138180845732832
138,180,845,732,832 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138180845732832 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138180845732832 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138180845732832:
25 × 34 × 7 × 292 × 53 × 61 × 2801
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 29 × 29 × 53 × 61 × 2801)See below for interesting mathematical facts about the number 138180845732832 from the Numbermatics database.
Names of 138180845732832
- Cardinal: 138180845732832 can be written as One hundred thirty-eight trillion, one hundred eighty billion, eight hundred forty-five million, seven hundred thirty-two thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38180845732832 × 1014
Factors of 138180845732832
Divisors of 138180845732832
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 53 54 56 58 61 63 72 81 84 87 96 106 108 112 116 122 126 144 159 162 168 174 183 189 203 212 216 224 232 244 252 261 288 318 324 336 348 366 371 378 406 424 427 432 464 477 488 504 522 549 567 609 636 648 672 696 732 742 756 783 812 841 848 854 864 928 954 976 1008 1044 1098 1113 1134 1218 1272 1281 1296 1392 1431 1464 1484 1512 1537 1566 1624 1647 1682 1696 1708 1769 1827 1908 1952 2016 2088 2196 2226 2268 2349 2436 2523 2544 2562 2592 2784 2801 2862 2928 2968 3024 3074 3132 3233 3248 3294 3339 3364 3416 3538 3654 3816 3843 4176 4293 4392 4452 4536 4611 4698 4872 4941 5046 5088 5124 5307 5481 5602 5724 5856 5887 5936 6048 6148 6264 6466 6496 6588 6678 6728 6832 7076 7308 7569 7632 7686 8352 8403 8586 8784 8904 9072 9222 9396 9699 9744 9882 10017 10092 10248 10614 10759 10962 11204 11448 11529 11774 11872 12296 12383 12528 12932 13176 13356 13456 13664 13833 14152 14616 15138 15264 15372 15921 16443 16806 17172 17568 17661 17808 18144 18444 18792 19398 19488 19607 19764 20034 20184 20496 21228 21518 21924 22408 22631 22707 22896 23058 23548 24592 24766 25056 25209 25864 26352 26712 26912 27666 28304 29097 29232 30051 30276 30744 31842 32277 32886 33612 34344 34587 35322 35616 36888 37149 37584 38796 39214 39528 40068 40368 40992 41499 42456 43036 43848 44573 44816 45262 45414 45792 46116 47096 47763 49184 49532 50418 51301 51728 52704 52983 53424 55332 56608 58194 58464 58821 60102 60552 61488 63684 64554 65772 67224 67893 68121 68688 69174 70644 73776 74298 75168 75627 77592 78428 79056 80136 80736 81229 82998 84912 86072 87291 87696 89146 89632 90524 90828 92232 93757 94192 95526 96831 99064 100836 102602 103456 105966 106848 110664 111447 116388 117642 120204 121104 122976 124497 127368 129108 131544 133719 134448 135786 136242 137376 138348 141288 143289 147552 148453 148596 151254 153903 155184 156856 158112 158949 160272 162458 165996 169824 170861 172144 174582 175392 176463 178292 181048 181656 184464 187514 188384 191052 193662 198128 201672 203679 205204 211932 221328 222894 226881 232776 235284 240408 242208 243687 248994 254736 258216 261873 263088 267438 268896 271572 272484 276696 281271 282576 286578 290493 296906 297192 302508 307806 310368 312011 313712 317898 320544 324916 331992 334341 341722 344288 349164 352926 356584 359107 362096 363312 368928 375028 382104 387324 396256 401157 403344 407358 410408 423864 442656 445359 445788 453762 461709 465552 470568 476847 480816 487374 497988 509472 512583 516432 523746 526176 529389 534876 543144 544968 553392 562542 565152 568603 573156 580986 593812 594384 605016 611037 615612 624022 627424 635796 649832 656299 663984 668682 683444 698328 705852 713168 718214 724192 726624 731061 750056 764208 774648 802314 806688 814716 820816 843813 847728 871479 890718 891576 907524 923418 931104 936033 941136 953694 961632 974748 995976 1003023 1025166 1032864 1039171 1047492 1058778 1069752 1077321 1086288 1089936 1106784 1125084 1137206 