138022354838852250
138,022,354,838,852,250 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138022354838852250 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138022354838852250 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138022354838852250:
2 × 3 × 53 × 132 × 17 × 19 × 312 × 18732
(2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 19 × 31 × 31 × 1873 × 1873)See below for interesting mathematical facts about the number 138022354838852250 from the Numbermatics database.
Names of 138022354838852250
- Cardinal: 138022354838852250 can be written as One hundred thirty-eight quadrillion, twenty-two trillion, three hundred fifty-four billion, eight hundred thirty-eight million, eight hundred fifty-two thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3802235483885225 × 1017
Factors of 138022354838852250
Divisors of 138022354838852250
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 5 6 10 13 15 17 19 25 26 30 31 34 38 39 50 51 57 62 65 75 78 85 93 95 102 114 125 130 150 155 169 170 186 190 195 221 247 250 255 285 310 323 325 338 375 390 403 425 442 465 475 494 507 510 527 570 589 646 650 663 741 750 775 806 845 850 930 950 961 969 975 1014 1054 1105 1178 1209 1235 1275 1326 1425 1482 1550 1581 1615 1625 1690 1767 1873 1922 1938 1950 2015 2125 2210 2325 2375 2418 2470 2535 2550 2635 2850 2873 2883 2945 3162 3211 3230 3250 3315 3534 3705 3746 3875 4030 4199 4225 4250 4650 4750 4805 4845 4875 5070 5239 5270 5525 5619 5746 5766 5890 6045 6175 6375 6422 6630 6851 7125 7410 7657 7750 7905 8075 8398 8450 8619 8835 9365 9610 9633 9690 9750 10013 10075 10478 11050 11238 11625 12090 12350 12493 12597 12675 12750 13175 13702 14250 14365 14415 14725 15314 15717 15810 16055 16150 16337 16575 17238 17670 18259 18525 18730 19266 20026 20150 20553 20995 21125 22971 23250 24025 24225 24349 24986 25194 25350 26195 26350 27625 28095 28730 28830 29450 30039 30225 30875 31434 31841 32110 32674 33150 34255 35587 36518 37050 37479 38285 39525 40375 41106 41990 42250 43095 44175 45942 46825 48050 48165 48450 48698 49011 50065 50375 52390 54587 54777 55250 56190 58063 60078 60450 61750 62465 62985 63375 63682 65875 68510 71174 71825 72075 73047 73625 74958 76570 78585 79050 80275 80750 81685 82875 86190 88350 89063 91295 92625 93650 95523 96330 98022 99541 100130 100750 102765 104975 106761 109174 109554 114855 116126 120125 121125 121745 124930 125970 126750 130169 130975 131750 140475 143650 144150 146094 147250 150195 151125 157170 159205 160550 162409 163370 163761 165750 171275 174189 177935 178126 182590 185250 187395 191046 191425 197625 199082 205530 209950 212381 213522 215475 220875 229710 234125 237367 240250 240825 242250 243490 245055 250325 260338 261950 267189 272935 273885 280950 290315 298623 300390 302250 310403 312325 314925 316537 318410 324818 327522 342550 348378 355870 359125 360375 365235 374790 382850 390507 392925 395250 401375 408425 413933 424762 430950 441750 445315 456475 462631 468250 474734 477615 481650 487227 490110 497705 500650 513825 524875 533805 534378 545870 547770 574275 580630 597246 604979 608725 620806 624650 629850 633074 637143 650845 654875 702375 712101 718250 720750 730470 750975 754819 781014 785850 796025 802750 812045 816850 818805 827866 856375 870945 889675 890630 912950 925262 931209 936975 949611 955230 957125 974454 987071 995410 1027650 1049750 1061905 1067610 1077375 1103197 1148550 1186835 1204125 1209958 1217450 1225275 1241799 1251625 1274286 1301690 1309750 1335945 1364675 1369425 1387893 1404750 1424202 1451575 1493115 1501950 1509638 1552015 1561625 1574625 1582685 1592050 1624090 1637610 1692197 1712750 1741890 1779350 1799953 1814937 1826175 1862418 1873950 1899222 1914250 1952535 1964625 1974142 2042125 2069665 2123810 2154750 2206394 2226575 2264457 2282375 2313155 2373670 2388075 2408250 2436135 2450550 2483598 2488525 2503250 2569125 2669025 2671890 2729350 2738850 2760953 2775786 2871375 2903150 2961213 2986230 3024895 3043625 3085771 3104030 3123250 3149250 3165370 3185715 3254225 3309591 3384394 3508129 3560505 3599906 3629874 