136348364064000
136,348,364,064,000 is an even composite number composed of five prime numbers multiplied together.
136348364064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 136348364064000:
28 × 3 × 53 × 113 × 10332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 1033 × 1033)See below for interesting mathematical facts about the number 136348364064000 from the Numbermatics database.
Names of 136348364064000
- Cardinal: 136348364064000 can be written as One hundred thirty-six trillion, three hundred forty-eight billion, three hundred sixty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.36348364064 × 1014
Factors of 136348364064000
Divisors of 136348364064000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 128 132 150 160 165 176 192 200 220 240 242 250 256 264 275 300 320 330 352 363 375 384 400 440 480 484 500 528 550 600 605 640 660 704 726 750 768 800 825 880 960 968 1000 1033 1056 1100 1200 1210 1280 1320 1331 1375 1408 1452 1500 1600 1650 1760 1815 1920 1936 2000 2066 2112 2200 2400 2420 2640 2662 2750 2816 2904 3000 3025 3099 3200 3300 3520 3630 3840 3872 3993 4000 4125 4132 4224 4400 4800 4840 5165 5280 5324 5500 5808 6000 6050 6198 6400 6600 6655 7040 7260 7744 7986 8000 8250 8264 8448 8800 9075 9600 9680 10330 10560 10648 11000 11363 11616 12000 12100 12396 13200 13310 14080 14520 15125 15488 15495 15972 16000 16500 16528 17600 18150 19200 19360 19965 20660 21120 21296 22000 22726 23232 24000 24200 24792 25825 26400 26620 29040 30250 30976 30990 31944 32000 33000 33056 33275 34089 35200 36300 38720 39930 41320 42240 42592 44000 45375 45452 46464 48000 48400 49584 51650 52800 53240 56815 58080 60500 61980 63888 66000 66112 66550 68178 70400 72600 77440 77475 79860 82640 85184 88000 90750 90904 92928 96000 96800 99168 99825 103300 105600 106480 113630 116160 121000 123960 124993 127776 129125 132000 132224 133100 136356 145200 154880 154950 159720 165280 166375 170368 170445 176000 181500 181808 193600 198336 199650 206600 211200 212960 227260 232320 242000 247920 249986 255552 258250 264000 264448 266200 272712 284075 290400 309900 319440 330560 332750 340736 340890 352000 363000 363616 374979 387200 387375 396672 399300 413200 425920 454520 464640 484000 495840 499125 499972 511104 516500 528000 532400 545424 568150 580800 619800 624965 638880 661120 665500 681780 726000 727232 749958 774400 774750 793344 798600 826400 851840 852225 909040 968000 991680 998250 999944 1022208 1033000 1056000 1064800 1067089 1090848 1136300 1161600 1239600 1249930 1277760 1322240 1331000 1363560 1374923 1420375 1452000 1454464 1499916 1549500 1597200 1652800 1703680 1704450 1818080 1874895 1936000 1983360 1996500 1999888 2066000 2129600 2134178 2181696 2272600 2323200 2479200 2499860 2555520 2662000 2727120 2749846 2840750 2904000 2908928 2999832 3099000 3124825 3194400 3201267 3305600 3408900 3636160 3749790 3872000 3966720 3993000 3999776 4124769 4132000 4259200 4261125 4268356 4363392 4545200 4958400 4999720 5111040 5324000 5335445 5454240 5499692 5681500 5808000 5999664 6198000 6249650 6388800 6402534 6611200 6817800 6874615 7272320 7499580 7986000 7999552 8249538 8264000 8518400 8522250 8536712 8726784 9090400 9374475 9916800 9999440 10648000 10670890 10908480 10999384 11363000 11616000 11737979 11999328 12396000 12499300 12777600 12805068 13635600 13749230 14544640 14999160 15624125 15972000 15999104 16006335 16499076 16528000 17044500 17073424 18180800 18748950 19833600 19998880 20623845 21296000 21341780 21816960 21998768 22726000 23475958 23998656 24792000 24998600 25555200 25610136 26677225 27271200 27498460 29998320 31248250 31944000 31998208 32012670 32998152 33056000 34089000 34146848 34373075 35213937 36361600 37497900 39997760 41247690 42592000 42683560 43633920 43997536 45452000 46872375 46951916 47997312 49584000 49997200 51220272 53354450 54542400 54996920 58689895 59996640 62496500 63888000 64025340 65996304 68178000 68293696 68746150 70427874 72723200 74995800 79995520 80031675 82495380 85367120 87995072 90904000 93744750 93903832 95994624 99168000 99994400 102440544 103119225 106708900 109084800 109993840 117379790 119993280 124993000 127776000 128050680 129117769 131992608 133386125 136356000 136587392 137492300 140855748 149991600 159991040 160063350 164990760 170734240 171865375 175990144 176069685 181808000 187489500 187807664 199988800 204881088 206238450 213417800 218169600 219987680 234759580 239986560 249986000 256101360 258235538 263985216 266772250 272712000 273174784 274984600 281711496 293449475 299983200 320126700 329981520 341468480 343730750 351980288 352139370 363616000 374979000 375615328 387353307 399977600 400158375 409762176 412476900 426835600 439975360 469519160 479973120 499972000 512202720 515596125 516471076 527970432 533544500 545424000 