138768828026400
138,768,828,026,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138768828026400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138768828026400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138768828026400:
25 × 33 × 52 × 113 × 136
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 138768828026400 from the Numbermatics database.
Names of 138768828026400
- Cardinal: 138768828026400 can be written as One hundred thirty-eight trillion, seven hundred sixty-eight billion, eight hundred twenty-eight million, twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.387688280264 × 1014
Factors of 138768828026400
Divisors of 138768828026400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 121 130 132 135 143 144 150 156 160 165 169 176 180 195 198 200 208 216 220 225 234 240 242 260 264 270 275 286 288 297 300 312 325 330 338 351 352 360 363 390 396 400 416 429 432 440 450 468 480 484 495 507 520 528 540 550 572 585 594 600 605 624 650 660 675 676 702 715 720 726 780 792 800 825 845 858 864 880 900 936 968 975 990 1014 1040 1056 1080 1089 1100 1144 1170 1188 1200 1210 1248 1287 1300 1320 1331 1350 1352 1404 1430 1440 1452 1485 1521 1560 1573 1584 1650 1690 1716 1755 1760 1800 1815 1859 1872 1936 1950 1980 2028 2080 2145 2160 2178 2197 2200 2288 2340 2376 2400 2420 2475 2535 2574 2600 2640 2662 2700 2704 2808 2860 2904 2925 2970 3025 3042 3120 3146 3168 3267 3300 3380 3432 3510 3575 3600 3630 3718 3744 3861 3872 3900 3960 3993 4056 4225 4290 4320 4356 4394 4400 4563 4576 4680 4719 4752 4840 4950 5070 5148 5200 5280 5324 5400 5408 5445 5577 5616 5720 5808 5850 5940 6050 6084 6240 6292 6435 6534 6591 6600 6655 6760 6864 7020 7150 7200 7260 7425 7436 7605 7722 7800 7865 7920 7986 8112 8450 8580 8712 8775 8788 8800 9075 9126 9295 9360 9438 9504 9680 9900 10140 10296 10400 10648 10725 10800 10890 10985 11154 11232 11440 11616 11700 11880 11979 12100 12168 12584 12675 12870 13068 13182 13200 13310 13520 13728 14040 14157 14300 14520 14850 14872 15210 15444 15600 15730 15840 15972 16224 16335 16731 16900 17160 17303 17424 17550 17576 18150 18252 18590 18720 18876 19305 19360 19773 19800 19965 20280 20449 20592 21296 21450 21600 21780 21970 22308 22815 22880 23400 23595 23760 23958 24167 24200 24336 25168 25350 25740 26136 26364 26400 26620 27040 27225 27885 28080 28314 28561 28600 29040 29700 29744 30420 30888 31200 31460 31944 32175 32670 32955 33275 33462 33800 34320 34606 34848 35100 35152 35937 36300 36504 37180 37752 38025 38610 39325 39546 39600 39930 40560 40898 41184 42471 42592 42900 43560 43940 44616 45630 46475 46800 47190 47520 47916 48334 48400 48672 50193 50336 50700 51480 51909 52272 52728 53240 54450 54925 55770 56160 56628 57122 57200 58080 59319 59400 59488 59895 60840 61347 61776 62920 63888 64350 65340 65910 66550 66924 67600 68640 69212 70200 70304 70785 71874 72501 72600 73008 74360 75504 76050 77220 78650 79092 79200 79860 81120 81675 81796 83655 84942 85683 85800 86515 87120 87880 89232 91260 92950 93600 94380 95832 96525 96668 96800 98865 99825 100386 101400 102245 102960 103818 104544 105456 106480 108900 109850 111540 113256 114075 114244 114400 117975 118638 118800 119790 120835 121680 122694 123552 125840 127776 128700 130680 131820 133100 133848 135200 138424 139425 140400 141570 142805 143748 145002 145200 146016 148720 151008 152100 154440 155727 157300 158184 159720 163350 163592 164775 167310 169884 171366 171600 173030 174240 175760 178464 179685 182520 184041 185900 188760 191664 193050 193336 197730 199650 200772 202800 204490 205920 207636 210912 212355 212960 217503 217800 219700 223080 224939 226512 228150 228488 235950 237276 237600 239580 241670 243360 245388 250965 251680 257049 257400 259545 261360 263640 265837 266200 267696 276848 278850 280800 283140 285610 287496 290004 290400 296595 297440 299475 304200 306735 308880 311454 314171 314600 316368 319440 326700 327184 329550 334620 339768 342732 