138248639179915264
138,248,639,179,915,264 is an even composite number composed of six prime numbers multiplied together.
138248639179915264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138248639179915264:
224 × 7 × 11 × 132 × 17 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 13 × 17 × 193 × 193)See below for interesting mathematical facts about the number 138248639179915264 from the Numbermatics database.
Names of 138248639179915264
- Cardinal: 138248639179915264 can be written as One hundred thirty-eight quadrillion, two hundred forty-eight trillion, six hundred thirty-nine billion, one hundred seventy-nine million, nine hundred fifteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38248639179915264 × 1017
Factors of 138248639179915264
Divisors of 138248639179915264
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 64 68 77 88 91 104 112 119 128 136 143 154 169 176 182 187 193 208 221 224 238 256 272 286 308 338 352 364 374 386 416 442 448 476 512 544 572 616 676 704 728 748 772 832 884 896 952 1001 1024 1088 1144 1183 1232 1309 1351 1352 1408 1456 1496 1544 1547 1664 1768 1792 1859 1904 2002 2048 2123 2176 2288 2366 2431 2464 2509 2618 2702 2704 2816 2873 2912 2992 3088 3094 3281 3328 3536 3584 3718 3808 4004 4096 4246 4352 4576 4732 4862 4928 5018 5236 5404 5408 5632 5746 5824 5984 6176 6188 6562 6656 7072 7168 7436 7616 8008 8192 8492 8704 9152 9464 9724 9856 10036 10472 10808 10816 11264 11492 11648 11968 12352 12376 13013 13124 13312 14144 14336 14861 14872 15232 16016 16384 16984 17017 17408 17563 18304 18928 19448 19712 20072 20111 20944 21616 21632 22528 22967 22984 23296 23936 24704 24752 26026 26248 26624 27599 28288 28672 29722 29744 30464 31603 32032 32617 32768 33968 34034 34816 35126 36091 36608 37249 37856 38896 39424 40144 40222 41888 42653 43232 43264 45056 45934 45968 46592 47872 49408 49504 52052 52496 53248 55198 56576 57344 59444 59488 60928 63206 64064 65234 65536 67936 68068 69632 70252 72182 73216 74498 75712 77792 78848 80288 80444 83776 85306 86464 86528 90112 91868 91936 93184 95744 98816 99008 104104 104992 106496 110396 113152 114688 118888 118976 121856 126412 128128 130468 131072 135872 136136 139264 140504 144364 146432 148996 151424 155584 157696 160576 160888 167552 170612 172928 173056 180224 183736 183872 186368 191488 193193 197632 198016 208208 209984 212992 220792 221221 226304 228319 229376 237776 237952 243712 252637 252824 256256 260743 260936 262144 271744 272272 278528 281008 288728 292864 297992 298571 302848 311168 315392 321152 321776 335104 341224 345856 346112 358787 360448 367472 367744 372736 382976 386386 395264 396032 409739 416416 419968 425984 441584 442442 452608 456638 458752 469183 475552 475904 484237 487424 505274 505648 512512 521486 521872 524288 543488 544544 554489 557056 562016 577456 585728 595984 597142 605696 622336 630784 633233 642304 643552 670208 682448 691712 692224 717574 720896 734944 735488 745472 765952 772772 790528 792064 819478 832832 839936 851968 883168 884884 905216 913276 917504 938366 951104 951808 968474 974848 1010548 1011296 1025024 1042972 1043744 1048576 1086976 1089088 1108978 1114112 1124032 1154912 1171456 1191968 1194284 1211392 1244672 1261568 1266466 1284608 1287104 1340416 1364896 1383424 1384448 1435148 1441792 1469888 1470976 1490944 1531904 1545544 1581056 1584128 1638956 1665664 1679872 1703936 1766336 1769768 1810432 1826552 1835008 1876732 1902208 1903616 1936948 1949696 2021096 2022592 2050048 2085944 2087488 2097152 2173952 2178176 2217956 2228224 2248064 2309824 2342912 2383936 2388568 2422784 2489344 2511509 2523136 2532932 2569216 2574208 2680832 2729792 2766848 2768896 2868173 2870296 2883584 2939776 2941952 2981888 3063808 3091088 3162112 3168256 3277912 3284281 3331328 