3652350 3754875 3774095 3905070 3929250 3980125 4035239 4060225 4084250 4094025 4139330 4354725 4448375 4453150 4528914 4564750 4626310 4656045 4684875 4748055 4776150 4872270 4935355 4977050 5076591 5138250 5309525 5338050 5381129 5399859 5515985 5521906 5742750 5922426 5934175 6014203 6049790 6087250 6126375 6171542 6208995 6371430 6508450 6619182 6679725 6823375 6847125 6939465 7016258 7121010 7257875 7465575 7509750 7548190 7760075 7864727 7913425 7960250 8070478 8120450 8188050 8282859 8460985 8709450 8896750 8999765 9074685 9130875 9257313 9312090 9369750 9496110 9762675 9812647 9870710 10153182 10348325 10524387 10619050 10762258 10799718 11031970 11132875 11322285 11565775 11868350 11940375 12028406 12105717 12180675 12252750 12417990 12442625 12831923 13345125 13359450 13646750 13694250 13804765 13878930 14341561 14515750 14806065 14931150 15124475 15428855 15520150 15729454 15826850 15928575 16143387 16271125 16547955 16565718 16921970 17540645 17802525 17999530 18042609 18149370 18261750 18514626 18754349 18870475 19525350 19625294 20176195 20301125 20470125 20696650 21048774 21773625 22265750 22644570 23131550 23280225 23399389 23594181 23740275 23880750 24211434 24361350 24676775 24885250 25382955 25663846 26547625 26690250 26905645 26999295 27579925 27609530 28683122 29437941 29612130 29670875 30071015 30248950 30599201 30857710 31044975 31857150 32286774 32542250 33095910 33398625 34199107 34697325 35081290 35605050 36085218 37327875 37508698 37740950 38495769 38800375 39323635 39567125 40352390 40602250 40940250 41414295 42304925 43024683 43547250 44998825 45373425 45605677 46286565 46560450 46798778 47188362 47480550 48813375 49063235 49353550 50765910 51741625 52458107 52621935 53095250 53811290 53998590 55159850 56263047 56611425 57828875 58875882 59341750 59638193 60142030 60528585 60903375 61198402 62089950 64159615 66654451 66797250 68398214 69023825 69394650 70198167 71707805 74030325 74655750 75622375 76991538 77144275 77600750 78647270 79134250 79642875 80716935 82739775 82828590 84609850 86049366 87703225 89012625 89997650 90213045 90746850 91211354 91797603 92573130 93771745 94352375 97626750 98126470 100880975 102241451 102597321 103483250 104916214 105243870 108751999 112526094 113222850 115657750 116401125 116996945 117970905 118701375 119276386 121057170 121806750 123383875 126914775 128319230 133308902 134528225 134996475 136817031 137899625 138047650 140396334 143415610 147189705 148060650 150355075 151244750 152996005 154288550 155224875 157374321 159285750 161433870 165479550 166814999 170995535 173486625 175406450 178025250 178914579 180426090 183595206 186440293 187543490 188704750 192478845 196618175 199963353 201761950 204482902 205194642 207071475 211524625 215123415 217503998 224994125 226867125 228028385 231432825 232802250 233993890 235941810 237402750 243806537 245316175 246767750 253829550 262290535 263109675 269056450 269992950 273634062 275799250 281315235 283057125 294379410 298190965 300710150 302642925 304192057 305992010 306724353 310449750 314748642 320798075 326255997 333272255 333629998 341991070 345119125 346973250 350990835 357829158 358539025 370151625 372880586 384957690 385721375 393236350 397789613 399926706 403584675 413698875 414142950 423049250 430246830 438516125 444588391 449988250 451065225 453734250 456056770 458988015 462865650 468858725 487613074 490632350 500444997 504404875 511207255 512986605 524581070 526219350 543759995 559320879 562630470 566114250 581384819 584984725 589854525 592873801 596381930 605285850 608384114 613448706 634573875 641596150 652511994 666544510 672641125 674982375 684085155 690238250 701981670 717078050 731419611 735948525 740303250 751775375 764980025 771442750 775296509 786871605 795579226 807169350 827397750 834074995 854977675 866507863 877032250 889176782 894572895 902130450 912576171 917976030 932201465 937717450 962394225 983090875 999816765 1000889994 1008809750 1022414510 1025973210 1035357375 1075617075 1087519990 1118641758 1133125667 1140141925 1157164125 1162769638 1169969450 1179709050 