131161063968000
131,161,063,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 131161063968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
131161063968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 131161063968000:
28 × 33 × 53 × 11 × 173 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 17 × 17 × 53 × 53)See below for interesting mathematical facts about the number 131161063968000 from the Numbermatics database.
Names of 131161063968000
- Cardinal: 131161063968000 can be written as One hundred thirty-one trillion, one hundred sixty-one billion, sixty-three million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31161063968 × 1014
Factors of 131161063968000
Divisors of 131161063968000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 53 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 106 108 110 120 125 128 132 135 136 144 150 153 159 160 165 170 176 180 187 192 198 200 204 212 216 220 225 240 250 255 256 264 265 270 272 275 288 289 297 300 306 318 320 330 340 352 360 374 375 384 396 400 408 424 425 432 440 450 459 477 480 495 500 510 528 530 540 544 550 561 576 578 583 594 600 612 636 640 660 675 680 704 720 748 750 765 768 792 795 800 816 825 848 850 864 867 880 900 901 918 935 954 960 990 1000 1020 1056 1060 1080 1088 1100 1122 1125 1152 1156 1166 1188 1200 1224 1272 1275 1280 1320 1325 1350 1360 1375 1408 1431 1440 1445 1485 1496 1500 1530 1584 1590 1600 1632 1650 1683 1696 1700 1728 1734 1749 1760 1800 1802 1836 1870 1908 1920 1980 2000 2040 2112 2120 2125 2160 2176 2200 2244 2250 2295 2304 2312 2332 2376 2385 2400 2448 2475 2544 2550 2601 2640 2650 2700 2703 2720 2750 2805 2809 2816 2862 2880 2890 2915 2970 2992 3000 3060 3168 3179 3180 3200 3264 3300 3366 3375 3392 3400 3456 3468 3498 3520 3600 3604 3672 3740 3816 3825 3840 3960 3975 4000 4080 4125 4224 4240 4250 4320 4335 4352 4400 4488 4500 4505 4590 4624 4664 4675 4752 4770 4800 4896 4913 4950 5049 5088 5100 5202 5247 5280 5300 5400 5406 5440 5500 5610 5618 5724 5760 5780 5830 5940 5984 6000 6120 6336 6358 6360 6375 6400 6528 6600 6625 6732 6750 6784 6800 6912 6936 6996 7040 7155 7200 7208 7225 7344 7425 7480 7632 7650 7803 7920 7950 8000 8109 8160 8250 8415 8427 8448 8480 8500 8640 8670 8745 8800 8976 9000 9010 9180 9248 9328 9350 9504 9537 9540 9600 9792 9826 9900 9911 10098 10176 10200 10404 10494 10560 10600 10800 10812 10880 11000 11220 11236 11448 11475 11520 11560 11660 11880 11925 11968 12000 12240 12375 12672 12716 12720 12750 13005 13056 13200 13250 13464 13500 13515 13568 13600 13872 13992 14025 14045 14080 14310 14400 14416 14450 14575 14688 14739 14850 14960 15264 15300 15317 15606 15741 15840 15895 15900 16000 16218 16320 16500 16830 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1543071340800 1639513299600 1748814186240 1821681444000 1928839176000 1987288848000 2049391624500 2186017732800 2384746617600 2428908592000 2474737056000 2571785568000 2623221279360 2732522166000 2914690310400 2980933272000 3279026599200 3643362888000 3857678352000 3974577696000 4098783249000 4372035465600 4857817184000 5246442558720 5465044332000 5961866544000 6558053198400 7286725776000 7715356704000 8197566498000 8744070931200 10930088664000 11923733088000 13116106396800 14573451552000 16395132996000 21860177328000 26232212793600 32790265992000 43720354656000 65580531984000 131161063968000
- Sum of all divisors σ(n): 571845340684800
- Sum of proper divisors (its aliquot sum) s(n): 440684276716800
- 131161063968000 is an abundant number, because the sum of its proper divisors (440684276716800) is greater than itself. Its abundance is 309523212748800
Bases of 131161063968000
- Binary: 111011101001010010100001010000001001101000000002
- Hexadecimal: 0x774A50A04D00
- Base-36: 1AHQK70AO0
Squares and roots of 131161063968000
- 131161063968000 squared (1311610639680002) is 17203224701217787905024000000
- 131161063968000 cubed (1311610639680003) is 2256393255492303966910309572575232000000000
-
The
square root of 131161063968000 is 11452557.0929814621 -
The
cube root of 131161063968000 is 50808.3366110423
Scales and comparisons
How big is 131161063968000?- 131,161,063,968,000 seconds is equal to 4,170,516 years, 6 weeks, 4 days.
-
To count from 1 to 131,161,063,968,000 would take you about ten million, four hundred twenty-six thousand, two 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 131161063968000 cubic inches would be around 4234 feet tall.
Recreational maths with 131161063968000
- 131161063968000 backwards is 000869360161131
- 131161063968000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131161063968000's digits is 45
- More coming soon!
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MLA style:
"Number 131161063968000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 131161063968000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/131161063968000/
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The information we have on file for 131161063968000 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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