138522106955232
138,522,106,955,232 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138522106955232 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138522106955232 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138522106955232:
25 × 32 × 7 × 11 × 13 × 313 × 1272
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 31 × 31 × 31 × 127 × 127)See below for interesting mathematical facts about the number 138522106955232 from the Numbermatics database.
Names of 138522106955232
- Cardinal: 138522106955232 can be written as One hundred thirty-eight trillion, five hundred twenty-two billion, one hundred six million, nine hundred fifty-five thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38522106955232 × 1014
Factors of 138522106955232
Divisors of 138522106955232
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 31 32 33 36 39 42 44 48 52 56 62 63 66 72 77 78 84 88 91 93 96 99 104 112 117 124 126 127 132 143 144 154 156 168 176 182 186 198 208 217 224 231 234 248 252 254 264 273 279 286 288 308 312 336 341 352 364 372 381 396 403 416 429 434 462 468 496 504 508 528 546 558 572 616 624 651 672 682 693 728 744 762 792 806 819 858 868 889 924 936 961 992 1001 1008 1016 1023 1056 1092 1116 1143 1144 1209 1232 1248 1287 1302 1364 1386 1397 1456 1488 1524 1584 1612 1638 1651 1716 1736 1778 1848 1872 1922 1953 2002 2016 2032 2046 2184 2232 2286 2288 2387 2418 2464 2574 2604 2667 2728 2772 2794 2821 2883 2912 2976 3003 3048 3069 3168 3224 3276 3302 3432 3472 3556 3627 3696 3744 3844 3906 3937 4004 4064 4092 4191 4368 4433 4464 4572 4576 4774 4836 4953 5148 5208 5334 5456 5544 5588 5642 5766 6006 6096 6138 6448 6552 6604 6727 6864 6944 7112 7161 7254 7392 7688 7812 7874 8001 8008 8184 8382 8463 8649 8736 8866 8928 9009 9144 9548 9672 9779 9906 10296 10416 10571 10668 10912 11088 11176 11284 11532 11557 11811 12012 12192 12276 12493 12573 12896 13104 13208 13299 13454 13728 14224 14322 14508 14859 15376 15624 15748 16002 16016 16129 16368 16764 16926 17298 17732 18018 18161 18288 19096 19344 19558 19812 20181 20592 20832 21142 21336 21483 22176 22352 22568 23064 23114 23622 24024 24552 24986 25146 25389 26208 26416 26598 26908 27559 28448 28644 29016 29337 29718 29791 30752 31031 31248 31496 31713 32004 32032 32258 32736 33528 33852 34596 34671 35433 35464 36036 36322 36576 37479 38192 38688 39116 39624 39897 40362 41184 42284 42672 42966 43307 44704 45136 46128 46228 47244 48048 48387 49104 49972 50292 50778 51181 52832 53196 53816 54483 55118 57288 58032 58674 59436 59582 60543 62062 62496 62992 63426 64008 64516 67056 67704 69192 69342 70866 70928 72072 72644 73997 74958 76384 78232 79248 79794 80724 82677 84568 85344 85932 86614 87451 88011 89373 90272 92256 92456 93093 94488 95139 96096 96774 98208 99944 100584 101556 102362 104013 106392 107632 108966 110236 112437 112903 114576 116064 117348 118872 119164 121086 122047 124124 125984 126852 127127 128016 129032 129921 134112 135408 137423 138384 138684 141732 141856 144144 145161 145288 147994 149916 153543 156464 158496 159588 161448 163449 165354 169136 171864 173228 174902 176022 177419 178746 184912 186186 188976 190278 193548 199888 201168 203112 204724 208026 208537 209677 212784 215264 217932 220472 221991 224874 225806 229152 234696 237744 238328 242172 244094 248031 248248 253704 254254 256032 258064 259842 262353 268119 270816 274846 276768 277368 279279 283464 288288 290322 290576 295988 299832 303149 307086 312928 319176 322896 326898 327701 330708 338272 338709 343728 346456 349804 352044 354838 357492 358267 366141 369824 372372 377952 380556 381381 387096 387283 389763 399776 402336 406224 409448 412269 416052 417074 419354 425568 435864 440944 443982 449748 451612 460629 469392 475488 476656 484344 488188 496062 496496 499999 507408 508508 516128 519684 524706 532257 536238 549692 554736 558558 562991 566928 580644 581152 591976 599664 606298 614172 625611 629031 638352 645792 653796 655402 661416 665973 677418 687456 692912 699608 704088 709676 714984 716534 732282 744744 761112 762762 774192 774566 779526 787059 812448 818896 824538 832104 