138107994394404528
138,107,994,394,404,528 is an even composite number composed of five prime numbers multiplied together.
138107994394404528 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138107994394404528:
24 × 33 × 136 × 312 × 413
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 31 × 31 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138107994394404528 from the Numbermatics database.
Names of 138107994394404528
- Cardinal: 138107994394404528 can be written as One hundred thirty-eight quadrillion, one hundred seven trillion, nine hundred ninety-four billion, three hundred ninety-four million, four hundred four thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38107994394404528 × 1017
Factors of 138107994394404528
Divisors of 138107994394404528
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 41 48 52 54 62 72 78 82 93 104 108 117 123 124 144 156 164 169 186 208 216 234 246 248 279 312 328 338 351 369 372 403 432 468 492 496 507 533 558 624 656 676 702 738 744 806 837 936 961 984 1014 1066 1107 1116 1209 1271 1352 1404 1476 1488 1521 1599 1612 1674 1681 1872 1922 1968 2028 2132 2197 2214 2232 2418 2542 2704 2808 2883 2952 3042 3198 3224 3348 3362 3627 3813 3844 4056 4264 4394 4428 4464 4563 4797 4836 5043 5084 5239 5616 5766 5904 6084 6396 6448 6591 6696 6724 6929 7254 7626 7688 8112 8528 8649 8788 8856 9126 9594 9672 10086 10168 10478 10881 11439 11532 12168 12493 12792 13182 13392 13448 13858 14391 14508 15129 15252 15376 15717 16523 17298 17576 17712 18252 19188 19344 19773 20172 20336 20787 20956 21762 21853 22878 23064 24336 24986 25584 25947 26364 26896 27716 28561 28782 29016 30258 30504 31434 33046 34317 34596 35152 36504 37479 38376 39401 39546 40344 41574 41912 43524 43706 45387 45756 46128 47151 49569 49972 51894 52111 52728 55432 57122 57564 58032 59319 60516 61008 62361 62868 65559 66092 68107 68634 68921 69192 73008 74958 76752 78802 79092 80688 83148 83824 85683 87048 87412 90077 90774 91512 94302 99138 99944 103788 104222 105456 110864 112437 114244 115128 118203 118638 121032 124722 125736 131118 132184 136214 137268 137842 138384 141453 148707 149916 156333 157604 158184 162409 166296 171366 174096 174824 180154 181548 183024 187083 188604 196677 198276 199888 204321 206763 207576 208444 214799 224874 228488 230256 236406 237276 242064 249444 251472 257049 262236 264368 270231 272428 274536 275684 282906 284089 297414 299832 312666 315208 316368 324818 332592 337311 342732 349648 354609 360308 363096 371293 374166 377208 393354 396552 408642 413526 415152 416888 429598 446121 449748 456976 468999 472812 474552 487227 498888 512213 514098 524472 540462 544856 549072 551368 565812 568178 590031 594828 599664 612963 620289 625332 630416 644397 649636 674622 677443 685464 709218 720616 726192 742586 748332 754416 771147 786708 793104 810693 817284 827052 833776 852267 859196 885391 892242 895973 899496 937998 945624 949104 974454 997776 1024426 1028196 1048944 1063827 1080924 1089712 1102736 1113879 1131624 1136356 1171001 1180062 1189656 1225926 1240578 1250664 1288794 1299272 1349244 1354886 1370928 1406997 1418436 1441232 1461681 1485172 1496664 1536639 1542294 1573416 1615441 1621386 1634568 1654104 1704534 1718392 1770782 1784484 1791946 1798992 1838889 1860867 1875996 1891248 1933191 1948908 2032329 2048852 2056392 2111317 2127654 2136551 2161848 2227758 2263248 2272712 2342002 2360124 2379312 2432079 2451852 2481156 2501328 2556801 2577588 2598544 2656173 2687919 2698488 2709772 2792387 2813994 2836872 2923362 2970344 2993328 3073278 3084588 3146832 3230882 3242772 3269136 3308208 3341637 3409068 3436784 3513003 3541564 3568968 3583892 3677778 3693157 3721734 3751992 3866382 3897816 4064658 4097704 4112784 4222634 4255308 4273102 4323696 