138768703091200
138,768,703,091,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138768703091200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138768703091200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138768703091200:
29 × 52 × 75 × 13 × 292 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 29 × 29 × 59)See below for interesting mathematical facts about the number 138768703091200 from the Numbermatics database.
Names of 138768703091200
- Cardinal: 138768703091200 can be written as One hundred thirty-eight trillion, seven hundred sixty-eight billion, seven hundred three million, ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.387687030912 × 1014
Factors of 138768703091200
Divisors of 138768703091200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 59 64 65 70 80 91 98 100 104 112 116 118 128 130 140 145 160 175 182 196 200 203 208 224 232 236 245 256 260 280 290 295 320 325 343 350 364 377 392 400 406 413 416 448 455 464 472 490 512 520 560 580 590 637 640 650 686 700 725 728 754 767 784 800 812 826 832 841 896 910 928 944 980 1015 1040 1120 1160 1180 1225 1274 1280 1300 1372 1400 1421 1450 1456 1475 1508 1534 1568 1600 1624 1652 1664 1682 1711 1715 1792 1820 1856 1885 1888 1960 2030 2065 2080 2240 2275 2320 2360 2401 2450 2548 2560 2600 2639 2744 2800 2842 2891 2900 2912 2950 3016 3068 3136 3185 3200 3248 3304 3328 3364 3422 3430 3584 3640 3712 3770 3776 3835 3920 4060 4130 4160 4205 4459 4480 4550 4640 4720 4802 4900 5075 5096 5200 5278 5369 5488 5600 5684 5782 5800 5824 5887 5900 6032 6136 6272 6370 6400 6496 6608 6656 6728 6844 6860 7105 7280 7424 7540 7552 7670 7840 8120 8260 8320 8410 8555 8575 8918 8960 9100 9280 9425 9440 9604 9800 9947 10150 10192 10325 10400 10556 10738 10933 10976 11200 11368 11564 11600 11648 11774 11800 11977 12005 12064 12272 12544 12740 12800 12992 13195 13216 13456 13688 13720 14210 14455 14560 14848 15080 15104 15340 15680 15925 16240 16520 16640 16807 16820 17110 17150 17836 17920 18200 18473 18560 18850 18880 19175 19208 19600 19894 20237 20300 20384 20650 20800 21025 21112 21476 21866 21952 22243 22295 22400 22736 23128 23200 23296 23548 23600 23954 24010 24128 24544 25088 25480 25984 26390 26432 26845 26912 27376 27440 28420 28910 29120 29435 30160 30208 30680 31213 31360 31850 32480 33040 33280 33614 33640 34220 34300 35525 35672 36400 36946 37120 37583 37700 37760 38350 38416 39200 39788 40474 40600 40768 41209 41300 41600 42050 42224 42775 42952 43732 43904 44486 44590 44800 45472 46256 46400 46592 47096 47200 47908 48020 48256 49088 49619 49735 50960 51968 52780 52864 53690 53824 54665 54752 54880 56840 57820 58240 58870 59885 60025 60320 61360 62426 62720 63700 64960 65975 66080 67228 67280 68440 68600 69629 71050 71344 72275 72800 73892 74240 75166 75400 75520 76531 76700 76832 78400 79576 80948 81200 81536 82418 82600 83200 83839 84035 84100 84448 85550 85904 87464 87808 88972 89180 89600 90944 92365 92512 92800 94192 94400 95816 96040 96512 98176 99238 99470 101185 101920 103936 105560 105728 107380 107648 109330 109504 109760 111215 111475 113680 115640 116480 117740 119770 120050 120640 122720 124852 125440 127400 129311 129920 131950 132160 134225 134456 134560 136880 137200 139258 141659 142100 142688 144550 145600 147175 147784 150332 150800 151040 153062 153400 153664 155701 156065 156800 159152 161896 162400 163072 164836 165200 166400 167678 168070 168200 168896 171100 171808 174928 175616 177944 178360 181888 184730 185024 185600 187915 188384 188800 191632 192080 193024 196352 198476 198940 202370 203840 206045 211120 211456 214760 215296 218491 218660 219008 219520 222430 222950 227360 231280 232960 235480 239540 240100 241280 245440 248095 248675 249704 254800 258622 259840 263081 263900 264320 268450 268912 269120 273325 273760 274400 278516 283318 284200 285376 288463 289100 291200 294350 295568 299425 300664 301600 306124 306800 307328 311402 312130 313600 318304 323792 324800 326144 329672 330400 335356 336140 336400 337792 342200 343616 347333 348145 349856 355888 356720 363776 369460 370048 371200 375830 376768 377600 382655 383264 384160 392704 396952 397880 404740 407680 412090 419195 420175 422240 429520 430592 436982 437320 438016 439040 444860 445900 454720 461825 