138331830595968360
138,331,830,595,968,360 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138331830595968360 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
138331830595968360 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138331830595968360:
23 × 32 × 5 × 13 × 61 × 113 × 127 × 439 × 76913
(2 × 2 × 2 × 3 × 3 × 5 × 13 × 61 × 113 × 127 × 439 × 76913)See below for interesting mathematical facts about the number 138331830595968360 from the Numbermatics database.
Names of 138331830595968360
- Cardinal: 138331830595968360 can be written as One hundred thirty-eight quadrillion, three hundred thirty-one trillion, eight hundred thirty billion, five hundred ninety-five million, nine hundred sixty-eight thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3833183059596836 × 1017
Factors of 138331830595968360
Divisors of 138331830595968360
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 61 65 72 78 90 104 113 117 120 122 127 130 156 180 183 195 226 234 244 254 260 305 312 339 360 366 381 390 439 452 468 488 508 520 549 565 585 610 635 678 732 762 780 793 878 904 915 936 1016 1017 1098 1130 1143 1170 1220 1270 1317 1356 1464 1469 1524 1560 1586 1651 1695 1756 1830 1905 2034 2195 2196 2260 2286 2340 2379 2440 2540 2634 2712 2745 2938 3048 3172 3302 3390 3512 3660 3810 3951 3965 4068 4390 4392 4407 4520 4572 4680 4758 4953 5080 5085 5268 5490 5707 5715 5876 6344 6585 6604 6780 6893 7137 7320 7345 7620 7747 7902 7930 8136 8255 8780 8814 9144 9516 9906 10170 10536 10980 11414 11430 11752 11895 13170 13208 13221 13560 13786 14274 14351 14690 14859 15240 15494 15804 15860 16510 17121 17560 17628 19032 19755 19812 20340 20679 21960 22035 22828 22860 23241 23790 24765 26340 26442 26779 27572 28535 28548 28702 29380 29718 30988 31608 31720 33020 34242 34465 35256 35685 38735 39510 39624 40680 41358 43053 44070 45656 45720 46482 47580 49530 49607 51363 52680 52884 53558 55144 55753 57070 57096 57404 58760 59436 61976 62037 66040 66105 68484 68930 69723 71370 71755 74295 76913 77470 79020 80337 82716 85605 86106 88140 89609 92964 95160 99060 99214 100711 102726 103395 105768 107116 111506 114140 114808 116205 118872 124074 129159 132210 133895 136968 137860 139446 142740 143510 148590 148821 153826 154940 158040 160674 165432 167259 171210 172212 176280 179218 185928 186563 198120 198428 201422 205452 206790 214232 215265 223012 228280 230739 232410 241011 248035 248148 256815 258318 264420 267790 268827 275720 278765 278892 285480 287020 297180 297642 302133 307652 309880 310185 321348 334518 342420 344424 348127 348615 358436 373126 384565 396856 401685 402844 410904 413580 430530 446024 446463 448045 461478 464820 482022 496070 496296 501777 503555 513630 516636 528840 535580 537654 557530 557784 559689 574040 594360 595284 604266 615304 620370 642696 644891 645795 669036 684840 692217 696254 697230 716872 724789 744105 746252 769130 803370 805688 806481 827160 836295 861060 875411 892926 896090 906399 922956 929640 932815 964044 992140 999869 1003554 1007110 1027260 1033272 1044381 1071160 1075308 1115060 1119378 1153695 1190568 1205055 1208532 1240740 1289782 1291590 1338072 1344135 1384434 1392508 1394460 1449578 1488210 1492504 1510665 1538260 1606740 1612962 1672590 1679067 1722120 1740635 1750822 1785852 1792180 1812798 1845912 1865630 1928088 1934673 1984280 1999738 2007108 2014220 2054520 2088762 2150616 2174367 2230120 2232315 2238756 2307390 2410110 2417064 2481480 2508885 2579564 2583180 2626233 2688270 2768868 2785016 2788920 2798445 2899156 2976420 2999607 3021330 3026027 3076520 3133143 3213480 3224455 3225924 3345180 3358134 3400933 3461085 3481270 3501644 3571704 3584360 3623945 3625596 3731260 3869346 3999476 4014216 4028440 