1146312 1161972 1187624 1188768 1196027 1203471 1210032 1222074 1231224 1248044 1271592 1299664 1312598 1327968 1336077 1337364 1366888 1385127 1396656 1411704 1426336 1436428 1462122 1500112 1528416 1537749 1549296 1588167 1604628 1629432 1641632 1687626 1695456 1705809 1742958 1781436 1783152 1815048 1833111 1846836 1872066 1882272 1907388 1949496 1968897 1991952 2006046 2050332 2078342 2094984 2117556 2139504 2154642 2172576 2179872 2193183 2250168 2274412 2292624 2323944 2355641 2375248 2392054 2406942 2420064 2444148 2462448 2496088 2531439 2543184 2599328 2625196 2672154 2674728 2718953 2733776 2770254 2793312 2808099 2823408 2872856 2924244 3000224 3075498 3098592 3117513 3176334 3209256 3231963 3258864 3375252 3411618 3485916 3562872 3566304 3588081 3610413 3630096 3666222 3693672 3744132 3814776 3898992 3937794 3983904 4008231 4012092 4100664 4155381 4156684 4189968 4235112 4279008 4305137 4309284 4386366 4500336 4548824 4585248 4613247 4647888 4711282 4750496 4784108 4813884 4888296 4924896 4954969 4992176 5062878 5086368 5117427 5250392 5344308 5349456 5437906 5467552 5540508 5616198 5646816 5745712 5848488 5906691 6150996 6235026 6352668 6418512 6463926 6517728 6579549 6750504 6823236 6971832 7066923 7125744 7176162 7220826 7260192 7332444 7387344 7488264 7594317 7629552 7797984 7875588 8016462 8024184 8156859 8201328 8310762 8313368 8379936 8424297 8470224 8610274 8618568 8772732 9000672 9055633 9097648 9226494 9295776 9352539 9422564 9568216 9627768 9695889 9776592 9909938 9984352 10125756 10234854 10500784 10688616 10698912 10764243 10875812 11081016 11232396 11491424 11696976 11813382 12024693 12301992 12470052 12705336 12837024 12915411 12927852 13159098 13501008 13646472 13839741 13943664 14133846 14251488 14352324 14441652 14664888 14774688 14864907 14976528 15188634 15259104 15352281 15751176 16032924 16048368 16313718 16402656 16489487 16621524 16626736 16848594 16940448 17220548 17237136 17545464 17720073 18111266 18195296 18452988 18705078 18845128 19032671 19136432 19255536 19391778 19553184 19819876 20251512 20469708 21001568 21200769 21377232 21528486 21751624 22162032 22464792 23393952 23626764 24049386 24470577 24603984 24940104 25272891 25410672 25830822 25855704 26318196 27002016 27166899 27292944 27679482 27887328 28057617 28267692 28704648 28883304 29087667 29329776 29729814 29953056 30135959 30377268 30704562 31502352 32065848 32096736 32292729 32627436 32978974 33243048 33253472 33697188 34441096 34474272 34684783 35090928 35440146 36222532 36905976 37410156 37690256 38065342 38272864 38511072 38746233 38783556 39639752 40503024 40939416 42401538 42754464 43056972 43503248 44324064 44594721 44929584 46056843 47253528 48098772 48941154 49207968 49468461 49880208 50545782 50821344 51661644 51711408 52636392 53160219 54333798 54585888 55358964 56115234 56535384 57098013 57409296 57766608 58175334 58659552 59459628 60271918 60754536 61409124 63004704 63389431 63602307 64131696 64585458 65254872 65957948 66486096 67394376 68882192 69369566 70181856 70880292 72445064 73411731 73811952 74820312 75380512 76130684 77492466 77567112 79279504 81006048 81500697 81878832 84172851 84803076 86113944 87006496 89189442 89859168 90407877 92113686 94507056 96197544 96878187 97882308 98936922 99760416 101091564 103323288 103422816 104054349 105272784 106320438 108667596 110717928 112230468 113070768 114196026 114818592 115533216 116238699 116350668 118919256 120543836 121509072 122818248 124848973 126778862 127204614 128263392 129170916 130509744 131915896 132972192 133784163 134788752 137764384 138739132 141760584 143694101 144890128 146823462 147623904 148405383 149640624 152261368 154984932 155134224 158559008 163001394 163757664 168345702 169606152 171294039 172227888 178378884 180815754 184227372 