138120728218713504
138,120,728,218,713,504 is an even composite number composed of seven prime numbers multiplied together.
138120728218713504 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138120728218713504:
25 × 32 × 11 × 29 × 312 × 61 × 25646167
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 29 × 31 × 31 × 61 × 25646167)See below for interesting mathematical facts about the number 138120728218713504 from the Numbermatics database.
Names of 138120728218713504
- Cardinal: 138120728218713504 can be written as One hundred thirty-eight quadrillion, one hundred twenty trillion, seven hundred twenty-eight billion, two hundred eighteen million, seven hundred thirteen thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38120728218713504 × 1017
Factors of 138120728218713504
Divisors of 138120728218713504
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 29 31 32 33 36 44 48 58 61 62 66 72 87 88 93 96 99 116 122 124 132 144 174 176 183 186 198 232 244 248 261 264 279 288 319 341 348 352 366 372 396 464 488 496 522 528 549 558 638 671 682 696 732 744 792 899 928 957 961 976 992 1023 1044 1056 1098 1116 1276 1342 1364 1392 1464 1488 1584 1769 1798 1891 1914 1922 1952 2013 2046 2088 2196 2232 2552 2684 2697 2728 2784 2871 2883 2928 2976 3069 3168 3538 3596 3782 3828 3844 4026 4092 4176 4392 4464 5104 5307 5368 5394 5456 5673 5742 5766 5856 6039 6138 7076 7192 7564 7656 7688 8052 8091 8184 8352 8649 8784 8928 9889 10208 10571 10614 10736 10788 10912 11346 11484 11532 12078 12276 14152 14384 15128 15312 15376 15921 16104 16182 16368 17019 17298 17568 19459 19778 20801 21142 21228 21472 21576 22692 22968 23064 24156 24552 27869 28304 28768 29667 30256 30624 30752 31713 31842 32208 32364 32736 34038 34596 38918 39556 41602 42284 42456 43152 45384 45936 46128 48312 49104 54839 55738 56608 58377 58621 59334 60512 62403 63426 63684 64416 64728 68076 69192 77836 79112 83204 83607 84568 84912 86304 89001 90768 91872 92256 95139 96624 98208 109678 111476 116754 117242 118668 124806 126852 127368 129456 136152 138384 155672 158224 164517 166408 167214 169136 169824 175131 175863 178002 181536 187209 190278 193248 219356 222952 233508 234484 237336 249612 250821 253704 254736 258912 272304 276768 306559 311344 316448 329034 332816 334428 338272 350262 351726 356004 374418 380556 438712 445904 467016 468968 474672 493551 499224 501642 507408 509472 527589 544608 603229 613118 622688 644831 658068 665632 668856 700524 703452 712008 748836 761112 877424 891808 919677 934032 937936 949344 987102 998448 1003284 1014816 1055178 1206458 1226236 1289662 1316136 1337712 1401048 1406904 1424016 1497672 1522224 1700009 1754848 1809687 1839354 1868064 1875872 1934493 1974204 1996896 2006568 2110356 2412916 2452472 2579324 2632272 2675424 2759031 2802096 2813808 2848032 2995344 3044448 3400018 3619374 3678708 3868986 3948408 4013136 4220712 4825832 4904944 5100027 5158648 5264544 5429061 5518062 5604192 5627616 5803479 5990688 6800036 7238748 7357416 7737972 7896816 8026272 8441424 9651664 9809888 10200054 10317296 10858122 11036124 11606958 13600072 14477496 14714832 15300081 15475944 15793632 16882848 18700099 19303328 20400108 20634592 21716244 22072248 23213916 25646167 27200144 28954992 29429664 30600162 30951888 37400198 40800216 43432488 44144496 46427832 51292334 54400288 56100297 57909984 61200324 61903776 74800396 76938501 81600432 86864976 88288992 92855664 102584668 112200594 122400648 149600792 153877002 163200864 168300891 173729952 185711328 205169336 224401188 230815503 244801296 282107837 299201584 307754004 336601782 410338672 448802376 461631006 489602592 564215674 598403168 615508008 673203564 743738843 795031177 820677344 846323511 897604752 923262012 1128431348 1231016016 1346407128 1487477686 1564416187 1590062354 1692647022 1795209504 1846524024 2231216529 2256862696 