138745397007428288
138,745,397,007,428,288 is an even composite number composed of seven prime numbers multiplied together.
138745397007428288 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138745397007428288:
26 × 72 × 11 × 47 × 612 × 191 × 3472
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 47 × 61 × 61 × 191 × 347 × 347)See below for interesting mathematical facts about the number 138745397007428288 from the Numbermatics database.
Names of 138745397007428288
- Cardinal: 138745397007428288 can be written as One hundred thirty-eight quadrillion, seven hundred forty-five trillion, three hundred ninety-seven billion, seven million, four hundred twenty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38745397007428288 × 1017
Factors of 138745397007428288
Divisors of 138745397007428288
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 47 49 56 61 64 77 88 94 98 112 122 154 176 188 191 196 224 244 308 329 347 352 376 382 392 427 448 488 517 539 616 658 671 694 704 752 764 784 854 976 1034 1078 1232 1316 1337 1342 1388 1504 1528 1568 1708 1952 2068 2101 2156 2303 2429 2464 2632 2674 2684 2776 2867 2989 3008 3056 3136 3416 3619 3721 3817 3904 4136 4202 4312 4606 4697 4858 4928 5264 5348 5368 5552 5734 5978 6112 6832 7238 7442 7634 8272 8404 8624 8977 9212 9359 9394 9716 10528 10696 10736 11104 11468 11651 11956 12224 13664 14476 14707 14884 15268 16309 16544 16808 17003 17248 17954 18424 18718 18788 19432 20069 21056 21167 21392 21472 22208 22936 23302 23912 25333 26047 26719 27328 28952 29414 29768 30536 31537 32618 32879 33088 33616 34006 34496 35908 36848 37436 37576 38864 40138 40931 42334 42784 42944 45872 46604 47824 50666 52094 53438 57904 58828 59536 61072 62839 63074 65236 65758 66277 67232 68012 71816 73696 74872 75152 77728 80276 81557 81862 84668 85568 91744 93208 95648 98747 101332 102949 104188 106876 114163 115808 117656 119072 120409 122144 125678 126148 128161 130472 131516 132554 134464 136024 140483 143632 147392 148169 149744 150304 155456 160552 163114 163724 169336 174887 179399 182329 183488 186416 187033 191296 197494 202664 205898 208376 213752 220759 228326 231616 232837 235312 238144 240818 244288 251356 252296 256322 260944 263032 265108 272048 280966 286517 287264 296338 299488 300608 321104 326228 327448 338672 349774 358798 364658 372832 374066 394988 405328 411796 416752 427504 439873 441518 456652 463939 465674 470624 481636 502712 504592 512644 521888 526064 530216 544096 547597 561932 570899 573034 574528 592676 598976 642208 652456 654896 677344 691229 699548 710711 717596 729047 729316 745664 748132 789976 799141 810656 823592 833504 842863 855008 879746 883036 897127 913304 927878 931348 941248 963272 994849 1005424 1009184 1025288 1037183 1043776 1052128 1060432 1088192 1095194 1123864 1141798 1146068 1185352 1224209 1255793 1284416 1291187 1304912 1309792 1324499 1354688 1382458 1399096 1421422 1435192 1458094 1458632 1496264 1545313 1579952 1598282 1621312 1629859 1647184 1667008 1685726 1710016 1759492 1766072 1794254 1826608 1855756 1862696 1923757 1926544 1989698 2005619 2010848 2018368 2050576 2074366 2104256 2120864 2190388 2247728 2283596 2292136 2370704 2448418 2511586 2582374 2609824 2619584 2648998 2764916 2798192 2842844 2870384 2916188 2917264 2992528 3090626 3115019 3159904 3196564 3247573 3259718 3294368 3371452 3518984 3532144 3588508 3653216 3711512 3725392 3833179 3847514 3853088 3979396 4011238 4021696 4042897 4101152 4148732 4241728 4380776 4495456 4567192 4584272 4741408 4838603 4896836 4974977 5023172 5103329 5164748 5219648 5297996 5529832 5596384 5659223 5685688 5740768 5832376 5834528 5900041 5985056 6023567 6181252 6230038 6279889 6319808 6393128 6495146 6519436 6588736 6742904 6963943 7037968 7064288 