13130124187084800
13,130,124,187,084,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13130124187084800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13130124187084800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13130124187084800:
211 × 3 × 52 × 7 × 592 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 59 × 59 × 1873 × 1873)See below for interesting mathematical facts about the number 13130124187084800 from the Numbermatics database.
Names of 13130124187084800
- Cardinal: 13130124187084800 can be written as Thirteen quadrillion, one hundred thirty trillion, one hundred twenty-four billion, one hundred eighty-seven million, eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31301241870848 × 1016
Factors of 13130124187084800
Divisors of 13130124187084800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 59 60 64 70 75 80 84 96 100 105 112 118 120 128 140 150 160 168 175 177 192 200 210 224 236 240 256 280 295 300 320 336 350 354 384 400 413 420 448 472 480 512 525 560 590 600 640 672 700 708 768 800 826 840 885 896 944 960 1024 1050 1120 1180 1200 1239 1280 1344 1400 1416 1475 1536 1600 1652 1680 1770 1792 1873 1888 1920 2048 2065 2100 2240 2360 2400 2478 2560 2688 2800 2832 2950 3072 3200 3304 3360 3481 3540 3584 3746 3776 3840 4130 4200 4425 4480 4720 4800 4956 5120 5376 5600 5619 5664 5900 6144 6195 6400 6608 6720 6962 7080 7168 7492 7552 7680 8260 8400 8850 8960 9365 9440 9600 9912 10240 10325 10443 10752 11200 11238 11328 11800 12390 12800 13111 13216 13440 13924 14160 14336 14984 15104 15360 16520 16800 17405 17700 17920 18730 18880 19200 19824 20650 20886 21504 22400 22476 22656 23600 24367 24780 25600 26222 26432 26880 27848 28095 28320 29968 30208 30720 30975 33040 33600 34810 35400 35840 37460 37760 38400 39333 39648 41300 41772 43008 44800 44952 45312 46825 47200 48734 49560 51200 52215 52444 52864 53760 55696 56190 56640 59936 60416 61950 65555 66080 67200 69620 70800 71680 73101 74920 75520 76800 78666 79296 82600 83544 87025 89600 89904 90624 93650 94400 97468 99120 104430 104888 105728 107520 110507 111392 112380 113280 119872 120832 121835 123900 131110 132160 134400 139240 140475 141600 146202 149840 151040 153600 157332 158592 165200 167088 174050 179200 179808 181248 187300 188800 194936 196665 198240 208860 209776 211456 215040 221014 222784 224760 226560 239744 243670 247800 261075 262220 264320 268800 278480 280950 283200 292404 299680 302080 314664 317184 327775 330400 331521 334176 348100 358400 359616 362496 365505 374600 377600 389872 393330 396480 417720 419552 422912 442028 445568 449520 453120 479488 487340 495600 522150 524440 528640 537600 552535 556960 561900 566400 584808 599360 604160 609175 629328 634368 655550 660800 663042 668352 696200 719232 731010 749200 755200 773549 779744 786660 792960 835440 839104 845824 884056 891136 899040 906240 958976 974680 983325 991200 1044300 1048880 1057280 1075200 1105070 1113920 1123800 1132800 1169616 1198720 1218350 1258656 1268736 1311100 1321600 1326084 1336704 1392400 1438464 1462020 1498400 1510400 1547098 1559488 1573320 1585920 1657605 1670880 1678208 1768112 1782272 1798080 1812480 1827525 1917952 1949360 1966650 1982400 2088600 2097760 2114560 2210140 2227840 2247600 2265600 2320647 2339232 2397440 2436700 2517312 2537472 2622200 2643200 2652168 2673408 2762675 2784800 2876928 2924040 2996800 3020800 3094196 3118976 3146640 3171840 3315210 3341760 3356416 3508129 3536224 3564544 3596160 3655050 3835904 3867745 3898720 3933300 3964800 4177200 4195520 4229120 4420280 4455680 4495200 4531200 4641294 4678464 4794880 4873400 5034624 5244400 5286400 5304336 5346816 5525350 5569600 5753856 5848080 5993600 6188392 6237952 6293280 6343680 6519913 6630420 6683520 6712832 7016258 7072448 7129088 7192320 7310100 7735490 7797440 7866600 7929600 8288025 8354400 