138478545608400000
138,478,545,608,400,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138478545608400000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
138478545608400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138478545608400000:
27 × 32 × 55 × 23 × 11873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 23 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 138478545608400000 from the Numbermatics database.
Names of 138478545608400000
- Cardinal: 138478545608400000 can be written as One hundred thirty-eight quadrillion, four hundred seventy-eight trillion, five hundred forty-five billion, six hundred eight million, four hundred thousand.
Scientific notation
- Scientific notation: 1.384785456084 × 1017
Factors of 138478545608400000
Divisors of 138478545608400000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 125 128 138 144 150 160 180 184 192 200 207 225 230 240 250 276 288 300 320 345 360 368 375 384 400 414 450 460 480 500 552 575 576 600 625 640 690 720 736 750 800 828 900 920 960 1000 1035 1104 1125 1150 1152 1187 1200 1250 1380 1440 1472 1500 1600 1656 1725 1800 1840 1875 1920 2000 2070 2208 2250 2300 2374 2400 2500 2760 2875 2880 2944 3000 3125 3200 3312 3450 3561 3600 3680 3750 4000 4140 4416 4500 4600 4748 4800 5000 5175 5520 5625 5750 5760 5935 6000 6250 6624 6900 7122 7200 7360 7500 8000 8280 8625 8832 9000 9200 9375 9496 9600 10000 10350 10683 11040 11250 11500 11870 12000 12500 13248 13800 14244 14375 14400 14720 15000 16000 16560 17250 17805 18000 18400 18750 18992 20000 20700 21366 22080 22500 23000 23740 24000 25000 25875 26496 27301 27600 28125 28488 28750 28800 29675 30000 33120 34500 35610 36000 36800 37500 37984 40000 41400 42732 43125 44160 45000 46000 47480 48000 50000 51750 53415 54602 55200 56250 56976 57500 59350 60000 66240 69000 71220 71875 72000 73600 75000 75968 80000 81903 82800 85464 86250 89025 90000 92000 94960 100000 103500 106830 109204 110400 112500 113952 115000 118700 120000 129375 132480 136505 138000 142440 143750 144000 148375 150000 151936 163806 165600 170928 172500 178050 180000 184000 189920 200000 207000 213660 215625 218408 220800 225000 227904 230000 237400 240000 245709 258750 267075 273010 276000 284880 287500 296750 300000 327612 331200 341856 345000 356100 360000 368000 379840 400000 409515 414000 427320 431250 436816 445125 450000 455808 460000 474800 491418 517500 534150 546020 552000 569760 575000 593500 600000 646875 655224 662400 682525 683712 690000 712200 720000 741875 759680 819030 828000 854640 862500 873632 890250 900000 920000 949600 982836 1035000 1068300 1092040 1104000 1139520 1150000 1187000 1200000 1228545 1293750 1310448 1335375 1365050 1367424 1380000 1408969 1424400 1483750 1638060 1656000 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33815256000 35224225000 36457072875 37332042624 38466262669 38887544400 39627253125 40138708872 40507858750 40578307200 41811155075 42269070000 46665053280 48609430500 49141800000 50173386090 50722884000 51850059200 52836337500 53518278496 56358760000 58331316600 60208063308 60761788125 62220071040 63403605000 64812574000 66897848120 67630512000 70448450000 72914145750 75260079135 76932525338 77775088800 79254506250 80277417744 81015717500 83622310150 84538140000 93330106560 97218861000 98283600000 100346772180 101269646875 101445768000 103700118400 105672675000 107036556992 112717520000 115398788007 116662633200 120416126616 121523576250 125433465225 126807210000 129625148000 133795696240 140896900000 145828291500 150520158270 153865050676 155550177600 158509012500 160554835488 162031435000 167244620300 169076280000 182285364375 186660213120 192331313345 194437722000 200693544360 202539293750 202891536000 209055775375 211345350000 214073113984 230797576014 233325266400 240832253232 243047152500 250866930450 253614420000 259250296000 267591392480 281793800000 291656583000 301040316540 303808940625 307730101352 311100355200 317018025000 321109670976 324062870000 334489240600 338152560000 346196364021 364570728750 376300395675 384662626690 388875444000 401387088720 405078587500 418111550750 422690700000 461595152028 466650532800 481664506464 486094305000 501733860900 507228840000 518500592000 535182784960 563587600000 576993940035 583313166000 602080633080 607617881250 615460202704 627167326125 634036050000 642219341952 648125740000 668978481200 692392728042 729141457500 752600791350 769325253380 777750888000 802774177440 810157175000 836223101500 845381400000 911426821875 923190304056 933301065600 961656566725 963329012928 972188610000 1003467721800 1014457680000 1045278876875 1070365569920 1153987880070 1166626332000 1204161266160 1215235762500 1230920405408 1254334652250 1268072100000 1296251480000 1337956962400 1384785456084 1458282915000 1505201582700 1538650506760 1555501776000 1605548354880 1620314350000 1672446203000 1690762800000 1730981820105 1822853643750 1846380608112 1881501978375 1923313133450 1926658025856 1944377220000 2006935443600 2090557753750 2307975760140 2333252664000 2408322532320 