4385043 4455516 4545424 4609917 4684004 4720248 4826809 4846323 4864158 4903704 4962312 5113602 5155176 5312346 5375838 5396976 5419544 5584774 5627988 5673744 5799573 5846724 5940688 6096987 6146556 6169176 6333951 6409653 6461764 6485544 6658769 6683274 6818136 7026006 7083128 7137936 7167784 7355556 7386314 7443468 7503984 7670403 7732764 7795632 7968519 8063757 8129316 8195408 8377161 8445268 8510616 8546204 8770086 8806759 8911032 9219834 9368008 9440496 9653618 9692646 9728316 9807408 9924624 10024911 10227204 10310352 10539009 10624692 10751676 10839088 11079471 11169548 11255976 11510083 11599146 11647649 11693448 12193974 12293112 12338352 12667902 12819306 12923528 12971088 13317538 13366548 13636272 13829751 14052012 14166256 14335568 14480427 14538969 14711112 14772628 14886936 15223013 15340806 15465528 15937038 16127514 16258632 16754322 16890536 17021232 17092408 17540172 17613518 17822064 18290961 18439668 18736016 19001853 19228959 19307236 19385292 19456632 19976307 20049822 20454408 21000733 21078018 21249384 21503352 22158942 22339096 22511952 23020166 23198292 23295298 23386896 23905557 24191271 24387948 24586224 25131483 25335804 25638612 25847056 26420277 26635076 26733096 27447121 27659502 27775163 28104024 28960854 29077938 29422224 29545256 29773872 30446026 30681612 30931056 31617027 31874076 32255028 32517264 33238413 33508644 33781072 34184816 34530249 34942947 35080344 35227036 36301031 36581922 36879336 38003706 38457918 38614472 38770584 38913264 39952614 40099644 40908816 42001466 42156036 42498768 43006704 43441281 43616907 44317884 44678192 45669039 46040332 46396584 46590596 47811114 48011041 48382542 48775896 50262966 50671608 51277224 52840554 53270152 53466192 54894242 55319004 55550326 56208048 57005559 57686877 57921708 58155876 59090512 59928921 60892052 61363224 63002199 63234054 63748152 64510056 66233081 66476826 67017288 69060498 69885894 70160688 70454072 72602062 73163844 73758672 75394449 76007412 76915836 77228944 77541168 79260831 79905228 80199288 82341363 83325489 84002932 84312072 86563997 86882562 87233814 88635768 91338078 92080664 92793168 93181192 95622228 96022082 96765084 97551792 99715239 100525932 101343216 102554448 103590747 104828841 105681108 106540304 108903093 109788484 110638008 111100652 114011118 114487867 115373754 115843416 116311752 119857842 121784104 122726448 126004398 126468108 127496304 129020112 130323843 132466162 132953652 134034576 137007117 138120996 139771788 140908144 144033123 145204124 146327688 149631079 150788898 151419437 152014824 153831672 158521662 159810456 160398576 164682726 166650978 168005864 168624144 173127994 173765124 174467628 177271536 179786763 182676156 184161328 186362384 189006597 191244456 192044164 193530168 197899169 198699243 199430478 201051864 207181494 209657682 211362216 217806186 219576968 221276016 222201304 228022236 228975734 230747508 231686832 232623504 237782493 239715684 243568208 247024089 249976467 252008796 252936216 259691991 260647686 264932324 265907304 273009529 274014234 276241992 279543576 288066246 290408248 292655376 299262158 301577796 302838874 304029648 307663344 310772241 314486523 317043324 319620912 326709279 329365452 333301956 336011728 343463601 346255988 347530248 348935256 356812573 359573526 361077119 365352312 378013194 382488912 384088328 387060336 395798338 397398486 398860956 402103728 411021351 414362988 419315364 422724432 432099369 435612372 439153936 444402608 448893237 454258311 456044472 457951468 461495016 471913403 475564986 479431368 494048178 499952934 504017592 505872432 519383982 521295372 529864648 531814608 546019058 548028468 552483984 559087152 567019791 576132492 580816496 593697507 596097729 598524316 603155592 605677748 