343200 346060 351520 353925 359370 362505 365040 368082 371293 371800 377520 383328 386100 386672 395460 399300 401544 405600 408980 415272 418275 424710 428415 432575 435006 435600 439400 446160 449878 453024 456300 456976 467181 471900 474552 479160 483340 490776 494325 501930 511225 514098 514800 519090 522720 527280 531674 532400 535392 552123 553696 557700 566280 571220 574992 580008 593190 598950 604175 608400 613470 617760 622908 628342 629200 632736 638880 652509 653400 654368 659100 669240 674817 679536 685464 692120 707850 714025 718740 725010 730080 736164 742586 743600 755040 771147 772200 773344 778635 790920 797511 798600 803088 817960 830544 836550 849420 856830 865150 870012 871200 878800 892320 898425 899756 912600 913952 920205 934362 942513 943800 949104 958320 966680 981552 988650 1003860 1022450 1028196 1029600 1038180 1054560 1061775 1063348 1064800 1087515 1104246 1113879 1115400 1124695 1132560 1142440 1149984 1160016 1186380 1197900 1208350 1216800 1226940 1245816 1254825 1256684 1258400 1285245 1297725 1305018 1306800 1318200 1329185 1338480 1349634 1359072 1370928 1384240 1415700 1428050 1437480 1450020 1472328 1482975 1485172 1487200 1533675 1542294 1544400 1557270 1570855 1581840 1595022 1597200 1606176 1635920 1661088 1673100 1698840 1713660 1730300 1740024 1757600 1796850 1799512 1812525 1825200 1840410 1856465 1868724 1885026 1887600 1898208 1916640 1933360 1963104 1977300 2007720 2024451 2044900 2056392 2076360 2123550 2126696 2142075 2175030 2208492 2227758 2230800 2249390 2265120 2284880 2320032 2335905 2372760 2392533 2395800 2416700 2453880 2491632 2509650 2513368 2570490 2595450 2610036 2613600 2636400 2658370 2676960 2699268 2741856 2760615 2768480 2827539 2831400 2856100 2874960 2900040 2924207 2944656 2965950 2970344 3067350 3084588 3088800 3114540 3141710 3163680 3190044 3194400 3262545 3271840 3341637 3346200 3374085 3397680 3427320 3455881 3460600 3480048 3593700 3599024 3625050 3650400 3680820 3712930 3737448 3770052 3775200 3855735 3866720 3893175 3954600 3987555 4015440 4048902 4084223 4089800 4112784 4152720 4247100 4253392 4284150 4350060 4416984 4455516 4461600 4498780 4569760 4601025 4671810 4712565 4745520 4785066 4791600 4826809 4833400 4907760 4983264 5019300 5026736 5140980 5190900 5220072 5272800 5316740 5398536 5437575 5521230 5569395 5623475 5655078 5662800 5712200 5749920 5800080 5848414 5889312 5931900 5940688 6073353 6134700 6169176 6229080 6283420 6380088 6426225 6525090 6645925 6683274 6692400 6748170 6795360 6854640 6911762 6921200 6960096 7177599 7187400 7198048 7250100 7361640 7425860 7474896 7540104 7711470 7786350 7854275 7909200 7975110 8030880 8097804 8168446 8179600 8225568 8305440 8482617 8494200 8506784 8568300 8700120 8772621 8833968 8911032 8997560 9202050 9282325 9343620 9425130 9491040 9570132 9583200 9653618 9666800 9815520 10024911 10038600 10053472 10122255 10281960 10367643 10381800 10440144 10633480 10797072 10875150 11042460 11138790 11246950 11310156 11325600 11424400 11600160 11679525 11696828 11863800 11881376 11962665 12146706 12252669 12269400 12338352 12458160 12566840 12760176 12852450 13050180 13291850 13366548 13384800 13496340 13709280 13803075 13823524 13842400 14137695 14355198 14374800 14480427 14500200 14621035 14723280 14851720 14949792 15080208 15422940 15572700 15708550 15818400 15950220 16195608 16312725 16336892 16359200 16708185 16870425 16965234 16988400 17136600 17279405 17400240 17545242 17667936 17822064 17995120 18404100 18564650 18687240 18850260 19140264 19278675 19307236 19333600 19937775 20049822 20077200 20244510 20421115 20563920 20735286 20763600 20880288 21266960 21594144 21750300 22084920 22277580 22493900 22620312 22848800 23359050 23393656 23562825 23727600 23925330 24134045 24293412 24505338 24538800 24676704 24916320 25133680 25520352 25704900 26100360 26317863 26583700 26733096 26992680 27606150 27647048 27846975 28275390 28710396 28749600 