3359744 3389659 3407872 3532672 3539536 3620864 3653104 3670016 3753464 3804416 3807232 3873896 3881423 3899392 4042192 4045184 4100096 4171888 4174976 4194304 4347904 4356352 4432631 4435912 4456448 4496128 4619648 4685824 4767872 4777136 4845568 4978688 5023018 5046272 5065864 5138432 5148416 5326607 5361664 5459584 5533696 5537792 5736346 5740592 5767168 5879552 5883904 5963776 6099379 6127616 6182176 6295081 6324224 6336512 6555824 6568562 6662656 6719488 6779318 6815744 6965563 7065344 7079072 7241728 7306208 7340032 7506928 7608832 7614464 7747792 7762846 7798784 8084384 8090368 8200192 8232029 8343776 8349952 8388608 8695808 8712704 8865262 8871824 8912896 8992256 9239296 9371648 9535744 9554272 9691136 9957376 10046036 10092544 10131728 10276864 10296832 10653214 10723328 10919168 11067392 11075584 11472692 11481184 11534336 11759104 11767808 11927552 12198758 12255232 12364352 12590162 12648448 12673024 13111648 13137124 13325312 13438976 13558636 13631488 13931126 14130688 14158144 14483456 14612416 14680064 15013856 15217664 15228928 15495584 15525692 15597568 16168768 16180736 16400384 16464058 16687552 16699904 16777216 17391616 17425408 17730524 17743648 17825792 17984512 18478592 18743296 19071488 19108544 19382272 19914752 20092072 20185088 20263456 20553728 20593664 21306428 21446656 21838336 22134784 22151168 22945384 22962368 23068672 23518208 23535616 23855104 24397516 24510464 24728704 25180324 25296896 25346048 26223296 26274248 26650624 26877952 27117272 27262976 27862252 28261376 28316288 28966912 29224832 29360128 30027712 30435328 30457856 30991168 31051384 31195136 32337536 32361472 32800768 32928116 33375104 33399808 34783232 34850816 35461048 35487296 35651584 35969024 36957184 37286249 37486592 38142976 38217088 38764544 39829504 40184144 40370176 40526912 41107456 41187328 42612856 42695653 42893312 43676672 44065567 44269568 44302336 45890768 45924736 46137344 47036416 47071232 47710208 48758941 48795032 49020928 49457408 50360648 50593792 50692096 52446592 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162107648 164429824 164749312 170451424 170782612 171573248 174706688 176262268 177078272 177209344 181104638 183563072 183698944 184549376 188145664 188284928 190840832 195035764 195180128 196083712 197829632 201442592 202375168 202768384 209786368 210193984 213204992 214032754 215023616 216938176 218103808 222898016 226091008 226530304 230496812 231735296 233798656 240221696 243482624 243662848 247929344 248411072 249561088 258700288 258891776 262406144 263424928 267000832 267198464 276983564 278265856 278806528 283688384 283898368 285212672 287752192 295657472 298289992 299892736 305143808 305736704 310116352 318636032 321473152 322961408 324215296 328859648 329498624 340902848 341565224 343146496 349413376 352524536 354156544 354418688 362209276 367126144 367397888 376291328 376569856 381681664 390071528 390360256 392167424 395659264 402885184 404750336 405536768 419572736 420387968 426409984 428065508 430047232 433876352 445796032 452182016 453060608 460993624 463470592 467597312 480443392 484721237 486965248 487325696 495858688 496822144 499122176 517400576 517783552 524812288 526849856 534001664 534396928 553967128 556531712 557613056 567376768 567796736 575504384 591314944 596579984 599785472 610287616 611473408 620232704 633866233 637272064 642946304 645922816 648430592 657719296 658997248 681805696 683130448 686292992 698826752 705049072 708313088 708837376 724418552 734252288 734795776 749114639 752582656 753139712 763363328 780143056 780720512 784334848 791318528 805770368 809500672 811073536 839145472 840775936 852819968 856131016 860094464 867752704 891592064 904364032 906121216 921987248 926941184 935194624 960886784 969442474 973930496 974651392 991717376 