549969200 563422992 586898950 599966400 640253400 645588845 659963040 682936960 687461500 704278740 749958000 751230656 774706614 799955200 800316750 819524352 824953800 853671200 879950720 880348425 939038320 999944000 1024405440 1031192250 1032942152 1055940864 1067089000 1090848000 1099938400 1126845984 1173797900 1199932800 1280506800 1291177690 1319926080 1365873920 1374923000 1408557480 1420295459 1467247375 1499916000 1502461312 1549413228 1600633500 1649907600 1707342400 1759901440 1760696850 1878076640 1936766535 1999888000 2048810880 2062384500 2065884304 2134178000 2199876800 2253691968 2347595800 2399865600 2561013600 2582355380 2639852160 2749846000 2817114960 2840590918 2934494750 2999832000 3004922624 3098826456 3201267000 3227944225 3299815200 3414684800 3521393700 3756153280 3873533070 3999776000 4097621760 4124769000 4131768608 4260886377 4268356000 4399753600 4401742125 4507383936 4695191600 5122027200 5164710760 5279704320 5499692000 5634229920 5681181836 5868989500 5999664000 6197652912 6402534000 6455888450 6599630400 6829369600 7042787400 7101477295 7512306560 7747066140 8249538000 8263537216 8521772754 8536712000 8799507200 8803484250 9014767872 9390383200 9683832675 10244054400 10329421520 10999384000 11268459840 11362363672 11737979000 11999328000 12395305824 12805068000 12911776900 13199260800 14085574800 14202954590 15024613120 15494132280 16139721125 16499076000 16527074432 17043545508 17073424000 17606968500 18780766400 19367665350 20488108800 20658843040 21304431885 21998768000 22536919680 22724727344 23475958000 24790611648 25610136000 25823553800 26398521600 28171149600 28405909180 30988264560 32279442250 32998152000 33054148864 34087091016 34146848000 35213937000 35507386475 37561532800 38735330700 41317686080 42608863770 43997536000 45073839360 45449454688 46951916000 48419163375 49581223296 51220272000 51647107600 56342299200 56811818360 61976529120 64558884500 65996304000 68174182032 70427874000 71014772950 75123065600 77470661400 82635372160 85217727540 90898909376 93903832000 96838326750 99162446592 102440544000 103294215200 106522159425 112684598400 113623636720 123953058240 129117769000 131992608000 136348364064 140855748000 142029545900 154941322800 165270744320 170435455080 177536932375 181797818752 187807664000 193676653500 206588430400 213044318850 225369196800 227247273440 247906116480 258235538000 272696728128 281711496000 284059091800 309882645600 340870910160 355073864750 363595637504 375615328000 387353307000 413176860800 426088637700 454494546880 495812232960 516471076000 532610797125 545393456256 563422992000 568118183600 619765291200 681741820320 710147729500 774706614000 826353721600 852177275400 908989093760 1032942152000 1065221594250 1090786912512 1126845984000 1136236367200 1239530582400 1363483640640 1420295459000 1549413228000 1704354550800 1817978187520 2065884304000 2130443188500 2272472734400 2479061164800 2726967281280 2840590918000 3098826456000 3408709101600 4131768608000 4260886377000 4544945468800 5453934562560 5681181836000 6197652912000 6817418203200 8521772754000 9089890937600 11362363672000 12395305824000 13634836406400 17043545508000 22724727344000 27269672812800 34087091016000 45449454688000 68174182032000 136348364064000
- Sum of all divisors σ(n): 498617863406208
- Sum of proper divisors (its aliquot sum) s(n): 362269499342208
- 136348364064000 is an abundant number, because the sum of its proper divisors (362269499342208) is greater than itself. Its abundance is 225921135278208
Bases of 136348364064000
- Binary: 111110000000010000100111100111001000101000000002
- Hexadecimal: 0x7C0213CE4500
- Base-36: 1CBXKNJX1C
Squares and roots of 136348364064000
- 136348364064000 squared (1363483640640002) is 18590876382929086596096000000
- 136348364064000 cubed (1363483640640003) is 2534835581328434573899479929094144000000000
-
The
square root of 136348364064000 is 11676830.2233097489 -
The
cube root of 136348364064000 is 51469.5033022099
Scales and comparisons
How big is 136348364064000?- 136,348,364,064,000 seconds is equal to 4,335,456 years, 11 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 136,348,364,064,000 would take you about ten million, eight hundred thirty-eight thousand, six hundred forty 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 136348364064000 cubic inches would be around 4289.1 feet tall.
Recreational maths with 136348364064000
- 136348364064000 backwards is 000460463843631
- 136348364064000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136348364064000's digits is 48
- More coming soon!
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The information we have on file for 136348364064000 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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