4032405 4177524 4348734 4377055 4464630 4477512 4531995 4614780 4691693 4820220 4999345 5017770 5159128 5166360 5221905 5252466 5376540 5537736 5596890 5798312 5804019 5952840 5999214 6042660 6052054 6266286 6300089 6448910 6451848 6523101 6690360 6716268 6801866 6922170 6962540 7003288 7247890 7251192 7462520 7738692 7878699 7998952 8064810 8355048 8395335 8691169 8697468 8754110 8929260 8998821 9063990 9078081 9229560 9383386 9640440 9673365 9767951 9998690 10035540 10202799 10443810 10504932 10753080 10871835 11193780 11380343 11608038 11998428 12085320 12104108 12532572 12600178 12897820 13046202 13131165 13432536 13603732 13844340 13925080 14075079 14495780 14998035 15130135 15477384 15665715 15757398 16129620 16790670 17004665 17382338 17394936 17508220 17858520 17997642 18127980 18156162 18766772 18900267 19346730 19535902 19997380 20071080 20405598 20887620 21009864 21743670 22387560 22760686 23216076 23458465 23996856 24208216 25065144 25200356 25795640 26073507 26092404 26262330 27207464 27234243 27688680 28150158 28991560 29020095 29303853 29996070 30260270 30608397 31331430 31500445 31514796 32259240 32615505 33581340 33764807 34009330 34141029 34764676 35016440 35995284 36255960 36312324 37533544 37800534 38693460 39071804 39338351 39393495 39994760 40811196 41775240 42225237 43455845 43487340 44212129 44994105 45390405 45521372 46432152 46916930 48839755 50400712 51013995 52147014 52184808 52524660 54468486 56300316 56700801 56901715 58040190 58607706 59992140 60520540 60992009 61216794 62662860 63000890 63029592 65231010 67162680 67529614 68018660 68282058 69529352 70375395 71990568 72624648 75601068 77386920 78143608 78220521 78676702 78786990 81622392 81901157 84450474 86911690 86974680 87911559 88424258 89988210 90780810 91042744 93833860 94501335 97679510 101294421 102027990 102423087 104294028 105049320 108936972 112600632 112985197 113401602 113803430 116080380 117215412 118015053 119984280 121041080 121984018 122433588 125325720 126001780 126983363 130367535 130462020 132636387 135059228 136037320 136171215 136564116 140750790 146519265 151202136 153041985 156441042 157353404 157573980 163802314 168824035 168900948 170705145 173823380 175823118 176848516 179976420 181561620 182976027 187667720 189002670 195359020 196691755 202588842 204055980 204846174 208588056 211126185 217873944 221060645 225970394 226803204 227606860 232160760 234430824 236030106 243968036 244867176 245703471 252003560 253966726 260735070 260924040 265272774 270118456 272342430 273128232 281501580 283504005 293038530 303883263 304960045 306083970 312882084 314706808 315147960 327604628 337648070 337801896 338955591 341410290 347646760 351646236 353697032 354045159 359952840 363123240 365952054 378005340 380950089 384305429 390718040 391102605 393383510 397909161 405177684 408111960 409505785 409692348 422252370 438942491 439557795 442121290 451940788 453606408 455213720 472060212 487936072 491406942 506472105 507933452 512115435 521470140 530161309 530545548 544684860 548928081 563003160 564925985 567008010 586077060 590075265 595845011 607766526 609920090 612167940 625764168 634916815 655209256 663181935 675296140 677911182 682820580 703292472 708090318 731904108 737110413 756010680 761900178 768610858 782205210 786767020 795818322 810355368 819011570 819384696 844504740 877884982 879115590 884242580 903881576 914880135 944120424 982813884 1012944210 1015866904 1016866773 1024230870 1042940280 1060322618 1061091096 1089369720 1097856162 1103778463 1129851970 1134016020 1142850267 1152916287 1172154120 1180150530 1191690022 1215533052 1219840180 1224335880 1228517355 1269833630 1316827473 1326363870 1350592280 1355822364 1365641160 1416180636 1463808216 