7177016 7306432 7344949 7423024 7450784 7666358 7695028 7706176 7817821 7958792 8022476 8085794 8202304 8297464 8569463 8761552 8790551 8990912 9038309 9134384 9168544 9271493 9482816 9677206 9793672 9949954 10046344 10206658 10329496 10595992 10943339 11059664 11192768 11318446 11371376 11409013 11481536 11664752 11669056 11800082 11970112 12047134 12362504 12460076 12559778 12786256 12990292 13038872 13466299 13485808 13927886 14075936 14128576 14203057 14354032 14689898 14846048 14901568 15332716 15390056 15635642 15917584 16044952 16171588 16594928 17138926 17523104 17581102 18076618 18268768 18337088 18542986 19354412 19587344 19899908 20092688 20413316 20658992 21191984 21805133 21886678 22119328 22636892 22742752 22818026 22998119 23329504 23600164 24094268 24725008 24920152 25119556 25572512 25980584 26077744 26832253 26932598 26971616 27855772 28151872 28300279 28406114 28708064 29379796 29692096 30665432 30780112 31271284 31835168 32089904 32343176 33189856 33403417 34265209 34277852 34824839 35046208 35162204 35723303 36153236 36537536 37085972 38708824 39174688 39614561 39799816 40185376 40826632 41317984 42164969 42383968 43610266 43773356 44238656 44471867 45273784 45485504 45636052 45996238 46659008 47200328 48188536 48747601 49450016 49840304 50239112 51145024 51414643 51961168 52155488 53664506 53865196 53943232 54724747 55711544 56600558 56812228 57416128 58759592 60685789 61330864 61560224 62251453 62542568 63268163 63670336 64179808 64686352 64900451 66379712 66806834 68530418 68555704 69649678 70324408 71446606 72306472 74171944 76603373 77417648 78349376 79229122 79599632 80370752 80794439 81653264 82635968 84329938 84767936 87220532 87546712 88943734 90547568 91272104 91992476 94264093 94400656 96377072 97495202 98900032 99421399 99680608 100478224 102829286 103922336 104310976 107329012 107730392 109449494 111423088 113201116 113624456 117519184 121371578 122661728 123120448 124502906 125085136 126536326 128359616 129372704 129800902 133613668 137060836 137111408 139299356 140648816 142893212 144612944 148343888 152635931 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5758440016 5879001392 5947207322 6032901952 6080517088 6100642394 6129171664 6272586446 6339262496 6362969536 6547069732 6715980964 6796808368 6905268076 6972162736 7083420652 7168670224 7482365408 7566381151 7594677266 7675406816 7891734944 7917855022 8095337888 8360710996 8579577776 8647292744 8716485932 8873661664 9015262648 9048977168 9310791791 9345611506 9444953056 9665952884 9768699584 9820196813 9856921558 9961698208 10288252436 10303157312 10640904904 10680698864 10851135548 11046803296 11135196688 11223082072 11516880032 11590985699 11758002784 11890027523 11894414644 12084219133 12161034176 12201284788 12258343328 12395986141 12545172892 12678524992 13094139464 13431961928 13593616736 13810536152 13944325472 14166841304 14337340448 14631244243 14964730816 15132762302 15189354532 15350813632 15431737849 15783469888 15835710044 16190675776 16721421992 16915417547 17159155552 17294585488 17432971864 17747323328 18004441763 18030525296 18097954336 18621583582 18691223012 18889906112 18989487209 19331905768 19640393626 19713843116 19923396416 20576504872 21057968783 21281809808 21361397728 21702271096 21954052561 22093606592 22270393376 22446164144 23033760064 23181971398 23516005568 23780055046 23788829288 24168438266 24402569576 24516686656 24791972282 25090345784 26188278928 26581370431 26863923856 27187233472 27621072304 27888650944 28333682608 28674680896 29262488486 30265524604 30378709064 30863475698 31671420088 32709640271 33442843984 33830835094 34318311104 34499225453 34589170976 34865943728 36008883526 36061050592 36195908672 37243167164 37382446024 37978974418 38663811536 