462560 470960 479080 480200 482560 487403 490880 496190 497350 499408 505925 509600 517244 519680 526162 527800 528640 535717 536900 537824 538240 546650 547520 548800 556075 557032 566636 568400 570752 576926 578200 582400 586873 588700 591136 598850 601328 603200 612248 613600 614656 622804 624260 627200 636608 645047 646555 647584 649600 659344 660800 670712 672280 672800 675584 684400 687232 694666 696290 699712 708295 711776 713440 727552 738920 740096 751660 753536 755200 765310 766528 768320 778505 780325 793904 795760 809480 815360 824180 838390 840350 844480 859040 873964 874640 876032 878080 889720 891800 905177 909440 923650 925120 939575 941920 958160 960400 965120 974806 981760 991613 992380 994700 998816 1011850 1019200 1030225 1034488 1052324 1055600 1057280 1071434 1073800 1075648 1076480 1089907 1092455 1093300 1095040 1097600 1112150 1114064 1133272 1136800 1141504 1153852 1156400 1164800 1173746 1177400 1182272 1197700 1202656 1206400 1224496 1227200 1229312 1240475 1245608 1248520 1273216 1290094 1293110 1295168 1299200 1315405 1318688 1321600 1341424 1344560 1345600 1351168 1368800 1374464 1389332 1392580 1399424 1416590 1423552 1426880 1442315 1477840 1480192 1503320 1507072 1530620 1533056 1536640 1557010 1560650 1587808 1591520 1618960 1630720 1648360 1676780 1680700 1688960 1718080 1736665 1740725 1747928 1749280 1779440 1783600 1810354 1818880 1841567 1847300 1850240 1879150 1883840 1913275 1916320 1920800 1949612 1963520 1983226 1984760 1989400 1997632 2019241 2023700 2038400 2060450 2068976 2095975 2104648 2111200 2142868 2147600 2151296 2152960 2179814 2184910 2186600 2190080 2195200 2224300 2228128 2266544 2273600 2283008 2307704 2312800 2347492 2354800 2364544 2395400 2405312 2412800 2431331 2437015 2448992 2454400 2480950 2491216 2497040 2546432 2580188 2586220 2590336 2598400 2630810 2637376 2643200 2678585 2682848 2689120 2691200 2737600 2748928 2778664 2785160 2798848 2833180 2847104 2853760 2884630 2934365 2955680 3006640 3014144 3061240 3066112 3073280 3114020 3121300 3175616 3183040 3225235 3232775 3237920 3296720 3353560 3361400 3377920 3436160 3473330 3481450 3495856 3498560 3541475 3558880 3567200 3620708 3637760 3683134 3694600 3700480 3750019 3758300 3767680 3826550 3832640 3841600 3892525 3899224 3966452 3969520 3978800 3995264 4038482 4047400 4076800 4108111 4120900 4137952 4191950 4209296 4222400 4285736 4295200 4302592 4359628 4369820 4373200 4380160 4390400 4448600 4456256 4515329 4525885 4533088 4547200 4615408 4625600 4694984 4709600 4729088 4790800 4810624 4825600 4862662 4874030 4897984 4908800 4958065 4961900 4982432 4994080 5092864 5160376 5172440 5180672 5261620 5274752 5286400 5357170 5365696 5378240 5382400 5449535 5462275 5475200 5557328 5570320 5597696 5666360 5694208 5707520 5769260 5868730 5911360 6013280 6122480 6132224 6146560 6228040 6242600 6336239 6351232 6366080 6450470 6465550 6475840 6577025 6593440 6707120 6722800 6755840 6872320 6946660 6962900 6991712 6997120 7082950 7117760 7134400 7211575 7241416 7366268 7389200 7400960 7500038 7516600 7535360 7629349 7653100 7665280 7683200 7785050 7798448 7932904 7939040 7957600 7990528 8076964 8094800 8153600 8216222 8241800 8275904 8383900 8418592 8444800 8571472 8590400 8605184 8683325 8719256 8739640 8746400 8897200 8912512 9030658 9051770 9066176 9094400 9207835 9230816 9251200 9389968 9419200 9458176 9581600 9621248 9725324 9748060 9795968 9817600 9916130 9923800 9964864 9988160 10096205 10320752 10344880 10361344 10523240 10549504 10714340 10731392 10756480 10764800 10899070 10924550 10950400 11114656 11140640 11332720 11388416 11415040 11538520 11737460 11822720 12026560 12156655 12185075 12244960 12456080 12485200 12672478 12702464 12732160 12890969 12900940 12931100 12951680 13154050 13186880 13392925 13414240 13445600 13744640 13893320 13925800 13983424 13994240 14134687 14165900 14235520 14268800 14423150 14482832 14671825 14732536 14778400 15000076 15033200 15070720 15258698 15306200 15330560 15366400 15570100 15596896 15865808 15878080 15915200 15981056 16126175 16153928 16189600 16432444 16483600 16551808 16767800 16837184 16889600 17019317 17142944 17180800 17366650 17438512 17479280 17492800 17794400 17825024 18061316 18103540 18132352 