1474220826 1519416315 1523800356 1537221716 1564410420 1573534040 1590483927 1591636644 1638023140 1689009480 1694777955 1755769964 1758231180 1768485160 1770225795 1787535033 1829760270 1904750445 1921527145 1965627768 1989545805 2025888420 2033733546 2048461740 2059653227 2120645236 2194712455 2195712324 2207556926 2259703940 2268032040 2285700534 2305832574 2360301060 2383380044 2431066104 2439680360 2457034710 2539667260 2633654946 2650806545 2652727740 2711644728 2744640405 2832361272 2948441652 2979225055 3038832630 3047600712 3074443432 3128820840 3180967854 3183273288 3276046280 3311335389 3389555910 3458748861 3511539928 3516462360 3540451590 3575070066 3659520540 3685552065 3809500890 3815423191 3843054290 3950482419 3979091610 4051776840 4067467092 4096923480 4119306454 4241290472 4288130489 4389424910 4391424648 4415113852 4519407880 4571401068 4611665148 4720602120 4766760088 4771451781 4914069420 4995970577 5079334520 5084333865 5267309892 5301613090 5305455480 5362605099 5489280810 5518892315 5714251335 5764581435 5896883304 5958450110 6077665260 6178959681 6361935708 6584137365 6622670778 6779111820 6892097017 6917497722 7080903180 7150140132 7319041080 7371104130 7619001780 7630846382 7686108580 7745985143 7900964838 7952419635 7958183220 8134934184 8238612908 8576260978 8778849820 8830227704 8937675165 9142802136 9223330296 9542903562 9828138840 9934006167 9991941154 10168667730 10298266135 10534619784 10603226180 10725210198 10978561620 11037784630 11428502670 11446269573 11529162870 11916900220 12155330520 12357919362 12723871416 12864391467 13168274730 13245341556 13558223640 13784194034 13834995444 14161806360 14300280264 14349120019 14742208260 14987911731 15238003560 15261692764 15372217160 15491970286 15801929676 15904839270 15916366440 16477225816 16556676945 17152521956 17293744305 17557699640 17875350330 18536879043 19077115955 19085807124 19752412095 19868012334 19983882308 20337335460 20596532270 20676291051 21206452360 21440652445 21450420396 21957123240 22075569260 22857005340 22892539146 23058325740 23237955429 23833800440 23857258905 24715838724 24979852885 25728782934 26336549460 26490683112 26775491951 26813025495 27568388068 27669990888 28698240038 29484416520 29975823462 30523385528 30894798405 30983940572 31603859352 31809678540 33113353890 34305043912 34338808719 34460485085 34587488610 35750700660 37073758086 38154231910 38171614248 38593174401 38729925715 39504824190 39736024668 39967764616 40674670920 41193064540 41352582102 42881304890 42900840792 43047360057 44151138520 44963735193 45714010680 45785078292 46116651480 46475910858 47714517810 49431677448 49600501483 49670030835 49959705770 51457565868 52673098920 53550983902 53626050990 55136776136 55745696357 57231347865 57396480076 59951646924 61789596810 61967881144 62028873153 63619357080 64321957335 66226707780 67330486243 68677617438 68920970170 69174977220 69713866287 71501401320 71745600095 74147516172 74939558655 76308463820 77186348802 77459851430 79009648380 79472049336 80326475853 82386129080 82705164204 85762609780 86094720114 89927470386 91570156584 92684395215 92951821716 95429035620 99201002966 99340061670 99919411540 102915131736 103381455255 107101967804 107252101980 111491392714 114462695730 114792960152 116189777145 119903293848 123579193620 124057746306 128643914670 129142080171 132453415560 133877459755 134660972486 137355234876 137841940340 138349954440 139427732574 143491200190 148295032344 148801504449 149879117310 152616927640 154372697604 154919702860 158019296760 160652951706 165410328408 167237089071 171525219560 171694043595 172189440228 179854940772 185368790430 185903643432 190858071240 192965872005 198402005932 