138229039975891140160
138,229,039,975,891,140,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 138229039975891140160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138229039975891140160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138229039975891140160:
26 × 5 × 232 × 612 × 832 × 3173
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 23 × 61 × 61 × 83 × 83 × 317 × 317 × 317)See below for interesting mathematical facts about the number 138229039975891140160 from the Numbermatics database.
Names of 138229039975891140160
- Cardinal: 138229039975891140160 can be written as One hundred thirty-eight quintillion, two hundred twenty-nine quadrillion, thirty-nine trillion, nine hundred seventy-five billion, eight hundred ninety-one million, one hundred forty thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3822903997589114016 × 1020
Factors of 138229039975891140160
Divisors of 138229039975891140160
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 83 92 115 122 160 166 184 230 244 305 317 320 332 368 415 460 488 529 610 634 664 736 830 920 976 1058 1220 1268 1328 1403 1472 1585 1660 1840 1909 1952 2116 2440 2536 2645 2656 2806 3170 3320 3680 3721 3818 3904 4232 4880 5063 5072 5290 5312 5612 6340 6640 6889 7015 7291 7360 7442 7636 8464 9545 9760 10126 10144 10580 11224 12680 13280 13778 14030 14582 14884 15272 16928 18605 19090 19337 19520 20252 20288 21160 22448 25315 25360 26311 26560 27556 28060 29164 29768 30544 32269 33856 34445 36455 37210 38180 38674 40504 42320 43907 44896 50630 50720 52622 55112 56120 58328 59536 61088 64538 68890 72910 74420 76360 77348 81008 84640 85583 87814 89792 96685 100489 101260 101440 105244 110224 112240 116449 116656 119072 122176 129076 131555 137780 145820 148840 152720 154696 158447 161345 162016 167693 169280 171166 175628 193370 200978 202520 210488 219535 220448 224480 232898 233312 238144 258152 263110 275560 291640 297680 305440 308843 309392 316894 322690 324032 335386 342332 351256 386740 401956 405040 420229 420976 427915 439070 440896 444751 448960 465796 466624 502445 516304 526220 551120 582245 583280 595360 605153 610880 617686 618784 633788 645380 670772 684664 702512 773480 792235 803912 810080 838465 840458 841952 855830 878140 889502 931592 1004890 1032608 1052440 1102240 1164490 1166560 1179557 1190720 1210306 1235372 1237568 1267576 1290760 1341544 1369328 1405024 1544215 1546960 1584470 1604971 1607824 1620160 1676930 1680916 1683904 1711660 1756280 1779004 1863184 1968409 2009780 2065216 2101145 2104880 2183813 2204480 2223755 2311247 2328980 2333120 2359114 2420612 2470744 2535152 2581520 2678327 2683088 2738656 2810048 3025765 3088430 3093920 3168940 3209942 3215648 3353860 3361832 3423320 3512560 3558008 3644281 3726368 3936818 4019560 4202290 4209760 4367626 4447510 4622494 4657960 4718228 4841224 4941488 5070304 5163040 5356654 5366176 5477312 5897785 6051530 6129829 6176860 6187840 6337880 6419884 6431296 6707720 6723664 6846640 7025120 7103389 7116016 7288562 7452736 7873636 8024855 8039120 8340587 8404580 8419520 8735252 8895020 9244988 9315920 9436456 9665267 9682448 9842045 9882976 10140608 10229273 10326080 10713308 10732352 10919065 11556235 11795570 12103060 12259658 12353720 12675760 12839768 13391635 13415440 13447328 13693280 13918519 14050240 14206778 14232032 14577124 15747272 16049710 16078240 16681174 16809160 17470504 17790040 18221405 18489976 18631840 18872912 19330534 19364896 19684090 19765952 20458546 21426616 21838130 23112470 23591140 24206120 24519316 24707440 25351520 25633969 25679536 26783270 26830880 26894656 27129811 27386560 27837038 28413556 28464064 29154248 30649145 31494544 31855013 32099420 32156480 33362348 33618320 34941008 35516945 35580080 36442810 36914333 36979952 37263680 37745824 38661068 38729792 39368180 40917092 41702935 42853232 43676260 46224940 47182280 48326335 48412240 49038632 49414880 50227699 50703040 51146365 51267938 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1546442720 1566451696 1607286368 1633779470 1636683680 1640574016 1698059318 1701077792 1736307904 1778409128 1869597845 1918335010 1943155793 1958064620 1961545280 