138292700465672064
138,292,700,465,672,064 is an even composite number composed of five prime numbers multiplied together.
What does the number 138292700465672064 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
138292700465672064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138292700465672064:
27 × 32 × 136 × 373 × 491
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 37 × 37 × 37 × 491)See below for interesting mathematical facts about the number 138292700465672064 from the Numbermatics database.
Names of 138292700465672064
- Cardinal: 138292700465672064 can be written as One hundred thirty-eight quadrillion, two hundred ninety-two trillion, seven hundred billion, four hundred sixty-five million, six hundred seventy-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38292700465672064 × 1017
Factors of 138292700465672064
Divisors of 138292700465672064
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 169 192 208 222 234 288 296 312 333 338 384 416 444 468 481 491 507 576 592 624 666 676 832 888 936 962 982 1014 1152 1184 1248 1332 1352 1369 1443 1473 1521 1664 1776 1872 1924 1964 2028 2197 2368 2496 2664 2704 2738 2886 2946 3042 3552 3744 3848 3928 4056 4107 4329 4394 4419 4736 4992 5328 5408 5476 5772 5892 6084 6253 6383 6591 7104 7488 7696 7856 8112 8214 8658 8788 8838 10656 10816 10952 11544 11784 12168 12321 12506 12766 13182 14208 14976 15392 15712 16224 16428 17316 17576 17676 17797 18167 18759 19149 19773 21312 21632 21904 23088 23568 24336 24642 25012 25532 26364 28561 30784 31424 32448 32856 34632 35152 35352 35594 36334 37518 38298 39546 42624 43808 46176 47136 48672 49284 50024 50653 51064 52728 53391 54501 56277 57122 57447 61568 62848 64896 65712 69264 70304 70704 71188 72668 75036 76596 79092 81289 82979 85683 87616 92352 94272 97344 98568 100048 101306 102128 105456 106782 109002 112554 114244 114894 131424 138528 140608 141408 142376 145336 150072 151959 153192 158184 160173 162578 163503 165958 171366 175232 184704 188544 194688 197136 200096 202612 204256 210912 213564 218004 225108 228488 229788 231361 236171 243867 248937 257049 262848 277056 281216 282816 284752 290672 300144 303918 306384 316368 320346 325156 327006 331916 342732 371293 394272 400192 405224 408512 421824 427128 436008 450216 455877 456976 459576 462722 472342 487734 497874 514098 525696 554112 565632 569504 581344 600288 607836 612768 632736 640692 650312 654012 658489 663832 672179 685464 694083 708513 731601 742586 746811 788544 800384 810448 817024 843648 854256 872016 900432 911754 913952 919152 925444 944684 975468 995748 1028196 1056757 1078727 1113879 1139008 1162688 1200576 1215672 1225536 1265472 1281384 1300624 1308024 1316978 1327664 1344358 1370928 1388166 1417026 1463202 1485172 1493622 1577088 1620896 1708512 1744032 1800864 1823508 1827904 1838304 1850888 1889368 1950936 1975467 1991496 2016537 2056392 2082249 2113514 2125539 2157454 2227758 2278016 2325376 2401152 2431344 2451072 2530944 2562768 2601248 2616048 2633956 2655328 2688716 2741856 2776332 2834052 2926404 2970344 2987244 3007693 3070223 3170271 3236181 3241792 3341637 3417024 3488064 3601728 3647016 3655808 3676608 3701776 3778736 3901872 3950934 3982992 4033074 4112784 4164498 4227028 4251078 4314908 4455516 4826809 4862688 5125536 5202496 5232096 5267912 5310656 5377432 5483712 5552664 5668104 5852808 5926401 5940688 5974488 6015386 6049611 6140446 6340542 6472362 6483584 6683274 6834048 6976128 7203456 7294032 7353216 7403552 7557472 7803744 7901868 7965984 8066148 8225568 8328996 8454056 8502156 8560357 8629816 8738327 8911032 9023079 9210669 9510813 9653618 9708543 9725376 10251072 10404992 10464192 10535824 10621312 10754864 10967424 11105328 11336208 11705616 11852802 11881376 11948976 12030772 12099222 12280892 12681084 12944724 13366548 13737841 14023451 14480427 14588064 14807104 15114944 15607488 15803736 15931968 16132296 16451136 16657992 16908112 17004312 17120714 17259632 17476654 17822064 18046158 18421338 19021626 19307236 19417086 19450752 20502144 20928384 21071648 21509728 22210656 22672416 23411232 23705604 23762752 23897952 24061544 24198444 24561784 24870623 25362168 25681071 25889448 