39280787252 39427686232 41153009744 42115937566 42563619616 42722795456 43404542192 43908105122 44540786752 44892328288 46363942796 47560110092 47577658576 48336876532 48805139152 49583944564 50180691568 52376557856 52964668057 53162740862 53727847712 55242144608 56667365216 58524976972 60531049208 60757418128 61726951396 63342840176 65419280542 65935607173 66885687968 67661670188 68741377691 68998450906 69178341952 69731887456 72017767052 72122101184 74486334328 74764892048 75957948836 77327623072 78561574504 78855372464 81136899893 82306019488 83230192661 84231875132 85127239232 85576000799 86809084384 87816210244 89784656576 92727885592 95120220184 95155317152 96673753064 97610278304 99167889128 100361383136 102418709701 104753115712 105929336114 106325481724 107455695424 108022164943 110484289216 113334730432 117049953944 121062098416 121514836256 123453902792 126685680352 127500842689 130838561084 131871214346 132926410463 133771375936 135323340376 137482755382 137996901812 139463774912 144035534104 147405781481 148972668656 149529784096 151915897672 154655246144 157123149008 157710744928 162273799786 164612038976 166460385322 168463750264 171152001598 173618168768 175632420488 185455771184 186069593017 190240440368 190310634304 193347506128 195220556608 198335778256 200722766272 204837419402 211858672228 212650963448 216044329886 231637656613 234099907888 241494578171 242124196832 243029672512 246907805584 253371360704 255001685378 261677122168 263742428692 265852820926 270646680752 274965510764 275993803624 288071068208 294811562962 297945337312 299059568192 303831795344 314246298016 315421489856 324547599572 332920770644 336927500528 342304003196 351264840976 370911542368 372139186034 380480880736 386695012256 396671556512 409674838804 423717344456 425301926896 432088659772 461549250211 463275313226 468199815776 482989156342 484248393664 493815611168 510003370756 523354244336 527484857384 531705641852 541293361504 549931021528 551987607248 567958299251 576142136416 582611348627 589623125924 595890674624 599032005593 607663590688 628492596032 649095199144 665841541288 673855001056 684608006392 702529681952 725291678903 741823084736 744278372068 756155154601 760961761472 773390024512 793343113024 819349677608 847434688912 850603853792 864177319544 892505898823 923098500422 926550626452 936399631552 941336008789 965978312684 987631222336 1020006741512 1031840470367 1046708488672 1054969714768 1063411283704 1082586723008 1099862043056 1103975214496 1135916598502 1152284272832 1165222697254 1179246251848 1198064011186 1215327181376 1298190398288 1331683082576 1347710002112 1369216012784 1405059363904 1450583357806 1488556744136 1512310309202 1621463596291 1638699355216 1694869377824 1701207707584 1728354639088 1785011797646 1846197000844 1853101252904 1882672017578 1931956625368 2040013483024 2063680940734 2093416977344 2109939429536 2126822567408 2199724086112 2207950428992 2271833197004 2330445394508 2358492503696 2396128022372 2596380796576 2663366165152 2738432025568 2901166715612 2977113488272 3024620618404 3230844751477 3242927192582 3277398710432 3389738755648 3456709278176 3570023595292 3692394001688 3706202505808 3765344035156 3863913250736 4022072037553 4080026966048 4127361881468 4193224039151 4219878859072 4253645134816 4399448172224 4543666394008 4660890789016 4716985007392 4792256044744 5077041752321 5192761593152 5326732330304 5476864051136 5802333431224 5954226976544 6049241236808 6247541291761 6461689502954 6485854385164 6554797420864 6589352061523 6913418556352 7140047190584 7384788003376 7412405011616 7530688070312 7727826501472 8044144075106 8160053932096 8254723762936 8386448078302 8507290269632 9087332788016 9321781578032 9433970014784 9584512089488 10154083504642 