834148 838708 854329 871728 881888 887964 899496 903224 909447 921258 938784 953312 961961 968688 976376 983103 992124 992992 999998 1014816 1016127 1017016 1039368 1049412 1064514 1072476 1074801 1098423 1099384 1109472 1117116 1125982 1133856 1144143 1161288 1161849 1183952 1199328 1212596 1228344 1236807 1241933 1251222 1258062 1276704 1307592 1310804 1322832 1331946 1342517 1354836 1385824 1399216 1408176 1419352 1429968 1433068 1464564 1467739 1489488 1499997 1522224 1525524 1548384 1549132 1559052 1574118 1586611 1596771 1637792 1649076 1664208 1668296 1677416 1688973 1708658 1743456 1775928 1798992 1806448 1818894 1842516 1876833 1887093 1923922 1937376 1952752 1966206 1984248 1999996 2032254 2034032 2078736 2098824 2129028 2144952 2149602 2196846 2198768 2234232 2251964 2288286 2293907 2306447 2322576 2323698 2367904 2425192 2456688 2473614 2483866 2502444 2516124 2562987 2615184 2621608 2645664 2663892 2685034 2709672 2710981 2728341 2798432 2816352 2838704 2859936 2866136 2885883 2929128 2935478 2949309 2978976 2999994 3044448 3051048 3098264 3118104 3148236 3173222 3193542 3224403 3298152 3328416 3336592 3354832 3377946 3417316 3485547 3499993 3551856 3597984 3612896 3637788 3685032 3725799 3753666 3774186 3783457 3847844 3905504 3932412 3940937 3968496 3999992 4027551 4064508 4068064 4157472 4197648 4258056 4260113 4289904 4299204 4393692 4397536 4403217 4468464 4499991 4503928 4576572 4587814 4612894 4645152 4647396 4759833 4850384 4913376 4947228 4967732 5004888 5032248 5066919 5125974 5230368 5243216 5327784 5370068 5419344 5421962 5456682 5499989 5677408 5732272 5771766 5858256 5870956 5898618 5999988 6102096 6196528 6236208 6296472 6346444 6387084 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18451576 18589584 18795238 19039332 19499961 19788912 19870928 20019552 20128992 20267676 20503896 20645163 20758023 20999958 21311136 21480272 21687848 21826728 21999956 22212554 22354794 22700742 23087064 23483824 23594472 23645622 23999952 24165306 24398829 25185888 25385776 25548336 25560678 25795224 25999948 26419302 26484199 27023568 27338528 27526884 27677364 27884376 27999944 28192857 28558998 29102304 29806392 29820791 30029328 30193488 30267656 30755844 30782752 30999938 31459296 31499937 31527496 32220408 32290258 32516064 32531772 32999934 33318831 34051113 34080904 34393632 34630596 34905442 35149536 35225736 35468433 35999928 36612576 36702512 36903152 37179168 37590476 38078664 38341017 38499923 38999922 39577824 39741856 40535352 41007792 41290326 41516046 41618027 41999916 42960544 43375696 43653456 43999912 44425108 44709588 45401484 45499909 46174128 46499907 46967648 47188944 47291244 47999904 48330612 48435387 48797658 49184941 49499901 50771552 51096672 51121356 51590448 51999896 52358163 52838604 52968398 54047136 55053768 55354728 55768752 55999888 56385714 57117996 58499883 59612784 59641582 60058656 60386976 60535312 61511688 61999876 62999874 63054992 64440816 64580516 65063544 65999868 66637662 68102226 68161808 69261192 69810884 70451472 70936866 71499857 71999856 73405024 73806304 75180952 76157328 76682034 76999846 77999844 79452597 81070704 82015584 82580652 83032092 83236054 83999832 84578571 86751392 87306912 87999824 88850216 89419176 89462373 90802968 90999818 92348256 92999814 94377888 94582488 96661224 96870774 97595316 98369882 98999802 99956493 102242712 103180896 103999792 104716326 105677208 105936796 108499783 110107536 110709456 111537504 111999776 112771428 114235992 115499769 116999766 119225568 119283164 121070624 122169047 123023376 123999752 124854081 125999748 126109984 128881632 129161032 130127088 131999736 133275324 136204452 136323616 136499727 138522384 139499721 139621768 140902944 141873732 142999714 143999712 145306161 147554823 150361904 152314656 153364068 153999692 155999688 157074489 158905194 162141408 165161304 166064184 166472108 167999664 169157142 170499659 175999648 177700432 178838352 178924746 181605936 181999636 185999628 189164976 193322448 193741548 195190632 196739764 197999604 199912986 201499597 204485424 207999584 209432652 211354416 