621544482 624143533 628973046 634086648 653418558 658730904 666603912 686927202 692511976 695060496 697870512 713625146 719147052 722154238 730704624 741072267 749929401 756026388 768176656 779075973 791596676 794796972 797721912 819028587 822042702 828725976 838630728 861030053 864198738 871224744 897786474 908516622 912088944 915902936 922990032 943826806 951129972 958862736 980127837 988096356 999905868 1008035184 1030390803 1038767964 1042590744 1059729296 1070437719 1083231357 1092038116 1096056936 1125331961 1134039582 1152264984 1187395014 1192195458 1197048632 1206311184 1211355496 1243088964 1248287066 1257946092 1268173296 1296298107 1306837116 1317461808 1333207824 1346679711 1362774933 1373854404 1385023952 1415740209 1427250292 1438294104 1444308476 1482144534 1488342271 1499858802 1512052776 1558151946 1583193352 1589593944 1595443824 1638057174 1644085404 1657451952 1677261456 1722060106 1728397476 1742449488 1781092521 1788293187 1795572948 1817033244 1831805872 1872430599 1887653612 1902259944 1960255674 1968452681 1976192712 1999811736 2060781606 2077535928 2085181488 2140875438 2166462714 2184076232 2192113872 2250663922 2268079164 2304529968 2337227919 2374790028 2384390916 2394097264 2422710992 2457085761 2486177928 2496574132 2515892184 2583090159 2592596214 2613674232 2693359422 2725549866 2747708808 2831480418 2854500584 2876588208 2888616952 2964289068 2976684542 2999717604 3024105552 3091172409 3116303892 3166386704 3179187888 3211313157 3249694071 3276114348 3288170808 3375995883 3444120212 3456794952 3549123877 3562185042 3576586374 3591145896 3634066488 3744861198 3775307224 3804519888 3920511348 3936905362 3952385424 3999623472 4040039133 4088324799 4121563212 4155071856 4247220627 4281750876 4332925428 4368152464 4465026813 4501327844 4536158328 4638563449 4674455838 4694002547 4749580056 4768781832 4914171522 4972355856 4993148264 5031784368 5166180318 5185192428 5227348464 5343277563 5386718844 5451099732 5495417616 5617291797 5662960836 5709001168 5777233904 5905358043 5928578136 5953369084 5999435208 6134874239 6182344818 6232607784 6422626314 6499388142 6552228696 6576341616 6751991766 6888240424 6913589904 7098247754 7124370084 7153172748 7182291792 7268132976 7371257283 7489722396 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22469167188 22651843344 23247811431 23621432172 23813476336 24341597787 24539496956 24729379272 25483323762 25589884853 25690505256 25997552568 26790160878 27007967064 27831380694 28164015282 28392991016 28497480336 28612690992 29258630986 29485029132 29958889584 30383962947 30997081908 31495242896 31942114893 32320313064 32455463716 32706598392 33580172067 33703750782 33977765016 35432148258 35720214504 36809245434 37108507592 37395646704 37552020376 38535757884 38696899046 38996328852 39313372176 40185241317 40511950596 41329442544 41747071041 42246022923 42589486524 42746220504 43887946479 44773562756 44938334376 46138610401 46495622862 47242864344 48683195574 49078993912 49458758544 50966647524 51179769706 51381010512 51995105136 53148222387 53580321756 54015934128 55213868151 55662761388 56328030564 56785982032 58045348569 58517261972 58970058264 60767925894 61022033111 61994163816 63884229786 64640626128 64910927432 65413196784 67160344134 67407501564 67955530032 70864296516 71440429008 73024793361 73618490868 74217015184 75104040752 76769654559 77071515768 77393798092 77992657704 80370482634 81023901192 83494142082 84492045846 85178973048 85492441008 87775892958 89547125512 89876668752 92277220802 92991245724 94485728688 95826344679 97366391148 98157987824 100740516201 101933295048 102359539412 106296444774 107160643512 110427736302 111325522776 112656061128 116090697138 117034523944 117940116528 121535851788 122044066222 