138822531396948
138,822,531,396,948 is an even composite number composed of six prime numbers multiplied together.
What does the number 138822531396948 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138822531396948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138822531396948:
22 × 35 × 73 × 17 × 193 × 3571
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 19 × 19 × 19 × 3571)See below for interesting mathematical facts about the number 138822531396948 from the Numbermatics database.
Names of 138822531396948
- Cardinal: 138822531396948 can be written as One hundred thirty-eight trillion, eight hundred twenty-two billion, five hundred thirty-one million, three hundred ninety-six thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 1.38822531396948 × 1014
Factors of 138822531396948
Divisors of 138822531396948
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 17 18 19 21 27 28 34 36 38 42 49 51 54 57 63 68 76 81 84 98 102 108 114 119 126 133 147 153 162 171 189 196 204 228 238 243 252 266 294 306 323 324 342 343 357 361 378 399 441 459 476 486 513 532 567 588 612 646 684 686 714 722 756 798 833 882 918 931 969 972 1026 1029 1071 1083 1134 1197 1292 1323 1372 1377 1428 1444 1539 1596 1666 1701 1764 1836 1862 1938 2052 2058 2142 2166 2261 2268 2394 2499 2527 2646 2754 2793 2907 3078 3087 3213 3249 3332 3402 3571 3591 3724 3876 3969 4116 4131 4284 4332 4522 4617 4788 4998 5054 5292 5508 5586 5814 5831 6137 6156 6174 6426 6498 6517 6783 6804 6859 7142 7182 7497 7581 7938 8262 8379 8721 9044 9234 9261 9639 9747 9996 10108 10713 10773 11172 11628 11662 11907 12274 12348 12852 12996 13034 13566 13718 14284 14364 14994 15162 15827 15876 16524 16758 17442 17493 17689 18411 18468 18522 19278 19494 19551 20349 20577 21426 21546 22491 22743 23324 23814 24548 24997 25137 26068 26163 27132 27436 27783 28917 29241 29988 30324 31654 32139 32319 33516 34884 34986 35378 36822 37044 38556 38988 39102 40698 41154 42852 42959 43092 44982 45486 47481 47628 48013 49994 50274 52326 52479 53067 55233 55566 57834 58482 58653 60707 61047 61731 63308 64278 64638 67473 67849 68229 69972 70756 73644 74991 75411 78204 78489 81396 82308 83349 85918 87723 89964 90972 94962 96026 96417 99988 100548 104652 104958 106134 110466 110789 111132 115668 116603 116964 117306 121414 122094 123462 123823 128556 128877 129276 134946 135698 136458 142443 144039 149982 150822 156978 157437 159201 165699 166698 171836 174979 175446 175959 182121 183141 185193 189924 192052 192834 202419 203547 204687 209916 212268 220932 221578 224973 226233 233206 234612 242828 244188 246924 247646 257754 269892 271396 272916 284886 288078 289251 299964 300713 301644 313956 314874 318402 331398 332367 333396 336091 349809 349958 350892 351918 364242 366282 370386 371469 385668 386631 404838 407094 409374 424949 427329 432117 443156 449946 452466 466412 472311 474943 477603 495292 497097 515508 524937 527877 546363 549423 555579 569772 576156 578502 601426 610641 614061 629748 636804 662796 664734 672182 674919 699618 699916 703836 728484 732564 740772 742938 773262 809676 814188 816221 818748 849898 854658 864234 867753 899892 902139 904932 944622 949886 955206 994194 997101 1008273 1049427 1049874 1055754 1092726 1098846 1111158 1114407 1153433 1157004 1159893 1202852 1221282 1224853 1228122 1274847 1281987 1289131 1296351 1329468 1344364 1349838 1399236 1416933 1424829 1432809 1485876 1491291 1546524 1574811 1583631 1632442 1639089 1666737 1699796 1709316 1728468 1735506 1804278 1831923 1889244 1899772 1910412 1988388 1994202 2016546 2024757 2098854 2099748 2104991 2111508 2185452 2197692 2222316 2228814 2306866 2319786 2352637 2442564 2448663 2449706 2456244 2549694 2563974 2578262 2592702 2699676 2706417 2833866 2849658 2865618 2974643 2982582 2991303 3024819 