8391040 8840560 8911360 8990400 9062400 9282588 9356928 9589760 9746800 10069248 10488800 10524387 10572800 10608672 10693632 11050700 11139200 11507712 11603235 11696160 11987200 12376784 12475904 12586560 12687360 13039826 13260840 13367040 13425664 14032516 14144896 14384640 14620200 15470980 15594880 15733200 15859200 16576050 16708800 16782080 17540645 17681120 17822720 17980800 18565176 18713856 19179520 19338725 19493600 19559739 20138496 20977600 21048774 21145600 21217344 21387264 22101400 22278400 23206470 23392320 23974400 24556903 24753568 24951808 25173120 26079652 26521680 26734080 26851328 28065032 28289792 28769280 29240400 30941960 31189760 31466400 31718400 32599565 33152100 33417600 33564160 35081290 35362240 35645440 35961600 37130352 37427712 38677450 38987200 39119478 40276992 41955200 42097548 42434688 44202800 44556800 45639391 46412940 46784640 47948800 49113806 49507136 49903616 50346240 52159304 52621935 53043360 53468160 56130064 56579584 57538560 58016175 58480800 61883920 62379520 62932800 63436800 65199130 66304200 66835200 67128320 70162580 70724480 71923200 73670709 74260704 74855424 77354900 77974400 78238956 80553984 83910400 84195096 84869376 87703225 88405600 89113600 91278782 92825880 93569280 95897600 97798695 98227612 99014272 100692480 104318608 105243870 106086720 106936320 112260128 113159168 116032350 116961600 122784515 123767840 124759040 125865600 130398260 132608400 133670400 134256640 136918173 140325160 141448960 143846400 147341418 148521408 149710848 154709800 155948800 156477912 162997825 167820800 168390192 169738752 175406450 176811200 178227200 182557564 185651760 187138560 195597390 196455224 198028544 201384960 206979611 208637216 210487740 212173440 224520256 226318336 228196955 232064700 233923200 245569030 247535680 249518080 251731200 260796520 263109675 265216800 267340800 273836346 280650320 282897920 287692800 294682836 297042816 309419600 311897600 312955824 325995650 335641600 336780384 339477504 350812900 353622400 365115128 368353545 371303520 374277120 391194780 392910448 396057088 402769920 413959222 417274432 420975480 424346880 449040512 456393910 464129400 467846400 488993475 491138060 495071360 503462400 521593040 526219350 530433600 534681600 547672692 561300640 565795840 589365672 594085632 613922575 618839200 620938833 623795200 625911648 651991300 671283200 673560768 678955008 684590865 701625800 707244800 730230256 736707090 742607040 748554240 782389560 785820896 792114176 827918444 834548864 841950960 848693760 898081024 912787820 928258800 935692800 977986950 982276120 990142720 1006924800 1034898055 1043186080 1052438700 1060867200 1095345384 1122601280 1131591680 1140984775 1178731344 1188171264 1227845150 1237678400 1241877666 1247590400 1251823296 1303982600 1347121536 1369181730 1403251600 1414489600 1448857277 1460460512 1473414180 1485214080 1564779120 1571641792 1584228352 1655836888 1669097728 1683901920 1697387520 1796162048 1825575640 1841767725 1856517600 1871385600 1955973900 1964552240 1980285440 2013849600 2069796110 2086372160 2104877400 2121734400 2190690768 2245202560 2281969550 2357462688 2376342528 2455690300 2475356800 2483755332 2503646592 2607965200 2694243072 2738363460 2806503200 2828979200 2897714554 2920921024 2946828360 2970428160 3104694165 3129558240 3143283584 3311673776 3338195456 3367803840 3394775040 3422954325 3592324096 3651151280 3683535450 3713035200 3742771200 3911947800 3929104480 3960570880 4139592220 4172744320 4209754800 4243468800 4346571831 4381381536 4490405120 4563939100 4714925376 4752685056 4911380600 4950713600 4967510664 5007293184 5174490275 5215930400 5388486144 5476726920 5613006400 5657958400 5795429108 5841842048 5893656720 5940856320 6209388330 6259116480 6286567168 6623347552 6676390912 6735607680 6845908650 7184648192 