11350245174037 11604666862448 11908453953088 12098482473616 12495082583522 12923379005908 12971708770328 13178704123046 14280094381168 14769576006752 14824810023232 15061376140624 15455653002944 16088288150212 16509447525872 16772896156604 18174665576032 18643563156064 19169024178976 20308167009284 22700490348074 23209333724896 24196964947232 24990165167044 25846758011816 25943417540656 26357408246092 28154504262871 28560188762336 29539152013504 30122752281248 32176576300424 33018895051744 33545792313208 35539292266247 36349331152064 37287126312128 38338048357952 40616334018568 44242792413083 45400980696148 46125464430661 46418667449792 48393929894464 49980330334088 51693516023632 51886835081312 52714816492184 56309008525742 57120377524672 60245504562496 64353152600848 66037790103488 67091584626416 71078584532494 81232668037136 88485584826166 90801961392296 92250928861322 99960660668176 103387032047264 103773670162624 105429632984368 112618017051484 128706305201696 134183169252832 142157169064988 162465336074272 176971169652332 181603922784592 184501857722644 197081529840097 199921321336352 206774064094528 210859265968736 225236034102968 257412610403392 268366338505664 284314338129976 309699546891581 324930672148544 353942339304664 363207845569184 369003715445288 394163059680194 399842642672704 421718531937472 450472068205936 568628676259952 619399093783162 707884678609328 726415691138368 738007430890576 788326119360388 900944136411872 1137257352519904 1238798187566324 1415769357218656 1476014861781152 1576652238720776 1801888272823744 2167896828241067 2274514705039808 2477596375132648 2831538714437312 2952029723562304 3153304477441552 4335793656482134 4955192750265296 6306608954883104 8671587312964268 9910385500530592 12613217909766208 17343174625928536 19820771001061184 34686349251857072 69372698503714144 138745397007428288
- Sum of all divisors σ(n): 365721881375305728
- Sum of proper divisors (its aliquot sum) s(n): 226976484367877440
- 138745397007428288 is an abundant number, because the sum of its proper divisors (226976484367877440) is greater than itself. Its abundance is 88231087360449152
Bases of 138745397007428288
- Binary: 1111011001110110000110100000101101101100100101010110000002
- Hexadecimal: 0x1ECEC3416D92AC0
- Base-36: 11Y54ZGM8A0W
Squares and roots of 138745397007428288
- 138745397007428288 squared (1387453970074282882) is 19250285190748890535235851462610944
- 138745397007428288 cubed (1387453970074282883) is 2670888461296672207099858394389192134414263323983872
-
The
square root of 138745397007428288 is 372485431.9398656535 -
The
cube root of 138745397007428288 is 517693.6778164385
Scales and comparisons
How big is 138745397007428288?- 138,745,397,007,428,288 seconds is equal to 4,411,674,457 years, 7 weeks, 3 days, 18 hours, 58 minutes, 8 seconds.
-
To count from 1 to 138,745,397,007,428,288 would take you about thirteen billion, two hundred thirty-five million, twenty-three thousand, three hundred seventy-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 138745397007428288 cubic inches would be around 43141.1 feet tall.
Recreational maths with 138745397007428288
- 138745397007428288 backwards is 882824700793547831
- The number of decimal digits it has is: 18
- The sum of 138745397007428288's digits is 86
- More coming soon!
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"Number 138745397007428288 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138745397007428288 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138745397007428288/
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The information we have on file for 138745397007428288 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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