106537013856000
106,537,013,856,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106537013856000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
106537013856000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 106537013856000:
28 × 34 × 53 × 7 × 13 × 17 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 163 × 163)See below for interesting mathematical facts about the number 106537013856000 from the Numbermatics database.
Names of 106537013856000
- Cardinal: 106537013856000 can be written as One hundred six trillion, five hundred thirty-seven billion, thirteen million, eight hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.06537013856 × 1014
Factors of 106537013856000
Divisors of 106537013856000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 50 51 52 54 56 60 63 64 65 68 70 72 75 78 80 81 84 85 90 91 96 100 102 104 105 108 112 117 119 120 125 126 128 130 135 136 140 144 150 153 156 160 162 163 168 170 175 180 182 189 192 195 200 204 208 210 216 221 224 225 234 238 240 250 252 255 256 260 270 272 273 280 288 300 306 312 315 320 324 325 326 336 340 350 351 357 360 364 375 378 384 390 400 405 408 416 420 425 432 442 448 450 455 459 468 476 480 489 500 504 510 520 525 540 544 546 560 567 576 585 595 600 612 624 630 640 648 650 652 663 672 675 680 700 702 714 720 728 750 756 765 768 780 800 810 815 816 819 832 840 850 864 875 884 896 900 910 918 936 945 952 960 975 978 1000 1008 1020 1040 1050 1053 1071 1080 1088 1092 1105 1120 1125 1134 1141 1152 1170 1190 1200 1224 1248 1260 1275 1280 1296 1300 1304 1326 1344 1350 1360 1365 1377 1400 1404 1428 1440 1456 1467 1500 1512 1530 1547 1560 1575 1600 1620 1625 1630 1632 1638 1664 1680 1700 1728 1750 1755 1768 1785 1792 1800 1820 1836 1872 1890 1904 1920 1950 1956 1989 2000 2016 2025 2040 2080 2100 2106 2119 2125 2142 2160 2176 2184 2210 2240 2250 2268 2275 2282 2295 2304 2340 2380 2400 2445 2448 2457 2496 2520 2550 2592 2600 2608 2625 2652 2688 2700 2720 2730 2754 2771 2800 2808 2835 2856 2880 2912 2925 2934 2975 3000 3024 3060 3094 3120 3150 3200 3213 3240 3250 3260 3264 3276 3315 3328 3360 3375 3400 3423 3456 3500 3510 3536 3570 3600 3640 3672 3744 3780 3808 3825 3840 3900 3912 3978 4000 4032 4050 4075 4080 4095 4160 4200 4212 4238 4250 4284 4320 4352 4368 4401 4420 4480 4500 4536 4550 4564 4590 4641 4680 4725 4760 4800 4875 4890 4896 4914 4992 5040 5100 5184 5200 5216 5250 5265 5304 5355 5376 5400 5440 5460 5508 5525 5542 5600 5616 5670 5705 5712 5760 5824 5850 5868 5950 5967 6000 6048 6120 6188 6240 6300 6357 6375 6400 6426 6480 6500 6520 6528 6552 6630 6720 6750 6800 6825 6846 6885 6912 7000 7020 7072 7140 7200 7280 7335 7344 7371 7488 7560 7616 7650 7735 7800 7824 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1024394364000 1044480528000 1065370138560 1109760561000 1170736416000 1183744598400 1253376633600 1268297784000 1315271776000 1331712673200 1365859152000 1420493518080 1479680748000 1521957340800 1566720792000 1639030982400 1664640841500 1691063712000 1775616897600 1902446676000 1972907664000 2048788728000 2088961056000 2130740277120 2219521122000 2367489196800 2536595568000 2663425346400 2731718304000 2959361496000 3043914681600 3133441584000 3329281683000 3551233795200 3804893352000 3945815328000 4097577456000 4261480554240 4439042244000 5073191136000 5326850692800 5918722992000 6266883168000 6658563366000 7102467590400 7609786704000 8195154912000 8878084488000 10653701385600 11837445984000 13317126732000 15219573408000 17756168976000 21307402771200 26634253464000 35512337952000 53268506928000 106537013856000
- Sum of all divisors σ(n): 519839282971008
- Sum of proper divisors (its aliquot sum) s(n): 413302269115008
- 106537013856000 is an abundant number, because the sum of its proper divisors (413302269115008) is greater than itself. Its abundance is 306765255259008
Bases of 106537013856000
- Binary: 110000011100101000101001101110111000111000000002
- Hexadecimal: 0x60E514DDC700
- Base-36: 11RIFFCG00
Squares and roots of 106537013856000
- 106537013856000 squared (1065370138560002) is 11350135321353535988736000000
- 106537013856000 cubed (1065370138560003) is 1209209523998516676306561891926016000000000
-
The
square root of 106537013856000 is 10321676.8916683301 -
The
cube root of 106537013856000 is 47406.0212187491
Scales and comparisons
How big is 106537013856000?- 106,537,013,856,000 seconds is equal to 3,387,547 years, 26 weeks.
-
To count from 1 to 106,537,013,856,000 would take you about eight million, four hundred sixty-eight thousand, eight hundred sixty-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 106537013856000 cubic inches would be around 3950.5 feet tall.
Recreational maths with 106537013856000
- 106537013856000 backwards is 000658310735601
- 106537013856000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106537013856000's digits is 45
- More coming soon!
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"Number 106537013856000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 106537013856000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/106537013856000/
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The information we have on file for 106537013856000 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 106537013856000, math, Factors of 106537013856000, curriculum, school, college, exams, university, Prime factorization of 106537013856000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, five hundred thirty-seven billion, thirteen million, eight hundred fifty-six thousand.