131971212072960000
131,971,212,072,960,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131971212072960000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5400 divisors.
131971212072960000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 131971212072960000:
214 × 3 × 54 × 13 × 172 × 41 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 41 × 167 × 167)See below for interesting mathematical facts about the number 131971212072960000 from the Numbermatics database.
Names of 131971212072960000
- Cardinal: 131971212072960000 can be written as One hundred thirty-one quadrillion, nine hundred seventy-one trillion, two hundred twelve billion, seventy-two million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3197121207296 × 1017
Factors of 131971212072960000
Divisors of 131971212072960000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 41 48 50 51 52 60 64 65 68 75 78 80 82 85 96 100 102 104 120 123 125 128 130 136 150 156 160 164 167 170 192 195 200 204 205 208 221 240 246 250 255 256 260 272 289 300 312 320 325 328 334 340 375 384 390 400 408 410 416 425 442 480 492 500 501 510 512 520 533 544 578 600 615 624 625 640 650 656 663 668 680 697 750 768 780 800 816 820 832 835 850 867 884 960 975 984 1000 1002 1020 1024 1025 1040 1066 1088 1105 1156 1200 1230 1248 1250 1275 1280 1300 1312 1326 1336 1360 1394 1445 1500 1536 1560 1599 1600 1625 1632 1640 1664 1670 1700 1734 1768 1875 1920 1950 1968 2000 2004 2040 2048 2050 2080 2091 2125 2132 2171 2176 2210 2312 2400 2460 2496 2500 2505 2550 2560 2600 2624 2652 2665 2672 2720 2788 2839 2890 3000 3072 3075 3120 3198 3200 3250 3264 3280 3315 3328 3340 3400 3468 3485 3536 3750 3757 3840 3900 3936 4000 4008 4080 4096 4100 4160 4175 4182 4250 4264 4335 4342 4352 4420 4624 4800 4875 4920 4992 5000 5010 5100 5120 5125 5200 5248 5304 5330 5344 5440 5525 5576 5678 5780 6000 6144 6150 6240 6375 6396 6400 6500 6513 6528 6560 6630 6656 6680 6800 6847 6936 6970 7072 7225 7500 7514 7680 7800 7872 7995 8000 8016 8125 8160 8192 8200 8320 8350 8364 8500 8517 8528 8670 8684 8704 8840 9061 9248 9600 9750 9840 9984 10000 10020 10200 10240 10250 10400 10455 10496 10608 10625 10660 10688 10855 10880 11050 11152 11271 11356 11560 11849 12000 12288 12300 12480 12525 12750 12792 12800 13000 13026 13056 13120 13260 13312 13325 13360 13600 13694 13872 13940 14144 14195 14450 15000 15028 15360 15375 15600 15744 15990 16000 16032 16250 16320 16384 16400 16575 16640 16700 16728 17000 17034 17056 17340 17368 17408 17425 17680 18122 18496 18785 19200 19500 19680 19968 20000 20040 20400 20480 20500 20541 20800 20875 20910 20992 21216 21250 21320 21376 21675 21710 21760 22100 22304 22542 22712 23120 23698 24000 24375 24576 24600 24960 25050 25500 25584 25600 25625 26000 26052 26112 26240 26520 26624 26650 26720 27183 27200 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2639424241459200 2749400251520000 3218810050560000 3299280301824000 3383877232640000 3881506237440000 4124100377280000 4399040402432000 5075815848960000 5278848482918400 5498800503040000 6598560603648000 7763012474880000 8248200754560000 8798080804864000 10151631697920000 10997601006080000 13197121207296000 16496401509120000 21995202012160000 26394242414592000 32992803018240000 43990404024320000 65985606036480000 131971212072960000
- Sum of all divisors σ(n): 518447327433608496
- Sum of proper divisors (its aliquot sum) s(n): 386476115360648496
- 131971212072960000 is an abundant number, because the sum of its proper divisors (386476115360648496) is greater than itself. Its abundance is 254504903287688496
Bases of 131971212072960000
- Binary: 1110101001101101100011110010000000010111111000000000000002
- Hexadecimal: 0x1D4DB1E402FC000
- Base-36: 103FW1V4IP6O
Squares and roots of 131971212072960000
- 131971212072960000 squared (1319712120729600002) is 17416400816006183260363161600000000
- 131971212072960000 cubed (1319712120729600003) is 2298463525636825607900049127179955470336000000000000
-
The
square root of 131971212072960000 is 363278422.2507029111 -
The
cube root of 131971212072960000 is 509127.3196642141
Scales and comparisons
How big is 131971212072960000?- 131,971,212,072,960,000 seconds is equal to 4,196,276,330 years, 8 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 131,971,212,072,960,000 would take you about twelve billion, five hundred eighty-eight million, eight hundred twenty-eight thousand, nine hundred ninety 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 131971212072960000 cubic inches would be around 42427.3 feet tall.
Recreational maths with 131971212072960000
- 131971212072960000 backwards is 000069270212179131
- 131971212072960000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131971212072960000's digits is 51
- More coming soon!
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"Number 131971212072960000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 131971212072960000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/131971212072960000/
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The information we have on file for 131971212072960000 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 131971212072960000, math, Factors of 131971212072960000, curriculum, school, college, exams, university, Prime factorization of 131971212072960000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, nine hundred seventy-one trillion, two hundred twelve billion, seventy-two million, nine hundred sixty thousand.