1185747602 1193368839 1219032685 1226580875 1269147750 1311452675 1315548375 1333765173 1345282250 1349964750 1368170310 1406576175 1413775987 1462839222 1471897050 1490954825 1503550750 1513214625 1520960285 1529960050 1533621765 1550593018 1573743210 1603990375 1631279985 1666361275 1668149990 1709955350 1733015726 1744154457 1754954175 1778621403 1789145790 1792695125 1825152342 1848783983 1864402930 1924788450 1966181750 1988948065 1999633530 2017923375 2066287981 2070714750 2151234150 2222941955 2255326125 2266251334 2280283850 2294940075 2314328250 2325889527 2344293625 2386737678 2438065370 2453161750 2502224985 2556036275 2564933025 2599523589 2622905350 2631096750 2667530346 2718799975 2796604395 2813152350 2827551974 2906924095 2924923625 2949272625 2964369005 2981909650 3026429250 3041920570 3067243530 3169484981 3207980750 3262559970 3332722550 3371311969 3399377001 3420425775 3488308914 3509908350 3557242806 3585390250 3657098055 3679742625 3697567966 3824900125 3876482545 3934358025 3977896130 4035846750 4132575962 4170374975 4241327961 4274888375 4332539315 4445883910 4472864475 4510652250 4562880855 4589880150 4651779054 4661007325 4688587250 4811971125 4999083825 5004449970 5112072550 5129866050 5171264969 5199047178 5378085375 5437599950 5546351949 5593208790 5665628335 5700709625 5779649083 5813848190 5849847250 5898545250 5928738010 5966844195 6095163425 6198863943 6338969962 6557263375 6668825865 6742623938 6798754002 6840851550 7032880875 7068879935 7314196110 7359485250 7454774125 7558002647 7604801425 7649800250 7668108825 7752965090 7868716050 8156399925 8331806375 8340749950 8482655922 8549776750 8665078630 8720772285 8774770875 8893107015 8945728950 9125761710 9243919915 9322014650 9508454943 9623942250 9944740325 9998167650 10078854617 10113935907 10331439905 10342529938 10756170750 11092703898 11114709775 11264602219 11331256670 11401419250 11474700375 11559298166 11629447635 11933688390 12190326850 12397727886 12511124925 12780181375 12824665125 12997617945 13114526750 13337651730 13593999875 13983021975 14065761750 14137759870 14534620475 14730633671 14821845025 14909548250 15116005294 15209602850 15336217650 15513794907 15847424905 16312799850 16663612750 16856559845 16996885005 17102128875 17338947249 17441544570 17549541750 17786214030 18285490275 18379087831 18487839830 19016909886 19382412725 19671790125 19889480650 20157709234 20227871814 20662879810 20851874875 21206639805 21662696575 22229419550 22364322375 22529204438 22674007941 22814404275 22949400750 23258895270 23305036625 24034191779 24995419125 25022249850 25560362750 25649330250 25856324845 25995235890 26861743753 27187999750 27731759745 27966043950 28328141675 28898245415 29069240950 29461267342 29643690050 29834220975 30236563851 30475817125 30994319715 31027589814 31694849810 33344129325 33713119690 33793806657 33993770010 34204257750 34677894498 35126895677 35344399675 36570980550 36758175662 37790013235 38024007125 38340544125 38764825450 39343580250 40781999625 41703749750 42413279610 43325393150 43603861425 43827055597 44191901013 44465535075 44728644750 45348015882 45628808550 46219599575 46610073250 47542274715 48068383558 49723701625 49990838250 50394273085 50569679535 51657199525 51712649690 53723487506 55137263493 55463519490 55573548875 56323011095 56656283350 57312303473 57796490830 58147238175 59668441950 60473127702 60951634250 61988639430 62555624625 64054927411 64988089725 66688258650 67587613314 69915109875 70253791354 70688799350 72102575337 72673102375 73653168355 74109225125 75580026470 76048014250 76681088250 77568974535 79237124525 80585231259 81563999250 84282799225 84984425025 86694736245 87207722850 87654111194 88383802026 88931070150 91427451375 91895439155 92439199150 95084549430 96912063625 98254034411 99447403250 100788546170 101139359070 103314399050 105380687031 106033199025 108313482875 110274526986 111147097750 112646022190 113370039705 114072021375 114624606946 116294476350 120170958895 125111249250 128109854822 129281624225 129976179450 131481166791 134308718765 138658798725 