480132414308352000
480,132,414,308,352,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 480132414308352000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2320 divisors.
480132414308352000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred twenty divisors.
Prime factorization of 480132414308352000:
228 × 3 × 53 × 134 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 167)See below for interesting mathematical facts about the number 480132414308352000 from the Numbermatics database.
Names of 480132414308352000
- Cardinal: 480132414308352000 can be written as Four hundred eighty quadrillion, one hundred thirty-two trillion, four hundred fourteen billion, three hundred eight million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.80132414308352 × 1017
Factors of 480132414308352000
Divisors of 480132414308352000
- Number of divisors d(n): 2320
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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 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 167 169 192 195 200 208 240 250 256 260 300 312 320 325 334 338 375 384 390 400 416 480 500 501 507 512 520 600 624 640 650 668 676 750 768 780 800 832 835 845 960 975 1000 1002 1014 1024 1040 1200 1248 1280 1300 1336 1352 1500 1536 1560 1600 1625 1664 1670 1690 1920 1950 2000 2004 2028 2048 2080 2171 2197 2400 2496 2505 2535 2560 2600 2672 2704 3000 3072 3120 3200 3250 3328 3340 3380 3840 3900 4000 4008 4056 4096 4160 4175 4225 4342 4394 4800 4875 4992 5010 5070 5120 5200 5344 5408 6000 6144 6240 6400 6500 6513 6591 6656 6680 6760 7680 7800 8000 8016 8112 8192 8320 8350 8450 8684 8788 9600 9750 9984 10020 10140 10240 10400 10688 10816 10855 10985 12000 12288 12480 12525 12675 12800 13000 13026 13182 13312 13360 13520 15360 15600 16000 16032 16224 16384 16640 16700 16900 17368 17576 19200 19500 19968 20040 20280 20480 20800 20875 21125 21376 21632 21710 21970 24000 24576 24960 25050 25350 25600 26000 26052 26364 26624 26720 27040 28223 28561 30720 31200 32000 32064 32448 32565 32768 32955 33280 33400 33800 34736 35152 38400 39000 39936 40080 40560 40960 41600 41750 42250 42752 43264 43420 43940 48000 49152 49920 50100 50700 51200 52000 52104 52728 53248 53440 54080 54275 54925 56446 57122 61440 62400 62625 63375 64000 64128 64896 65130 65536 65910 66560 66800 67600 69472 70304 76800 78000 79872 80160 81120 81920 83200 83500 84500 84669 85504 85683 86528 86840 87880 96000 98304 99840 100200 101400 102400 104000 104208 105456 106496 106880 108160 108550 109850 112892 114244 122880 124800 125250 126750 128000 128256 129792 130260 131072 131820 133120 133600 135200 138944 140608 141115 142805 153600 156000 159744 160320 162240 162825 163840 164775 166400 167000 169000 169338 171008 171366 173056 173680 175760 192000 196608 199680 200400 202800 204800 208000 208416 210912 212992 213760 216320 217100 219700 225784 228488 245760 249600 250500 253500 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10002758631424 10927000780800 11057863065600 11097735168000 11230642176000 11364080812032 11500177588224 11541644574720 11721982771200 11837584179200 11979351654400 12022546432000 12311087546368 12503448289280 13658750976000 13822328832000 14205101015040 14375221985280 14427055718400 14569334374400 14652478464000 14743817420800 14796980224000 14974189568000 15004137947136 15388859432960 15629310361600 16810770432000 17012097024000 17756376268800 17969027481600 18033819648000 18211667968000 18429771776000 18466631319552 18755172433920 18940134686720 19166962647040 19236074291200 19536637952000 20005517262848 21854001561600 22115726131200 22195470336000 22461284352000 22728161624064 23000355176448 23083289149440 23443965542400 23675168358400 23958703308800 24045092864000 24622175092736 25006896578560 27317501952000 27644657664000 28410202030080 28750443970560 28854111436800 29304956928000 29593960448000 29948379136000 30008275894272 30777718865920 31258620723200 35512752537600 35938054963200 36067639296000 36423335936000 36859543552000 36933262639104 37510344867840 37880269373440 38333925294080 38472148582400 39073275904000 40011034525696 43708003123200 44231452262400 44390940672000 44922568704000 46166578298880 46887931084800 47350336716800 47917406617600 48090185728000 49244350185472 50013793157120 54635003904000 55289315328000 56820404060160 57500887941120 57708222873600 58609913856000 59187920896000 59896758272000 60016551788544 61555437731840 62517241446400 