137838852746266504
137,838,852,746,266,504 is an even composite number composed of six prime numbers multiplied together.
What does the number 137838852746266504 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
137838852746266504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137838852746266504:
23 × 72 × 173 × 192 × 241 × 9072
(2 × 2 × 2 × 7 × 7 × 17 × 17 × 17 × 19 × 19 × 241 × 907 × 907)See below for interesting mathematical facts about the number 137838852746266504 from the Numbermatics database.
Names of 137838852746266504
- Cardinal: 137838852746266504 can be written as One hundred thirty-seven quadrillion, eight hundred thirty-eight trillion, eight hundred fifty-two billion, seven hundred forty-six million, two hundred sixty-six thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37838852746266504 × 1017
Factors of 137838852746266504
Divisors of 137838852746266504
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 241 266 289 323 361 392 476 482 532 578 646 722 833 907 931 952 964 1064 1156 1292 1444 1666 1687 1814 1862 1928 2023 2261 2312 2527 2584 2888 3332 3374 3628 3724 4046 4097 4522 4579 4913 5054 5491 6137 6349 6664 6748 7256 7448 8092 8194 9044 9158 9826 10108 10982 11809 12274 12698 13496 14161 15419 15827 16184 16388 17233 17689 18088 18316 19652 20216 21964 23618 24548 25396 28322 28679 30838 31654 32053 32776 34391 34466 35378 36632 38437 39304 42959 43928 44443 47236 49096 50792 56644 57358 61676 63308 64106 68782 68932 69649 70756 76874 77843 85918 87001 88886 93347 94472 104329 107933 113288 114716 120631 123352 126616 128212 137564 137864 139298 141512 153748 155686 171836 174002 177772 186694 200753 208658 215866 218587 224371 229432 240737 241262 256424 262123 269059 275128 278596 292961 300713 307496 311372 327427 343672 348004 355544 373388 401506 417316 431732 437174 448742 481474 482524 487543 524246 538118 544901 557192 585922 601426 609007 622744 653429 654854 696008 730303 746776 755531 803012 822649 834632 844417 863464 874348 897484 962948 965048 975086 1048492 1076236 1089802 1171844 1184033 1202852 1218014 1306858 1309708 1323331 1460606 1479017 1511062 1530109 1606024 1645298 1688834 1748696 1773593 1794968 1834861 1925896 1950172 2050727 2096984 2152472 2179604 2291989 2343688 2368066 2405704 2436028 2613716 2619416 2646662 2921212 2958034 3022124 3060218 3290596 3377668 3412801 3547186 3669722 3715979 3814307 3900344 4101454 4153153 4263049 4359208 4456091 4574003 4583978 4736132 4872056 4980337 5112121 5227432 5293324 5566259 5758543 5842424 5916068 6044248 6120436 6581192 6755336 6825602 7094372 7339444 7431958 7628614 8202908 8288231 8306306 8526098 8912182 9148006 9167956 9263317 9472264 9960674 10224242 10353119 10586648 10710763 11132518 11517086 11832136 12240872 12415151 12844027 13651204 13985033 14188744 14355089 14678888 14863916 15257228 15630331 16043923 16405816 16576462 16612612 17052196 17824364 18296012 18335912 18526634 19921348 20448484 20706238 21421526 22265036 22496627 23034172 24830302 25143289 25688054 26011853 27302408 27970066 28710178 29072071 29727832 30514456 31192637 31260662 32087846 33152924 33225224 34104392 34862359 35648728 36592024 37053268 38963813 39842696 40309801 40896968 41412476 42843052 44530072 44993254 46068344 49660604 50286578 51376108 52023706 55940132 57420356 58017617 58144142 62385274 62521324 63171643 64175692 64843219 66305848 69724718 70603601 72471833 74106536 77927626 78909907 80619602 82824952 84665729 85686104 86906057 89986508 94626403 97895231 99321208 100573156 102752216 104047412 109412317 111880264 114840712 116035234 116288284 124770548 125042648 126343286 128351384 129686438 139449436 141207202 144943666 155855252 157476389 157819814 161239204 169331458 173812114 176003023 179973016 182082971 189252806 195790462 198258409 201146312 203504497 208094824 218348459 218824634 232070468 232576568 237745561 244036513 249541096 