138367137465216000
138,367,137,465,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138367137465216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2816 divisors.
138367137465216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 138367137465216000:
210 × 33 × 53 × 113 × 3113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 311 × 311 × 311)See below for interesting mathematical facts about the number 138367137465216000 from the Numbermatics database.
Names of 138367137465216000
- Cardinal: 138367137465216000 can be written as One hundred thirty-eight quadrillion, three hundred sixty-seven trillion, one hundred thirty-seven billion, four hundred sixty-five million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38367137465216 × 1017
Factors of 138367137465216000
Divisors of 138367137465216000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225 240 242 250 256 264 270 275 288 297 300 311 320 330 352 360 363 375 384 396 400 432 440 450 480 484 495 500 512 528 540 550 576 594 600 605 622 640 660 675 704 720 726 750 768 792 800 825 864 880 900 933 960 968 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1244 1280 1320 1331 1350 1375 1408 1440 1452 1485 1500 1536 1555 1584 1600 1650 1728 1760 1800 1815 1866 1920 1936 1980 2000 2112 2160 2178 2200 2250 2304 2376 2400 2420 2475 2488 2560 2640 2662 2700 2750 2799 2816 2880 2904 2970 3000 3025 3072 3110 3168 3200 3267 3300 3375 3421 3456 3520 3600 3630 3732 3840 3872 3960 3993 4000 4125 4224 4320 4356 4400 4500 4608 4665 4752 4800 4840 4950 4976 5120 5280 5324 5400 5445 5500 5598 5632 5760 5808 5940 6000 6050 6220 6336 6400 6534 6600 6655 6750 6842 6912 7040 7200 7260 7425 7464 7680 7744 7775 7920 7986 8000 8250 8397 8448 8640 8712 8800 9000 9075 9216 9330 9504 9600 9680 9900 9952 10263 10560 10648 10800 10890 11000 11196 11264 11520 11616 11880 11979 12000 12100 12375 12440 12672 12800 13068 13200 13310 13500 13684 13824 13995 14080 14400 14520 14850 14928 15125 15360 15488 15550 15840 15972 16000 16335 16500 16794 16896 17105 17280 17424 17600 18000 18150 18660 19008 19200 19360 19800 19904 19965 20526 21120 21296 21600 21780 22000 22392 23040 23232 23325 23760 23958 24000 24200 24750 24880 25344 25600 26136 26400 26620 27000 27225 27368 27648 27990 28160 28800 29040 29700 29856 30250 30789 30976 31100 31680 31944 32000 32670 33000 33275 33588 33792 34210 34560 34848 35200 35937 36000 36300 37125 37320 37631 38016 38400 38720 38875 39600 39808 39930 41052 41985 42240 42592 43200 43560 44000 44784 45375 46080 46464 46650 47520 47916 48000 48400 49500 49760 50688 51315 52272 52800 53240 54000 54450 54736 55980 56320 57600 58080 59400 59712 59895 60500 61578 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4003678746100 4044640089600 4094671444875 4119540832000 4158291133440 4192943559552 4235296524800 4323973045788 4331553264000 4367649541200 4449104098560 4466914303500 4494044544000 4574120246784 4634483436000 4658826177280 4764708590400 4804414495320 4913605733850 4943448998400 5004598432625 5055800112000 5082355829760 5124708795008 5197863916800 5241179449440 5294120656000 5404966307235 5459561926500 5561380123200 5590591412736 5717650308480 5765297394384 5775404352000 5823532721600 5932138798080 5955885738000 6005518119150 6179311248000 6289415339328 6352944787200 6405885993760 6497329896000 6551474311800 6741066816000 6930485222400 6951725154000 6988239265920 7147062885600 7206621742980 7279415902000 7415173497600 7623533744640 7687063192512 7861769174160 7941180984000 8007357492200 8089280179200 8189342889750 8239081664000 8385887119104 8470593049600 8647946091576 8663106528000 8735299082400 8898208197120 8933828607000 9008277178725 9148240493568 9268966872000 9317652354560 9529417180800 9608828990640 9827211467700 9886897996800 10009196865250 10111600224000 10249417590016 10395727833600 10482358898880 10588241312000 10809932614470 10919123853000 11122760246400 11181182825472 11435300616960 11530594788768 11550808704000 11647065443200 11911771476000 12011036238300 12284014334625 12358622496000 12578830678656 12705889574400 12811771987520 12994659792000 13102948623600 13482133632000 13903450308000 13976478531840 14294125771200 14413243485960 14558831804000 14830346995200 15013795297875 15247067489280 15374126385024 15723538348320 15882361968000 16014714984400 16378685779500 16478163328000 16771774238208 17295892183152 17326213056000 17470598164800 17796416394240 17867657214000 18016554357450 18537933744000 18635304709120 19058834361600 19217657981280 19654422935400 20018393730500 20223200448000 20498835180032 20791455667200 20964717797760 21176482624000 21619865228940 21838247706000 22245520492800 22870601233920 23061189577536 23294130886400 23823542952000 24022072476600 24568028669250 24717244992000 25157661357312 25411779148800 25623543975040 25989319584000 26205897247200 27024831536175 27806900616000 27952957063680 28588251542400 28826486971920 29117663608000 29660693990400 30027590595750 30748252770048 31447076696640 