135402224496000
135,402,224,496,000 is an even composite number composed of seven prime numbers multiplied together.
135402224496000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 135402224496000:
27 × 3 × 53 × 74 × 11 × 292 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 29 × 29 × 127)See below for interesting mathematical facts about the number 135402224496000 from the Numbermatics database.
Names of 135402224496000
- Cardinal: 135402224496000 can be written as One hundred thirty-five trillion, four hundred two billion, two hundred twenty-four million, four hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.35402224496 × 1014
Factors of 135402224496000
Divisors of 135402224496000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 32 33 35 40 42 44 48 49 50 55 56 58 60 64 66 70 75 77 80 84 87 88 96 98 100 105 110 112 116 120 125 127 128 132 140 145 147 150 154 160 165 168 174 175 176 192 196 200 203 210 220 224 231 232 240 245 250 254 264 275 280 290 294 300 308 319 320 330 336 343 348 350 352 375 381 384 385 392 400 406 420 435 440 448 462 464 480 490 500 508 525 528 539 550 560 580 588 600 609 616 635 638 640 660 672 686 696 700 704 725 735 750 762 770 784 800 812 825 840 841 870 875 880 889 896 924 928 957 960 980 1000 1015 1016 1029 1050 1056 1078 1100 1120 1155 1160 1176 1200 1218 1225 1232 1270 1276 1320 1344 1372 1375 1392 1397 1400 1408 1421 1450 1470 1500 1524 1540 1568 1595 1600 1617 1624 1650 1680 1682 1715 1740 1750 1760 1778 1848 1856 1905 1914 1920 1925 1960 2000 2030 2032 2058 2100 2112 2156 2175 2200 2233 2240 2310 2320 2352 2400 2401 2436 2450 2464 2523 2540 2552 2625 2640 2667 2688 2695 2744 2750 2784 2794 2800 2842 2900 2940 3000 3045 3048 3080 3136 3175 3190 3200 3234 3248 3300 3360 3364 3430 3480 3500 3520 3556 3625 3675 3683 3696 3712 3773 3810 3828 3850 3920 4000 4060 4064 4116 4125 4191 4200 4205 4224 4263 4312 4350 4400 4445 4466 4480 4620 4640 4704 4785 4800 4802 4872 4900 4928 5046 5075 5080 5104 5145 5250 5280 5334 5390 5488 5500 5568 5588 5600 5684 5775 5800 5880 5887 6000 6090 6096 6125 6160 6223 6272 6350 6380 6468 6496 6600 6699 6720 6728 6860 6960 6985 7000 7040 7105 7112 7203 7250 7350 7366 7392 7546 7620 7656 7700 7840 7975 8000 8085 8120 8128 8232 8250 8382 8400 8410 8526 8575 8624 8700 8800 8890 8932 9240 9251 9280 9408 9525 9570 9600 9604 9625 9744 9779 9800 9856 9947 10092 10150 10160 10208 10290 10500 10560 10668 10780 10875 10976 11000 11049 11136 11165 11176 11200 11319 11368 11550 11600 11760 11774 12000 12005 12180 12192 12250 12320 12446 12615 12700 12760 12936 12992 13200 13335 13398 13440 13456 13475 13720 13920 13970 14000 14210 14224 14406 14500 14700 14732 14784 15092 15225 15240 15312 15400 15631 15680 15875 15950 16000 16170 16240 16256 16464 16500 16764 16800 16820 17052 17150 17248 17400 17600 17661 17780 17864 18375 18415 18480 18502 18560 18669 18816 18865 19050 19140 19208 19250 19488 19558 19600 19894 20184 20300 20320 20416 20580 20955 21000 21025 21120 21315 21336 21560 21750 21952 22000 22098 22225 22330 22352 22400 22638 22736 23100 23200 23520 23548 23925 24000 24010 24360 24384 24500 24640 24892 25230 25375 25400 25520 25725 25781 25872 25984 26400 26411 26670 26796 26912 26950 27440 27753 27840 27940 28000 28420 28448 28812 28875 29000 29337 29400 29435 29464 29568 29841 30184 30450 30480 30624 30800 31115 31262 31360 31750 31900 32340 32480 32928 33000 33495 33528 33600 33640 34104 34300 34496 34800 34925 35200 35322 35525 35560 35728 36015 36750 36830 36960 37004 37338 37730 38100 38280 38416 38500 38976 39116 39200 39788 39875 40368 40425 40513 40600 40640 40832 41160 41209 41910 42000 42050 42630 42672 42875 43120 43500 43561 43904 44000 44196 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53667152000 54952201500 