189014112 190168293 190806921 192395088 193756374 195764616 197873844 202183128 206646576 208108698 210545568 212640876 217335192 220235193 221435856 224460936 226141536 228392052 232477398 232701336 237838512 241087672 243018144 244502091 245636496 249697946 253557724 254409228 258341832 261019488 262613357 263831792 267568326 269577504 271223631 277478264 283521168 287388202 289780256 293646924 296810766 299281248 304522736 309969864 310268448 312163047 326002788 336691404 339212304 342588078 344455776 348716097 356757768 361631508 368454744 374546919 380336586 381613842 384790176 387512748 391529232 395747688 401352489 404366256 413293152 416217396 425281752 431082303 434670384 440470386 442871712 445216149 448921872 456784104 464954796 465402672 475677024 482175344 489004182 491272992 499395892 507115448 508818456 513882117 516683664 525226714 527663584 535136652 542447262 554956528 567042336 570504879 574776404 587293848 593621532 609045472 619939728 624326094 652005576 673382808 678424608 685176156 697432194 713515536 723263016 733506273 736909488 749093838 760673172 763227684 775025496 783058464 787840071 791495376 802704978 808732512 813670893 832434792 850563504 862164606 869340768 873942811 880940772 890432298 897843744 913568208 929909592 930805344 936489141 964350688 978008364 998791784 1005858707 1014230896 1017636912 1027764234 1033367328 1050453428 1070273304 1084894524 1109913056 1123640757 1141009758 1149552808 1174587696 1187243064 1239879456 1248652188 1293246909 1304011152 1335648447 1346765616 1370352312 1394864388 1427031072 1446526032 1467012546 1473818976 1498187676 1521346344 1526455368 1541646351 1550050992 1575680142 1582990752 1605409956 1627341786 1664869584 1701127008 1711514637 1724329212 1747885622 1761881544 1780864596 1827136416 1838293499 1859819184 1872978282 1956016728 1997583568 2011717414 2028461792 2035273824 2055528468 2100906856 2140546608 2169789048 2247281514 2282019516 2299105616 2349175392 2363520213 2374486128 2441012679 2497304376 2586493818 2608022304 2621828433 2671296894 2693531232 2740704624 2789728776 2809467423 2893052064 2934025092 2996375352 3017576121 3042692688 3052910736 3083292702 3100101984 3151360284 3210819912 3254683572 3329739168 3370922271 3423029274 3448658424 3495771244 3523763088 3561729192 3676586998 3719638368 3745956564 3879740727 3912033456 3995167136 4023434828 4111056936 4201813712 4281093216 4339578096 4494563028 4564039032 4598211232 4727040426 4748972256 4882025358 4994608752 5134543911 5172987636 5243656866 5342593788 5481409248 5514880497 5579457552 5618934846 5868050184 5992750704 6035152242 6085385376 6105821472 6166585404 6302720568 6421639824 6509367144 6741844542 6846058548 6897316848 6991542488 7047526176 7090560639 7123458384 7353173996 7491913128 7615787353 7759481454 7824066912 7865485299 8046869656 8222113872 8403627424 8679156192 8989126056 9052728363 9128078064 9454080852 9764050716 9989217504 10112766813 10269087822 10345975272 10487313732 10685187576 11029760994 11158915104 11237869692 11639222181 11736100368 11985501408 12070304484 12333170808 12605441136 12843279648 13018734288 13483689084 13692117096 13794633696 13983084976 14181121278 14246916768 14706347992 14983826256 15231574706 15518962908 15730970598 16093739312 16444227744 16544641491 17978252112 18105456726 18256156128 18908161704 19528101432 20225533626 20538175644 20691950544 20974627464 21271681917 21370375152 22059521988 22475739384 22847362059 23278444362 23472200736 23596455897 24140608968 24666341616 25210882272 26037468576 26967378168 27158185089 27384234192 27966169952 28362242556 29412695984 29967652512 30463149412 31037925816 31461941196 32187478624 33089282982 35956504224 36210913452 37816323408 39056202864 40451067252 41076351288 41383901088 41949254928 