139830219750 141640708375 144205150674 144491227075 145346204750 147306336710 148218450250 149171104875 151182819255 154971598575 155137949070 158474249050 161170462518 166720646625 168565598450 168969033285 169968850050 171936910419 173389472490 175634478385 176721998375 182854902750 183790878310 188950066175 191498237723 192164782233 193824127250 196508068822 210761374062 212066398050 216626965750 218019307125 219135277985 220959505065 222327675375 226740079410 228144042750 231097997875 237711373575 240341917790 251971365425 252848397675 258285997625 258563248450 262962333582 268617437530 275686317465 277317597450 281615055475 283281416750 286561517365 288982454150 290736190875 294762103233 298342209750 302365638510 309943197150 312444493127 320274637055 324940448625 333441293250 337938066570 343873820838 349202668789 351268956770 353443996750 360512876685 368265841775 377900132350 382996475446 384329564466 387844872675 396185622625 402926156295 421413996125 424922125125 433473681225 436038614250 438270555970 441919010130 444655350750 456649643801 459477195775 462195995750 475422747150 491270172055 503942730850 505696795350 516571995250 526903435155 530165995125 551372634930 563230110950 566850198525 569751722761 573123034730 574494713169 581472381750 589524206466 600854794475 624888986254 640549274110 646408121125 649880897250 657405833955 671543593825 693293993625 698405337578 721025753370 722456135375 736531683550 745059945149 755914096275 774857992875 775689745350 792371245250 805852312590 832714056343 842827992250 844845166425 849844250250 859684552095 866947362450 878172391925 913299287602 918954391550 937333479381 944750330875 957491188615 960823911165 982540344110 1047608006367 1053806870310 1060331990250 1088933765987 1095676389925 1104797525325 1133700397050 1139503445522 1148989426338 1188556867875 1201709588950 1259856827125 1264241988375 1292816242250 1314811667910 1343087187650 1369948931403 1378431587325 1386587987250 1408075277375 1432807586825 1444912270750 1473810516165 1490119890298 1511828192550 1549715985750 1562222465635 1601373185275 1665428112686 1689690332850 1709255168283 1719369104190 1746013343945 1756344783850 1802564383425 1841329208875 1874666958762 1889500661750 1914982377230 1921647822330 1939224363375 2014630781475 2095216012734 2167368406125 2177867531974 2191352779850 2209595050650 2235179835447 2283248219005 2297385978875 2377113735750 2456350860275 2498142169029 2519713654250 2528483976750 2634517175775 2739897862806 2756863174650 2816150554750 2834250992625 2848758613805 2865615173650 2872473565845 2947621032330 3004273972375 3124444931270 3202746370550 3266801297961 3287029169775 3357717969125 3418510336566 3492026687890 3605128766850 3682658417750 3725299725745 3779570481375 3878448726750 4029261562950 4163570281715 4224225832125 4298422760475 4334736812250 4390861959625 4470359670894 4566496438010 4594771957750 4686667396905 4787455943075 4804119555825 4912701720550 4996284338058 5238040031835 5269034351550 5444668829935 5478381949625 5523987626625 5668501985250 5697517227610 5744947131690 5936445369413 6008547944750 6533602595922 6574058339550 6715435938250 6849744657015 6892157936625 7164037934125 7369052580825 7450599451490 7559140962750 7811112328175 8006865926375 8327140563430 8448451664250 8546275841415 8596845520950 8730066719725 8781723919250 9012821917125 9373334793810 9574911886150 9608239111650 9685779286937 10073153907375 10476080063670 10825282732459 10889337659870 10956763899250 11047975253250 11175899177235 11416241095025 11872890738826 12281754301375 12490710845145 13172585878875 13699489314030 13784315873250 14156138957831 14243793069025 14328075868250 14362367829225 14738105161650 15622224656350 16013731852750 16334006489805 16435145848875 17092551682830 17460133439450 17809336108239 18025643834250 18626498628725 19371558573874 20146307814750 20817851408575 21492113802375 21650565464918 22351798354470 22832482190050 23433336984525 23937279715375 24020597779125 24563508602750 24981421690290 26190200159175 26345171757750 27223344149675 