28960854 29000400 29242070 29446560 29703440 30160416 30366765 30845880 31102929 31145400 31417100 31900440 32391216 32625450 32673784 33416370 33740850 33930468 33976800 34273200 34558810 34800480 35090484 35644128 35887995 35990240 36758007 36808200 37129300 37374480 37700520 38014691 38280528 38557350 38614472 39875550 40099644 40154400 40489020 40842230 41127840 41470572 41527200 42413085 42533920 43441281 43500600 43863105 44169840 44555160 44926453 44987800 45240624 46718100 46787312 47125650 47455200 47850660 48268090 48586824 49010676 49077600 50124555 50267360 50611275 51409800 51838215 52200720 52635726 53094899 53167400 53466192 53985360 55212300 55294096 55693950 56550780 57420792 57921708 58000800 58484140 59406880 59813325 60733530 61263345 61691760 62205858 62290800 62834200 63800880 64782432 65250900 65347568 66832740 67481700 67860936 68546400 69117620 70180968 70688475 71775990 72402135 73105175 73516014 73616400 74258600 74748960 75401040 76029382 76561056 77114700 77228944 78953589 79751100 80199288 80978040 81684460 82941144 83540925 84826170 86397025 86882562 87001200 87726210 88339680 89110320 89852906 89975600 90481248 93308787 93436200 93574624 94251300 95701320 96536180 97173648 98021352 100249110 101222550 102105575 102819600 103676430 104401440 105271452 106189798 106334800 106932384 107970720 110274021 110424600 110588192 111387900 113101560 114044073 114841584 115843416 116968280 119626650 120670225 121467060 122526690 123383520 124411716 124581600 125668400 127601760 130323843 130501800 130695136 131589315 133665480 134779359 134963400 135721872 138235240 140361936 141376950 143551980 144804270 146210350 147032028 147232800 148517200 150802080 151833825 152058764 154229400 154457888 155514645 157907178 159284697 159502200 160398576 161956080 163368920 165882288 167081850 169652340 172794050 173765124 174002400 175452420 178220640 179439975 179705812 179951200 183790035 186617574 186872400 188502600 190073455 191402640 193072360 194347296 196042704 200498220 202445100 204211150 205639200 207352860 210542904 212065425 212379596 212669600 217206405 219315525 220548042 220849200 222775800 224632265 226203120 228088146 229683168 231686832 233936560 239253300 241340450 242934120 245053380 248823432 250622775 251336800 259191075 260647686 261003600 263178630 265474495 267330960 269558718 269926800 271443744 276470480 280723872 282753900 287103960 289608540 292420700 294064056 297034400 303667650 304117528 306316725 308458800 311029290 315814356 318569394 319004400 320797152 323912160 326737840 331764576 334163700 339304680 342132219 345588100 347530248 350904840 358879950 359411624 362010675 367580070 373235148 373744800 377005200 380146910 382805280 386144720 392085408 394767945 400996440 404338077 404890200 408422300 414705720 421085808 424130850 424759192 434412810 438631050 441096084 441698400 445551600 449264530 452406240 456176292 463373664 466543935 467873120 477854091 478506600 482680900 485868240 490106760 494190983 497646864 501245550 518382150 521295372 522007200 526357260 530948990 534661920 539117436 539853600 551370105 552940960 565507800 570220365 574207920 579217080 584043889 584841400 588128112 607335300 608235056 612633450 616917600 622058580 631628712 637138788 638008800 651619215 653475680 657946575 668327400 673896795 678609360 684264438 691176200 695060496 701809680 717759900 718823248 724021350 735160140 746470296 754010400 760293820 772289440 777573225 789535890 796423485 801992880 808676154 809780400 816844600 829411440 842171616 848261700 849518384 868825620 877262100 882192168 891103200 898529060 912352584 918950175 933087870 950367275 955708182 957013200 965361800 971736480 980213520 988381966 995293728 1002491100 1026396657 1036764300 1042590744 1052714520 1061897980 1078234872 1086032025 1102740210 1123161325 1131015600 1140440730 1148415840 1158434160 1168087778 1169682800 1176256224 1213014231 1214670600 