135682720128000
135,682,720,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135682720128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
135682720128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 135682720128000:
210 × 32 × 53 × 37 × 43 × 181 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 43 × 181 × 409)See below for interesting mathematical facts about the number 135682720128000 from the Numbermatics database.
Names of 135682720128000
- Cardinal: 135682720128000 can be written as One hundred thirty-five trillion, six hundred eighty-two billion, seven hundred twenty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35682720128 × 1014
Factors of 135682720128000
Divisors of 135682720128000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 43 45 48 50 60 64 72 74 75 80 86 90 96 100 111 120 125 128 129 144 148 150 160 172 180 181 185 192 200 215 222 225 240 250 256 258 288 296 300 320 333 344 360 362 370 375 384 387 400 409 430 444 450 480 500 512 516 543 555 576 592 600 640 645 666 688 720 724 740 750 768 774 800 818 860 888 900 905 925 960 1000 1024 1032 1075 1086 1110 1125 1152 1184 1200 1227 1280 1290 1332 1376 1440 1448 1480 1500 1536 1548 1591 1600 1629 1636 1665 1720 1776 1800 1810 1850 1920 1935 2000 2045 2064 2150 2172 2220 2250 2304 2368 2400 2454 2560 2580 2664 2715 2752 2775 2880 2896 2960 3000 3072 3096 3182 3200 3225 3258 3272 3330 3440 3552 3600 3620 3681 3700 3840 3870 4000 4090 4128 4300 4344 4440 4500 4525 4608 4625 4736 4773 4800 4908 5120 5160 5328 5375 5430 5504 5550 5760 5792 5920 6000 6135 6192 6364 6400 6450 6516 6544 6660 6697 6880 7104 7200 7240 7362 7400 7680 7740 7783 7955 8000 8145 8180 8256 8325 8600 8688 8880 9000 9050 9216 9250 9472 9546 9600 9675 9816 10225 10320 10656 10750 10860 11008 11100 11520 11584 11840 12000 12270 12384 12728 12800 12900 13032 13088 13320 13394 13575 13760 13875 14208 14319 14400 14480 14724 14800 15133 15360 15480 15566 15910 16000 16125 16290 16360 16512 16650 17200 17376 17587 17760 18000 18100 18405 18500 18944 19092 19200 19350 19632 20091 20450 20640 21312 21500 21720 22016 22200 22625 23040 23168 23349 23680 23865 24000 24540 24768 25456 25600 25800 26064 26176 26640 26788 27150 27520 27750 28416 28638 28800 28960 29448 29600 30266 30675 30960 31132 31820 32000 32250 32580 32720 33024 33300 33485 34400 34752 35174 35520 36000 36200 36810 37000 37888 38184 38400 38700 38915 39264 39775 40182 40725 40900 41280 41625 42624 43000 43440 44032 44400 45250 45399 46080 46336 46698 47360 47730 48000 48375 49080 49536 50912 51125 51600 52128 52352 52761 53280 53576 54300 55040 55500 56832 57276 57600 57920 58896 59200 60273 60532 61350 61920 62264 63640 64000 64500 65160 65440 66048 66600 66970 67875 68800 69504 70047 70348 71040 71595 72000 72400 73620 74000 74029 75665 76368 76800 77400 77830 78528 79550 80364 81450 81800 82560 83250 85248 86000 86880 87935 88800 90500 90798 92025 92672 93396 94720 95460 96000 96750 98160 99072 100455 101824 102250 103200 104256 104704 105522 106560 107152 108600 110080 111000 113664 114552 115200 115840 116745 117792 118400 119325 120546 121064 122700 123840 124528 127280 128000 129000 130320 130880 132096 133200 133940 135750 136197 137600 139008 140094 140696 142080 143190 144000 144800 147240 148000 148058 151330 152736 153375 154800 155660 157056 158283 159100 160728 162900 163600 165120 166500 167425 170496 172000 173760 175870 177600 181000 181596 184050 185344 186792 189440 190920 192000 193500 194575 196320 198144 198875 200910 203625 203648 204500 206400 208512 209408 211044 213120 214304 217200 220160 222000 222087 226995 229104 230400 231680 233490 235584 236800 238650 241092 242128 245400 247680 249056 254560 258000 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212004250200 226137866880 229193784000 235560278000 244473369600 249876096000 262951008000 265005312750 271365440256 282672333600 301517155840 305591712000 315541209600 331742592000 339206800320 350601344000 353340417000 361820587008 366710054400 374814144000 376896444800 394426512000 407455616000 424008500400 452275733760 458387568000 471120556000 525902016000 530010625500 542730880512 565344667200 603034311680 611183424000 631082419200 678413600640 706680834000 733420108800 749628288000 753792889600 788853024000 848017000800 904551467520 916775136000 942241112000 1051804032000 1060021251000 1085461761024 1130689334400 1222366848000 1356827201280 1413361668000 1507585779200 1577706048000 1696034001600 1809102935040 1833550272000 1884482224000 2120042502000 2261378668800 2713654402560 2826723336000 3015171558400 3155412096000 3392068003200 3667100544000 3768964448000 4240085004000 4522757337600 5427308805120 5653446672000 6784136006400 7537928896000 8480170008000 9045514675200 11306893344000 13568272012800 15075857792000 16960340016000 22613786688000 27136544025600 33920680032000 45227573376000 67841360064000 135682720128000
- Sum of all divisors σ(n): 517937446266240
- Sum of proper divisors (its aliquot sum) s(n): 382254726138240
- 135682720128000 is an abundant number, because the sum of its proper divisors (382254726138240) is greater than itself. Its abundance is 246572006010240
Bases of 135682720128000
- Binary: 111101101100111000110000101010111011100000000002
- Hexadecimal: 0x7B671855DC00
- Base-36: 1C3FS4C8W0
Squares and roots of 135682720128000
- 135682720128000 squared (1356827201280002) is 18409800541333176336384000000
- 135682720128000 cubed (1356827201280003) is 2497891814462012260850862655537152000000000
-
The
square root of 135682720128000 is 11648292.5842373997 -
The
cube root of 135682720128000 is 51385.6096987495
Scales and comparisons
How big is 135682720128000?- 135,682,720,128,000 seconds is equal to 4,314,290 years, 41 weeks, 6 days, 8 hours.
-
To count from 1 to 135,682,720,128,000 would take you about ten million, seven hundred eighty-five thousand, seven hundred twenty-seven 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 135682720128000 cubic inches would be around 4282.1 feet tall.
Recreational maths with 135682720128000
- 135682720128000 backwards is 000821027286531
- 135682720128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135682720128000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 135682720128000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 135682720128000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/135682720128000/
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The information we have on file for 135682720128000 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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