993644288 998244352 1034801152 1035567104 1049624576 1053699712 1068003328 1068793856 1107934256 1113063424 1115226112 1134753536 1135593472 1151008768 1177180147 1182629888 1193159968 1199570944 1220575232 1222946816 1240465408 1267732466 1274544128 1285892608 1291845632 1296861184 1315438592 1317994496 1363611392 1366260896 1372585984 1397653504 1410098144 1416626176 1417674752 1448837104 1468504576 1469591552 1498229278 1505165312 1506279424 1526726656 1560286112 1561441024 1568669696 1582637056 1611540736 1619001344 1622147072 1678290944 1681551872 1705639936 1712262032 1720188928 1735505408 1783184128 1808728064 1812242432 1843974496 1853882368 1870389248 1921773568 1938884948 1947860992 1949302784 1983434752 1987288576 1996488704 2069602304 2071134208 2099249152 2107399424 2136006656 2137587712 2215868512 2226126848 2230452224 2269507072 2271186944 2302017536 2354360294 2365259776 2386319936 2399141888 2441150464 2445893632 2480930816 2535464932 2549088256 2571785216 2593722368 2630877184 2635988992 2727222784 2732521792 2745171968 2795307008 2820196288 2833252352 2835349504 2897674208 2937009152 2939183104 2996458556 3010330624 3012558848 3120572224 3122882048 3137339392 3165274112 3223081472 3238002688 3244294144 3356581888 3363103744 3411279872 3424524064 3440377856 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10141859728 10196353024 10287140864 10374889472 10523508736 10543955968 10908891136 10930087168 10980687872 11181228032 11280785152 11333009408 11590696832 11748036608 11756732416 11985834224 12041322496 12050235392 12482288896 12491528192 12661096448 12892325888 12977176576 13426327552 13452414976 13645119488 13698096256 13761511424 13884043264 14265473024 14469824512 14497939456 14751795968 14963113984 15374188544 15511079584 15582887936 15594422272 15867478016 15898308608 16480522058 16556818432 16569073664 16793993216 16859195392 17088053248 17100701696 17726948096 17809014784 17843617792 18156056576 18169495552 18416140288 18834882352 18922078208 19090559488 19529203712 19567149056 19847446528 20283719456 20392706048 20574281728 20749778944 21047017472 21087911936 21817782272 21860174336 21961375744 22362456064 22561570304 22666018816 23181393664 23496073216 23513464832 23971668448 24082644992 24100470784 24964577792 24983056384 25322192896 25784651776 25954353152 26852655104 26904829952 27290238976 27396192512 27523022848 27768086528 28530946048 28939649024 28995878912 29503591936 29926227968 30748377088 31022159168 31165775872 31188844544 31734956032 31796617216 32961044116 33113636864 33138147328 33718390784 34176106496 34201403392 35453896192 35618029568 35687235584 36312113152 36338991104 36832280576 37669764704 37844156416 38181118976 39058407424 39134298112 40567438912 40785412096 41148563456 41499557888 42094034944 42175823872 43635564544 43720348672 44724912128 45123140608 46362787328 46992146432 47026929664 47943336896 48165289984 48200941568 49929155584 49966112768 50644385792 51569303552 53705310208 53809659904 54580477952 54792385024 55046045696 55536173056 57061892096 57879298048 57991757824 59007183872 59852455936 61496754176 62044318336 62331551744 63469912064 63593234432 65922088232 66227273728 66276294656 67436781568 68352212992 68402806784 70907792384 71374471168 72624226304 72677982208 73664561152 75339529408 75688312832 76362237952 78116814848 78268596224 81134877824 82297126912 82999115776 84351647744 87271129088 87440697344 89449824256 90246281216 92725574656 93984292864 94053859328 95886673792 96330579968 99858311168 99932225536 101288771584 103138607104 107410620416 107619319808 109160955904 109584770048 111072346112 114123784192 115758596096 115983515648 118014367744 119704911872 122993508352 124088636672 124663103488 126939824128 127186468864 131844176464 