26214981 26733096 27069237 27475682 27632007 28046902 28960854 29176128 29614208 30229888 31214976 31607472 31863936 32264592 32902272 33315984 33816224 34008624 34241428 34519264 34953308 35644128 36092316 36842676 38043252 38614472 38834172 39100009 39912899 41213523 42070353 42143296 43019456 43441281 44421312 45344832 46822464 47411208 47525504 47795904 48123088 48396888 49123568 49741246 50724336 51362142 51778896 52429962 53466192 54138474 54951364 55264014 56093804 57921708 58352256 63214944 64529184 66631968 67632448 68017248 68482856 69038528 69906616 71288256 72184632 73685352 74611869 76086504 77043213 77228944 77668344 78200018 78644943 79825798 82427046 84140706 84286592 86038912 86882562 88842624 90689664 93644928 94822416 95591808 96246176 96793776 98247136 99482492 101448672 102724284 103557792 104859924 106932384 108276948 109902728 110528028 111284641 112187608 113598251 115843416 117300027 119738697 123640569 126211059 126429888 129058368 133263936 135264896 136034496 136965712 138077056 139813232 142576512 144369264 147370704 149223738 152173008 154086426 154457888 155336688 156400036 157289886 159651596 164854092 168281412 173765124 178591933 182304863 189644832 192492352 193587552 196494272 198964984 202897344 205448568 207115584 209719848 213864768 216553896 219805456 221056056 222569282 223835607 224375216 227196502 231686832 234600054 239477394 247281138 252422118 252859776 258116736 266527872 272068992 273931424 279626464 288738528 294741408 298447476 304346016 308172852 308915776 310673376 312800072 314579772 319303192 323318099 329708184 333853923 336562824 340794753 347530248 351900081 357183866 359216091 364609726 379289664 384984704 387175104 392988544 397929968 405794688 410897136 414231168 419439696 427729536 433107792 439610912 442112112 445138564 447671214 448750432 454393004 463373664 469200108 478954788 494562276 504844236 508300117 518867687 535775799 546914589 547862848 559252928 577477056 589482816 596894952 608692032 616345704 617831552 621346752 625600144 629159544 638606384 646636198 659416368 667707846 673125648 681589506 695060496 703800162 714367732 718432182 729219452 758579328 774350208 795859936 821794272 838879392 866215584 879221824 884224224 890277128 895342428 897500864 908786008 926747328 938400216 957909576 969954297 989124552 1001561769 1009688472 1016600234 1022384259 1037735374 1071551598 1093829178 1095725696 1118505856 1154954112 1178965632 1193789904 1217384064 1232691408 1242693504 1251200288 1258319088 1277212768 1293272396 1318832736 1335415692 1346251296 1363179012 1390120992 1407600324 1428735464 1436864364 1446700333 1458438904 1476777263 1524900351 1556603061 1591719872 1607327397 1640743767 1643588544 1677758784 1732431168 1758443648 1768448448 1780554256 1790684856 1795001728 1817572016 1853494656 1876800432 1915819152 1939908594 1978249104 2003123538 2019376944 2033200468 2044768518 2075470748 2143103196 2187658356 2369963219 2387579808 2465382816 2502400576 2516638176 2554425536 2586544792 2637665472 2670831384 2692502592 2726358024 2780241984 2815200648 2857470928 2873728728 2893400666 2909862891 2916877808 2953554526 3049800702 3113206122 3183439744 3214654794 3281487534 3287177088 3355517568 3464862336 3536896896 3561108512 3581369712 3635144032 3753600864 3831638304 3879817188 3956498208 4006247076 4038753888 4066400936 4089537036 4150941496 4203135287 4286206392 4340100999 4375316712 4430331789 4574701053 4669809183 4739926438 4775159616 4930765632 5004801152 5033276352 5108851072 5173089584 5275330944 5341662768 5385005184 5452716048 5560483968 5630401296 5714941856 5747457456 5786801332 5819725782 5833755616 5907109052 6099601404 6226412244 6429309588 6562975068 6607901521 6745279931 7109889657 7122217024 7162739424 7270288064 7507201728 7663276608 7759634376 7912996416 8012494152 8077507776 8132801872 8179074072 8301882992 8406270574 8572412784 8680201998 8750633424 8860663578 9149402106 9339618366 9479852876 9550319232 9861531264 10066552704 10346179168 10683325536 10905432096 11260802592 11429883712 11494914912 11573602664 11639451564 11667511232 11814218104 12199202808 12452824488 12609405861 12858619176 13020302997 