138974322754150308000
138,974,322,754,150,308,000 is an even composite number composed of five prime numbers multiplied together.
138974322754150308000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138974322754150308000:
25 × 39 × 53 × 258407 × 6830917
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 258407 × 6830917)See below for interesting mathematical facts about the number 138974322754150308000 from the Numbermatics database.
Names of 138974322754150308000
- Cardinal: 138974322754150308000 can be written as One hundred thirty-eight quintillion, nine hundred seventy-four quadrillion, three hundred twenty-two trillion, seven hundred fifty-four billion, one hundred fifty million, three hundred eight thousand.
Scientific notation
- Scientific notation: 1.38974322754150308 × 1020
Factors of 138974322754150308000
Divisors of 138974322754150308000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 125 135 144 150 160 162 180 200 216 225 240 243 250 270 288 300 324 360 375 400 405 432 450 480 486 500 540 600 648 675 720 729 750 800 810 864 900 972 1000 1080 1125 1200 1215 1296 1350 1440 1458 1500 1620 1800 1944 2000 2025 2160 2187 2250 2400 2430 2592 2700 2916 3000 3240 3375 3600 3645 3888 4000 4050 4320 4374 4500 4860 5400 5832 6000 6075 6480 6561 6750 7200 7290 7776 8100 8748 9000 9720 10125 10800 10935 11664 12000 12150 12960 13122 13500 14580 16200 17496 18000 18225 19440 19683 20250 21600 21870 23328 24300 26244 27000 29160 30375 32400 32805 34992 36000 36450 38880 39366 40500 43740 48600 52488 54000 54675 58320 60750 64800 65610 69984 72900 78732 81000 87480 91125 97200 98415 104976 108000 109350 116640 121500 131220 145800 157464 162000 164025 174960 182250 194400 196830 209952 218700 243000 258407 262440 273375 291600 314928 324000 328050 349920 364500 393660 437400 486000 492075 516814 524880 546750 583200 629856 656100 729000 775221 787320 820125 874800 972000 984150 1033628 1049760 1093500 1292035 1312200 1458000 1550442 1574640 1640250 1749600 1968300 2067256 2187000 2325663 2460375 2584070 2624400 2916000 3100884 3149280 3280500 3876105 3936600 4134512 4374000 4651326 4920750 5168140 5248800 6201768 6460175 6561000 6830917 6976989 7752210 7873200 8269024 8748000 9302652 9841500 10336280 11628315 12403536 12920350 13122000 13661834 13953978 15504420 15746400 18605304 19380525 19683000 20492751 20672560 20930967 23256630 24807072 25840700 26244000 27323668 27907956 31008840 32300875 34154585 34884945 37210608 38761050 39366000 40985502 41345120 41861934 46513260 51681400 54647336 55815912 58141575 61478253 62017680 62792901 64601750 68309170 69769890 74421216 77522100 78732000 81971004 83723868 93026520 96902625 102463755 103362800 104654835 109294672 111631824 116283150 122956506 124035360 125585802 129203500 136618340 139539780 155044200 163942008 167447736 170772925 174424725 184434759 186053040 188378703 193805250 204927510 206725600 209309670 218589344 223263648 232566300 245913012 251171604 258407000 273236680 279079560 290707875 307391265 310088400 313964505 327884016 334895472 341545850 348849450 368869518 372106080 376757406 387610500 409855020 418619340 465132600 491826024 502343208 512318775 516814000 523274175 546473360 553304277 558159120 565136109 581415750 614782530 620176800 627929010 655768032 669790944 683091700 697698900 737739036 753514812 775221000 819710040 837238680 853864625 872123625 922173795 930265200 941893515 983652048 1004686416 1024637550 1033628000 1046548350 1092946720 1106608554 1116318240 1130272218 1162831500 1229565060 1255858020 1366183400 1395397800 1475478072 1507029624 1536956325 1550442000 1569822525 1639420080 1659912831 1674477360 1695408327 1707729250 1744247250 1844347590 1860530400 1883787030 1967304096 2009372832 2049275100 2093096700 2213217108 2260544436 2325663000 2459130120 2511716040 2561593875 2616370875 2732366800 2766521385 2790795600 2825680545 2950956144 3014059248 3073912650 3100884000 3139645050 3278840160 3319825662 3348954720 3390816654 3415458500 3488494500 3688695180 3767574060 4098550200 4186193400 4426434216 4521088872 4610868975 4651326000 4709467575 4918260240 4979738493 5023432080 5086224981 5123187750 5232741750 5464733600 5533042770 5581591200 5651361090 5901912288 6028118496 6147825300 6279290100 6639651324 6781633308 6830917000 6976989000 7377390360 7535148120 7684781625 7849112625 8197100400 8299564155 8372386800 8477041635 8852868432 9042177744 9221737950 9302652000 9418935150 9836520480 9959476986 10046864160 10172449962 10246375500 10465483500 11066085540 11302722180 12295650600 12558580200 13279302648 13563266616 13661834000 