2430471525000 2461840810816 2508669304500 2536144200000 2592502960000 2675913924800 2769570912168 2884969700175 2916565830000 3010403165400 3077301013520 3135836630625 3211096709760 3240628700000 3344892406000 3461963640210 3645707287500 3692761216224 3763003956750 3846626266900 3888754440000 4013870887200 4181115507500 4615951520280 4666505328000 4808282833625 4816645064640 4860943050000 4923681621632 5017338609000 5072288400000 5226394384375 5351827849600 5539141824336 5769939400350 5833131660000 6020806330800 6154602027040 6271673261250 6481257400000 6689784812000 6923927280420 7291414575000 7385522432448 7526007913500 7693252533800 7777508880000 8027741774400 8362231015000 8654909100525 9231903040560 9407509891875 9616565667250 9633290129280 9721886100000 10034677218000 10452788768750 11078283648672 11539878800700 11666263320000 12041612661600 12309204054080 12543346522500 12962514800000 13379569624000 13847854560840 14424848500875 14582829150000 14771044864896 15052015827000 15386505067600 15679183153125 16055483548800 16724462030000 17309818201050 18463806081120 18815019783750 19233131334500 19443772200000 20069354436000 20905577537500 22156567297344 23079757601400 23332526640000 24041414168125 24083225323200 24618408108160 25086693045000 26759139248000 27695709121680 28849697001750 29165658300000 30104031654000 30773010135200 31358366306250 33448924060000 34619636402100 36927612162240 37630039567500 38466262669000 38887544400000 40138708872000 41811155075000 43274545502625 44313134594688 46159515202800 47037549459375 48082828336250 48166450646400 50173386090000 55391418243360 57699394003500 58331316600000 60208063308000 61546020270400 62716732612500 66897848120000 69239272804200 72124242504375 73855224324480 75260079135000 76932525338000 80277417744000 83622310150000 86549091005250 92319030405600 94075098918750 96165656672500 100346772180000 110782836486720 115398788007000 116662633200000 120207070840625 120416126616000 123092040540800 125433465225000 133795696240000 138478545608400 144248485008750 150520158270000 153865050676000 167244620300000 173098182010500 184638060811200 188150197837500 192331313345000 200693544360000 216372727513125 221565672973440 230797576014000 240414141681250 240832253232000 250866930450000 276957091216800 288496970017500 301040316540000 307730101352000 334489240600000 346196364021000 360621212521875 369276121622400 376300395675000 384662626690000 401387088720000 432745455026250 461595152028000 480828283362500 501733860900000 553914182433600 576993940035000 602080633080000 615460202704000 668978481200000 692392728042000 721242425043750 752600791350000 769325253380000 865490910052500 923190304056000 961656566725000 1003467721800000 1081863637565625 1107828364867200 1153987880070000 1204161266160000 1384785456084000 1442484850087500 1505201582700000 1538650506760000 1730981820105000 1846380608112000 1923313133450000 2006935443600000 2163727275131250 2307975760140000 2769570912168000 2884969700175000 3010403165400000 3077301013520000 3461963640210000 3846626266900000 4327454550262500 4615951520280000 5539141824336000 5769939400350000 6020806330800000 6923927280420000 7693252533800000 8654909100525000 9231903040560000 11539878800700000 13847854560840000 15386505067600000 17309818201050000 23079757601400000 27695709121680000 34619636402100000 46159515202800000 69239272804200000 138478545608400000
- Sum of all divisors σ(n): 520169878878249600
- Sum of proper divisors (its aliquot sum) s(n): 381691333269849600
- 138478545608400000 is an abundant number, because the sum of its proper divisors (381691333269849600) is greater than itself. Its abundance is 243212787661449600
Bases of 138478545608400000
- Binary: 1111010111111100110000000111010000000000001011100100000002
- Hexadecimal: 0x1EBF980E8005C80
- Base-36: 11VIJPMD5B40
Squares and roots of 138478545608400000
- 138478545608400000 squared (1384785456084000002) is 19176307593817718926150560000000000
- 138478545608400000 cubed (1384785456084000003) is 2655507185731194252190992194405200704000000000000000
-
The
square root of 138478545608400000 is 372127055.7328504703 -
The
cube root of 138478545608400000 is 517361.5684349317
Scales and comparisons
How big is 138478545608400000?- 138,478,545,608,400,000 seconds is equal to 4,403,189,408 years, 4 weeks, 1 day, 16 hours.
-
To count from 1 to 138,478,545,608,400,000 would take you about thirteen billion, two hundred nine million, five hundred sixty-eight thousand, two hundred twenty-four 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 138478545608400000 cubic inches would be around 43113.5 feet tall.
Recreational maths with 138478545608400000
- 138478545608400000 backwards is 000004806545874831
- The number of decimal digits it has is: 18
- The sum of 138478545608400000's digits is 63
- More coming soon!
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The information we have on file for 138478545608400000 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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