31764723936000 32029429968800 32757371559000 33543548476416 34591784366304 34652426112000 34941196329600 35735314428000 36033108714900 37075867488000 38117668723200 38435315962560 39308845870800 40036787461000 40446400896000 40997670360064 41929435595520 42352965248000 43239730457880 43676495412000 44491040985600 45041385893625 45741202467840 46122379155072 46588261772800 47647085904000 48044144953200 49136057338500 49434489984000 50315322714624 51247087950080 51978639168000 52411794494400 54049663072350 55613801232000 55905914127360 57176503084800 57652973943840 58235327216000 60055181191500 61496505540096 62894153393280 63529447872000 64058859937600 65514743118000 69183568732608 69882392659200 71470628856000 72066217429800 74151734976000 76235337446400 76870631925120 78617691741600 80073574922000 83858871191040 86479460915760 87352990824000 88982081971200 90082771787250 92244758310144 93176523545600 95294171808000 96088289906400 98272114677000 100630645429248 102494175900160 103957278336000 104823588988800 108099326144700 111227602464000 114353006169600 115305947887680 116470654432000 120110362383000 122993011080192 125788306786560 127058895744000 128117719875200 131029486236000 135124157680875 138367137465216 139764785318400 142941257712000 144132434859600 148303469952000 153741263850240 157235383483200 160147149844000 167717742382080 172958921831520 174705981648000 180165543574500 184489516620288 190588343616000 192176579812800 196544229354000 204988351800320 209647177977600 216198652289400 222455204928000 228706012339200 230611895775360 232941308864000 240220724766000 251576613573120 256235439750400 262058972472000 270248315361750 276734274930432 279529570636800 285882515424000 288264869719200 307482527700480 314470766966400 320294299688000 345917843663040 349411963296000 360331087149000 368979033240576 381176687232000 384353159625600 393088458708000 419294355955200 432397304578800 444910409856000 461223791550720 465882617728000 480441449532000 503153227146240 512470879500800 524117944944000 540496630723500 553468549860864 571765030848000 576529739438400 614965055400960 628941533932800 640588599376000 691835687326080 698823926592000 720662174298000 768706319251200 786176917416000 838588711910400 864794609157600 922447583101440 960882899064000 1024941759001600 1048235889888000 1080993261447000 1106937099721728 1143530061696000 1153059478876800 1257883067865600 1281177198752000 1383671374652160 1397647853184000 1441324348596000 1537412638502400 1572353834832000 1729589218315200 1844895166202880 1921765798128000 2096471779776000 2161986522894000 2306118957753600 2515766135731200 2562354397504000 2767342749304320 2882648697192000 3074825277004800 3144707669664000 3459178436630400 3843531596256000 4192943559552000 4323973045788000 4612237915507200 5124708795008000 5534685498608640 5765297394384000 6289415339328000 6918356873260800 7687063192512000 8647946091576000 9224475831014400 11530594788768000 12578830678656000 13836713746521600 15374126385024000 17295892183152000 23061189577536000 27673427493043200 34591784366304000 46122379155072000 69183568732608000 138367137465216000
- Sum of all divisors σ(n): 564317308921466880
- Sum of proper divisors (its aliquot sum) s(n): 425950171456250880
- 138367137465216000 is an abundant number, because the sum of its proper divisors (425950171456250880) is greater than itself. Its abundance is 287583033991034880
Bases of 138367137465216000
- Binary: 1111010111001010000101101101011010011001110101100000000002
- Hexadecimal: 0x1EB942DAD33AC00
- Base-36: 11UF21FD62O0
Squares and roots of 138367137465216000
- 138367137465216000 squared (1383671374652160002) is 19145464730317981229609926656000000
- 138367137465216000 cubed (1383671374652160003) is 2649103150175352682340475133884915511197696000000000
-
The
square root of 138367137465216000 is 371977334.6122260713 -
The
cube root of 138367137465216000 is 517222.7894028433
Scales and comparisons
How big is 138367137465216000?- 138,367,137,465,216,000 seconds is equal to 4,399,646,973 years, 38 weeks, 2 days.
-
To count from 1 to 138,367,137,465,216,000 would take you about thirteen billion, one hundred ninety-eight million, nine hundred forty thousand, nine hundred twenty-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 138367137465216000 cubic inches would be around 43101.9 feet tall.
Recreational maths with 138367137465216000
- 138367137465216000 backwards is 000612564731763831
- The number of decimal digits it has is: 18
- The sum of 138367137465216000's digits is 63
- More coming soon!
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"Number 138367137465216000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138367137465216000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138367137465216000/
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The information we have on file for 138367137465216000 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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