1216470112 1225266900 1244117160 1263257424 1274277576 1303238430 1315893150 1327372475 1336654800 1347793590 1357218720 1368528876 1382352400 1390120992 1403619360 1433562273 1435519800 1437646496 1448042700 1470320280 1482572949 1492940592 1520587640 1555146450 1579071780 1592846970 1603985760 1617352308 1619560800 1633689200 1658822880 1696523400 1699036768 1710661095 1737651240 1752131667 1754524200 1764384336 1797058120 1824705168 1837900350 1866175740 1900734550 1911416364 1914026400 1930723600 1960427040 1973839725 1976763932 2004982200 2021690385 2052793314 2073528600 2085181488 2105429040 2123795960 2156469744 2172064050 2205480420 2246322650 2262031200 2280881460 2316868320 2332719675 2336175556 2339365600 2389270455 2426028462 2429341200 2450533800 2470954915 2488234320 2526514848 2548555152 2606476860 2631786300 2654744950 2673309600 2695587180 2737057752 2756850525 2764704800 2851101825 2867124546 2871039600 2896085400 2920219445 2940640560 2965145898 2985881184 3041175280 3110292900 3158143560 3185693940 3234704616 3258096075 3267378400 3369483975 3393046800 3421322190 3475302480 3504263334 3509048400 3528768672 3594116240 3649410336 3675800700 3732351480 3801469100 3822832728 3861447200 3947679450 3953527864 3982117425 4009964400 4043380770 4105586628 4147057200 4170362976 4210858080 4247591920 4312939488 4344128100 4410960840 4447718847 4492645300 4561762920 4665439350 4672351112 4778540910 4852056924 4858682400 4901067600 4941909830 4976468640 5097110304 5131983285 5212953720 5256395001 5263572600 5309489900 5391174360 5474115504 5513701050 5702203650 5734249092 5742079200 5792170800 5840438890 5881281120 5930291796 6065071155 6082350560 6220585800 6316287120 6371387880 6424482779 6469409232 6516192150 6738967950 6786093600 6842644380 6950604960 7008526668 7018096800 7167811365 7188232480 7351601400 7412864745 7464702960 7602938200 7645665456 7895358900 7907055728 7964234850 8019928800 8086761540 8211173256 8294114400 8495183840 8553305475 8688256200 8760658335 8821921680 8895437694 8985290600 9123525840 9330878700 9344702224 9557081820 9704113848 9802135200 9883819660 10108451925 10263966570 10425907440 10512790002 10527145200 10618979800 10782348720 10948231008 11027402100 11404407300 11468498184 11584341600 11680877780 11860583592 11946352275 12130142310 12354774575 12441171600 12632574240 12742775760 12848965558 12938818464 13032384300 13343156541 13477935900 13685288760 14017053336 14335622730 14601097225 14703202800 14825729490 14929405920 15205876400 15291330912 15769185003 15790717800 15814111456 15928469700 16173523080 16422346512 17106610950 17376512400 17521316670 17643843360 17790875388 17970581200 18247051680 18661757400 18689404448 19114163640 19273448337 19408227696 19767639320 20216903850 20527933140 20851814880 21025580004 21054290400 21237959600 21564697440 22054804200 22238594235 22808814600 22936996368 23361755560 23721167184 23892704550 24260284620 24709549150 24882343200 25485551520 25659916425 25697931116 26064768600 26281975005 26686313082 26955871800 27370577520 28034106672 28671245460 29202194450 29406405600 29651458980 30325355775 30411752800 31538370006 31581435600 31856939400 32122413895 32347046160 32844693024 34213221900 34753024800 35042633340 35581750776 35839056825 35941162400 37064323725 37323514800 38228327280 38546896674 38816455392 39535278640 40433807700 41055866280 42051160008 42475919200 43803291675 44109608400 44477188470 45617629200 45873992736 46723511120 47442334368 47785409100 48520569240 49419098300 51319832850 51395862232 52129537200 52563950010 53372626164 53911743600 54741155040 56068213344 57342490920 57820345011 58404388900 59302917960 60650711550 63076740012 63162871200 63713878800 64244827790 64694092320 66715782705 68426443800 70085266680 71163501552 71678113650 74128647450 74647029600 76456654560 77093793348 78845925015 79070557280 80867615400 82111732560 84102320016 87606583350 