71025505075200 71876109926400 72135278592000 72846671872000 73719087104000 73866525278208 75020689735680 76944297164800 78146551808000 80022069051392 88781881344000 89845137408000 92333156597760 93775862169600 94700673433600 95834813235200 96180371456000 98488700370944 100027586314240 109270007808000 110578630656000 113640808120320 115001775882240 115416445747200 117219827712000 118375841792000 119793516544000 120033103577088 123110875463680 125034482892800 142051010150400 143752219852800 144270557184000 147733050556416 150041379471360 153888594329600 156293103616000 160044138102784 177563762688000 179690274816000 184666313195520 187551724339200 189401346867200 191669626470400 192360742912000 200055172628480 218540015616000 221157261312000 230832891494400 234439655424000 236751683584000 239587033088000 240066207154176 246221750927360 250068965785600 284102020300800 287504439705600 288541114368000 295466101112832 300082758942720 307777188659200 312586207232000 320088276205568 355127525376000 359380549632000 369332626391040 375103448678400 384721485824000 400110345256960 461665782988800 468879310848000 473503367168000 479174066176000 480132414308352 492443501854720 500137931571200 568204040601600 575008879411200 577082228736000 600165517885440 615554377318400 625172414464000 640176552411136 710255050752000 718761099264000 738665252782080 750206897356800 769442971648000 800220690513920 923331565977600 937758621696000 947006734336000 958348132352000 960264828616704 1000275863142400 1154164457472000 1200331035770880 1231108754636800 1250344828928000 1280353104822272 1420510101504000 1437522198528000 1477330505564160 1500413794713600 1538885943296000 1600441381027840 1846663131955200 1875517243392000 1920529657233408 2000551726284800 2308328914944000 2400662071541760 2462217509273600 2500689657856000 2841020203008000 2875044397056000 3000827589427200 3077771886592000 3200882762055680 3693326263910400 3751034486784000 3841059314466816 4001103452569600 4616657829888000 4801324143083520 5001379315712000 6001655178854400 6155543773184000 6401765524111360 7386652527820800 7502068973568000 8002206905139200 9233315659776000 9602648286167040 10002758631424000 12003310357708800 12311087546368000 15004137947136000 16004413810278400 18466631319552000 19205296572334080 20005517262848000 24006620715417600 30008275894272000 32008827620556800 36933262639104000 40011034525696000 48013241430835200 60016551788544000 80022069051392000 96026482861670400 120033103577088000 160044138102784000 240066207154176000 480132414308352000
- Sum of all divisors σ(n): 1741398197771336832
- Sum of proper divisors (its aliquot sum) s(n): 1261265783462984832
- 480132414308352000 is an abundant number, because the sum of its proper divisors (1261265783462984832) is greater than itself. Its abundance is 781133369154632832
Bases of 480132414308352000
- Binary: 110101010011100010111100011000100000000000000000000000000002
- Hexadecimal: 0x6A9C5E310000000
- Base-36: 3NBKQI4RM8LC
Squares and roots of 480132414308352000
- 480132414308352000 squared (4801324143083520002) is 230527135269566976338536955904000000
- 480132414308352000 cubed (4801324143083520003) is 110683550020565236298744146154339619682910208000000000
-
The
square root of 480132414308352000 is 692915878.2336799647 -
The
cube root of 480132414308352000 is 783045.5194602413
Scales and comparisons
How big is 480132414308352000?- 480,132,414,308,352,000 seconds is equal to 15,266,725,627 years, 48 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 480,132,414,308,352,000 would take you about forty-five billion, eight hundred million, one hundred seventy-six thousand, eight hundred eighty-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 480132414308352000 cubic inches would be around 65253.8 feet tall.
Recreational maths with 480132414308352000
- 480132414308352000 backwards is 000253803414231084
- 480132414308352000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 480132414308352000's digits is 48
- More coming soon!
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"Number 480132414308352000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 480132414308352000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/480132414308352000/
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The information we have on file for 480132414308352000 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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