252686572 259372876 265715627 272746691 278898872 282414404 289887332 296976289 311710504 314952778 315639628 322478408 338662916 347624228 352006046 364165942 378505612 391580924 396516818 407008994 427435913 436696918 437649268 442201501 464140936 475491122 488073026 494225207 505373144 518745752 531431254 545493382 552369349 564828808 579774664 592660103 593952578 629905556 631279256 662384821 677325832 685266617 695248456 704012092 728331884 757011224 765886219 783161848 793033636 814017988 854871826 873393836 875298536 884403002 950982244 976146052 988450414 1062862508 1073917931 1090986764 1102334723 1104738698 1185320206 1187905156 1200261217 1232021161 1259811112 1324769642 1341468419 1370533234 1387808863 1408024184 1456663768 1531772438 1586067272 1608648851 1628035976 1664218927 1709743652 1746787672 1768806004 1860009389 1901964488 1952292104 1976900828 2078834023 2125725016 2147835862 2181973528 2204669446 2209477396 2370640412 2375810312 2400522434 2464042322 2649539284 2682936838 2741066468 2775617726 2992051391 3063544876 3095410507 3217297702 3328437854 3370392953 3419487304 3459576449 3537612008 3720018778 3766909771 3866585443 3953801656 4041674537 4148620721 4157668046 4295671724 4409338892 4418954792 4517165659 4636693747 4741280824 4801044868 4928084644 5048596913 5299078568 5365873676 5482132936 5551235452 5984102782 6127089752 6190821014 6434595404 6656875708 6740785906 6919152898 7440037556 7517425517 7533819542 7733170886 8083349074 8297241442 8315336092 8401828519 8591343448 8818677784 9034331318 9273387494 9390278933 9602089736 9714662041 9856169288 10097193826 10731747352 11102470904 11260541957 11649532489 11968205564 12381642028 12869190808 13020065723 13313751416 13481571812 13838305796 14551838161 14880075112 15034851034 15067639084 15466341772 16166698148 16594482884 16630672184 16803657038 18068662636 18546774988 18780557866 19429324082 20194387652 20404440689 20944359737 22521083914 22804963123 23299064978 23592750671 23936411128 24763284056 26040131446 26368368397 26963143624 27676611592 28291721759 29103676322 30069702068 30135278168 30932683544 31620159613 32333396296 33188965768 33607314076 35340178391 36137325272 37093549976 37561115732 38858648164 40388775304 40808881378 41888719474 45042167828 45609926246 46598129956 47185501342 52080262892 52621978619 52736736794 56583443518 57296680201 58207352644 58812799633 60139404136 63240319226 64037466107 65731952531 67214628152 70680356782 71571285649 75122231464 76791816203 77717296328 78823793699 81617762756 83777438948 85826147521 90084335656 91219852492 93196259912 94371002684 104160525784 105243957238 105473473588 113166887036 114593360402 116414705288 117625599266 126480638452 128074932214 131463905062 141360713564 142831084823 143142571298 153583632406 157647587398 159634741861 163235525512 165149254697 167554877896 171652295042 182439704984 184578578779 188742005368 198042052313 210487914476 210946947176 221341117291 226333774072 229186720804 235251198532 247381248737 252961276904 256149864428 262927810124 282721427128 285662169646 286285142596 307167264812 315295174796 319269483722 330298509394 343304590084 369157157558 387684373091 396084104626 401076761407 420975828952 442682234582 448262262749 458373441608 470502397064 494762497474 500998999543 512299728856 525855620248 537542713421 571324339292 572570285192 600783032647 614334529624 630590349592 638538967444 660597018788 686609180168 738314315116 775368746182 792168209252 802153522814 885364469164 896524525498 974043563417 989524994948 999817593761 1001997999086 1075085426842 1088636923819 1117443193027 1142648678584 1201566065294 1216711856033 1277077934888 1321194037576 1459044507857 1476628630232 1550737492364 1584336418504 1604307045628 1770728938328 1793049050996 1948087126834 1979049989896 1999635187522 2003995998172 2150170853684 2177273847638 2234886386054 2403132130588 2433423712066 