3148281 3149622 3167262 3264884 3278178 3324601 3333474 3343221 3460299 3471012 3479679 3608556 3663846 3674559 3824541 3845961 3867393 3889053 3988404 4033092 4049514 4197708 4209982 4274487 4298427 4457628 4613732 4639572 4705274 4724433 4897326 4899412 4917267 5099388 5127948 5156524 5185404 5412834 5495769 5667732 5699316 5713547 5731236 5949286 5965164 5982606 6049638 6074271 6296562 6299244 6314973 6334524 6556356 6649202 6666948 6686442 6920598 6959358 7057911 7327692 7345989 7349118 7649082 7691922 7734786 7778106 8074031 8099028 8119251 8419964 8548974 8596854 8923929 8973909 9023917 9074457 9410548 9444843 9448866 9794652 9834534 9973803 10029663 10380897 10439037 10825668 10991538 11023677 11427094 11473623 11602179 11667159 11898572 11965212 12099276 12148542 12593124 12629946 12823461 13298404 13372884 13841196 13918716 14115822 14173299 14691978 14698236 14751801 15298164 15383844 15469572 15556212 16148062 16238502 16487307 17097948 17140641 17193708 17847858 17947818 18047834 18148914 18889686 18897732 18944919 19669068 19947606 20059326 20761794 20822501 20878074 21173733 21915227 21983076 22037967 22047354 22854188 22947246 23204358 23272207 23334318 24222093 24297084 24357753 24493489 25259892 25646922 26771787 26921727 27071751 27223371 28231644 28334529 28346598 29383956 29503602 29921409 30088989 31142691 32296124 32477004 32974614 33071031 34281282 34420869 34806537 35695716 35895636 36095668 36297828 37779372 37889838 38470383 39895212 39994829 40118652 41523588 41645002 41756148 42347466 42519897 43830454 44075934 44094708 45894492 46408716 46544414 46668636 48444186 48715506 48986978 51293844 51421923 53543574 53843454 54143502 54446742 56518217 56669058 56693196 56834757 59007204 59842818 60177978 62285382 62467503 63167419 63521199 65745681 65949228 66113901 66142062 68562564 68841738 69613074 69816621 72666279 73073259 73480467 75779676 76940766 79989658 80315361 81215253 81670113 83290004 84694932 85039794 87660908 88151868 89764227 93088828 93428073 96888372 97431012 97973956 99213093 102843846 103262607 104419611 107087148 107686908 108287004 108893484 113036434 113338116 113669514 115411149 119685636 119984487 120355956 124570764 124935006 126334838 127042398 131491362 132227802 132284124 137683476 139226148 139633242 145332558 146146518 146960934 153406589 153881532 154265769 159979316 160630722 162430506 163340226 169554651 170079588 170504271 171454423 179528454 186856146 187402509 189502257 190563597 197237043 198341703 198426186 205687692 206525214 208839222 209449863 217998837 220441401 226072868 227339028 230822298 239968974 240946083 243645759 249870012 252669676 254084796 262982724 264455604 269292681 279266484 280284219 290665116 292293036 293921868 297639279 306813178 308531538 313258833 321261444 324861012 326680452 339109302 341008542 342908846 359056908 359953461 373712292 374805018 379004514 381127194 394474086 395627519 396683406 396852372 413050428 416389313 417678444 418899726 435997674 440882802 442171933 460219767 461644596 462797307 479937948 481892166 487291518 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2761318602 2776783842 2891352996 2914725191 2923749108 3051983718 3086179614 3221538369 3231512172 3239581149 3373245162 3411040626 3550266774 3560647671 3600542883 3747503817 3770097534 3923979066 3967945218 3979547397 4141977903 4295384492 4319441532 4385623662 4577975577 4629269421 4747530228 4800723844 4996671756 5059867743 5116560939 5306063196 5325400161 5522637204 5553567684 5655146301 5829450382 5951917827 6103967436 6172359228 6443076738 6479162298 6746490324 6822081252 7100533548 7121295342 7201085766 7495007634 7516922861 7540195068 7847958132 7935890436 7959094794 8283955806 8401266727 8744175573 8771247324 9155951154 9258538842 9664615107 