123988327632 125241213123 126738068769 127768459572 129821854864 131663839437 134320688268 134815003128 138415831203 141728593032 145514078957 146049586722 147236981736 153539309118 154143031536 154787596184 155985315408 160740965268 162047802384 165641604453 166988284164 168984091692 170357946096 174136045707 175551785916 179094251024 183066099333 184554441604 185982491448 190181101409 191652689358 194732782296 201481032402 203866590096 204719078824 212592889548 214321287024 219074380083 220855472604 222651045552 225312122256 230308963677 232181394276 234069047888 243071703576 244088132444 250482426246 251529843799 253476137538 255536919144 263327678874 268641376536 269630006256 276831662406 283457186064 291028157914 292099173444 294473963472 302221548603 307078618236 309575192368 321481930536 331283208906 332668503089 333976568328 337968183384 348272091414 351103571832 366132198666 369108883208 371964982896 380362202818 383305378716 389465564592 394991518311 402962064804 409438157648 415247493609 425185779096 436542236871 438148760166 441710945208 460617927354 464362788552 486143407152 488176264888 500964852492 503059687598 506952275076 511073838288 522408137121 526655357748 537282753072 549198297999 553663324812 570543304227 582056315828 584198346888 599801935213 604443097206 614157236472 642963861072 662566417812 665337006178 667953136656 675936366768 690926891031 696544182828 702207143664 732264397332 738217766416 754589531397 760724405636 766610757432 789983036622 793286430443 805924129608 830494987218 850371558192 873084473742 876297520332 883421890416 921235854708 928725577104 976352529776 998005509267 1001929704984 1006119375196 1013904550152 1044816274242 1053310715496 1098396595998 1107326649624 1141086608454 1164112631656 1168396693776 1199603870426 1208886194412 1228314472944 1245742480827 1309626710613 1325132835624 1330674012356 1381853782062 1393088365656 1464528794664 1509179062794 1521448811272 1533221514864 1579966073244 1586572860886 1611848259216 1647594893997 1660989974436 1711629912681 1746168947484 1752595040664 1799405805639 1842471709416 1891683026441 1996011018534 2003859409968 2012238750392 2027809100304 2089632548484 2106621430992 2196793191996 2214653299248 2263768594191 2282173216908 2328225263312 2379859291329 2399207740852 2417772388824 2491484961654 2619253421226 2650265671248 2661348024712 2763707564124 2786176731312 2929057589328 2994016527801 3018358125588 3042897622544 3159932146488 3173145721772 3295189787994 3321979948872 3423259825362 3492337894968 3505190081328 3598811611278 3684943418832 3783366052882 3928880131839 3992022037068 4024477500784 4179265096968 4393586383992 4527537188382 4564346433816 4759718582658 4798415481704 4835544777648 4982969923308 5134889738043 5238506842452 5322696049424 5398217416917 5527415128248 5675049079323 5988033055602 6036716251176 6319864292976 6346291443544 6590379575988 6643959897744 6791305782573 6846519650724 6984675789936 7139577873987 7197623222556 7566732105764 7797425157769 7857760263678 7984044074136 8358530193936 8787172767984 8982049583403 9055074376764 9128692867632 9519437165316 9596830963408 9965939846616 10269779476086 10312723595759 10477013684904 10796434833834 11054830256496 11350098158646 11976066111204 12073432502352 12692582887088 13180759151976 13582611565146 13693039301448 14279155747974 14395246445112 15133464211528 15594850315538 15715520527356 15968088148272 16194652250751 17025147237969 17964099166806 18110148753528 19038874330632 19931879693232 20539558952172 20625447191518 20954027369808 21418733621961 21592869667668 22700196317292 23392275473307 23952132222408 24591879343733 26361518303952 27165223130292 27386078602896 28558311495948 28790492890224 30266928423056 30938170787277 