2385093531 2462032032 2538970533 2692814256 2974955372 3128832374 3180124708 3385294044 3693048048 4462433058 4513725392 4693248561 4770187062 5077941066 5385628512 5949910744 6257664748 6360249416 6693649587 6770588088 7155280593 7386096096 8181127273 8745342947 8924866116 9027450784 9386497122 9540374124 10155882132 11899821488 12515329496 12720498832 13387299174 13541176176 14079745683 14310561186 16362254546 17208578057 17490685894 17849732232 18772994244 19080748248 20311764264 23055904133 23799642976 24543381819 24645966487 25030658992 25440997664 26236028841 26774598348 27082352352 28159491366 28621122372 32724509092 34417156114 34981371788 35699464464 37545988488 38161496496 40623528528 45368069423 46111808266 48496901797 49086763638 49291932974 50061317984 51625734171 52472057682 53549196696 56318982732 57242244744 65449018184 68834312228 69167712399 69962743576 71398928928 73630145457 73937899461 75091976976 76322992992 78708086523 81247057056 90736138846 92223616532 96993803594 98173527276 98583865948 103251468342 104944115364 107098393392 112637965464 114484489488 130898036368 136104208269 137668624456 138335424798 139925487152 145490705391 147260290914 147875798922 150183953952 154877202513 157416173046 181472277692 184447233064 193987607188 196347054552 197167731896 206502936684 207503137197 209888230728 214196786784 221813698383 225275930928 228968978976 253614945463 261796072736 271105631357 272208416538 275337248912 276670849596 279850974304 290981410782 294520581828 295751597844 309754405026 314832346092 362944555384 368894466128 387975214376 392694109104 394335463792 408312624807 413005873368 415006274394 419776461456 436472116173 443627396766 450551861856 499048763653 507229890926 533465919767 542211262714 544416833076 550674497824 553341699192 581962821564 589041163656 591503195688 619508810052 629664692184 714733028123 725889110768 737788932256 760844836389 775950428752 785388218208 788670927584 813316894071 816625249614 826011746736 830012548788 839552922912 872944232346 887254793532 998097527306 1014459781852 1066931839534 1084422525428 1088833666152 1106683398384 1163925643128 1178082327312 1183006391376 1239017620104 1259329384368 1406410152113 1429466056246 1451778221536 1497146290959 1503403955707 1521689672778 1551900857504 1600397759301 1626633788142 1633250499228 1652023493472 1660025097576 1745888464692 1774509587064 1996195054612 2028919563704 2133863679068 2144199084369 2168845050856 2177667332304 2213366796768 2282534509167 2327851286256 2356164654624 2366012782752 2439950682213 2478035240208 2518658768736 2812820304226 2858932112492 2994292581918 3006807911414 3043379345556 3200795518602 3253267576284 3266500998456 3320050195152 3491776929384 3549019174128 3992390109224 4057839127408 4219230456339 4267727358136 4288398168738 4337690101712 4355334664608 4491438872877 4510211867121 4565069018334 4655702572512 4801193277903 4879901364426 4956070480416 5625640608452 5717864224984 5988585163836 6013615822828 6086758691112 6401591037204 6432597253107 6506535152568 6533001996912 6640100390304 6983553858768 7098038348256 7862063309353 7984780218448 8115678254816 8438460912678 8535454716272 8576796337476 8675380203424 8982877745754 9020423734242 9130138036668 9602386555806 9759802728852 11251281216904 11435728449968 11977170327672 12027231645656 12173517382224 12657691369017 12803182074408 12865194506214 13013070305136 13066003993824 13530635601363 13967107717536 15470511673243 15724126618706 15969560436896 16537443512777 16876921825356 17070909432544 17153592674952 17965755491508 18040847468484 18260276073336 19204773111612 19519605457704 22502562433808 22871456899936 23586189928059 23954340655344 24054463291312 24347034764448 25315382738034 25606364148816 25730389012428 26026140610272 27061271202726 30941023346486 31448253237412 33074887025554 33753843650712 