9718743447 10119735486 10233121878 10650800322 10681943013 10801628649 11242511451 11310292602 11658900764 11903835654 11938642191 12425933709 12886153476 12958324596 13733926731 13887808263 14242590684 14402171532 14990015268 15033845722 15349682817 15918189588 16567911612 16802533454 17488351146 18311902308 18517077684 19329230214 19437486894 20239470972 20403076337 20466243756 21301600644 21363886026 21603257298 22485022902 22550768583 22620585204 23807671308 23877284382 24851867418 25203800181 26232526719 27467853462 27775616526 28993845321 30067691444 30699365634 32045829039 32404885947 33605066908 33727534353 34976702292 35815926573 37277801127 38658460428 38874973788 40806152674 41663424789 42727772052 43206514596 44970045804 45101537166 47754568764 49703734836 50407600362 52465053438 54935706924 55551233052 57987690642 61209229011 61398731268 64091658078 64809771894 67455068706 67652305749 71631853146 74555602254 75611400543 78697580157 81612305348 83326849578 86981535963 90203074332 96137487117 97214657841 100815200724 101182603059 104930106876 107447779719 115975381284 122418458022 128183316156 129619543788 134910137412 135304611498 142821534359 143263706292 149111204508 151222801086 157395160314 166653699156 173963071926 183627687033 192274974234 194429315682 202365206118 202956917247 214895559438 226834201629 236092740471 244836916044 260944607889 270609222996 285643068718 291643973523 302445602172 314790320628 347926143852 367255374066 384549948468 388858631364 404730412236 405913834494 428464603077 429791118876 453668403258 472185480942 521889215778 550883061099 571286137436 583287947046 608870751741 680502604887 708278221413 734510748132 811827668988 856929206154 907336806516 944370961884 1043778431556 1101766122198 1166575894092 1217741503482 1285393809231 1361005209774 1416556442826 1652649183297 1713858412308 1826612255223 2041507814661 2203532244396 2435483006964 2570787618462 2722010419548 2833112885652 3305298366594 3653224510446 3856181427693 4083015629322 4957947549891 5141575236924 6610596733188 7306449020892 7712362855386 8166031258644 9915895099782 11568544283079 15424725710772 19831790199564 23137088566158 34705632849237 46274177132316 69411265698474 138822531396948
- Sum of all divisors σ(n): 474440698368000
- Sum of proper divisors (its aliquot sum) s(n): 335618166971052
- 138822531396948 is an abundant number, because the sum of its proper divisors (335618166971052) is greater than itself. Its abundance is 196795635574104
Bases of 138822531396948
- Binary: 111111001000010001000111010101110110101010101002
- Hexadecimal: 0x7E4223ABB554
- Base-36: 1D7I6UWH90
Squares and roots of 138822531396948
- 138822531396948 squared (1388225313969482) is 19271695223456613228343714704
- 138822531396948 cubed (1388225313969483) is 2675345515230718492607411120915776688323392
-
The
square root of 138822531396948 is 11782297.3734729681 -
The
cube root of 138822531396948 is 51778.9595924923
Scales and comparisons
How big is 138822531396948?- 138,822,531,396,948 seconds is equal to 4,414,127 years, 4 weeks, 5 days, 12 hours, 55 minutes, 48 seconds.
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To count from 1 to 138,822,531,396,948 would take you about eleven million, thirty-five thousand, three hundred seventeen 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 138822531396948 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138822531396948
- 138822531396948 backwards is 849693135228831
- The number of decimal digits it has is: 15
- The sum of 138822531396948's digits is 72
- More coming soon!
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The information we have on file for 138822531396948 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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