138220918829136
138,220,918,829,136 is an even composite number composed of five prime numbers multiplied together.
What does the number 138220918829136 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1500 divisors.
138220918829136 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred divisors.
Prime factorization of 138220918829136:
24 × 39 × 112 × 134 × 127
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 13 × 127)See below for interesting mathematical facts about the number 138220918829136 from the Numbermatics database.
Names of 138220918829136
- Cardinal: 138220918829136 can be written as One hundred thirty-eight trillion, two hundred twenty billion, nine hundred eighteen million, eight hundred twenty-nine thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.38220918829136 × 1014
Factors of 138220918829136
Divisors of 138220918829136
- Number of divisors d(n): 1500
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 81 88 99 104 108 117 121 127 132 143 144 156 162 169 176 198 208 216 234 242 243 254 264 286 297 312 324 338 351 363 381 396 429 432 468 484 486 507 508 528 572 594 624 648 676 702 726 729 762 792 858 891 936 968 972 1014 1016 1053 1089 1143 1144 1188 1287 1296 1352 1397 1404 1452 1458 1521 1524 1573 1584 1651 1716 1782 1859 1872 1936 1944 2028 2032 2106 2178 2187 2197 2286 2288 2376 2574 2673 2704 2794 2808 2904 2916 3042 3048 3146 3159 3267 3302 3429 3432 3564 3718 3861 3888 4056 4191 4212 4356 4374 4394 4563 4572 4719 4752 4953 5148 5346 5577 5588 5616 5808 5832 6084 6096 6292 6318 6534 6561 6591 6604 6858 6864 7128 7436 7722 8019 8112 8382 8424 8712 8748 8788 9126 9144 9438 9477 9801 9906 10287 10296 10692 11154 11176 11583 11664 12168 12573 12584 12636 13068 13122 13182 13208 13689 13716 14157 14256 14859 14872 15367 15444 16038 16731 16764 16848 17424 17496 17576 18161 18252 18288 18876 18954 19602 19683 19773 19812 20449 20574 20592 21384 21463 22308 22352 23166 24057 24167 24336 25146 25168 25272 26136 26244 26364 26416 27378 27432 28314 28431 28561 29403 29718 29744 30734 30861 30888 32076 33462 33528 34749 34992 35152 36322 36504 37719 37752 37908 39204 39366 39546 39624 40898 41067 41148 42471 42768 42926 44577 44616 46101 46332 48114 48334 50193 50292 50544 52272 52488 52728 54483 54756 54864 56628 56862 57122 58806 59319 59436 61347 61468 61722 61776 64152 64389 66924 67056 69498 72171 72501 72644 73008 75438 75504 75816 78408 78732 79092 79248 81796 82134 82296 84942 85293 85683 85852 88209 89154 89232 92202 92583 92664 96228 96668 100386 100584 104247 104976 105456 108966 109512 113157 113256 113724 114244 117612 118638 118872 122694 122936 123201 123444 127413 128304 128778 133731 133848 138303 138996 144342 145002 145288 150579 150876 151632 156816 157464 158184 163449 163592 164268 164592 169884 170586 171366 171704 176418 177957 178308 184041 184404 185166 185328 192456 193167 193336 199771 200772 201168 208494 216513 217503 217932 219024 226314 226512 227448 228488 235224 236093 237276 237744 245388 245872 246402 246888 254826 255879 257049 257556 264627 265837 267462 267696 276606 277749 277992 279019 288684 290004 290576 301158 301752 312741 314171 314928 316368 326898 327184 328536 339471 339768 341172 342732 343408 352836 355914 356616 368082 368808 369603 370332 382239 384912 386334 386672 399542 401193 401544 414909 416988 433026 435006 435864 451737 452628 454896 456976 470448 472186 474552 490347 490776 492804 493776 509652 511758 514098 515112 529254 531674 533871 534924 552123 553212 555498 555984 558038 577368 579501 580008 599313 602316 603504 625482 628342 652509 653796 657072 678942 679536 682344 685464 705672 708279 711828 713232 736164 737616 739206 740664 764478 771147 772668 793881 797511 799084 802386 803088 829818 833247 833976 837057 866052 870012 871728 903474 905256 938223 942513 944372 949104 980694 981552 985608 1018413 1019304 1023516 1028196 1030224 1058508 1063348 1067742 1069848 1104246 