135009850440384000
135,009,850,440,384,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135009850440384000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
135009850440384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135009850440384000:
29 × 32 × 53 × 23 × 10190960933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 10190960933)See below for interesting mathematical facts about the number 135009850440384000 from the Numbermatics database.
Names of 135009850440384000
- Cardinal: 135009850440384000 can be written as One hundred thirty-five quadrillion, nine trillion, eight hundred fifty billion, four hundred forty million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.35009850440384 × 1017
Factors of 135009850440384000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 10190960966
Divisors of 135009850440384000
- Number of divisors d(n): 480
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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 96 100 115 120 125 128 138 144 150 160 180 184 192 200 207 225 230 240 250 256 276 288 300 320 345 360 368 375 384 400 414 450 460 480 500 512 552 575 576 600 640 690 720 736 750 768 800 828 900 920 960 1000 1035 1104 1125 1150 1152 1200 1280 1380 1440 1472 1500 1536 1600 1656 1725 1800 1840 1920 2000 2070 2208 2250 2300 2304 2400 2560 2760 2875 2880 2944 3000 3200 3312 3450 3600 3680 3840 4000 4140 4416 4500 4600 4608 4800 5175 5520 5750 5760 5888 6000 6400 6624 6900 7200 7360 7680 8000 8280 8625 8832 9000 9200 9600 10350 11040 11500 11520 11776 12000 12800 13248 13800 14400 14720 16000 16560 17250 17664 18000 18400 19200 20700 22080 23000 23040 24000 25875 26496 27600 28800 29440 32000 33120 34500 35328 36000 36800 38400 41400 44160 46000 48000 51750 52992 55200 57600 58880 64000 66240 69000 72000 73600 82800 88320 92000 96000 103500 105984 110400 115200 132480 138000 144000 147200 165600 176640 184000 192000 207000 220800 264960 276000 288000 294400 331200 368000 414000 441600 529920 552000 576000 662400 736000 828000 883200 1104000 1324800 1472000 1656000 2208000 2649600 3312000 4416000 6624000 13248000 10190960933 20381921866 30572882799 40763843732 50954804665 61145765598 81527687464 91718648397 101909609330 122291531196 152864413995 163055374928 183437296794 203819218660 234392101459 244583062392 254774023325 305728827990 326110749856 366874593588 407638437320 458593241985 468784202918 489166124784 509548046650 611457655980 652221499712 703176304377 733749187176 764322069975 815276874640 917186483970 937568405836 978332249568 1019096093300 1171960507295 1222915311960 1273870116625 1304442999424 1406352608754 1467498374352 1528644139950 1630553749280 1834372967940 1875136811672 1956664499136 2038192186600 2109528913131 2292966209925 2343921014590 2445830623920 2547740233250 2608885998848 2812705217508 2934996748704 3057288279900 3261107498560 3515881521885 3668745935880 3750273623344 3821610349875 3913328998272 4076384373200 4219057826262 4585932419850 4687842029180 4891661247840 5095480466500 5217771997696 5625410435016 5859802536475 5869993497408 6114576559800 6522214997120 7031763043770 7337491871760 7500547246688 7643220699750 7826657996544 8152768746400 8438115652524 9171864839700 9375684058360 9783322495680 10190960933000 10547644565655 11250820870032 11464831049625 11719605072950 11739986994816 12229153119600 13044429994240 14063526087540 14674983743520 15001094493376 15286441399500 15653315993088 16305537492800 16876231305048 17579407609425 18343729679400 18751368116720 19566644991360 20381921866000 21095289131310 22501641740064 22929662099250 23439210145900 23479973989632 24458306239200 26088859988480 28127052175080 29299012682375 29349967487040 30002188986752 30572882799000 32611074985600 33752462610096 35158815218850 36687459358800 37502736233440 39133289982720 40763843732000 42190578262620 45003283480128 45859324198500 46878420291800 46959947979264 48916612478400 52738222828275 56254104350160 58598025364750 58699934974080 60004377973504 61145765598000 65222149971200 67504925220192 70317630437700 73374918717600 75005472466880 78266579965440 81527687464000 84381156525240 87897038047125 90006566960256 91718648397000 93756840583600 97833224956800 105476445656550 112508208700320 117196050729500 117399869948160 120008755947008 122291531196000 130444299942400 135009850440384 140635260875400 146749837435200 150010944933760 163055374928000 168762313050480 175794076094250 180013133920512 183437296794000 187513681167200 195666449913600 210952891313100 225016417400640 234392101459000 234799739896320 244583062392000 263691114141375 270019700880768 281270521750800 293499674870400 300021889867520 326110749856000 337524626100960 351588152188500 360026267841024 366874593588000 375027362334400 391332899827200 421905782626200 450032834801280 468784202918000 489166124784000 527382228282750 540039401761536 562541043501600 586999349740800 600043779735040 652221499712000 675049252201920 703176304377000 733749187176000 750054724668800 843811565252400 900065669602560 937568405836000 978332249568000 1054764456565500 1080078803523072 1125082087003200 1173998699481600 1350098504403840 1406352608754000 1467498374352000 1500109449337600 1687623130504800 1800131339205120 1875136811672000 1956664499136000 2109528913131000 2250164174006400 2700197008807680 2812705217508000 2934996748704000 3000218898675200 3375246261009600 3750273623344000 4219057826262000 4500328348012800 5400394017615360 5625410435016000 5869993497408000 6750492522019200 7500547246688000 8438115652524000 9000656696025600 11250820870032000 13500985044038400 15001094493376000 16876231305048000 22501641740064000 27001970088076800 33752462610096000 45003283480128000 67504925220192000 135009850440384000
- Sum of all divisors σ(n): 507422782942979904
- Sum of proper divisors (its aliquot sum) s(n): 372412932502595904
- 135009850440384000 is an abundant number, because the sum of its proper divisors (372412932502595904) is greater than itself. Its abundance is 237403082062211904
Bases of 135009850440384000
- Binary: 1110111111010011010111110011000001010110101111110000000002
- Hexadecimal: 0x1DFA6BE60AD7E00
- Base-36: 10XCZX255Z40
Squares and roots of 135009850440384000
- 135009850440384000 squared (1350098504403840002) is 18227659715934855758738067456000000
- 135009850440384000 cubed (1350098504403840003) is 2460913612126577182101118194980546698543104000000000
-
The
square root of 135009850440384000 is 367436865.9244523875 -
The
cube root of 135009850440384000 is 513005.2607485321
Scales and comparisons
How big is 135009850440384000?- 135,009,850,440,384,000 seconds is equal to 4,292,895,631 years, 6 weeks, 16 hours.
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To count from 1 to 135,009,850,440,384,000 would take you about twelve billion, eight hundred seventy-eight million, six hundred eighty-six thousand, eight hundred ninety-three 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 135009850440384000 cubic inches would be around 42750.4 feet tall.
Recreational maths with 135009850440384000
- 135009850440384000 backwards is 000483044058900531
- The number of decimal digits it has is: 18
- The sum of 135009850440384000's digits is 54
- More coming soon!
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The information we have on file for 135009850440384000 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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