27680142336000
27,680,142,336,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 27680142336000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
27680142336000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 27680142336000:
213 × 3 × 53 × 72 × 11 × 73 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 73 × 229)See below for interesting mathematical facts about the number 27680142336000 from the Numbermatics database.
Names of 27680142336000
- Cardinal: 27680142336000 can be written as Twenty-seven trillion, six hundred eighty billion, one hundred forty-two million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 2.7680142336 × 1013
Factors of 27680142336000
Divisors of 27680142336000
- Number of divisors d(n): 2688
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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 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 73 75 77 80 84 88 96 98 100 105 110 112 120 125 128 132 140 146 147 150 154 160 165 168 175 176 192 196 200 210 219 220 224 229 231 240 245 250 256 264 275 280 292 294 300 308 320 330 336 350 352 365 375 384 385 392 400 420 438 440 448 458 462 480 490 500 511 512 525 528 539 550 560 584 588 600 616 640 660 672 687 700 704 730 735 750 768 770 784 800 803 825 840 875 876 880 896 916 924 960 980 1000 1022 1024 1050 1056 1078 1095 1100 1120 1145 1155 1168 1176 1200 1225 1232 1280 1320 1344 1374 1375 1400 1408 1460 1470 1500 1533 1536 1540 1568 1600 1603 1606 1617 1650 1680 1750 1752 1760 1792 1825 1832 1848 1920 1925 1960 2000 2044 2048 2100 2112 2156 2190 2200 2240 2290 2310 2336 2352 2400 2409 2450 2464 2519 2555 2560 2625 2640 2688 2695 2748 2750 2800 2816 2920 2940 3000 3066 3072 3080 3136 3200 3206 3212 3234 3300 3360 3435 3500 3504 3520 3577 3584 3650 3664 3675 3696 3840 3850 3920 4000 4015 4088 4096 4125 4200 4224 4312 4380 4400 4480 4580 4620 4672 4704 4800 4809 4818 4900 4928 5038 5110 5120 5250 5280 5376 5390 5475 5496 5500 5600 5621 5632 5725 5775 5840 5880 6000 6125 6132 6144 6160 6272 6400 6412 6424 6468 6600 6720 6870 7000 7008 7040 7154 7168 7300 7328 7350 7392 7557 7665 7680 7700 7840 8000 8015 8030 8085 8176 8192 8250 8400 8448 8624 8760 8800 8960 9125 9160 9240 9344 9408 9600 9618 9625 9636 9800 9856 10076 10220 10240 10500 10560 10731 10752 10780 10950 10992 11000 11200 11221 11242 11264 11450 11550 11680 11760 12000 12045 12250 12264 12288 12320 12544 12595 12775 12800 12824 12848 12936 13200 13440 13475 13740 14000 14016 14080 14308 14336 14600 14656 14700 14784 15114 15330 15360 15400 15680 16000 16030 16060 16170 16352 16500 16717 16800 16863 16896 17175 17248 17520 17600 17633 17885 17920 18250 18320 18375 18480 18688 18816 19200 19236 19250 19272 19600 19712 20075 20152 20440 20480 21000 21120 21462 21504 21560 21900 21984 22000 22400 22442 22484 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79086120960 82381376000 83879219200 86500444800 89870592000 92267141120 94150144000 94795008000 98857651200 100655063040 104849024000 108125556000 110720569344 112980172800 115333926400 119827456000 120873984000 123572064000 125818828800 126393344000 131810201600 138400711680 141225216000 144167408000 157273536000 158172241920 164762752000 167758438400 173000889600 179741184000 184534282240 188300288000 189590016000 197715302400 209698048000 216251112000 221441138688 230667852800 247144128000 251637657600 263620403200 276801423360 282450432000 288334816000 314547072000 329525504000 346001779200 359482368000 369068564480 379180032000 395430604800 419396096000 432502224000 461335705600 494288256000 503275315200 553602846720 564900864000 576669632000 629094144000 659051008000 692003558400 790861209600 838792192000 865004448000 922671411200 988576512000 1107205693440 1153339264000 1258188288000 1318102016000 1384007116800 1730008896000 1845342822400 1977153024000 2306678528000 2516376576000 2768014233600 3460017792000 3954306048000 4613357056000 5536028467200 6920035584000 9226714112000 13840071168000 27680142336000
- Sum of all divisors σ(n): 119012801506560
- Sum of proper divisors (its aliquot sum) s(n): 91332659170560
- 27680142336000 is an abundant number, because the sum of its proper divisors (91332659170560) is greater than itself. Its abundance is 63652516834560
Bases of 27680142336000
- Binary: 1100100101100110010010000110100100000000000002
- Hexadecimal: 0x192CC90D2000
- Base-36: 9T82Y2EIO
Squares and roots of 27680142336000
- 27680142336000 squared (276801423360002) is 766190279741219536896000000
- 27680142336000 cubed (276801423360003) is 21208255999696614027505283629056000000000
-
The
square root of 27680142336000 is 5261192.1021760839 -
The
cube root of 27680142336000 is 30249.8184852619
Scales and comparisons
How big is 27680142336000?- 27,680,142,336,000 seconds is equal to 880,142 years, 47 weeks, 18 hours, 40 minutes.
-
To count from 1 to 27,680,142,336,000 would take you about two million, two hundred thousand, three hundred fifty-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 27680142336000 cubic inches would be around 2520.8 feet tall.
Recreational maths with 27680142336000
- 27680142336000 backwards is 00063324108672
- 27680142336000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 27680142336000's digits is 42
- More coming soon!
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The information we have on file for 27680142336000 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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