2713790611637 2807537329849 2918089015714 3101474984728 3137835839243 3208614091256 3506992996801 3586098101992 3762798993947 3896174253668 3999270375044 4007991996344 4205481228529 4300341707368 4354547695276 4469772772108 4806264261176 4866847424132 5427581223274 5615074659698 5836178031428 6275671678486 6818304943919 7013985993602 7525597987894 7620458466733 7792348507336 7998540750088 8410962457058 8516982992231 8709095390552 8939545544216 9733694848264 10213311554999 10855162446548 11230149319396 11672356062856 12551343356972 13636609887838 14027971987204 15051195975788 15240916933466 16821924914116 17033965984462 18506827704923 18996534281459 20426623109998 20684101552561 21710324893096 22460298638792 25102686713944 27273219775676 28055943974408 30102391951576 30481833866932 33643849828232 34067931968924 37013655409846 37993068562918 40853246219996 41368203105122 47728134607433 53343209267131 54546439551352 59618880945617 60963667733864 68135863937848 71493180884993 74027310819692 75986137125836 81706492439992 82736406210244 95456269214866 106686418534262 119237761891234 129547793934461 142986361769986 144788710867927 148054621639384 151972274251672 165472812420488 190912538429732 213372837068524 238475523782468 259095587868922 285972723539972 289577421735854 351629726393537 381825076859464 426745674137048 476951047564936 518191175737844 571945447079944 579154843471708 703259452787074 906834557541227 1013520976075489 1036382351475688 1158309686943416 1406518905574148 1813669115082454 2027041952150978 2461408084754759 2813037811148296 3627338230164908 4054083904301956 4922816169509518 7254676460329816 8108167808603912 9845632339019036 17229856593283313 19691264678038072 34459713186566626 68919426373133252 137838852746266504
- Sum of all divisors σ(n): 338899261380233400
- Sum of proper divisors (its aliquot sum) s(n): 201060408633966896
- 137838852746266504 is an abundant number, because the sum of its proper divisors (201060408633966896) is greater than itself. Its abundance is 63221555887700392
Bases of 137838852746266504
- Binary: 1111010011011001110110100110011100011000001000111100010002
- Hexadecimal: 0x1E9B3B4CE304788
- Base-36: 11P7SMRZEVT4
Squares and roots of 137838852746266504
- 137838852746266504 squared (1378388527462665042) is 18999549326406940951740510992382016
- 137838852746266504 cubed (1378388527462665043) is 2618876081848033279012962142473141684344129712792064
-
The
square root of 137838852746266504 is 371266552.1512360855 -
The
cube root of 137838852746266504 is 516563.6989464801
Scales and comparisons
How big is 137838852746266504?- 137,838,852,746,266,504 seconds is equal to 4,382,849,153 years, 39 weeks, 5 days, 16 hours, 15 minutes, 4 seconds.
-
To count from 1 to 137,838,852,746,266,504 would take you about thirteen billion, one hundred forty-eight million, five hundred forty-seven thousand, four hundred sixty-one 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 137838852746266504 cubic inches would be around 43047 feet tall.
Recreational maths with 137838852746266504
- 137838852746266504 backwards is 405662647258838731
- The number of decimal digits it has is: 18
- The sum of 137838852746266504's digits is 85
- More coming soon!
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Numbermatics. (2024). Number 137838852746266504 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137838852746266504/
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The information we have on file for 137838852746266504 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 137838852746266504, math, Factors of 137838852746266504, curriculum, school, college, exams, university, Prime factorization of 137838852746266504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, eight hundred thirty-eight trillion, eight hundred fifty-two billion, seven hundred forty-six million, two hundred sixty-six thousand, five hundred four.