55266214080 55583836000 56394096000 56417593540 57568973000 58363027800 58615681600 60447421650 60636912000 61546465680 62253896320 62802516000 64110901750 64477249760 65793112000 66634953000 66700603200 67701112248 69082767600 70338817920 70521991925 70743064000 71077283200 72953784750 73269602000 76154232000 76933082100 77372699712 77817370400 78951734400 80500728000 80596562200 82061954240 83375754000 83736688000 84626390310 84891676800 86353459500 87923522400 88846604000 90268149664 92110356800 93380844480 95286576000 96166352625 96715874640 96923568000 97271713000 98474345088 98689668000 100745702750 102577442800 106114596000 106615924800 109904403000 110532428160 111167672000 112835187080 115137946000 116726055600 117231363200 120894843300 123092931360 125605032000 128221803500 128954499520 131586224000 133269906000 133401206400 135402224496 138165535200 141043983850 141486128000 145907569500 146539204000 151118554125 152308464000 153866164200 154745399424 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773726997120 778173704000 805965622000 820619542400 846263903100 879235224000 902681496640 921103568000 933808444800 967158746400 1025774428000 1057829878875 1066159248000 1083217795968 1128351870800 1167260556000 1208948433000 1230929313600 1289544995200 1354022244960 1381655352000 1410439838500 1538661642000 1556347408000 1611931244000 1692527806200 1758470448000 1805362993280 1934317492800 2051548856000 2115659757750 2256703741600 2334521112000 2417896866000 2461858627200 2708044489920 2763310704000 2820879677000 3077323284000 3223862488000 3385055612400 3868634985600 4103097712000 4231319515500 4513407483200 4669042224000 4835793732000 5416088979840 5641759354000 6154646568000 6447724976000 6770111224800 8462639031000 9026814966400 9671587464000 11283518708000 12309293136000 13540222449600 16925278062000 19343174928000 22567037416000 27080444899200 33850556124000 45134074832000 67701112248000 135402224496000
- Sum of all divisors σ(n): 596275890462720
- Sum of proper divisors (its aliquot sum) s(n): 460873665966720
- 135402224496000 is an abundant number, because the sum of its proper divisors (460873665966720) is greater than itself. Its abundance is 325471441470720
Bases of 135402224496000
- Binary: 111101100100101110010010111111000101101100000002
- Hexadecimal: 0x7B25C97E2D80
- Base-36: 1BZUX8HE2O
Squares and roots of 135402224496000
- 135402224496000 squared (1354022244960002) is 18333762398465182454016000000
- 135402224496000 cubed (1354022244960003) is 2482432212133306040478274628775936000000000
-
The
square root of 135402224496000 is 11636246.1514012327 -
The
cube root of 135402224496000 is 51350.1756048235
Scales and comparisons
How big is 135402224496000?- 135,402,224,496,000 seconds is equal to 4,305,371 years, 47 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 135,402,224,496,000 would take you about ten million, seven hundred sixty-three thousand, four hundred twenty-nine 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 135402224496000 cubic inches would be around 4279.2 feet tall.
Recreational maths with 135402224496000
- 135402224496000 backwards is 000694422204531
- 135402224496000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135402224496000's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 135402224496000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 135402224496000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/135402224496000/
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Numbermatics. 2024. "Number 135402224496000 - Facts about the integer". https://numbermatics.com/n/135402224496000/
The information we have on file for 135402224496000 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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