28312277915662 28487586138050 28724735658450 29057337860811 29682226847065 32475848197377 32668012979610 32870291697750 34248723285075 35618672216478 36845262904125 37252997257450 39055561640875 41635702817150 42468416873493 42731379207075 42984227604750 43650333598625 46866673969050 47874559430750 48041195558250 48428896434685 52380400318350 54126413662295 54446688299350 55879495886175 57081205475125 58114675721622 59364453694130 62453554225725 64951696394754 68497446570150 70780694789155 71218965345125 71811839146125 73690525808250 78111123281750 81670032449025 84936833746986 85462758414150 87300667197250 89046680541195 93132493143625 96857792869370 104089257042875 108252827324590 111758991772350 114162410950250 117166684922625 124907108451450 130951000795875 136116720748375 141561389578310 142437930690250 143623678292250 145286689304055 148411134235325 162379240986885 163340064898050 171243616425375 178093361082390 184029806451803 186264986287250 208178514085750 212342084367465 213656896035375 234333369845250 242144482173425 261902001591750 270632068311475 272233441496750 279397479430875 290573378608110 296822268470650 312267771128625 324758481973770 342487232850750 353903473945775 368059612903606 408350162245125 424684168734930 427313792070750 445233402705975 484288964346850 541264136622950 552089419355409 558794958861750 624535542257250 707806947891550 726433446520275 742055671176625 811896204934425 816700324490250 890466805411950 920149032259015 1061710421837325 1104178838710818 1210722410867125 1353160341557375 1452866893040550 1484111342353250 1623792409868850 1769517369728875 1840298064518030 2123420843674650 2226167013529875 2421444821734250 2706320683114750 2760447096777045 3539034739457750 3632167232601375 4059481024672125 4452334027059750 4600745161295075 5308552109186625 5520894193554090 7264334465202750 8118962049344250 9201490322590150 10617104218373250 13802235483885225 23003725806475375 27604470967770450 46007451612950750 69011177419426125 138022354838852250
- Sum of all divisors σ(n): 429849247757005440
- Sum of proper divisors (its aliquot sum) s(n): 291826892918153190
- 138022354838852250 is an abundant number, because the sum of its proper divisors (291826892918153190) is greater than itself. Its abundance is 153804538079300940
Bases of 138022354838852250
- Binary: 1111010100101101010011001101101110011101110010010100110102
- Hexadecimal: 0x1EA5A99B73B929A
- Base-36: 11R0UAH3GE56
Squares and roots of 138022354838852250
- 138022354838852250 squared (1380223548388522502) is 19050170435262041110066097330062500
- 138022354838852250 cubed (1380223548388522503) is 2629349383556349853359138373859784611166920765625000
-
The
square root of 138022354838852250 is 371513599.8033615051 -
The
cube root of 138022354838852250 is 516792.8275863577
Scales and comparisons
How big is 138022354838852250?- 138,022,354,838,852,250 seconds is equal to 4,388,683,952 years, 36 weeks, 3 days, 17 minutes, 30 seconds.
-
To count from 1 to 138,022,354,838,852,250 would take you about thirteen billion, one hundred sixty-six million, fifty-one thousand, eight hundred fifty-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 138022354838852250 cubic inches would be around 43066.1 feet tall.
Recreational maths with 138022354838852250
- 138022354838852250 backwards is 052258838453220831
- The number of decimal digits it has is: 18
- The sum of 138022354838852250's digits is 69
- More coming soon!
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Cite this page
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"Number 138022354838852250 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138022354838852250 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138022354838852250/
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Numbermatics. 2024. "Number 138022354838852250 - Facts about the integer". https://numbermatics.com/n/138022354838852250/
The information we have on file for 138022354838852250 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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