1106424 1108809 1110996 1116076 1146717 1154736 1159002 1160016 1198626 1203579 1204632 1244727 1250964 1256684 1305018 1307592 1355211 1357884 1364688 1370928 1411344 1416558 1423656 1471041 1472328 1478412 1481328 1528956 1542294 1545336 1587762 1595022 1598168 1601613 1604772 1656369 1659636 1666494 1667952 1674114 1732104 1738503 1740024 1797939 1806948 1810512 1876446 1885026 1888744 1957527 1961388 1971216 2036826 2038608 2047032 2056392 2117016 2124837 2126696 2135484 2139696 2208492 2212848 2217618 2221992 2232152 2293434 2313441 2318004 2381643 2392533 2397252 2407158 2409264 2489454 2499741 2501928 2511171 2513368 2597023 2610036 2615184 2710422 2715768 2814669 2827539 2833116 2847312 2942082 2944656 2956824 3055239 3057912 3069209 3084588 3090672 3175524 3190044 3196336 3203226 3209544 3312738 3319272 3326427 3332988 3348228 3440151 3455881 3464208 3477006 3480048 3595878 3610737 3613896 3627247 3734181 3752892 3770052 3777488 3915054 3922776 4065633 4073652 4094064 4112784 4234032 4249674 4253392 4270968 4413123 4416984 4435236 4443984 4464304 4586868 4626882 4636008 4763286 4785066 4794504 4804839 4814316 4969107 4978908 4999482 5003856 5022342 5026736 5194046 5215509 5220072 5393817 5420844 5431536 5629338 5655078 5666232 5872581 5884164 5913648 6110478 6115824 6138418 6169176 6351048 6374511 6380088 6406452 6419088 6625476 6638544 6652854 6665976 6696456 6880302 6911762 6940323 6954012 7177599 7191756 7221474 7227792 7254494 7468362 7505784 7533513 7540104 7791069 7830108 7845552 8131266 8147304 8482617 8499348 8541936 8826246 8833968 8870472 9165717 9173736 9207627 9253764 9272016 9526572 9570132 9589008 9609678 9628632 9938214 9957816 9998964 10044684 10320453 10367643 10388092 10431018 10440144 10787634 10832211 10841688 10881741 11202543 11258676 11310156 11332464 11745162 11768328 12196899 12220956 12276836 12338352 12702096 12749022 12760176 12812904 13239369 13250952 13305708 13331952 13392912 13760604 13823524 13880646 13908024 14355198 14383512 14414517 14442948 14508988 14907321 14936724 15011568 15067026 15080208 15582138 15646527 15660216 16181451 16262532 16294608 16965234 16998696 17617743 17652492 17740944 18331434 18347472 18415254 18507528 19053144 19123533 19140264 19219356 19257264 19876428 19915632 19997928 20089368 20640906 20735286 20776184 20820969 20862036 21532797 21575268 21664422 21683376 21763482 22405086 22517352 22600539 22620312 23373207 23490324 23536656 24393798 24441912 24553672 25447851 25498044 25625808 26478738 26501904 26611416 27497151 27521208 27622881 27647048 27761292 27816048 28710396 28767024 28829034 28885896 29017976 29814642 29873448 30134052 30961359 31102929 31164276 31293054 31320432 32362902 32496633 32525064 32645223 33607629 33761299 33930468 33997392 35235486 35304984 36590697 36662868 36830508 37015056 38106288 38247066 38280528 38438712 39718107 39752856 39899717 39995856 40178736 41281812 41470572 41552368 41641938 41724072 43065594 43150536 43243551 43328844 43526964 44721963 44810172 45034704 45201078 45240624 46746414 46939581 46980648 48544353 48787596 48883824 49107344 50895702 50996088 52853229 52957476 53222832 54994302 55042416 55245762 55294096 55522584 57370599 57420792 57658068 57771792 58035952 59629284 59746896 60268104 61922718 62205858 62328552 62462907 62586108 64598391 64725804 64993266 65050128 65290446 67215258 67522598 67801617 67860936 70119621 70470972 70609968 73181394 73325736 73661016 76343553 76494132 76877424 79436214 79505712 79799434 82563624 82868643 82941144 83283876 83448144 86131188 86301072 86487102 86657688 87053928 89443926 89620344 90402156 93308787 93492828 93879162 93961296 97088706 97575192 97935669 100822887 101283897 101791404 101992176 105706458 105914952 109988604 110491524 111045168 114741198 114841584 115316136 119154321 119258568 119699151 120536208 123845436 124411716 124657104 124925814 125172216 129196782 129451608 129986532 130580892 134165889 