38680734597120000
38,680,734,597,120,000 is an even composite number composed of six prime numbers multiplied together.
38680734597120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, five hundred sixty divisors.
Prime factorization of 38680734597120000:
220 × 32 × 54 × 72 × 11 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 23 × 23 × 23)See below for interesting mathematical facts about the number 38680734597120000 from the Numbermatics database.
Names of 38680734597120000
- Cardinal: 38680734597120000 can be written as Thirty-eight quadrillion, six hundred eighty trillion, seven hundred thirty-four billion, five hundred ninety-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 3.868073459712 × 1016
Factors of 38680734597120000
Divisors of 38680734597120000
- Number of divisors d(n): 7560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 25 28 30 32 33 35 36 40 42 44 45 46 48 49 50 55 56 60 63 64 66 69 70 72 75 77 80 84 88 90 92 96 98 99 100 105 110 112 115 120 125 126 128 132 138 140 144 147 150 154 160 161 165 168 175 176 180 184 192 196 198 200 207 210 220 224 225 230 231 240 245 250 252 253 256 264 275 276 280 288 294 300 308 315 320 322 330 336 345 350 352 360 368 375 384 385 392 396 400 414 420 440 441 448 450 460 462 480 483 490 495 500 504 506 512 525 528 529 539 550 552 560 575 576 588 600 616 625 630 640 644 660 672 690 693 700 704 720 735 736 750 759 768 770 784 792 800 805 825 828 840 875 880 882 896 900 920 924 960 966 980 990 1000 1008 1012 1024 1035 1050 1056 1058 1078 1100 1104 1120 1125 1127 1150 1152 1155 1176 1200 1225 1232 1250 1260 1265 1280 1288 1320 1344 1375 1380 1386 1400 1408 1440 1449 1470 1472 1500 1518 1536 1540 1568 1575 1584 1587 1600 1610 1617 1650 1656 1680 1725 1750 1760 1764 1771 1792 1800 1840 1848 1875 1920 1925 1932 1960 1980 2000 2016 2024 2048 2070 2100 2112 2116 2156 2200 2205 2208 2240 2250 2254 2277 2300 2304 2310 2352 2400 2415 2450 2464 2475 2500 2520 2530 2560 2576 2625 2640 2645 2688 2695 2750 2760 2772 2800 2816 2875 2880 2898 2940 2944 3000 3036 3072 3080 3136 3150 3168 3174 3200 3220 3234 3300 3312 3360 3381 3450 3465 3500 3520 3528 3542 3584 3600 3675 3680 3696 3703 3750 3795 3840 3850 3864 3920 3960 4000 4025 4032 4048 4096 4125 4140 4200 4224 4232 4312 4375 4400 4410 4416 4480 4500 4508 4554 4600 4608 4620 4704 4761 4800 4830 4851 4900 4928 4950 5000 5040 5060 5120 5152 5175 5250 5280 5290 5313 5376 5390 5500 5520 5544 5600 5625 5632 5635 5750 5760 5775 5796 5819 5880 5888 6000 6072 6125 6144 6160 6272 6300 6325 6336 6348 6400 6440 6468 6600 6624 6720 6762 6875 6900 6930 7000 7040 7056 7084 7168 7200 7245 7350 7360 7392 7406 7500 7590 7680 7700 7728 7840 7875 7920 7935 8000 8050 8064 8085 8096 8192 8250 8280 8400 8448 8464 8624 8625 8750 8800 8820 8832 8855 8960 9000 9016 9108 9200 9216 9240 9408 9522 9600 9625 9660 9702 9800 9856 9900 10000 10080 10120 10143 10240 10304 10350 10500 10560 10580 10626 10752 10780 11000 11025 11040 11088 11109 11200 11250 11264 11270 11385 11500 11520 11550 11592 11638 11760 11776 12000 12075 12144 12167 12250 12288 12320 12375 12397 12544 12600 12650 12672 12696 12800 12880 12936 13125 13200 13225 13248 13440 13475 13524 13750 13800 13860 14000 14080 14112 14168 14336 14375 14400 14490 14700 14720 14784 14812 15000 15180 15360 15400 15456 15680 15750 15840 15870 15939 16000 16100 16128 16170 16192 16384 16500 16560 16800 16896 16905 16928 17248 17250 17325 17457 17500 17600 17640 17664 17710 17920 18000 18032 18216 18375 18400 18432 18480 18515 18816 18975 19044 19200 19250 19320 19404 19600 19712 19800 20000 20125 20160 20240 20286 20480 20608 20625 20700 21000 21120 21160 21252 21504 21560 22000 22050 22080 22176 22218 22400 22500 22528 22540 22770 23000 23040 23100 23184 23276 23520 23552 23805 24000 24150 24255 24288 24334 24500 24576 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3868073459712000 4297859399680000 4835091824640000 5525819228160000 6446789099520000 7736146919424000 9670183649280000 12893578199040000 19340367298560000 38680734597120000
- Sum of all divisors σ(n): 185253875035669440
- Sum of proper divisors (its aliquot sum) s(n): 146573140438549440
- 38680734597120000 is an abundant number, because the sum of its proper divisors (146573140438549440) is greater than itself. Its abundance is 107892405841429440
Bases of 38680734597120000
- Binary: 100010010110101111101100010101010101000000000000000000002
- Hexadecimal: 0x896BEC55500000
- Base-36: AKV6C5S5J40
Squares and roots of 38680734597120000
- 38680734597120000 squared (386807345971200002) is 1496199228972836128712294400000000
- 38680734597120000 cubed (386807345971200003) is 57874085280313851124569931392774832128000000000000
-
The
square root of 38680734597120000 is 196674183.8603124851 -
The
cube root of 38680734597120000 is 338193.2259926515
Scales and comparisons
How big is 38680734597120000?- 38,680,734,597,120,000 seconds is equal to 1,229,927,712 years, 42 weeks, 4 days, 16 hours.
-
To count from 1 to 38,680,734,597,120,000 would take you about three billion, six hundred eighty-nine million, seven hundred eighty-three thousand, one hundred thirty-eight 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 38680734597120000 cubic inches would be around 28182.8 feet tall.
Recreational maths with 38680734597120000
- 38680734597120000 backwards is 00002179543708683
- 38680734597120000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38680734597120000's digits is 63
- More coming soon!
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"Number 38680734597120000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 38680734597120000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/38680734597120000/
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Numbermatics. 2024. "Number 38680734597120000 - Facts about the integer". https://numbermatics.com/n/38680734597120000/
The information we have on file for 38680734597120000 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!
Keywords: Divisors of 38680734597120000, math, Factors of 38680734597120000, curriculum, school, college, exams, university, Prime factorization of 38680734597120000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, six hundred eighty trillion, seven hundred thirty-four billion, five hundred ninety-seven million, one hundred twenty thousand.