211873592 214499571 216999566 220215072 221418912 225542856 228471984 230999538 233999532 238357791 238566328 244338094 246046752 247999504 249708162 251999496 258322064 260254176 263999472 266550648 268387119 272408904 272999454 277044768 278999442 279243536 283747464 285999428 290612322 291326189 295109646 300723808 306728136 307999384 311999376 314148978 317810388 325499349 330322608 332128368 332944216 335999328 338314284 340999318 344294587 346499307 355400864 357676704 357849492 363211872 363999272 366507141 371999256 374562243 378329952 386644896 387483096 390381264 393479528 395999208 399825972 402999194 408970848 409499181 418865304 422708832 423747184 428999142 433999132 442664469 451085712 456943968 461999076 467999064 476715582 477132656 480499039 488676188 495999008 499416324 500498999 503998992 511498977 516644128 527998944 533101296 536774238 541034351 544817808 545998908 557998884 558487072 567494928 571998856 581224644 582652378 590219292 604498791 613456272 615998768 623998752 628297956 635620776 643498713 650998698 660645216 664256736 665888432 676628568 681998636 688589174 692998614 715698984 727998544 733014282 743998512 749124486 774966192 780762528 786959056 791998416 799651944 805998388 818998362 837730608 847494368 857998284 867998264 873978567 885328938 902171424 923998152 935998128 953431164 954265312 960998078 976498047 977352376 998832648 1000997998 1007997984 1022997954 1032883761 1066202592 1073548476 1082068702 1089635616 1091997816 1099521423 1115997768 1134989856 1143997712 1162449288 1165304756 1180438584 1193497613 1208997582 1226912544 1231997536 1256595912 1271241552 1286997426 1301997396 1331776864 1353257136 1363997272 1377178348 1385997228 1410497179 1431397968 1441497117 1455997088 1466028564 1487997024 1498248972 1501496997 1534496931 1549932384 1573918112 1583996832 1599303888 1611996776 1623103053 1637996724 1675461216 1715996568 1735996528 1747957134 1770657876 1813496373 1847996304 1871996256 1906862328 1921996156 1952996094 1954704752 1997665296 2001995996 2045995908 2065767522 2147096952 2164137404 2183995632 2199042846 2216495567 2231995536 2287995424 2324898576 2330609512 2360877168 2386995226 2417995164 2513191824 2542483104 2573994852 2603994792 2621935701 2706514272 2727994544 2754356696 2771994456 2820994358 2862795936 2882994234 2932057128 2996497944 3002993994 3068993862 3098651283 3198607776 3223993552 3246206106 3275993448 3363493273 3431993136 3471993056 3495914268 3541315752 3580492839 3626992746 3695992608 3787240457 3813724656 3843992312 3905992188 3909409504 3995330592 4003991992 4091991816 4131535044 4231491537 4294193904 4324491351 4328274808 4367991264 4398085692 4432991134 4463991072 4504490991 4649797152 4661219024 4721754336 4773990452 4835990328 4869309159 5026383648 5147989704 5207989584 5243871402 5285489429 5455989088 5508713392 5543988912 5641988716 5765988468 5864114256 5992995888 6005987988 6137987724 6197302566 6246487507 6447987104 6492412212 6551986896 6649486701 6726986546 6863986272 6991828536 7082631504 7160985678 7253985492 7574480914 7627449312 7687984624 7811984376 8007983984 8183983632 8263070088 8462983074 8588387808 8648982702 8656549616 8796171384 8865982268 9008981982 9322438048 9547980904 9671980656 9738618318 10090479819 10295979408 10415979168 10487742804 10570978858 10741478517 11017426784 11087977824 11283977432 11361721371 11531976936 11728228512 11985991776 12011975976 12275975448 12394605132 12492975014 12694474611 12984824424 13103973792 13298973402 13453973092 13983657072 14165263008 14321971356 14507970984 15148961828 15375969248 15515468969 15623968752 15856468287 16015967968 16367967264 16526140176 16925966148 17297965404 17313099232 17592342768 17731964536 18017963964 18739462521 19095961808 19343961312 19477236636 19948460103 20180959638 20591958816 20975485608 21141957716 21482957034 22567954864 22723442742 23063953872 24023951952 24551950896 24789210264 24985950028 25388949222 25969648848 26597946804 26907946184 27967314144 28643942712 29015941968 30271439457 30297923656 31030937938 31247937504 31712936574 