97968507678720000
97,968,507,678,720,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 97968507678720000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 7040 divisors.
97968507678720000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand and forty divisors.
Prime factorization of 97968507678720000:
215 × 310 × 54 × 7 × 71 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 71 × 163)See below for interesting mathematical facts about the number 97968507678720000 from the Numbermatics database.
Names of 97968507678720000
- Cardinal: 97968507678720000 can be written as Ninety-seven quadrillion, nine hundred sixty-eight trillion, five hundred seven billion, six hundred seventy-eight million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 9.796850767872 × 1016
Factors of 97968507678720000
Divisors of 97968507678720000
- Number of divisors d(n): 7040
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 71 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 142 144 150 160 162 163 168 175 180 189 192 200 210 213 216 224 225 240 243 250 252 256 270 280 284 288 300 315 320 324 326 336 350 355 360 375 378 384 400 405 420 426 432 448 450 480 486 489 497 500 504 512 525 540 560 567 568 576 600 625 630 639 640 648 652 672 675 700 710 720 729 750 756 768 800 810 815 840 852 864 875 896 900 945 960 972 978 994 1000 1008 1024 1050 1065 1080 1120 1125 1134 1136 1141 1152 1200 1215 1250 1260 1278 1280 1296 1304 1344 1350 1400 1420 1440 1458 1467 1491 1500 1512 1536 1575 1600 1620 1630 1680 1701 1704 1728 1750 1775 1792 1800 1875 1890 1917 1920 1944 1956 1988 2000 2016 2025 2048 2100 2130 2160 2187 2240 2250 2268 2272 2282 2304 2400 2430 2445 2485 2500 2520 2556 2560 2592 2608 2625 2688 2700 2800 2835 2840 2880 2916 2934 2982 3000 3024 3072 3150 3195 3200 3240 3260 3360 3375 3402 3408 3423 3456 3500 3550 3584 3600 3645 3750 3780 3834 3840 3888 3912 3976 4000 4032 4050 4075 4096 4200 4260 4320 4374 4375 4401 4473 4480 4500 4536 4544 4564 4608 4725 4800 4860 4890 4970 5000 5040 5103 5112 5120 5184 5216 5250 5325 5376 5400 5600 5625 5670 5680 5705 5751 5760 5832 5868 5964 6000 6048 6075 6144 6300 6390 6400 6480 6520 6561 6720 6750 6804 6816 6846 6912 7000 7100 7168 7200 7290 7335 7455 7500 7560 7668 7680 7776 7824 7875 7952 8000 8064 8100 8150 8192 8400 8505 8520 8640 8748 8750 8802 8875 8946 8960 9000 9072 9088 9128 9216 9450 9585 9600 9720 9780 9940 10000 10080 10125 10206 10224 10240 10269 10368 10432 10500 10650 10752 10800 10935 11200 11250 11340 11360 11410 11502 11520 11573 11664 11736 11928 12000 12096 12150 12225 12288 12425 12600 12780 12800 12960 13040 13122 13125 13203 13419 13440 13500 13608 13632 13692 13824 14000 14175 14200 14336 14400 14580 14670 14910 15000 15120 15309 15336 15360 15552 15648 15750 15904 15975 16000 16128 16200 16300 16384 16800 16875 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- Sum of all divisors σ(n): 428244726580197120
- Sum of proper divisors (its aliquot sum) s(n): 330276218901477120
- 97968507678720000 is an abundant number, because the sum of its proper divisors (330276218901477120) is greater than itself. Its abundance is 232307711222757120
Bases of 97968507678720000
- Binary: 1010111000000110111010110101100110101110110000000000000002
- Hexadecimal: 0x15C0DD6B35D8000
- Base-36: QSMXR400000
Squares and roots of 97968507678720000
- 97968507678720000 squared (979685076787200002) is 9597828496795419602740838400000000
- 97968507678720000 cubed (979685076787200003) is 940284934787339700264040238748530638848000000000000
-
The
square root of 97968507678720000 is 312999213.5432931083 -
The
cube root of 97968507678720000 is 460994.2384247681
Scales and comparisons
How big is 97968507678720000?- 97,968,507,678,720,000 seconds is equal to 3,115,095,507 years, 36 weeks.
-
To count from 1 to 97,968,507,678,720,000 would take you about nine billion, three hundred forty-five million, two hundred eighty-six thousand, five hundred twenty-three 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 97968507678720000 cubic inches would be around 38416.2 feet tall.
Recreational maths with 97968507678720000
- 97968507678720000 backwards is 00002787670586979
- 97968507678720000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 97968507678720000's digits is 81
- More coming soon!
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Cite this page
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"Number 97968507678720000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 97968507678720000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/97968507678720000/
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The information we have on file for 97968507678720000 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 97968507678720000, math, Factors of 97968507678720000, curriculum, school, college, exams, university, Prime factorization of 97968507678720000, STEM, science, technology, engineering, physics, economics, calculator, ninety-seven quadrillion, nine hundred sixty-eight trillion, five hundred seven billion, six hundred seventy-eight million, seven hundred twenty thousand.