 1471462124 1496402160 1529802032 1544014956 1605231408 1646042376 1793724490 1839327655 1912252540 1930018695 1973096939 2006539260 2057552970 2058686608 2070383691 2086093680 2103477794 2139129960 2152469388 2207193186 2294703048 2573358260 2675385680 2690586735 2743403960 2760511588 2807299920 2830694086 2868378810 2869959184 2942924248 3088029912 3155216691 3292084752 3450639485 3587448980 3678655310 3824505080 3860037390 3946193878 4013078520 4046520841 4115105940 4140767382 4206955588 4246041129 4278259920 4304938776 4414386372 4589406096 5146716520 5258694485 5381173470 5486807920 5517982965 5521023176 5661388172 5736757620 5885848496 5919290817 6176059824 6310433382 6901278970 7076735215 7174897960 7357310620 7591406867 7649010160 7720074780 7892387756 8026157040 8093041682 8230211880 8281534764 8413911176 8492082258 8609877552 8828772744 9865484695 10293433040 10351918455 10517388970 10762346940 11035965930 11042046352 11322776344 11473515240 11838581634 12139562523 12620866764 13802557940 14153470430 14349795920 14714621240 15182813734 15440149560 15568817473 15776083455 15784775512 16186083364 16460423760 16563069528 16827822352 16984164516 17657545488 19730969390 20232604205 20703836910 21034777940 21230205645 21524693880 21704066329 22071931860 22645552688 22774220601 22947030480 23677163268 24279125046 25241733528 27605115880 28306940860 29429242480 29596454085 30365627468 30880299120 31137634946 31552166910 31569551024 32372166728 33126139056 33968329032 37957034335 39461938780 40465208410 40717545923 41407673820 42069555880 42460411290 43049387760 43408132658 44143863720 45548441202 46706452419 47354326536 48558250092 50483467056 55210231760 56613881720 59192908170 60697812615 60731254936 62275269892 63104333820 64744333456 65112198987 67936658064 75914068670 77844087365 78923877560 80930416820 81435091846 82815347640 83505475537 84139111760 84920822580 86816265316 88287727440 91096882404 93412904838 94708653072 97116500184 108520331645 113227763440 113871103005 118385816340 121395625230 121462509872 122152637769 124550539784 126208667640 130224397974 151828137340 155688174730 157847755120 161860833640 162870183692 165630695280 167010951074 169841645160 173632530632 182193764808 186825809676 194233000368 203587729615 217040663290 227742206010 233532262095 236771632680 238744729619 242791250460 244305275538 249101079568 250516426611 252417335280 260448795948 303656274680 311376349460 323721667280 325560994935 325740367384 334021902148 339683290320 347265061264 364387529616 373651619352 407175459230 417527377685 434081326580 447893005153 455484412020 467064524190 473543265360 477489459238 485582500920 488610551076 501032853222 520897591896 607312549360 610763188845 622752698920 651121989870 651480734768 668043804296 716234188857 747303238704 814350918460 835054755370 868162653160 895786010306 910968824040 918560230907 934129048380 954978918476 971165001840 977221102152 1002065706444 1041795183792 1193723648095 1221526377690 1245505397840 1252582133055 1302243979740 1336087608592 1343679015459 1432468377714 1628701836920 1670109510740 1736325306320 1791572020612 1821937648080 1837120461814 1868258096760 1909957836952 1954442204304 2004131412888 2239465025765 2387447296190 2443052755380 2505164266110 2604487959480 2687358030918 2755680692721 2864936755428 3257403673840 3340219021480 3581170944285 3583144041224 3674240923628 3736516193520 3819915673904 4008262825776 4478930051530 4592801154535 4774894592380 4886105510760 4926823056683 5010328532220 5208975918960 5374716061836 5511361385442 5729873510856 6680438042960 6718395077295 7162341888570 7166288082448 7348481847256 8957860103060 9185602309070 9549789184760 9772211021520 9853646113366 10020657064440 10749432123672 11022722770884 11459747021712 13436790154590 13778403463605 14324683777140 14696963694512 14780469170049 17915720206120 18371204618140 19099578369520 19707292226732 20041314128880 21498864247344 22045445541768 24634115283415 26873580309180 27556806927210 28649367554280 29560938340098 35831440412240 36742409236280 39414584453464 44090891083536 49268230566830 53747160618360 54195053623513 55113613854420 57298735108560 59121876680196 73484818472560 73902345850245 78829168906928 98536461133660 107494321236720 108390107247026 110227227708840 118243753360392 147804691700490 162585160870539 197072922267320 216780214494052 220454455417680 236487506720784 270975268117565 295609383400980 325170321741078 394145844534640 433560428988104 541950536235130 591218766801960 650340643482156 812925804352695 867120857976208 1083901072470260 1182437533603920 1300681286964312 1625851608705390 2167802144940520 2601362573928624 3251703217410780 4335604289881040 6503406434821560 13006812869643120
- Sum of all divisors σ(n): 45314263787927040
- Sum of proper divisors (its aliquot sum) s(n): 32307450918283920
- 13006812869643120 is an abundant number, because the sum of its proper divisors (32307450918283920) is greater than itself. Its abundance is 19300638048640800
Bases of 13006812869643120
- Binary: 1011100011010110100000100111001100000101001011011100002
- Hexadecimal: 0x2E35A09CC14B70
- Base-36: 3K2J3CCMNAO
Squares and roots of 13006812869643120
- 13006812869643120 squared (130068128696431202) is 169177181025913894146036163334400
- 13006812869643120 cubed (130068128696431203) is 2200455935417800689525952678200458647757219328000
-
The
square root of 13006812869643120 is 114047415.0064047705 -
The
cube root of 13006812869643120 is 235174.5368211217
Scales and comparisons
How big is 13006812869643120?- 13,006,812,869,643,120 seconds is equal to 413,576,416 years, 28 weeks, 20 hours, 52 minutes.
-
To count from 1 to 13,006,812,869,643,120 would take you about one billion, two hundred forty million, seven hundred twenty-nine thousand, two hundred forty-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 13006812869643120 cubic inches would be around 19597.9 feet tall.
Recreational maths with 13006812869643120
- 13006812869643120 backwards is 02134696821860031
- 13006812869643120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13006812869643120's digits is 60
- More coming soon!
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The information we have on file for 13006812869643120 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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