13125950136 13215803042 13290995367 13490559862 14219779314 14244434048 14325478848 14540576128 15014403456 15326553216 15519268752 15825992832 16024988304 16155015552 16265603744 16358148144 16603765984 16812541148 17144825568 17360403996 17501266848 17721327156 18298804212 18679236732 18807104329 18959705752 19198104419 19823704563 20235839793 20692358336 21329668971 21366651072 21810864192 22521605184 22859767424 22989829824 23147205328 23278903128 23335022464 23628436208 24398405616 24905648976 25218811722 25717238352 26040605994 26251900272 26431606084 26581990734 26981119724 28439558628 28650957696 31038537504 32049976608 32531207488 32716296288 33207531968 33625082296 34289651136 34720807992 35002533696 35442654312 36597608424 37358473464 37614208658 37828217583 37919411504 38396208838 39647409126 40471679586 41384716672 42659337942 42733302144 43621728384 45043210368 45979659648 46294410656 46557806256 47256872416 48796811232 49811297952 50437623444 51434476704 52081211988 52503800544 52863212168 53163981468 53962239448 54640758731 56421312987 56879117256 57594313257 59471113689 60707519379 62077075008 64099953216 65062414976 65432592576 66415063936 67250164592 68579302272 69441615984 70005067392 70885308624 73195216848 74716946928 75228417316 75656435166 75838823008 76792417676 79294818252 80943359172 85318675884 87688639103 92588821312 93115612512 94513744832 97593622464 99622595904 100875246888 102868953408 104162423976 105007601088 105726424336 106327962936 107924478896 109281517462 112842625974 113758234512 115188626514 118942227378 121415038758 124154150016 128199906432 130865185152 134500329184 138883231968 141770617248 146390433696 149433893856 150456834632 151312870332 151677646016 153584835352 158589636504 161886718344 163922276193 169263938961 170637351768 172782939771 175377278206 185177642624 186231225024 189027489664 195187244928 199245191808 201750493776 205737906816 208324847952 210015202176 211452848672 212655925872 215848957792 218563034924 225685251948 227516469024 230377253028 237884454756 242830077516 244492356277 249575357447 263065917309 269000658368 277766463936 283541234496 292780867392 298867787712 300913669264 302625740664 303355292032 307169670704 317179273008 323773436688 327844552386 338527877922 341274703536 345565879542 350754556412 372462450048 403500987552 416649695904 422905697344 425311851744 431697915584 437126069848 451370503896 455032938048 460754506056 475768909512 485660155032 488984712554 491766828579 499150714894 526131834618 538001316736 555532927872 567082468992 585561734784 597735575424 601827338528 605251481328 614339341408 634358546016 647546873376 655689104772 677055755844 682549407072 691131759084 701509112824 710329863503 733477068831 748726072341 789197751927 807001975104 833299391808 845811394688 850623703488 863395831168 874252139696 902741007792 910065876096 921509012112 951537819024 971320310064 977969425108 983533657158 998301429788 1052263669236 1203654677056 1210502962656 1228678682816 1268717092032 1295093746752 1311378209544 1354111511688 1365098814144 1382263518168 1403018225648 1420659727006 1466954137662 1497452144682 1578395503854 1614003950208 1666598783616 1701247406976 1748504279392 1805482015584 1843018024224 1903075638048 1942640620128 1955938850216 1967067314316 1996602859576 2104527338472 2130989590509 2200431206493 2246178217023 2407309354112 2421005925312 2457357365632 2537434184064 2590187493504 2622756419088 2708223023376 2730197628288 2764527036336 2806036451296 2841319454012 2933908275324 2994904289364 3156791007708 3244479646811 3497008558784 3610964031168 3686036048448 3806151276096 3885281240256 3911877700432 3934134628632 3993205719152 4209054676944 4261979181018 4400862412986 4492356434046 4842011850624 5245512838176 5416446046752 5529054072672 5612072902592 5682638908024 5867816550648 5989808578728 6313582015416 6392968771527 6488959293622 6994017117568 7221928062336 7372072096896 7612302552192 7770562480512 7823755400864 7868269257264 7986411438304 8418109353888 8523958362036 8801724825972 8984712868092 9234288225539 9733438940433 10491025676352 10832892093504 11058108145344 11224145805184 