88219216800 88954376940 91235258400 93447022240 95570818200 96367241685 97041138480 98838196600 102639665700 102791724464 104259074400 105127900020 106745252328 107823487200 111192971175 114684981840 115640690022 116808777800 118605835920 121301423100 126153480024 127427757600 128489655580 131409875025 133431565410 136852887600 140170533360 142327003104 143356227300 148257294900 154187586696 157691850030 160612069475 161735230800 164223465120 168204640032 173461035033 175213166700 177908753880 191141636400 192734483370 194082276960 197676393200 205279331400 205583448928 210255800040 213490504656 222385942350 229369963680 231281380044 233617555600 237211671840 242602846200 252306960048 256979311160 262819750050 266863130820 273705775200 280341066720 286712454600 289101725055 296514589800 308375173392 315383700060 321224138950 323470461600 333578913525 346922070066 350426333400 355817507760 382283272800 385468966740 394229625075 395352786400 410558662800 420511600080 426981009312 444771884700 462562760088 467235111200 481836208425 485205692400 504613920096 513958622320 525639500100 533726261640 573424909200 578203450110 593029179600 616750346784 630767400120 642448277900 667157827050 693844140132 700852666800 711635015520 770937933480 788459250150 821117325600 841023200160 867305175165 889543769400 925125520176 963672416850 970411384800 1027917244640 1051279000200 1067452523280 1146849818400 1156406900220 1186058359200 1261534800240 1284896555800 1334315654100 1387688280264 1401705333600 1445508625275 1541875866960 1576918500300 1734610350330 1779087538800 1850251040352 1927344833700 2102558000400 2134905046560 2312813800440 2523069600480 2569793111600 2668631308200 2775376560528 2891017250550 3083751733920 3153837000600 3469220700660 3558175077600 3854689667400 4205116000800 4336525875825 4625627600880 5139586223200 5337262616400 5550753121056 5782034501100 6307674001200 6938441401320 7709379334800 8673051751650 9251255201760 10674525232800 11564069002200 12615348002400 13876882802640 15418758669600 17346103503300 23128138004400 27753765605280 34692207006600 46256276008800 69384414013200 138768828026400
- Sum of all divisors σ(n): 598033516530240
- Sum of proper divisors (its aliquot sum) s(n): 459264688503840
- 138768828026400 is an abundant number, because the sum of its proper divisors (459264688503840) is greater than itself. Its abundance is 320495860477440
Bases of 138768828026400
- Binary: 111111000110101101000101011001101001110001000002
- Hexadecimal: 0x7E35A2B34E20
- Base-36: 1D6TIPAVC0
Squares and roots of 138768828026400
- 138768828026400 squared (1387688280264002) is 19256787631820578119096960000
- 138768828026400 cubed (1387688280264003) is 2672241851221016325349592819907039744000000
-
The
square root of 138768828026400 is 11780018.1674902353 -
The
cube root of 138768828026400 is 51772.2818501169 - Being both a perfect square and a perfect cube, 138768828026400 is also a
perfect sixth number .
Scales and comparisons
How big is 138768828026400?- 138,768,828,026,400 seconds is equal to 4,412,419 years, 25 weeks, 3 days, 18 hours.
-
To count from 1 to 138,768,828,026,400 would take you about eleven million, thirty-one thousand and forty-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 138768828026400 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138768828026400
- 138768828026400 backwards is 004620828867831
- The number of decimal digits it has is: 15
- The sum of 138768828026400's digits is 63
- More coming soon!
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MLA style:
"Number 138768828026400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138768828026400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138768828026400/
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The information we have on file for 138768828026400 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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