13832606925 13953978000 14128402725 14754780720 14939215479 15070296240 15369563250 15698225250 16394200800 16599128310 16744773600 16954083270 17705736864 18084355488 18443475900 18837870300 19918953972 20344899924 20492751000 20930967000 22132171080 22605444360 23054344875 23547337875 24591301200 24898692465 25117160400 25431124905 26558605296 27126533232 27323668000 27665213850 27907956000 28256805450 29509561440 29878430958 30140592480 30739126500 31396450500 33198256620 33908166540 36886951800 37675740600 39837907944 40689799848 40985502000 41497820775 41861934000 42385208175 44264342160 44817646437 45210888720 46108689750 47094675750 49182602400 49797384930 50234320800 50862249810 53117210592 54253066464 55330427700 56513610900 59756861916 61478253000 62792901000 66396513240 67816333080 69163034625 70642013625 73773903600 74696077395 75351481200 79675815888 81379599696 81971004000 82995641550 83723868000 84770416350 88528684320 89635292874 90421777440 92217379500 94189351500 99594769860 101724499620 110660855400 113027221800 119513723832 122956506000 124493462325 125585802000 127155624525 132793026480 134452939311 135632666160 138326069250 141284027250 147547807200 149392154790 150702962400 159351631776 162759199392 165991283100 169540832700 179270585748 184434759000 188378703000 199189539720 203448999240 207489103875 211926040875 221321710800 224088232185 226054443600 239027447664 245913012000 248986924650 251171604000 254311249050 265586052960 268905878622 271265332320 276652138500 282568054500 298784309580 331982566200 339081665400 358541171496 368869518000 373480386975 376757406000 398379079440 406897998480 414978207750 423852081750 442643421600 448176464370 452108887200 478054895328 497973849300 508622498100 537811757244 553304277000 565136109000 597568619160 622467311625 635778122625 663965132400 672264696555 678163330800 717082342992 737739036000 746960773950 753514812000 796758158880 813795996960 829956415500 847704163500 896352928740 995947698600 1017244996200 1075623514488 1106608554000 1120441160925 1130272218000 1195137238320 1244934623250 1271556245250 1327930264800 1344529393110 1356326661600 1434164685984 1493921547900 1659912831000 1695408327000 1765156769219 1792705857480 1867401934875 1991895397200 2034489992400 2151247028976 2213217108000 2240882321850 2260544436000 2390274476640 2489869246500 2543112490500 2689058786220 2987843095800 3319825662000 3361323482775 3390816654000 3530313538438 3585411714960 3734803869750 3983790794400 4068979984800 4302494057952 4481764643700 4979738493000 5086224981000 5295470307657 5378117572440 5602205804625 5975686191600 6639651324000 6722646965550 6781633308000 7060627076876 7170823429920 7469607739500 8825783846095 8963529287400 9959476986000 10172449962000 10590940615314 10756235144880 11204411609250 11951372383200 13445293931100 14121254153752 14939215479000 15886410922971 16806617413875 17651567692190 17927058574800 19918953972000 20344899924000 21181881230628 21512470289760 22408823218500 26477351538285 26890587862200 28242508307504 29878430958000 31772821845942 33613234827750 35303135384380 35854117149600 42363762461256 44128919230475 44817646437000 47659232768913 52954703076570 53781175724400 56485016615008 59756861916000 63545643691884 67226469655500 70606270768760 79432054614855 84727524922512 88257838460950 89635292874000 95318465537826 105909406153140 107562351448800 127091287383768 132386757691425 134452939311000 141212541537520 142977698306739 158864109229710 169455049845024 176515676921900 179270585748000 190636931075652 211818812306280 220644596152375 238296163844565 254182574767536 264773515382850 268905878622000 282425083075040 285955396613478 317728218459420 353031353843800 381273862151304 397160273074275 423637624612560 428933094920217 441289192304750 476592327689130 508365149535072 529547030765700 537811757244000 571910793226956 635456436918840 661933788457125 706062707687600 714888491533695 762547724302608 794320546148550 847275249225120 857866189840434 882578384609500 953184655378260 1059094061531400 1143821586453912 1191480819222825 1270912873837680 1286799284760651 1323867576914250 1412125415375200 1429776983067390 1525095448605216 1588641092297100 1715732379680868 1765156769219000 1906369310756520 1985801365371375 2118188123062800 2144665474601085 2287643172907824 2382961638445650 2541825747675360 2573598569521302 2647735153828500 2859553966134780 3177282184594200 3431464759361736 3530313538438000 3574442457668475 3812738621513040 3860397854281953 3971602730742750 4236376246125600 4289330949202170 4575286345815648 4765923276891300 5147197139042604 