198680123340 199838823080 201991458729 206762910510 214203935608 214504203960 215236800285 222982785428 224818675965 228925391460 232379554290 232740814651 240979427559 247158387240 248002507415 248115492612 257287829340 258284160342 261575959829 267754919510 269321944972 274710469752 275683880680 278728481785 278855465148 286982400380 297603008898 299758234620 308745395208 309839405720 310144365765 321305903412 334474178142 336652431215 343388087190 344378880456 348569331435 359709881544 370737580860 385931744010 396804011864 397360246680 401632379265 403982917458 413525821020 430473600570 445965570856 446404513347 449637351930 457850782920 464759108580 465481629302 481958855118 484558745257 496005014830 496230985224 501711267213 514575658680 516568320684 523151919658 535509839020 538643889944 557456963570 557710930296 573964800760 595206017796 599516469240 605974376187 620288731530 642611806824 645710400855 668948356284 673304862430 686776174380 697138662870 698222443953 741475161720 744007522245 771863488020 784727879487 803264758530 807965834916 827051642040 836185445355 860947201140 875296321159 892809026694 899274703860 929518217160 930963258604 963917710236 969117490514 992010029660 1003422534426 1009957293645 1033136641368 1046303839316 1071019678040 1114913927140 1163704073255 1190412035592 1204897137795 1211948752374 1240577463060 1291420801710 1307879799145 1337896712568 1346609724860 1373552348760 1394277325740 1396444887906 1453676235771 1488015044490 1543726976040 1569455758974 1606529517060 1615931669832 1672370890710 1721894402280 1750592642318 1785618053388 1798549407720 1861926517208 1927835420472 1938234981028 1984020059320 2006845068852 2019914587290 2092607678632 2094667331859 2229827854280 2232022566735 2327408146510 2354183638461 2409794275590 2422793726285 2423897504748 2481154926120 2508556336065 2582841603420 2615759598290 2625888963477 2693219449720 2788554651480 2792889775812 2907352471542 2976030088980 3025630590463 3029871880935 3138911517948 3213059034120 3344741781420 3400487477777 3491112219765 3501185284636 3571236106776 3876469962056 3923639397435 4013690137704 4039829174580 4189334663718 4361028707313 4376481605795 4464045133470 4654816293020 4708367276922 4819588551180 4845587452570 4847795009496 5017112672130 5165683206840 5231519196580 5251777926954 5585779551624 5814704943084 5952060177960 6051261180926 6059743761870 6277823035896 6299263688341 6689483562840 6800974955554 6982224439530 7002370569272 7268381178855 7847278794870 7877666890431 8079658349160 8378669327436 8722057414626 8752963211590 8928090266940 9076891771389 9309632586040 9416734553844 9639177102360 9691174905140 10034225344260 10201462433331 10463038393160 10473336659295 10503555853908 11629409886168 11770918192305 12102522361852 12119487523740 12598527376682 13129444817385 13601949911108 13964448879060 14536762357710 15128152952315 15694557589740 15755333780862 16757338654872 17002437388885 17444114829252 17505926423180 17856180533880 18153783542778 18833469107688 18897791065023 19382349810280 20068450688520 20402924866662 20946673318590 21007111707816 21805143536565 23541836384610 24205044723704 24238975047480 25197054753364 26258889634770 27203899822216 27230675314167 27928897758120 29073524715420 29558083460677 30256305904630 30604387299993 31389115179480 31496318441705 31510667561724 34004874777770 34888229658504 35011852846360 36307567085556 37795582130046 39388334452155 40805849733324 41893346637180 43610287073130 45384458856945 47083672769220 50394109506728 51007312166655 52517779269540 54461350628334 56693373195069 58147049430840 59116166921354 60512611809260 61208774599986 62992636883410 63021335123448 68009749555540 72615134171112 