135327839789875200
135,327,839,789,875,200 is an even composite number composed of six prime numbers multiplied together.
135327839789875200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 135327839789875200:
215 × 3 × 52 × 133 × 61 × 6412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 61 × 641 × 641)See below for interesting mathematical facts about the number 135327839789875200 from the Numbermatics database.
Names of 135327839789875200
- Cardinal: 135327839789875200 can be written as One hundred thirty-five quadrillion, three hundred twenty-seven trillion, eight hundred thirty-nine billion, seven hundred eighty-nine million, eight hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.353278397898752 × 1017
Factors of 135327839789875200
Divisors of 135327839789875200
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 96 100 104 120 122 128 130 150 156 160 169 183 192 195 200 208 240 244 256 260 300 305 312 320 325 338 366 384 390 400 416 480 488 507 512 520 600 610 624 640 641 650 676 732 768 780 793 800 832 845 915 960 975 976 1014 1024 1040 1200 1220 1248 1280 1282 1300 1352 1464 1525 1536 1560 1586 1600 1664 1690 1830 1920 1923 1950 1952 2028 2048 2080 2197 2379 2400 2440 2496 2535 2560 2564 2600 2704 2928 3050 3072 3120 3172 3200 3205 3328 3380 3660 3840 3846 3900 3904 3965 4056 4096 4160 4225 4394 4575 4758 4800 4880 4992 5070 5120 5128 5200 5408 5856 6100 6144 6240 6344 6400 6410 6591 6656 6760 7320 7680 7692 7800 7808 7930 8112 8192 8320 8333 8450 8788 9150 9516 9600 9615 9760 9984 10140 10240 10256 10309 10400 10816 10985 11712 11895 12200 12288 12480 12675 12688 12800 12820 13182 13312 13520 14640 15360 15384 15600 15616 15860 16025 16224 16384 16640 16666 16900 17576 18300 19032 19200 19230 19520 19825 19968 20280 20480 20512 20618 20800 21632 21970 23424 23790 24400 24576 24960 24999 25350 25376 25600 25640 26364 26624 27040 29280 30720 30768 30927 31200 31232 31720 32050 32448 32768 32955 33280 33332 33800 35152 36600 38064 38400 38460 39040 39101 39650 39936 40560 40960 41024 41236 41600 41665 43264 43940 46848 47580 48075 48800 49152 49920 49998 50700 50752 51200 51280 51545 52728 53248 54080 54925 58560 59475 61440 61536 61854 62400 62464 63440 64100 64896 65910 66560 66664 67600 70304 73200 76128 76800 76920 78080 78202 79300 79872 81120 81920 82048 82472 83200 83330 86528 87880 93696 95160 96150 97600 98304 99840 99996 101400 101504 102400 102560 103090 105456 106496 108160 108329 109850 117120 117303 118950 122880 123072 123708 124800 124928 124995 126880 128200 129792 131820 133120 133328 134017 135200 140608 146400 152256 153600 153840 154635 156160 156404 158600 159744 162240 163840 164096 164775 164944 166400 166660 173056 175760 187392 190320 192300 195200 195505 199680 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8007564484608 8119995187200 8132682679680 8259755846550 8341213004800 8444794994688 8532650680320 8665973347200 8674861524992 8796661452800 8810406236320 9243704903680 10009455605760 10165853349600 10266108313600 10555993743360 10572487483584 10665813350400 10676752646144 10843576906240 11013007795400 11092445884416 11376867573760 11554631129600 12319329976320 12511819507200 13012292287488 13127154892800 13194992179200 13215609354480 13345940807680 13554471132800 13865557355520 14074658324480 14096649978112 14221084467200 14789927845888 15399162470400 16015128969216 16239990374400 16265365359360 16519511693100 16682426009600 17065301360640 17331946694400 17349723049984 17593322905600 17620812472640 18487409807360 20018911211520 20331706699200 20532216627200 21111987486720 21144974967168 21331626700800 21687153812480 22026015590800 22184891768832 23109262259200 25023639014400 26024584574976 26389984358400 26431218708960 26691881615360 27108942265600 27731114711040 28193299956224 28442168934400 29579855691776 30798324940800 32030257938432 32530730718720 33039023386200 33364852019200 34130602721280 34663893388800 34699446099968 35186645811200 