5295470307657000 5719107932269560 5957404096114125 6354564369188400 6433996423803255 6862929518723472 7060627076876000 7148884915336950 7625477243026080 7720795708563906 7943205461485500 8578661898404340 9531846553782600 10294394278085208 10590940615314000 10723327373005425 11438215864539120 11581193562845859 11914808192228250 12709128738376800 12867992847606510 13725859037446944 14297769830673900 15441591417127812 15886410922971000 17157323796808680 17872212288342375 19063693107565200 19301989271409765 20588788556170416 21181881230628000 21446654746010850 22876431729078240 23162387125691718 23829616384456500 25735985695213020 28595539661347800 30883182834255624 31772821845942000 32169982119016275 34314647593617360 34743580688537577 35744424576684750 38127386215130400 38603978542819530 41177577112340832 42893309492021700 46324774251383436 47659232768913000 51471971390426040 53616636865027125 57191079322695600 57905967814229295 61766365668511248 63545643691884000 64339964238032550 68629295187234720 69487161377075154 71488849153369500 77207957085639060 85786618984043400 92649548502766872 95318465537826000 96509946357048825 102943942780852080 107233273730054250 114382158645391200 115811935628458590 123532731337022496 128679928476065100 138974322754150308 142977698306739000 154415914171278120 160849910595081375 171573237968086800 173717903442687885 185299097005533744 190636931075652000 193019892714097650 205887885561704160 214466547460108500 231623871256917180 257359856952130200 277948645508300616 285955396613478000 289529839071146475 308831828342556240 321699821190162750 343146475936173600 347435806885375770 370598194011067488 386039785428195300 428933094920217000 463247742513834360 482549731785244125 514719713904260400 555897291016601232 571910793226956000 579059678142292950 617663656685112480 643399642380325500 694871613770751540 772079570856390600 857866189840434000 868589517213439425 926495485027668720 965099463570488250 1029439427808520800 1111794582033202464 1158119356284585900 1286799284760651000 1389743227541503080 1447649195355732375 1544159141712781200 1715732379680868000 1737179034426878850 1852990970055337440 1930198927140976500 2316238712569171800 2573598569521302000 2779486455083006160 2895298390711464750 3088318283425562400 3474358068853757700 3860397854281953000 4342947586067197125 4632477425138343600 5147197139042604000 5558972910166012320 5790596781422929500 6948716137707515400 7720795708563906000 8685895172134394250 9264954850276687200 11581193562845859000 13897432275415030800 15441591417127812000 17371790344268788500 23162387125691718000 27794864550830061600 34743580688537577000 46324774251383436000 69487161377075154000 138974322754150308000
- Sum of all divisors σ(n): 512183249581870234368
- Sum of proper divisors (its aliquot sum) s(n): 373208926827719926368
- 138974322754150308000 is an abundant number, because the sum of its proper divisors (373208926827719926368) is greater than itself. Its abundance is 234234604073569618368
Bases of 138974322754150308000
- Binary: 11110001000101001111111101000111010001101011001110110011000101000002
- Hexadecimal: 0x788A7FA3A359D98A0
- Base-36: TBV0TVLSKMI00
Squares and roots of 138974322754150308000
- 138974322754150308000 squared (1389743227541503080002) is 19313862384974740049525039056494864000000
- 138974322754150308000 cubed (1389743227541503080003) is 2684130944718722751807303505469136879049839086018112000000000
-
The
square root of 138974322754150308000 is 11788737114.4728775821 -
The
cube root of 138974322754150308000 is 5179782.4771404091
Scales and comparisons
How big is 138974322754150308000?- 138,974,322,754,150,308,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,974,322,754,150,308,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138974322754150308000 cubic inches would be around 431648.5 feet tall.
Recreational maths with 138974322754150308000
- 138974322754150308000 backwards is 000803051457223479831
- 138974322754150308000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138974322754150308000's digits is 72
- More coming soon!
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The information we have on file for 138974322754150308000 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 138974322754150308000, math, Factors of 138974322754150308000, curriculum, school, college, exams, university, Prime factorization of 138974322754150308000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred seventy-four quadrillion, three hundred twenty-two trillion, seven hundred fifty-four billion, one hundred fifty million, three hundred eight thousand.