75591164260092 78776668904310 81611699466648 83786693274360 87220574146260 88674250382031 90768917713890 94167345538440 94488955325115 102014624333310 105035558539080 108922701256668 113386746390138 118232333842708 121025223618520 122417549199972 125985273766820 136019499111080 136153376570835 147790417303385 151182328520184 153021936499965 157553337808620 174441148292520 177348500764062 181537835427780 188977910650230 204029248666620 217845402513336 226773492780276 236464667685416 244835098399944 251970547533640 266022751146093 272306753141670 283466865975345 295580834606770 306043872999930 315106675617240 354697001528124 363075670855560 377955821300460 384255084988801 408058497333240 443371251910155 453546985560552 532045502292186 544613506283340 566933731950690 591161669213540 612087745999860 709394003056248 755911642600920 768510169977602 886742503820310 1064091004584372 1089227012566680 1133867463901380 1152765254966403 1182323338427080 1224175491999720 1330113755730465 1537020339955204 1773485007640620 1921275424944005 2128182009168744 2267734927802760 2305530509932806 2660227511460930 3074040679910408 3458295764899209 3546970015281240 3842550849888010 4611061019865612 5320455022921860 5763826274832015 6916591529798418 7685101699776020 9222122039731224 10640910045843720 11527652549664030 13833183059596836 15370203399552040 17291478824496045 23055305099328060 27666366119193672 34582957648992090 46110610198656120 69165915297984180 138331830595968360
- Sum of all divisors σ(n): 501508712588083200
- Sum of proper divisors (its aliquot sum) s(n): 363176881992114840
- 138331830595968360 is an abundant number, because the sum of its proper divisors (363176881992114840) is greater than itself. Its abundance is 224845051396146480
Bases of 138331830595968360
- Binary: 1111010110111010000010001001001111100110101011101011010002
- Hexadecimal: 0x1EB741127CD5D68
- Base-36: 11U2JHOATCA0
Squares and roots of 138331830595968360
- 138331830595968360 squared (1383318305959683602) is 19135695356031688076975886121089600
- 138331830595968360 cubed (1383318305959683603) is 2647075768326633928471076444268798573100530325056000
-
The
square root of 138331830595968360 is 371929873.2233918851 -
The
cube root of 138331830595968360 is 517178.7927544967
Scales and comparisons
How big is 138331830595968360?- 138,331,830,595,968,360 seconds is equal to 4,398,524,324 years, 26 weeks, 2 days, 6 minutes.
-
To count from 1 to 138,331,830,595,968,360 would take you about thirteen billion, one hundred ninety-five million, five hundred seventy-two thousand, nine hundred seventy-three 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 138331830595968360 cubic inches would be around 43098.2 feet tall.
Recreational maths with 138331830595968360
- 138331830595968360 backwards is 063869595038133831
- The number of decimal digits it has is: 18
- The sum of 138331830595968360's digits is 81
- 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 138331830595968360 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138331830595968360 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138331830595968360/
Chicago style:
Numbermatics. 2024. "Number 138331830595968360 - Facts about the integer". https://numbermatics.com/n/138331830595968360/
The information we have on file for 138331830595968360 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 138331830595968360, math, Factors of 138331830595968360, curriculum, school, college, exams, university, Prime factorization of 138331830595968360, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred thirty-one trillion, eight hundred thirty billion, five hundred ninety-five million, nine hundred sixty-eight thousand, three hundred sixty.