35241624945280 36974819614720 40037822423040 40663413398400 42223974973440 42289949934336 42663253401600 43374307624960 44052031181600 44369783537664 46218524518400 50047278028800 52049169149952 52779968716800 52862437417920 53383763230720 54217884531200 55462229422080 56386599912448 56884337868800 61596649881600 65061461437440 66078046772400 66729704038400 69327786777600 69398892199936 70373291622400 70483249890560 73949639229440 80075644846080 81326826796800 84579899868672 85326506803200 86748615249920 88104062363200 88739567075328 92437049036800 100094556057600 104098338299904 105559937433600 105724874835840 108435769062400 110924458844160 112773199824896 130122922874880 132156093544800 133459408076800 138655573555200 138797784399872 140966499781120 147899278458880 160151289692160 162653653593600 169159799737344 170653013606400 173497230499840 176208124726400 184874098073600 200189112115200 208196676599808 211119874867200 211449749671680 216871538124800 221848917688320 225546399649792 260245845749760 264312187089600 266918816153600 277311147110400 281932999562240 325307307187200 338319599474688 346994460999680 352416249452800 369748196147200 400378224230400 416393353199616 422899499343360 433743076249600 443697835376640 451092799299584 520491691499520 528624374179200 554622294220800 563865999124480 650614614374400 676639198949376 693988921999360 704832498905600 739496392294400 800756448460800 845798998686720 867486152499200 902185598599168 1040983382999040 1057248748358400 1109244588441600 1127731998248960 1301229228748800 1353278397898752 1409664997811200 1691597997373440 1734972304998400 1804371197198336 2081966765998080 2114497496716800 2218489176883200 2255463996497920 2602458457497600 2706556795797504 2819329995622400 3383195994746880 3469944609996800 4228994993433600 4510927992995840 5204916914995200 5413113591595008 5638659991244800 6766391989493760 8457989986867200 9021855985991680 10409833829990400 11277319982489600 13532783978987520 16915979973734400 22554639964979200 27065567957975040 33831959947468800 45109279929958400 67663919894937600 135327839789875200
- Sum of all divisors σ(n): 493466583382399200
- Sum of proper divisors (its aliquot sum) s(n): 358138743592524000
- 135327839789875200 is an abundant number, because the sum of its proper divisors (358138743592524000) is greater than itself. Its abundance is 222810903802648800
Bases of 135327839789875200
- Binary: 1111000001100011111110100000010101110010110000000000000002
- Hexadecimal: 0x1E0C7F40AE58000
- Base-36: 110HPRCLM0AO
Squares and roots of 135327839789875200
- 135327839789875200 squared (1353278397898752002) is 18313624222194129415288431575040000
- 135327839789875200 cubed (1353278397898752003) is 2478343204713064967487749417476362486581035008000000
-
The
square root of 135327839789875200 is 367869324.3393300387 -
The
cube root of 135327839789875200 is 513407.7062050501
Scales and comparisons
How big is 135327839789875200?- 135,327,839,789,875,200 seconds is equal to 4,303,006,708 years, 42 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 135,327,839,789,875,200 would take you about twelve billion, nine hundred nine million, twenty thousand, one hundred twenty-six 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 135327839789875200 cubic inches would be around 42784 feet tall.
Recreational maths with 135327839789875200
- 135327839789875200 backwards is 002578987938723531
- The number of decimal digits it has is: 18
- The sum of 135327839789875200's digits is 87
- More coming soon!
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"Number 135327839789875200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 135327839789875200 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/135327839789875200/
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The information we have on file for 135327839789875200 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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