135531216161625600
135,531,216,161,625,600 is an even composite number composed of five prime numbers multiplied together.
135531216161625600 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 135531216161625600:
29 × 33 × 52 × 71 × 5523409631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 71 × 5523409631)See below for interesting mathematical facts about the number 135531216161625600 from the Numbermatics database.
Names of 135531216161625600
- Cardinal: 135531216161625600 can be written as One hundred thirty-five quadrillion, five hundred thirty-one trillion, two hundred sixteen billion, one hundred sixty-one million, six hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.355312161616256 × 1017
Factors of 135531216161625600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 5523409712
Divisors of 135531216161625600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 71 72 75 80 90 96 100 108 120 128 135 142 144 150 160 180 192 200 213 216 225 240 256 270 284 288 300 320 355 360 384 400 426 432 450 480 512 540 568 576 600 639 640 675 710 720 768 800 852 864 900 960 1065 1080 1136 1152 1200 1278 1280 1350 1420 1440 1536 1600 1704 1728 1775 1800 1917 1920 2130 2160 2272 2304 2400 2556 2560 2700 2840 2880 3195 3200 3408 3456 3550 3600 3834 3840 4260 4320 4544 4608 4800 5112 5325 5400 5680 5760 6390 6400 6816 6912 7100 7200 7668 7680 8520 8640 9088 9585 9600 10224 10650 10800 11360 11520 12780 12800 13632 13824 14200 14400 15336 15975 17040 17280 18176 19170 19200 20448 21300 21600 22720 23040 25560 27264 28400 28800 30672 31950 34080 34560 36352 38340 38400 40896 42600 43200 45440 47925 51120 54528 56800 57600 61344 63900 68160 69120 76680 81792 85200 86400 90880 95850 102240 109056 113600 115200 122688 127800 136320 153360 163584 170400 172800 181760 191700 204480 227200 245376 255600 272640 306720 327168 340800 345600 383400 408960 454400 490752 511200 545280 613440 681600 766800 817920 908800 981504 1022400 1226880 1363200 1533600 1635840 2044800 2453760 2726400 3067200 4089600 4907520 6134400 8179200 12268800 24537600 5523409631 11046819262 16570228893 22093638524 27617048155 33140457786 44187277048 49710686679 55234096310 66280915572 82851144465 88374554096 99421373358 110468192620 132561831144 138085240775 149132060037 165702288930 176749108192 198842746716 220936385240 248553433395 265123662288 276170481550 298264120074 331404577860 353498216384 392162083801 397685493432 414255722325 441872770480 497106866790 530247324576 552340963100 596528240148 662809155720 706996432768 745660300185 784324167602 795370986864 828511444650 883745540960 994213733580 1060494649152 1104681926200 1176486251403 1193056480296 1242767166975 1325618311440 1413992865536 1491320600370 1568648335204 1590741973728 1657022889300 1767491081920 1960810419005 1988427467160 2120989298304 2209363852400 2352972502806 2386112960592 2485534333950 2651236622880 2827985731072 2982641200740 3137296670408 3181483947456 3314045778600 3529458754209 3534982163840 3728301500925 3921620838010 3976854934320 4241978596608 4418727704800 4705945005612 4772225921184 4971068667900 5302473245760 5882431257015 5965282401480 6274593340816 6362967894912 6628091557200 7058917508418 7069964327680 7456603001850 7843241676020 7953709868640 8483957193216 8837455409600 9411890011224 9544451842368 9804052095025 9942137335800 10588376262627 10604946491520 11764862514030 11930564802960 12549186681632 12725935789824 13256183114400 14117835016836 14139928655360 14913206003700 15686483352040 15907419737280 17647293771045 17674910819200 18823780022448 19088903684736 19608104190050 19884274671600 21176752525254 21209892983040 23529725028060 23861129605920 25098373363264 25451871579648 26512366228800 28235670033672 29412156285075 29826412007400 31372966704080 31814839474560 35294587542090 35349821638400 37647560044896 38177807369472 39216208380100 39768549343200 42353505050508 42419785966080 47059450056120 47722259211840 50196746726528 52941881313135 53024732457600 56471340067344 58824312570150 59652824014800 62745933408160 63629678949120 70589175084180 70699643276800 75295120089792 76355614738944 78432416760200 79537098686400 84707010101016 88236468855225 94118900112240 95444518423680 100393493453056 105883762626270 106049464915200 112942680134688 117648625140300 119305648029600 125491866816320 127259357898240 141178350168360 150590240179584 156864833520400 159074197372800 169414020202032 176472937710450 188237800224480 190889036847360 200786986906112 211767525252540 212098929830400 225885360269376 235297250280600 238611296059200 250983733632640 264709406565675 282356700336720 301180480359168 313729667040800 318148394745600 338828040404064 352945875420900 376475600448960 381778073694720 423535050505080 451770720538752 470594500561200 477222592118400 501967467265280 529418813131350 564713400673440 602360960718336 627459334081600 636296789491200 677656080808128 705891750841800 752951200897920 847070101010160 903541441077504 941189001122400 954445184236800 1003934934530560 1058837626262700 1129426801346880 1254918668163200 1355312161616256 1411783501683600 1505902401795840 1694140202020320 1807082882155008 1882378002244800 1908890368473600 2117675252525400 2258853602693760 2509837336326400 2710624323232512 2823567003367200 3011804803591680 3388280404040640 3764756004489600 4235350505050800 4517707205387520 5019674672652800 5421248646465024 5647134006734400 6776560808081280 7529512008979200 8470701010101600 9035414410775040 11294268013468800 13553121616162560 15059024017958400 16941402020203200 22588536026937600 27106243232325120 33882804040406400 45177072053875200 67765608080812800 135531216161625600
- Sum of all divisors σ(n): 504472002219694080
- Sum of proper divisors (its aliquot sum) s(n): 368940786058068480
- 135531216161625600 is an abundant number, because the sum of its proper divisors (368940786058068480) is greater than itself. Its abundance is 233409569896442880
Bases of 135531216161625600
- Binary: 1111000011000000011101100010010110100101001010110000000002
- Hexadecimal: 0x1E180EC4B4A5600
- Base-36: 112HT15YBUO0
Squares and roots of 135531216161625600
- 135531216161625600 squared (1355312161616256002) is 18368710554249284235582034575360000
- 135531216161625600 cubed (1355312161616256003) is 2489533680738293324134936727899072125223305216000000
-
The
square root of 135531216161625600 is 368145645.3112349393 -
The
cube root of 135531216161625600 is 513664.7677081611
Scales and comparisons
How big is 135531216161625600?- 135,531,216,161,625,600 seconds is equal to 4,309,473,448 years, 18 weeks, 6 days.
-
To count from 1 to 135,531,216,161,625,600 would take you about twelve billion, nine hundred twenty-eight million, four hundred twenty thousand, three hundred forty-five 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 135531216161625600 cubic inches would be around 42805.4 feet tall.
Recreational maths with 135531216161625600
- 135531216161625600 backwards is 006526161612135531
- 135531216161625600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135531216161625600's digits is 54
- More coming soon!
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