7244286385 7302302560 7367070900 7426070400 7823895600 7858208960 7921141760 8279184440 8345488640 8419509600 8486937600 8693143662 8762763072 8980810240 9127878200 9429850752 9822761200 9901427200 9935021328 10014586368 10348980550 10431860800 10776972288 10953453840 11226012800 11590858216 11683684096 11787313440 11881712640 12211797049 12418776660 12518232960 12573134336 13246695104 13352781824 13471215360 13691817300 14488572770 14604605120 14734141800 14852140800 15523470825 15647791200 15716417920 16558368880 16690977280 16839019200 16973875200 17386287324 17525526144 17961620480 18255756400 18859701504 19645522400 19802854400 19870042656 20029172736 20697961100 20863721600 21553944576 21732859155 21906907680 22452025600 23181716432 23367368192 23574626880 23763425280 24423594098 24837553320 25036465920 25146268672 26493390208 26942430720 27383634600 28977145540 29209210240 29468283600 29704281600 31046941650 31295582400 31432835840 33116737760 33381954560 33678038400 34772574648 35051052288 35923240960 36221431925 36511512800 36635391147 37719403008 39291044800 39605708800 39740085312 40058345472 41395922200 41727443200 43465718310 43813815360 44904051200 46363432864 46734736384 47149253760 48847188196 49675106640 50072931840 50292537344 52986780416 53884861440 54767269200 57954291080 58418420480 58936567200 59408563200 61058985245 62093883300 62591164800 62865671680 66233475520 66763909120 67356076800 69545149296 70102104576 72442863850 73023025600 73270782294 75438806016 78582089600 79480170624 82791844400 83454886400 85482579343 86931436620 87627630720 89808102400 92726865728 93469472768 94298507520 97694376392 99350213280 100145863680 105973560832 107769722880 108664295775 109534538400 115908582160 116836840960 117873134400 118817126400 122117970490 124187766600 125182329600 125731343360 132466951040 134712153600 139090298592 140204209152 144885727700 146046051200 146541564588 150877612032 157164179200 158960341248 165583688800 166909772800 170965158686 173862873240 175255261440 179616204800 183176955735 185453731456 188597015040 195388752784 198700426560 200291727360 211947121664 217328591550 219069076800 231817164320 233673681920 235746268800 244235940980 248375533200 250364659200 251462686720 256447738029 264933902080 269424307200 278180597184 280408418304 289771455400 292092102400 293083129176 305294926225 314328358400 317920682496 331167377600 333819545600 341930317372 347725746480 350510522880 366353911470 370907462912 377194030080 390777505568 397400853120 423894243328 427412896715 434657183100 438138153600 463634328640 467347363840 471492537600 488471881960 496751066400 500729318400 512895476058 529867804160 538848614400 556361194368 579542910800 584184204800 586166258352 610589852450 628656716800 635841364992 662334755200 683860634744 695451492960 701021045760 732707822940 741814925824 754388060160 781555011136 794801706240 854825793430 869314366200 876276307200 915884778675 927268657280 942985075200 976943763920 993502132800 1001458636800 1025790952116 1059735608320 1112722388736 1159085821600 1168368409600 1172332516704 1221179704900 1257313433600 1271682729984 1282238690145 1324669510400 1367721269488 1390902985920 1402042091520 1465415645880 1483629851648 1563110022272 1589603412480 1709651586860 1738628732400 1752552614400 1831769557350 1854537314560 1885970150400 1953887527840 1987004265600 2051581904232 2119471216640 2137064483575 2225444777472 2318171643200 2336736819200 2344665033408 2442359409800 2564477380290 2649339020800 2735442538976 2781805971840 2930831291760 2967259703296 3126220044544 3179206824960 3419303173720 3477257464800 3505105228800 3663539114700 3709074629120 3771940300800 3907775055680 3974008531200 4103163808464 4274128967150 4450889554944 4636343286400 4689330066816 4884718819600 5128954760580 5298678041600 