2009107960 2035103228 2038720832 2050717520 2126347240 2131401488 2170384880 2223011410 2226963040 2251774313 2255777072 2273084480 2310474154 2358325148 2362517312 2495942612 2543879035 2548401040 2614047152 2643966079 2664251860 2668987840 2769074884 2819721340 2930661196 2947906435 2953146640 2991356552 3063889639 3069336016 3092885440 3119928265 3132903392 3214572736 3242679541 3267558940 3273367360 3396118636 3402155584 3461343605 3556818256 3663326495 3739195690 3836670020 3886311586 3916129240 4018215920 4070206456 4101435040 4245148295 4252694480 4262802976 4340769760 4412170523 4446022820 4453926080 4503548626 4511554144 4620948308 4716650296 4991885224 5087758070 5096802080 5228094304 5287932158 5328503720 5538149768 5639442680 5776185385 5861322392 5895812870 5906293280 5982713104 6127779278 6138672032 6239856530 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14648406136360 14837937635348 14951781438320 15540048249008 15824276160080 16417686516083 16446870631952 16573058943680 17194548654068 17225113721792 17555934764560 18547422044185 18965200539680 19425060311260 19459590341440 19676395559918 20189324979244 20558588289940 20607455286728 21493185817585 21531392152240 21809980620632 22338819357949 22378528892656 22550227743040 22841998631072 23437449818176 25236656224055 25759319108410 25805108931040 26772800515954 27262475775790 27973161115820 28552498288840 29296812272720 29675875270696 29903562876640 31080096498016 31648552320160 32835373032166 32893741263904 34389097308136 35111869529120 37094844088370 37930401079360 38850120622520 39352791119836 40378649958488 41117176579880 41214910573456 42986371635170 43062784304480 43619961241264 44677638715898 44757057785312 45683997262144 49190988899795 50473312448110 51518638216820 51610217862080 53545601031908 54524951551580 55946322231640 57104996577680 58593624545440 59246433949343 59351750541392 59807125753280 62160192996032 62703694284317 63297104640320 65670746064332 65787482527808 66932001289885 68778194616272 70223739058240 74189688176740 77700241245040 78705582239672 80757299916976 82088432580415 82234353159760 82429821146912 85318141403251 85972743270340 86125568608960 87239922482528 89355277431796 89514115570624 98381977799590 100946624896220 103037276433640 107091202063816 109049903103160 111694096789745 111892644463280 114209993155360 116088618630653 117187249090880 118492867898686 118703501082784 125407388568634 131341492128664 133864002579770 137556389232544 148379376353480 155400482490080 157411164479344 161514599833952 164176865160830 164468706319520 164859642293824 170636282806502 171945486540680 174479844965056 178710554863592 196763955599180 201893249792440 206074552867280 214182404127632 218099806206320 223388193579490 223785288926560 226278548939057 228419986310720 232177237261306 236985735797372 237407002165568 250814777137268 262682984257328 267728005159540 275112778465088 296232169746715 296758752706960 307887205933471 310800964980160 313518471421585 314822328958688 323029199667904 328353730321660 328937412639040 341272565613004 343890973081360 357421109727184 393527911198360 403786499584880 412149105734560 426590707016255 428364808255264 436199612412640 446776387158980 447570577853120 452557097878114 464354474522612 473971471594744 501629554274536 525365968514656 535456010319080 580443093153265 592464339493430 593517505413920 615774411866942 627036942843170 629644657917376 656707460643320 682545131226008 687781946162720 714842219454368 787055822396720 807572999169760 816570415736597 824298211469120 853181414032510 856729616510528 872399224825280 893552774317960 905114195756228 928708949045224 947942943189488 1003259108549072 1050731937029312 1070912020638160 1131392744695285 1160886186306530 1184928678986860 1187035010827840 1231548823733884 1254073885686340 1313414921286640 1362667980834889 1365090262452016 1375563892325440 1429684438908736 1539436029667355 1574111644793440 1615145998339520 1633140831473194 1706362828065020 1787105548635920 1810228391512456 1857417898090448 1895885886378976 2006518217098144 2141824041276320 2262785489390570 2321772372613060 2369857357973720 