132454547456 132552589312 134873563136 136704425984 136805613568 141815584768 142748942336 145248452608 145355964416 147329122304 150679058816 151376625664 152724475904 156233629696 156537192448 162269755648 164594253824 165998231552 168703295488 174542258176 174881394688 178899648512 180492562432 185451149312 187968585728 188107718656 191773347584 192661159936 199716622336 199864451072 202577543168 206277214208 214821240832 215238639616 218321911808 219169540096 222144692224 228247568384 231517192192 231967031296 236028735488 239409823744 245987016704 248177273344 249326206976 253879648256 254372937728 263688352928 264909094912 265105178624 269747126272 273408851968 273611227136 283631169536 285497884672 290496905216 290711928832 294658244608 301358117632 302753251328 305448951808 312467259392 313074384896 324539511296 329188507648 331996463104 337406590976 349084516352 349762789376 357799297024 360985124864 370902298624 375937171456 376215437312 383546695168 385322319872 399433244672 399728902144 405155086336 412554428416 429642481664 430477279232 438339080192 444289384448 456495136768 463034384384 463934062592 472057470976 478819647488 491974033408 496354546688 507759296512 508745875456 527376705856 529818189824 530210357248 539494252544 546817703936 547222454272 567262339072 580993810432 581423857664 602716235264 605506502656 610897903616 624934518784 626148769792 649079022592 658377015296 663992926208 698169032704 699525578752 715598594048 721970249728 741804597248 751874342912 752430874624 767093390336 798866489344 799457804288 810310172672 825108856832 859284963328 860954558464 876678160384 888578768896 912990273536 927868125184 944114941952 957639294976 983948066816 992709093376 1015518593024 1017491750912 1054753411712 1059636379648 1078988505088 1093635407872 1134524678144 1161987620864 1162847715328 1205432470528 1221795807232 1252297539584 1298158045184 1316754030592 1327985852416 1396338065408 1399051157504 1443940499456 1483609194496 1503748685824 1504861749248 1534186780672 1597732978688 1598915608576 1620620345344 1650217713664 1718569926656 1721909116928 1753356320768 1777157537792 1825980547072 1855736250368 1888229883904 1915278589952 1967896133632 1985418186752 2031037186048 2034983501824 2109506823424 2119272759296 2157977010176 2187270815744 2269049356288 2323975241728 2325695430656 2410864941056 2443591614464 2504595079168 2596316090368 2633508061184 2655971704832 2792676130816 2798102315008 2887880998912 2967218388992 3007497371648 3009723498496 3068373561344 3195465957376 3197831217152 3241240690688 3300435427328 3437139853312 3443818233856 3506712641536 3554315075584 3651961094144 3711472500736 3776459767808 3830557179904 3935792267264 3970836373504 4062074372096 4069967003648 4219013646848 4238545518592 4315954020352 4374541631488 4538098712576 4647950483456 4651390861312 4821729882112 4887183228928 5009190158336 5192632180736 5267016122368 5311943409664 5585352261632 5596204630016 5775761997824 5934436777984 6014994743296 6019446996992 6136747122688 6390931914752 6395662434304 6600870854656 6874279706624 6887636467712 7013425283072 7108630151168 7303922188288 7552919535616 7871584534528 7941672747008 8124148744192 8139934007296 8438027293696 8631908040704 9076197425152 9295900966912 9302781722624 9643459764224 9774366457856 10385264361472 10534032244736 10623886819328 11170704523264 11192409260032 11551523995648 11868873555968 12029989486592 12273494245376 12781863829504 12791324868608 13201741709312 13775272935424 14026850566144 14217260302336 14607844376576 15105839071232 15883345494016 16279868014592 16876054587392 17263816081408 18152394850304 18591801933824 19286919528448 19548732915712 20770528722944 21068064489472 22341409046528 22384818520064 23103047991296 23737747111936 