5470885077952 5563611943680 5861662583520 6252440089088 6358413649920 6411193450725 6838606347440 6954514929600 7010210457600 7327078229400 7418149258240 7815550111360 7948017062400 8206327616928 8548257934300 8901779109888 9272686572800 9378660133632 9769437639200 10257909521160 10597356083200 10941770155904 11127223887360 11723325167040 12504880178176 12822386901450 13677212694880 13909029859200 14654156458800 14836298516480 15631100222720 15896034124800 16412655233856 17096515868600 18545373145600 18757320267264 19538875278400 20515819042320 21883540311808 22254447774720 23446650334080 25009760356352 25644773802900 27354425389760 27818059718400 29308312917600 31262200445440 31792068249600 32825310467712 34193031737200 37090746291200 37514640534528 39077750556800 41031638084640 43767080623616 44508895549440 46893300668160 51289547605800 54708850779520 55636119436800 58616625835200 62524400890880 65650620935424 68386063474400 74181492582400 75029281069056 78155501113600 82063276169280 87534161247232 93786601336320 102579095211600 109417701559040 111272238873600 117233251670400 125048801781760 131301241870848 136772126948800 156311002227200 164126552338560 175068322494464 187573202672640 205158190423200 218835403118080 222544477747200 234466503340800 262602483741696 273544253897600 312622004454400 328253104677120 375146405345280 410316380846400 437670806236160 468933006681600 525204967483392 547088507795200 625244008908800 656506209354240 820632761692800 875341612472320 937866013363200 1094177015590400 1313012418708480 1641265523385600 1875732026726400 2188354031180800 2626024837416960 3282531046771200 4376708062361600 6565062093542400 13130124187084800
- Sum of all divisors σ(n): 50489258511575520
- Sum of proper divisors (its aliquot sum) s(n): 37359134324490720
- 13130124187084800 is an abundant number, because the sum of its proper divisors (37359134324490720) is greater than itself. Its abundance is 24229010137405920
Bases of 13130124187084800
- Binary: 1011101010010111000111010001000000011100101000000000002
- Hexadecimal: 0x2EA5C744072800
- Base-36: 3LA8NS38A2O
Squares and roots of 13130124187084800
- 13130124187084800 squared (131301241870848002) is 172400161168269280031122391040000
- 13130124187084800 cubed (131301241870848003) is 2263635526012810184332785454298215263240192000000
-
The
square root of 13130124187084800 is 114586753.9774331857 -
The
cube root of 13130124187084800 is 235915.3926047065
Scales and comparisons
How big is 13130124187084800?- 13,130,124,187,084,800 seconds is equal to 417,497,335 years, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 13,130,124,187,084,800 would take you about one billion, two hundred fifty-two million, four hundred ninety-two thousand and five 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 13130124187084800 cubic inches would be around 19659.6 feet tall.
Recreational maths with 13130124187084800
- 13130124187084800 backwards is 00848078142103131
- The number of decimal digits it has is: 17
- The sum of 13130124187084800's digits is 51
- 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 13130124187084800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 13130124187084800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13130124187084800/
Chicago style:
Numbermatics. 2024. "Number 13130124187084800 - Facts about the integer". https://numbermatics.com/n/13130124187084800/
The information we have on file for 13130124187084800 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 13130124187084800, math, Factors of 13130124187084800, curriculum, school, college, exams, university, Prime factorization of 13130124187084800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty trillion, one hundred twenty-four billion, one hundred eighty-seven million, eighty-four thousand, eight hundred.