42543363834 42740750304 44119043976 44951478768 45694724118 46556888724 47192911794 48281217936 49332683232 49633924473 53310511471 53934756336 54316370178 54768468384 56724485112 58825391968 60926298824 62075851632 62923882392 66178565964 68542086177 70789367691 72421826904 75632646816 78112405728 80902134504 81474555267 82152702576 83898509856 85086727668 88238087952 89902957536 91389448236 93113777448 94385823588 96562435872 99267848946 106621022942 107869512672 108632740356 113448970224 121852597648 124151703264 125847764784 132357131928 137084172354 141578735382 144843653808 148901773419 159931534413 161804269008 162949110534 164305405152 170173455336 176476175904 182778896472 186227554896 188771647176 198535697892 205626258531 213242045884 217265480712 226897940448 243705195296 251695529568 264714263856 274168344708 283157470764 289687307616 297803546838 319863068826 323608538016 325898221068 340346910672 365557792944 372455109792 377543294352 397071395784 411252517062 426484091768 434530961424 479794603239 529428527712 548336689416 566314941528 595607093676 616878775593 639726137652 651796442136 680693821344 731115585888 755086588704 794142791568 822505034124 852968183536 869061922848 959589206478 1096673378832 1132629883056 1191214187352 1233757551186 1279452275304 1303592884272 1439383809717 1588285583136 1645010068248 1705936367072 1919178412956 2193346757664 2265259766112 2382428374704 2467515102372 2558904550608 2607185768544 2878767619434 3290020136496 3838356825912 4318151429151 4764856749408 4935030204744 5117809101216 5757535238868 6580040272992 7676713651824 8636302858302 9870060409488 11515070477736 15353427303648 17272605716604 19740120818976 23030140955472 34545211433208 46060281910944 69090422866416 138180845732832
- Sum of all divisors σ(n): 498296276622144
- Sum of proper divisors (its aliquot sum) s(n): 360115430889312
- 138180845732832 is an abundant number, because the sum of its proper divisors (360115430889312) is greater than itself. Its abundance is 221934585156480
Bases of 138180845732832
- Binary: 111110110101100101111000011100110000011111000002
- Hexadecimal: 0x7DACBC3983E0
- Base-36: 1CZBEJTQ00
Squares and roots of 138180845732832
- 138180845732832 squared (1381808457328322) is 19093946127440715543122740224
- 138180845732832 cubed (1381808457328323) is 2638417624266890489617968635765533243834368
-
The
square root of 138180845732832 is 11755034.9098942281 -
The
cube root of 138180845732832 is 51699.0562767515
Scales and comparisons
How big is 138180845732832?- 138,180,845,732,832 seconds is equal to 4,393,723 years, 24 weeks, 4 days, 3 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,180,845,732,832 would take you about ten million, nine hundred eighty-four thousand, three hundred 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 138180845732832 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138180845732832
- 138180845732832 backwards is 238237548081831
- 138180845732832 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138180845732832'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 138180845732832 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138180845732832 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138180845732832/
Chicago style:
Numbermatics. 2024. "Number 138180845732832 - Facts about the integer". https://numbermatics.com/n/138180845732832/
The information we have on file for 138180845732832 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 138180845732832, math, Factors of 138180845732832, curriculum, school, college, exams, university, Prime factorization of 138180845732832, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty billion, eight hundred forty-five million, seven hundred thirty-two thousand, eight hundred thirty-two.