11365277816048 11735633101296 11979617157456 12627164030832 12785937543054 12977918587244 15647510801728 15736538514528 15972822876608 16836218707776 17047916724072 17603449651944 17969425736184 18468576451078 19466877880866 20982051352704 21665784187008 22116216290688 22730555632096 23471266202592 23959234314912 25254328061664 25571875086108 25955837174488 27702864676617 29200316821299 31295021603456 31473077029056 31945645753216 33672437415552 34095833448144 35206899303888 35938851472368 36937152902156 38933755761732 45461111264192 46942532405184 47918468629824 50508656123328 51143750172216 51911674348976 55405729353234 58400633642598 62946154058112 68191666896288 70413798607776 71877702944736 73874305804312 77867511523464 83108594029851 90922222528384 93885064810368 95836937259648 101017312246656 102287500344432 103823348697952 110811458706468 116801267285196 120045746932007 136383333792576 140827597215552 143755405889472 147748611608624 155735023046928 166217188059702 204575000688864 207646697395904 221622917412936 233602534570392 240091493864014 272766667585152 281655194431104 287510811778944 295497223217248 311470046093856 332434376119404 360137240796021 409150001377728 415293394791808 443245834825872 467205069140784 480182987728028 590994446434496 622940092187712 664868752238808 720274481592042 818300002755456 886491669651744 934410138281568 960365975456056 1080411722388063 1181988892868992 1245880184375424 1329737504477616 1440548963184084 1772983339303488 1868820276563136 1920731950912112 2160823444776126 2659475008955232 2881097926368168 3545966678606976 3737640553126272 3841463901824224 4321646889552252 5318950017910464 5762195852736336 7682927803648448 8643293779104504 10637900035820928 11524391705472672 15365855607296896 17286587558209008 23048783410945344 34573175116418016 46097566821890688 69146350232836032 138292700465672064
- Sum of all divisors σ(n): 443991864584408400
- Sum of proper divisors (its aliquot sum) s(n): 305699164118736336
- 138292700465672064 is an abundant number, because the sum of its proper divisors (305699164118736336) is greater than itself. Its abundance is 167406463653064272
Bases of 138292700465672064
- Binary: 1111010110101000001111010011101100100100100101111100000002
- Hexadecimal: 0x1EB507A76492F80
- Base-36: 11TOO5JHJOG0
Squares and roots of 138292700465672064
- 138292700465672064 squared (1382927004656720642) is 19124871002088094307116071190020096
- 138292700465672064 cubed (1382927004656720643) is 2644830056936386352861821884081482888726794305798144
-
The
square root of 138292700465672064 is 371877265.3250962905 -
The
cube root of 138292700465672064 is 517130.0231113803
Scales and comparisons
How big is 138292700465672064?- 138,292,700,465,672,064 seconds is equal to 4,397,280,107 years, 20 weeks, 5 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,292,700,465,672,064 would take you about thirteen billion, one hundred ninety-one million, eight hundred forty thousand, three hundred twenty-two 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 138292700465672064 cubic inches would be around 43094.2 feet tall.
Recreational maths with 138292700465672064
- 138292700465672064 backwards is 460276564007292831
- 138292700465672064 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138292700465672064's digits is 72
- More coming soon!
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"Number 138292700465672064 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138292700465672064 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138292700465672064/
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Numbermatics. 2024. "Number 138292700465672064 - Facts about the integer". https://numbermatics.com/n/138292700465672064/
The information we have on file for 138292700465672064 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 138292700465672064, math, Factors of 138292700465672064, curriculum, school, college, exams, university, Prime factorization of 138292700465672064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred ninety-two trillion, seven hundred billion, four hundred sixty-five million, six hundred seventy-two thousand and sixty-four.