134430516 135045196 135603234 135721872 140239242 140818743 140941944 145633059 146362788 146651472 147322032 152687106 152988264 158559687 158872428 159598868 165127248 165737286 165882288 166567752 172111797 172262376 172974204 173315376 174107856 178887852 179240688 180804312 186617574 186985656 187388721 187758324 193795173 194177412 195150384 195871338 201645774 202567794 203404851 203582808 210358863 211412916 211829904 219977208 220983048 229030659 229482396 230632272 238308642 238517136 239398302 247690872 248605929 248823432 249851628 250344432 258393564 258903216 259973064 261161784 268331778 268861032 270090392 271206468 279926361 280478484 281637486 281883888 291266118 292725576 293807007 302468661 303851691 305374212 305976528 317119374 317744856 319197736 331474572 333135504 344223594 344524752 345948408 357462963 357775704 359097453 361608624 373235148 373971312 374777442 375516648 387590346 388354824 391742676 402497667 403291548 405135588 406809702 407165616 420717726 422456229 422825832 436899177 438896887 439954416 441966096 458061318 458964792 475679061 476617284 478796604 495381744 497211858 497646864 499703256 516335391 516787128 519946128 522323568 536663556 537722064 540180784 542412936 559852722 560956968 562166163 563274972 581385519 582532236 585451152 587614014 604937322 607703382 610214553 610748424 631076589 634238748 635489712 638395472 662949144 687091977 688447188 691896816 714925926 715551408 718194906 745817787 746470296 749554884 751033296 775180692 776709648 783485352 804995334 806583096 810271176 813619404 839779083 841435452 844912458 845651664 873798354 877793774 881421021 911555073 916122636 917929584 951358122 953234568 957593208 994423716 999406512 1032670782 1033574256 1073327112 1077292359 1084825872 1119705444 1121913936 1124332326 1126549944 1162771038 1165064472 1175228028 1209874644 1215406764 1220429106 1221496848 1262153178 1268477496 1310697531 1316690661 1325898288 1374183954 1376894376 1429851852 1436389812 1491635574 1492940592 1499109768 1549006173 1550361384 1566970704 1609990668 1613166192 1620542352 1627238808 1679558166 1682870904 1689824916 1744156557 1747596708 1755587548 1762842042 1823110146 1830643659 1832245272 1893229767 1902716244 1906469136 1915186416 1988847432 2061275931 2065341564 2146654224 2154584718 2237453361 2239410888 2248664652 2253099888 2325542076 2330128944 2350456056 2419749288 2430813528 2440858212 2519337249 2524306356 2536954992 2621395062 2633381322 2644263063 2734665219 2748367908 2753788752 2859703704 2872779624 2983271148 2998219536 3098012346 3100722768 3219981336 3231877077 3254477616 3359116332 3365741808 3379649832 3488313114 3495193416 3511175096 3525684084 3646220292 3661287318 3664490544 3786459534 3805432488 3932092593 3950071983 3977694864 4122551862 4130683128 4309169436 4474906722 4478821776 4497329304 4647018519 4651084152 4700912112 4839498576 4861627056 4881716424 5038674498 5048612712 5232469671 5242790124 5266762644 5288526126 5469330438 5491930977 5496735816 5679689301 5719407408 5745559248 5966542296 6183827793 6196024692 6439962672 6463754154 6712360083 6718232664 6759299664 6976626228 6990386832 7022350192 7051368168 7292440584 7322574636 7558011747 7572919068 7610864976 7864185186 7900143966 7932789189 8203995657 8245103724 8261366256 8618338872 8949813444 8994658608 9294037038 9302168304 9695631231 9763432848 10077348996 10097225424 10464939342 10485580248 10533525288 10577052252 10938660876 10983861954 10993471632 11359378602 11850215949 11933084592 12367655586 12392049384 12927508308 13424720166 13436465328 13953252456 14102736336 14584881168 14645149272 15116023494 15145838136 15728370372 15800287932 15865578378 16407991314 16490207448 17039067903 17236677744 17899626888 18588074076 19391262462 20137080249 20154697992 20929878684 20971160496 21067050576 21154104504 21877321752 21967723908 22674035241 22718757204 23700431898 23798367567 24611986971 24735311172 