33052280352 33851932296 34085164113 34595930808 35184685536 35463929072 36035927928 36998426003 37478925042 38191923616 38954473272 39896920206 40361919276 41950971216 42283915432 42965914068 43725412549 45135909728 45446885484 46127907744 46546406907 47569404861 48047903904 49103901792 49578420528 49971900056 50777898444 51939297696 53195893608 53815892368 56218387563 57287885424 58031883936 60542878914 60595847312 62061875876 63425873148 67703864592 68170328226 68711362577 69191861616 70927858144 72071855856 73996852006 74957850084 77908946544 79793840412 80723838552 83901942432 84567830864 85931828136 87450825098 90893770968 93092813814 95138809722 99156841056 99943800112 101555796888 106391787216 107631784736 110995278009 112436775126 114575770848 121085757828 121191694624 124123751752 126851746296 131176237647 135407729184 136340656452 137422725154 138383723232 139639220721 144143711712 147993704012 149915700168 155817893088 159587680824 161447677104 169135661728 171863656272 174901650196 181787541936 186185627628 190277619444 199887600224 203111593776 206134087731 212783574432 221990556018 224873550252 242171515656 248247503504 253703492592 262352475294 272681312904 274845450308 279278441442 295987408024 299831400336 319175361648 322895354208 332985834027 343727312544 349803300392 363575083872 372371255256 380555238888 393528712941 406223187552 412268175462 443981112036 449747100504 480979538039 484343031312 496495007008 507406985184 524704950588 545362625808 549690900616 558556882884 591974816048 599662800672 618402263193 638350723296 665971668054 699606600784 744742510512 761110477776 787057425882 824536350924 887962224072 899494201008 961959076078 968686062624 1049409901176 1090725251616 1099381801232 1117113765768 1183949632096 1236804526386 1331943336108 1399213201568 1442938614117 1489485021024 1522220955552 1574114851764 1649072701848 1775924448144 1798988402016 1923918152156 2098819802352 2198763602464 2234227531536 2473609052772 2663886672216 2885877228234 3148229703528 3298145403696 3551848896288 3847836304312 4197639604704 4328815842351 4468455063072 4947218105544 5327773344432 5771754456468 6296459407056 6596290807392 7695672608624 8657631684702 9894436211088 10655546688864 11543508912936 12592918814112 15391345217248 17315263369404 19788872422176 23087017825872 34630526738808 46174035651744 69261053477616 138522106955232
- Sum of all divisors σ(n): 550869372039168
- Sum of proper divisors (its aliquot sum) s(n): 412347265083936
- 138522106955232 is an abundant number, because the sum of its proper divisors (412347265083936) is greater than itself. Its abundance is 273825158128704
Bases of 138522106955232
- Binary: 111110111111100001100001111101010000101111000002
- Hexadecimal: 0x7DFC30FA85E0
- Base-36: 1D3O6DY2G0
Squares and roots of 138522106955232
- 138522106955232 squared (1385221069552322) is 19188374115316733629652173824
- 138522106955232 cubed (1385221069552323) is 2658014011498909782342677264098458650247168
-
The
square root of 138522106955232 is 11769541.4929907953 -
The
cube root of 138522106955232 is 51741.5811744789
Scales and comparisons
How big is 138522106955232?- 138,522,106,955,232 seconds is equal to 4,404,574 years, 27 weeks, 1 day, 19 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,522,106,955,232 would take you about eleven million, eleven thousand, four hundred thirty-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 138522106955232 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138522106955232
- 138522106955232 backwards is 232559601225831
- The number of decimal digits it has is: 15
- The sum of 138522106955232's digits is 54
- More coming soon!
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"Number 138522106955232 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138522106955232 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138522106955232/
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The information we have on file for 138522106955232 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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