18188800 18415670 18461632 18502400 18750095 18779936 18838400 19163200 19242496 19450648 19496120 19591936 19832260 19847600 19929728 19976320 20192410 20540555 20641504 20689760 21046480 21099008 21428680 21462784 21512960 21798140 21849100 21900800 22229312 22281280 22576645 22629425 22665440 23077040 23474920 23645440 24053120 24313310 24370150 24489920 24790325 24912160 24970400 25344956 25404928 25464320 25781938 25801880 25862200 25903360 26250133 26308100 26373760 26785850 26828480 26891200 27247675 27786640 27851600 27966848 27988480 28269374 28331800 28471040 28537600 28756777 28846300 28965664 29343650 29465072 29556800 30000152 30066400 30517396 30612400 30661120 30732800 31140200 31193792 31607303 31681195 31731616 31756160 31830400 32252350 32307856 32379200 32864888 32967200 33103616 33535600 33674368 33779200 34038634 34285888 34361600 34733300 34877024 34958560 34985600 35588800 35650048 36122632 36207080 36264704 36831340 36923264 37004800 37500190 37559872 37676800 38146745 38326400 38901296 38992240 39183872 39664520 39695200 39859456 39952640 40384820 41081110 41283008 41379520 42092960 42857360 42925568 43025920 43596280 43698200 44458624 44562560 45153290 45258850 45330880 46039175 46154080 46949840 47290880 48106240 48626620 48740300 48979840 49580650 49824320 49940800 50481025 50689912 51563876 51603760 51724400 51806720 52500266 52616200 52747520 53405443 53571700 53656960 53782400 54495350 55573280 55703200 55933696 56538748 56663600 56942080 57075200 57513554 57692600 57931328 58687300 58930144 59113600 60000304 60132800 60783275 61034792 61224800 62280400 62387584 63214606 63362390 63463232 63512320 63660800 64454845 64504700 64615712 64758400 65729776 65934400 66207232 67071200 67348736 68077268 68571776 68723200 69466600 69754048 69917120 69971200 70673435 71177600 72245264 72414160 72529408 73662680 73846528 75000380 75119744 75353600 76293490 76652800 77802592 77984480 79329040 79390400 79718912 79905280 80769640 82162220 82566016 82759040 84185920 85096585 85714720 87192560 87396400 88917248 89125120 90306580 90517700 90661760 92078350 92308160 93750475 93899680 96212480 97253240 97480600 97959680 99161300 99648640 99881600 100962050 101379824 102702775 103127752 103207520 103448800 105000532 105232400 105495040 106810886 107143400 107313920 107564800 108990700 111146560 111406400 111867392 112883225 113077496 113327200 115027108 115385200 115862656 117374600 117860288 118227200 119135219 120000608 120265600 121566550 122069584 122449600 124560800 124775168 126429212 126724780 126926464 127024640 127321600 128909690 129009400 129231424 129516800 131250665 131459552 131868800 134142400 134697472 136154536 137143552 138933200 139508096 139834240 139942400 141346870 142355200 143783885 144490528 144828320 147325360 147693056 150000760 150239488 152586980 153305600 155605184 155968960 158036515 158405975 158658080 158780800 161539280 164324440 165132032 165518080 168371840 170193170 171429440 174385120 174792800 177834496 178250240 180613160 181035400 181323520 183750931 184156700 184616320 187500950 187799360 190733725 194506480 194961200 195919360 198322600 199297280 199763200 201924100 202759648 205405550 206255504 206415040 206897600 210001064 210464800 213621772 214286800 214627840 215129600 217981400 221251121 222293120 222812800 225766450 226154992 226654400 230054216 230770400 231725312 234749200 235720576 236454400 238270438 240001216 240531200 243133100 244139168 244899200 249121600 249550336 252858424 253449560 253852928 257819380 258018800 258462848 259033600 262501330 262919104 263737600 267027215 268284800 272309072 274287104 277866400 279016192 279668480 282693740 284710400 287567770 288981056 289656640 294650720 300001520 300478976 305173960 311210368 311937920 316073030 316811950 317316160 317561600 322274225 323078560 328648880 330264064 331036160 336743680 340386340 342858880 348770240 349585600 353367175 361226320 362070800 362647040 367501862 368313400 369232640 373838101 375001900 375598720 381467450 389012960 389922400 396645200 398594560 399526400 403848200 405519296 410811100 412511008 412830080 413795200 420002128 420929600 425482925 427243544 428573600 435962800 442502242 444586240 445625600 451532900 