96972894144000
96,972,894,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 96972894144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3360 divisors.
96972894144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 96972894144000:
29 × 35 × 53 × 76 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 53)See below for interesting mathematical facts about the number 96972894144000 from the Numbermatics database.
Names of 96972894144000
- Cardinal: 96972894144000 can be written as Ninety-six trillion, nine hundred seventy-two billion, eight hundred ninety-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.6972894144 × 1013
Factors of 96972894144000
Divisors of 96972894144000
- Number of divisors d(n): 3360
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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 49 50 53 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 106 108 112 120 125 126 128 135 140 144 147 150 159 160 162 168 175 180 189 192 196 200 210 212 216 224 225 240 243 245 250 252 256 265 270 280 288 294 300 315 318 320 324 336 343 350 360 371 375 378 384 392 400 405 420 424 432 441 448 450 477 480 486 490 500 504 512 525 530 540 560 567 576 588 600 630 636 640 648 672 675 686 700 720 735 742 750 756 768 784 795 800 810 840 848 864 875 882 896 900 945 954 960 972 980 1000 1008 1029 1050 1060 1080 1113 1120 1125 1134 1152 1176 1200 1215 1225 1260 1272 1280 1296 1323 1325 1344 1350 1372 1400 1431 1440 1470 1484 1500 1512 1536 1568 1575 1590 1600 1620 1680 1696 1701 1715 1728 1750 1764 1792 1800 1855 1890 1908 1920 1944 1960 2000 2016 2025 2058 2100 2120 2160 2205 2226 2240 2250 2268 2304 2352 2385 2400 2401 2430 2450 2520 2544 2560 2592 2597 2625 2646 2650 2688 2700 2744 2800 2835 2862 2880 2940 2968 3000 3024 3087 3136 3150 3180 3200 3240 3339 3360 3375 3392 3402 3430 3456 3500 3528 3584 3600 3675 3710 3780 3816 3840 3888 3920 3969 3975 4000 4032 4050 4116 4200 4240 4293 4320 4410 4452 4480 4500 4536 4608 4704 4725 4770 4800 4802 4860 4900 5040 5088 5145 5184 5194 5250 5292 5300 5376 5400 5488 5565 5600 5670 5724 5760 5880 5936 6000 6048 6075 6125 6174 6272 6300 6360 6400 6480 6615 6625 6678 6720 6750 6784 6804 6860 6912 7000 7056 7155 7200 7203 7350 7420 7560 7632 7680 7776 7791 7840 7875 7938 7950 8000 8064 8100 8232 8400 8480 8505 8575 8586 8640 8820 8904 8960 9000 9072 9261 9275 9408 9450 9540 9600 9604 9720 9800 10017 10080 10125 10176 10290 10368 10388 10500 10584 10600 10752 10800 10976 11025 11130 11200 11340 11448 11520 11760 11872 11907 11925 12000 12005 12096 12150 12250 12348 12544 12600 12720 12800 12879 12960 12985 13230 13250 13356 13440 13500 13568 13608 13720 13824 14000 14112 14175 14310 14400 14406 14700 14840 15120 15264 15435 15552 15582 15680 15750 15876 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1197196224000 1212161176800 1292971921920 1346845752000 1385327059200 1515201471000 1539252288000 1616214902400 1731658824000 1795794336000 1829677248000 1939457882880 1979038656000 2020268628000 2154953203200 2308878432000 2424322353600 2693691504000 2770654118400 3030402942000 3232429804800 3463317648000 3591588672000 3878915765760 4040537256000 4617756864000 4848644707200 5387383008000 6060805884000 6464859609600 6926635296000 8081074512000 9697289414400 10774766016000 12121611768000 13853270592000 16162149024000 19394578828800 24243223536000 32324298048000 48486447072000 96972894144000
- Sum of all divisors σ(n): 430556230200096
- Sum of proper divisors (its aliquot sum) s(n): 333583336056096
- 96972894144000 is an abundant number, because the sum of its proper divisors (333583336056096) is greater than itself. Its abundance is 236610441912096
Bases of 96972894144000
- Binary: 101100000110010010000101110100010000110000000002
- Hexadecimal: 0x583242E88600
- Base-36: YDGQDEO00
Squares and roots of 96972894144000
- 96972894144000 squared (969728941440002) is 9403742198663429492736000000
- 96972894144000 cubed (969728941440003) is 911908096788454566483095744937984000000000
-
The
square root of 96972894144000 is 9847481.6143011915 -
The
cube root of 96972894144000 is 45942.7286848395
Scales and comparisons
How big is 96972894144000?- 96,972,894,144,000 seconds is equal to 3,083,438 years, 4 weeks.
-
To count from 1 to 96,972,894,144,000 would take you about seven million, seven hundred eight thousand, five hundred ninety-five 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 96972894144000 cubic inches would be around 3828.6 feet tall.
Recreational maths with 96972894144000
- 96972894144000 backwards is 00044149827969
- 96972894144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 96972894144000's digits is 63
- More coming soon!
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Cite this page
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"Number 96972894144000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 96972894144000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/96972894144000/
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The information we have on file for 96972894144000 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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