34307185349904 35931510983016 36081694936968 36520552146672 38409546223224 39039210915408 43598714715503 45005124867616 46411535019729 47172379856118 47908681310688 48108926582624 49612330538331 50630765476068 51212728297632 51460778024856 54122542405452 61882046692972 62896506474824 66149774051108 67507687301424 68614370699808 70758569784177 71863021966032 72163389873936 73041104293344 76819092446448 78078421830816 87197429431006 92823070039458 94344759712236 99224661076662 101261530952136 102921556049712 108245084810904 123764093385944 125793012949648 130796144146509 132299548102216 135015374602848 139234605059187 141517139568354 143726043932064 144326779747872 148836991614993 153638184892896 174394858862012 185646140078916 188689519424472 198449322153324 202523061904272 205843112099424 216490169621808 247528186771888 251586025899296 261592288293018 264599096204432 278469210118374 283034279136708 297673983229986 348789717724024 371292280157832 377379038848944 392388432439527 396898644306648 405046123808544 432980339243616 479585861870533 495056373543776 523184576586036 529198192408864 556938420236748 566068558273416 595347966459972 697579435448048 742584560315664 754758077697888 784776864879054 793797288613296 959171723741066 1046369153172072 1113876840473496 1132137116546832 1190695932919944 1395158870896096 1438757585611599 1485169120631328 1569553729758108 1587594577226592 1918343447482132 2092738306344144 2227753680946992 2264274233093664 2381391865839888 2877515171223198 3139107459516216 3836686894964264 4185476612688288 4316272756834797 4455507361893984 4762783731679776 5755030342446396 6278214919032432 7673373789928528 8632545513669594 11510060684892792 12556429838064864 15346747579857056 17265091027339188 23020121369785584 34530182054678376 46040242739571168 69060364109356752 138120728218713504
- Sum of all divisors σ(n): 465532304714305920
- Sum of proper divisors (its aliquot sum) s(n): 327411576495592416
- 138120728218713504 is an abundant number, because the sum of its proper divisors (327411576495592416) is greater than itself. Its abundance is 189290848276878912
Bases of 138120728218713504
- Binary: 1111010101011010000010010000011011001100000111101101000002
- Hexadecimal: 0x1EAB4120D983DA0
- Base-36: 11RZPMKXWDK0
Squares and roots of 138120728218713504
- 138120728218713504 squared (1381207282187135042) is 19077335563667720839657420831958016
- 138120728218713504 cubed (1381207282187135043) is 2634975480526546860587836552447703505115780860248064
-
The
square root of 138120728218713504 is 371645971.6164208661 -
The
cube root of 138120728218713504 is 516915.5772279207
Scales and comparisons
How big is 138120728218713504?- 138,120,728,218,713,504 seconds is equal to 4,391,811,921 years, 46 weeks, 2 days, 10 hours, 38 minutes, 24 seconds.
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To count from 1 to 138,120,728,218,713,504 would take you about thirteen billion, one hundred seventy-five million, four hundred thirty-five thousand, seven hundred sixty-five 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 138120728218713504 cubic inches would be around 43076.3 feet tall.
Recreational maths with 138120728218713504
- 138120728218713504 backwards is 405317812827021831
- The number of decimal digits it has is: 18
- The sum of 138120728218713504's digits is 63
- More coming soon!
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The information we have on file for 138120728218713504 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 138120728218713504, math, Factors of 138120728218713504, curriculum, school, college, exams, university, Prime factorization of 138120728218713504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty trillion, seven hundred twenty-eight billion, two hundred eighteen million, seven hundred thirteen thousand, five hundred four.