452309984 453308800 460108432 461540800 463450624 469498400 471441152 476540876 480002432 481062400 486266200 488278336 489798400 498243200 505716848 506899120 507705856 515638760 516037600 516925696 525002660 525838208 527475200 534054430 536569600 544618144 555732800 558032384 559336960 565387480 575135540 577962112 579313280 589301440 595676095 600003040 610347920 622420736 623875840 632146060 633623900 634632320 635123200 644548450 646157120 656253325 657297760 673487360 680772680 685717760 697540480 699171200 706734350 718919425 722452640 724141600 735003724 736626800 738465280 747676202 750003800 751197440 762934900 778025920 779844800 790182575 793290400 807696400 811038592 821622200 825022016 825660160 827590400 833946533 840004256 841859200 850965850 854487088 857147200 871925600 885004484 889172480 891251200 903065800 904619968 906617600 918754655 920216864 923081600 938996800 942882304 953081752 960004864 972532400 976556672 979596800 996486400 1011433696 1013798240 1031277520 1032075200 1033851392 1050005320 1051676416 1068108860 1073139200 1089236288 1106255605 1111465600 1130774960 1150271080 1155924224 1158626560 1178602880 1191352190 1200006080 1220695840 1244841472 1247751680 1264292120 1267247800 1269264640 1289096900 1292314240 1312506650 1314595520 1335136075 1361545360 1371435520 1395080960 1398342400 1413468700 1437838850 1444905280 1448283200 1470007448 1473253600 1495352404 1500007600 1502394880 1525869800 1548757847 1556051840 1559689600 1580365150 1586580800 1615392800 1622077184 1643244400 1650044032 1651320320 1655180800 1667893066 1680008512 1683718400 1701931700 1708974176 1714294400 1743851200 1770008968 1806131600 1809239936 1813235200 1837509310 1840433728 1846163200 1869190505 1877993600 1906163504 1920009728 1945064800 1953113344 1992972800 2022867392 2027596480 2062555040 2064150400 2100010640 2103352832 2136217720 2178472576 2212511210 2222931200 2261549920 2300542160 2311848448 2317253120 2357205760 2382704380 2400012160 2441391680 2528584240 2534495600 2538529280 2578193800 2584628480 2625013300 2629191040 2670272150 2723090720 2790161920 2796684800 2826937400 2875677700 2889810560 2896566400 2940014896 2946507200 2978380475 2990704808 3000015200 3051739600 3097515694 3112103680 3119379200 3160730300 3173161600 3230785600 3244154368 3286488800 3300088064 3335786132 3360017024 3367436800 3403863400 3417948352 3428588800 3487702400 3540017936 3612263200 3618479872 3675018620 3680867456 3692326400 3738381010 3755987200 3812327008 3890129600 3906226688 4045734784 4055192960 4125110080 4128300800 4169732665 4200021280 4272435440 4356945152 4425022420 4445862400 4523099840 4593773275 4601084320 4714411520 4765408760 4800024320 4882783360 5057168480 5068991200 5156387600 5169256960 5250026600 5258382080 5340544300 5446181440 5531278025 5653874800 5751355400 5779621120 5793132800 5880029792 5893014400 5956760950 5981409616 6000030400 6103479200 6195031388 6224207360 6238758400 6321460600 6346323200 6461571200 6572977600 6600176128 6671572264 6720034048 6807726800 6835896704 6857177600 6975404800 7080035872 7224526400 7236959744 7350037240 7361734912 7476762020 7511974400 7624654016 7743789235 7780259200 8091469568 8110385920 8250220160 8256601600 8339465330 8400042560 8544870880 8713890304 8850044840 9046199680 9187546550 9202168640 9345952525 9530817520 9600048640 9765566720 10114336960 10137982400 10312775200 10500053200 10516764160 10681088600 10841304929 10892362880 11062556050 11307749600 11502710800 11559242240 11586265600 11760059584 11786028800 11913521900 11962819232 12000060800 12206958400 12390062776 12642921200 12692646400 12923142400 13145955200 13343144528 13440068096 13615453600 13671793408 13950809600 14160071744 14449052800 14700074480 14723469824 14953524040 15249308032 15487578470 15560518400 16182939136 16220771840 16500440320 16678930660 16800085120 17089741760 17700089680 18092399360 18375093100 18404337280 18691905050 19061635040 19531133440 20228673920 20275964800 20625550400 20848663325 21000106400 21362177200 21682609858 21784725760 22125112100 22615499200 23005421600 23520119168 23572057600 23827043800 23925638464 24000121600 24413916800 24780125552 25285842400 25846284800 26291910400 26686289056 27230907200 