31189700631076 31431041054712 32389304501502 34050294475938 35928198333612 36220297507056 38077748661264 41079117904344 41250894383036 42837467243922 43185739335336 45400392634584 46784550946614 47904264444816 49183758687466 51075441713907 54330446260584 57116622991896 61876341574554 62379401262152 62862082109424 64778609003004 68100588951876 70176826419921 71856396667224 73775638031199 82158235808688 82501788766072 85674934487844 86371478670672 90800785269168 92814512361831 93569101893228 98367517374932 102150883427814 108660892521168 114233245983792 123752683149108 124758802524304 129557218006008 136201177903752 140353652839842 143712793334448 147551276062398 165003577532144 171349868975688 185629024723662 187138203786456 196735034749864 204301766855628 210530479259763 221326914093597 247505366298216 259114436012016 272402355807504 278443537085493 280707305679684 295102552124796 319694431468529 342699737951376 371258049447324 374276407572912 393470069499728 408603533711256 421060958519526 442653828187194 495010732596432 556887074170986 561414611359368 590205104249592 639388862937058 663980742280791 742516098894648 817207067422512 842121917039052 885307656374388 959083294405587 1113774148341972 1122829222718736 1180410208499184 1278777725874116 1327961484561582 1485032197789296 1684243834078104 1770615312748776 1918166588811174 2227548296683944 2557555451748232 2655922969123164 2877249883216761 3368487668156208 3541230625497552 3836333177622348 4455096593367888 5115110903496464 5311845938246328 5754499766433522 7672666355244696 8631749649650283 10623691876492656 11508999532867044 15345332710489392 17263499299300566 23017999065734088 34526998598601132 46035998131468176 69053997197202264 138107994394404528
- Sum of all divisors σ(n): 454850240519233440
- Sum of proper divisors (its aliquot sum) s(n): 316742246124828912
- 138107994394404528 is an abundant number, because the sum of its proper divisors (316742246124828912) is greater than itself. Its abundance is 178634251730424384
Bases of 138107994394404528
- Binary: 1111010101010100001111101001110101000010100100110101100002
- Hexadecimal: 0x1EAA87D3A8526B0
- Base-36: 11RV74QROLO0
Squares and roots of 138107994394404528
- 138107994394404528 squared (1381079943944045282) is 19073818115644872528748595706902784
- 138107994394404528 cubed (1381079943944045283) is 2634246765395373592389941248718611771699114865405952
-
The
square root of 138107994394404528 is 371628839.5622768779 -
The
cube root of 138107994394404528 is 516899.6913322499
Scales and comparisons
How big is 138107994394404528?- 138,107,994,394,404,528 seconds is equal to 4,391,407,025 years, 34 weeks, 4 days, 15 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,107,994,394,404,528 would take you about thirteen billion, one hundred seventy-four million, two hundred twenty-one thousand and seventy-six 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 138107994394404528 cubic inches would be around 43075 feet tall.
Recreational maths with 138107994394404528
- 138107994394404528 backwards is 825404493499701831
- The number of decimal digits it has is: 18
- The sum of 138107994394404528's digits is 81
- More coming soon!
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MLA style:
"Number 138107994394404528 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138107994394404528 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138107994394404528/
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Numbermatics. 2024. "Number 138107994394404528 - Facts about the integer". https://numbermatics.com/n/138107994394404528/
The information we have on file for 138107994394404528 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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