24059978973184 24546988490752 25563727659008 25582649737216 26403483418624 27550545870848 28053701132288 28434520604672 29215688753152 30211678142464 31766690988032 32559736029184 33752109174784 34527632162816 36304789700608 37183603867648 38573839056896 39097465831424 41541057445888 42136128978944 44682818093056 44769637040128 46206095982592 47475494223872 48119957946368 49093976981504 51127455318016 51165299474432 52806966837248 55101091741696 56107402264576 56869041209344 58431377506304 60423356284928 63533381976064 65119472058368 67504218349568 69055264325632 72609579401216 74367207735296 77147678113792 78194931662848 83082114891776 89365636186112 89539274080256 92412191965184 94950988447744 98187953963008 102254910636032 102330598948864 105613933674496 112214804529152 116862755012608 120846712569856 127066763952128 135008436699136 138110528651264 145219158802432 154295356227584 156389863325696 166164229783552 179078548160512 184824383930368 189901976895488 196375907926016 204509821272064 224429609058304 241693425139712 254133527904256 270016873398272 290438317604864 308590712455168 312779726651392 332328459567104 358157096321024 369648767860736 379803953790976 392751815852032 409019642544128 448859218116608 483386850279424 508267055808512 540033746796544 580876635209728 617181424910336 625559453302784 664656919134208 716314192642048 739297535721472 759607907581952 785503631704064 818039285088256 897718436233216 966773700558848 1016534111617024 1080067493593088 1161753270419456 1234362849820672 1329313838268416 1519215815163904 1571007263408128 1795436872466432 2033068223234048 2160134987186176 2468725699641344 2658627676536832 3142014526816256 4066136446468096 4320269974372352 4937451399282688 5317255353073664 6284029053632512 8132272892936192 8640539948744704 9874902798565376 10634510706147328 12568058107265024 17281079897489408 19749805597130752 34562159794978816 69124319589957632 138248639179915264
- Sum of all divisors σ(n): 397297053736252992
- Sum of proper divisors (its aliquot sum) s(n): 259048414556337728
- 138248639179915264 is an abundant number, because the sum of its proper divisors (259048414556337728) is greater than itself. Its abundance is 120799775376422464
Bases of 138248639179915264
- Binary: 1111010110010100001100111101001010000000000000000000000002
- Hexadecimal: 0x1EB2867A5000000
- Base-36: 11T91W2DMVWG
Squares and roots of 138248639179915264
- 138248639179915264 squared (1382486391799152642) is 19112686235098401799020894220189696
- 138248639179915264 cubed (1382486391799152643) is 2642302863075052069526685184153110918965247285919744
-
The
square root of 138248639179915264 is 371818018.9016063057 -
The
cube root of 138248639179915264 is 517075.0965342677
Scales and comparisons
How big is 138248639179915264?- 138,248,639,179,915,264 seconds is equal to 4,395,879,094 years, 41 weeks, 5 days, 6 hours, 41 minutes, 4 seconds.
-
To count from 1 to 138,248,639,179,915,264 would take you about thirteen billion, one hundred eighty-seven million, six hundred thirty-seven thousand, two hundred eighty-four 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 138248639179915264 cubic inches would be around 43089.6 feet tall.
Recreational maths with 138248639179915264
- 138248639179915264 backwards is 462519971936842831
- 138248639179915264 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138248639179915264's digits is 88
- More coming soon!
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"Number 138248639179915264 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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The information we have on file for 138248639179915264 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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