24784098768 25855016616 26849440332 27906504912 29086893693 29290298544 30232046988 30291676272 31456740744 31600575864 31731156756 32815982628 32980414896 34078135806 35550647847 35799253776 37176148152 38782524924 40274160498 40309395984 41859757368 42308209008 43754643504 43935447816 45348070482 45437514408 47400863796 47596735134 49223973942 49470622344 51117203709 51710033232 53698880664 58173787386 60411240747 60464093976 62913481488 63201151728 63462313512 65631965256 68022105723 68156271612 71101295694 71395102701 73835960913 74352296304 77565049848 80548320996 83719514736 87260681079 87870895632 90696140964 90875028816 94801727592 95193470268 98447947884 98941244688 102234407418 106651943541 107397761328 116347574772 120822481494 120928187952 126924627024 131263930512 136044211446 136312543224 142202591388 142790205402 147671921826 155130099696 161096641992 174521362158 181392281928 189603455184 190386940536 196895895768 204468814836 213303887082 221507882739 232695149544 241644962988 261782043237 272088422892 272625086448 284405182776 285580410804 295343843652 319955830623 322193283984 349042724316 362784563856 380773881072 393791791536 408937629672 426607774164 443015765478 465390299088 483289925976 523564086474 544176845784 568810365552 571160821608 590687687304 639911661246 664523648217 698085448632 785346129711 817875259344 853215548328 886031530956 959867491869 966579851952 1047128172948 1088353691568 1142321643216 1181375374608 1279823322492 1329047296434 1396170897264 1570692259422 1706431096656 1772063061912 1919734983738 2094256345896 2559646644984 2658094592868 2879602475607 3141384518844 3544126123824 3839469967476 4188512691792 5119293289968 5316189185736 5759204951214 6282769037688 7678939934952 8638807426821 10632378371472 11518409902428 12565538075376 15357879869904 17277614853642 23036819804856 34555229707284 46073639609712 69110459414568 138220918829136
- Sum of all divisors σ(n): 482095243818496
- Sum of proper divisors (its aliquot sum) s(n): 343874324989360
- 138220918829136 is an abundant number, because the sum of its proper divisors (343874324989360) is greater than itself. Its abundance is 205653406160224
Bases of 138220918829136
- Binary: 111110110110110000100001100010001110000010100002
- Hexadecimal: 0x7DB610C47050
- Base-36: 1CZTTAB900
Squares and roots of 138220918829136
- 138220918829136 squared (1382209188291362) is 19105022401970602821162506496
- 138220918829136 cubed (1382209188291363) is 2640713750651603585234769215785479314067456
-
The
square root of 138220918829136 is 11756739.2940872855 -
The
cube root of 138220918829136 is 51704.0534503483
Scales and comparisons
How big is 138220918829136?- 138,220,918,829,136 seconds is equal to 4,394,997 years, 35 weeks, 2 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,220,918,829,136 would take you about ten million, nine hundred eighty-seven thousand, four hundred ninety-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 138220918829136 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138220918829136
- 138220918829136 backwards is 631928819022831
- The number of decimal digits it has is: 15
- The sum of 138220918829136's digits is 63
- 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 138220918829136 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 138220918829136 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138220918829136/
Chicago style:
Numbermatics. 2024. "Number 138220918829136 - Facts about the integer". https://numbermatics.com/n/138220918829136/
The information we have on file for 138220918829136 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 138220918829136, math, Factors of 138220918829136, curriculum, school, college, exams, university, Prime factorization of 138220918829136, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred twenty billion, nine hundred eighteen million, eight hundred twenty-nine thousand, one hundred thirty-six.