27343586816 28320143488 28898105600 29400148960 29907048080 30498616064 30975156940 31121036800 33000880640 33357861320 33600170240 34179483520 35400179360 36184798720 36750186200 36808674560 37383810100 38123270080 38718946175 40457347840 40551929600 41251100800 41697326650 42000212800 42724354400 43365219716 43569451520 44250224200 45230998400 46010843200 47040238336 47654087600 47851276928 48000243200 48827833600 49560251104 50571684800 52583820800 53372578112 54206524645 54461814400 56640286976 57796211200 58800297920 59814096160 60997232128 61950313880 66715722640 67200340480 68358967040 70800358720 73500372400 73617349120 74767620200 76246540160 77437892350 80914695680 81103859200 82502201600 83394653300 84000425600 85448708800 86730439432 88500448400 90461996800 92021686400 94080476672 95308175200 95702553856 97655667200 99120502208 101143369600 106745156224 108413049290 108923628800 113280573952 117600595840 119628192320 123900627760 133431445280 136717934080 141600717440 147000744800 149535240400 152493080320 154875784700 165004403200 166789306600 168000851200 170897417600 173460878864 177000896800 180923993600 184043372800 190616350400 191405107712 198241004416 202286739200 213490312448 216826098580 217847257600 235201191680 239256384640 247801255520 266862890560 271032623225 283201434880 294001489600 299070480800 304986160640 309751569400 333578613200 336001702400 341794835200 346921757728 354001793600 368086745600 381232700800 396482008832 404573478400 426980624896 433652197160 470402383360 478512769280 495602511040 533725781120 542065246450 566402869760 588002979200 598140961600 619503138800 667157226400 683589670400 693843515456 708003587200 762465401600 792964017664 867304394320 957025538560 991205022080 1067451562240 1084130492900 1176005958400 1196281923200 1239006277600 1334314452800 1387687030912 1416007174400 1524930803200 1734608788640 1982410044160 2134903124480 2168260985800 2352011916800 2392563846400 2478012555200 2668628905600 2775374061824 2832014348800 3469217577280 3964820088320 4336521971600 4785127692800 4956025110400 5337257811200 5550748123648 6938435154560 8673043943200 9912050220800 10674515622400 13876870309120 17346087886400 19824100441600 27753740618240 34692175772800 69384351545600 138768703091200
- Sum of all divisors σ(n): 454954606666560
- Sum of proper divisors (its aliquot sum) s(n): 316185903575360
- 138768703091200 is an abundant number, because the sum of its proper divisors (316185903575360) is greater than itself. Its abundance is 177417200484160
Bases of 138768703091200
- Binary: 111111000110101100110110100000011110010000000002
- Hexadecimal: 0x7E359B40F200
- Base-36: 1D6TGMX2PS
Squares and roots of 138768703091200
- 138768703091200 squared (1387687030912002) is 19256752957613620435517440000
- 138768703091200 cubed (1387687030912003) is 2672234633675671952705412466399510528000000
-
The
square root of 138768703091200 is 11780012.8646449277 -
The
cube root of 138768703091200 is 51772.2663130485
Scales and comparisons
How big is 138768703091200?- 138,768,703,091,200 seconds is equal to 4,412,415 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,768,703,091,200 would take you about eleven million, thirty-one thousand and thirty-eight 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 138768703091200 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138768703091200
- 138768703091200 backwards is 002190307867831
- The number of decimal digits it has is: 15
- The sum of 138768703091200's digits is 55
- 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 138768703091200 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138768703091200 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138768703091200/
Chicago style:
Numbermatics. 2024. "Number 138768703091200 - Facts about the integer". https://numbermatics.com/n/138768703091200/
The information we have on file for 138768703091200 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 138768703091200, math, Factors of 138768703091200, curriculum, school, college, exams, university, Prime factorization of 138768703091200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred sixty-eight billion, seven hundred three million, ninety-one thousand, two hundred.