2463097647467768 2508147771372680 2626829842573280 2725335961669778 2730180524904032 3078872059334710 3148223289586880 3266281662946388 3412725656130040 3574211097271840 3620456783024912 3714835796180896 3791771772757952 4013036434196288 4082852078682985 4283648082552640 4525570978781140 4643544745226120 4739714715947440 4926195294935536 5016295542745360 5204406625598311 5253659685146560 5450671923339556 5460361049808064 6157744118669420 6532563325892776 6813339904174445 6825451312260080 7081405736469833 7148422194543680 7240913566049824 7429671592361792 8165704157365970 9051141957562280 9287089490452240 9479429431894880 9852390589871072 10032591085490720 10408813251196622 10901343846679112 12315488237338840 13065126651785552 13626679808348890 13650902624520160 14162811472939666 14481827132099648 16331408314731940 18102283915124560 18574178980904480 18781119561941731 18958858863789760 19704781179742144 20065182170981440 20817626502393244 21802687693358224 24630976474677680 26022033127991555 26130253303571104 27253359616697780 27301805249040320 28325622945879332 32662816629463880 35407028682349165 36204567830249120 37148357961808960 37562239123883462 41635253004786488 43605375386716448 49261952949355360 52044066255983110 52260506607142208 54506719233395560 56651245891758664 65325633258927760 70814057364698330 72409135660498240 75124478247766924 83270506009572976 87210750773432896 93905597809708655 98523905898710720 104088132511966220 109013438466791120 113302491783517328 130651266517855520 141628114729396660 150248956495533848 166541012019145952 187811195619417310 208176265023932440 218026876933582240 226604983567034656 261302533035711040 283256229458793320 300497912991067696 333082024038291904 375622391238834620 416352530047864880 431965749924659813 436053753867164480 453209967134069312 566512458917586640 600995825982135392 751244782477669240 832705060095729760 863931499849319626 1133024917835173280 1201991651964270784 1502489564955338480 1665410120191459520 1727862999698639252 2159828749623299065 2266049835670346560 3004979129910676960 3455725999397278504 4319657499246598130 6009958259821353920 6911451998794557008 8639314998493196260 13822903997589114016 17278629996986392520 27645807995178228032 34557259993972785040 69114519987945570080 138229039975891140160
- Sum of all divisors σ(n): 355210729288972600680
- Sum of proper divisors (its aliquot sum) s(n): 216981689313081460520
- 138229039975891140160 is an abundant number, because the sum of its proper divisors (216981689313081460520) is greater than itself. Its abundance is 78752649337190320360
Bases of 138229039975891140160
- Binary: 11101111110010100000011001101111101001111100100001011111110010000002
- Hexadecimal: 0x77E50337D3E42FE40
- Base-36: T676H6K1O7QKG
Squares and roots of 138229039975891140160
- 138229039975891140160 squared (1382290399758911401602) is 19107267492656510898225729922784764825600
- 138229039975891140160 cubed (1382290399758911401603) is 2641179242072462117305436300017055541078343506332247556096000
-
The
square root of 138229039975891140160 is 11757084671.6305968841 -
The
cube root of 138229039975891140160 is 5170506.6051494649
Scales and comparisons
How big is 138229039975891140160?- 138,229,039,975,891,140,160 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,229,039,975,891,140,160 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 138229039975891140160 cubic inches would be around 430875.6 feet tall.
Recreational maths with 138229039975891140160
- 138229039975891140160 backwards is 061041198579930922831
- The number of decimal digits it has is: 21
- The sum of 138229039975891140160's digits is 88
- More coming soon!
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MLA style:
"Number 138229039975891140160 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 138229039975891140160 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138229039975891140160/
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Numbermatics. 2024. "Number 138229039975891140160 - Facts about the integer". https://numbermatics.com/n/138229039975891140160/
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