4131142717010400
4,131,142,717,010,400 is an even composite number composed of six prime numbers multiplied together.
4131142717010400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 4131142717010400:
25 × 36 × 52 × 7 × 132 × 24472
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 2447 × 2447)See below for interesting mathematical facts about the number 4131142717010400 from the Numbermatics database.
Names of 4131142717010400
- Cardinal: 4131142717010400 can be written as Four quadrillion, one hundred thirty-one trillion, one hundred forty-two billion, seven hundred seventeen million, ten thousand, four hundred.
Scientific notation
- Scientific notation: 4.1311427170104 × 1015
Factors of 4131142717010400
Divisors of 4131142717010400
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 162 168 169 175 180 182 189 195 200 208 210 216 224 225 234 240 243 252 260 270 273 280 288 300 312 315 324 325 336 338 350 351 360 364 378 390 400 405 416 420 432 450 455 468 480 486 504 507 520 525 540 546 560 567 585 600 624 630 648 650 672 675 676 700 702 720 728 729 756 780 800 810 819 840 845 864 900 910 936 945 972 975 1008 1014 1040 1050 1053 1080 1092 1120 1134 1170 1183 1200 1215 1248 1260 1296 1300 1350 1352 1365 1400 1404 1440 1456 1458 1512 1521 1560 1575 1620 1638 1680 1690 1701 1755 1800 1820 1872 1890 1944 1950 2016 2025 2028 2080 2100 2106 2160 2184 2268 2275 2340 2366 2400 2430 2447 2457 2520 2535 2592 2600 2700 2704 2730 2800 2808 2835 2912 2916 2925 3024 3042 3120 3150 3159 3240 3276 3360 3380 3402 3510 3549 3600 3640 3645 3744 3780 3888 3900 4050 4056 4095 4200 4212 4225 4320 4368 4536 4550 4563 4680 4725 4732 4860 4894 4914 5040 5070 5103 5200 5265 5400 5408 5460 5600 5616 5670 5832 5850 5915 6048 6075 6084 6240 6300 6318 6480 6552 6760 6804 6825 7020 7098 7200 7280 7290 7341 7371 7560 7605 7776 7800 8100 8112 8190 8400 8424 8450 8505 8736 8775 9072 9100 9126 9360 9450 9464 9477 9720 9788 9828 10080 10140 10206 10400 10530 10647 10800 10920 11232 11340 11664 11700 11830 12150 12168 12235 12285 12600 12636 12675 12960 13104 13520 13608 13650 13689 14040 14175 14196 14560 14580 14682 14742 15120 15210 15600 15795 16200 16224 16380 16800 16848 16900 17010 17129 17550 17745 18144 18200 18225 18252 18720 18900 18928 18954 19440 19576 19656 20280 20412 20475 21060 21294 21600 21840 22023 22113 22680 22815 23328 23400 23660 24300 24336 24470 24570 25200 25272 25350 25515 26208 26325 27040 27216 27300 27378 28080 28350 28392 29160 29364 29484 29575 30240 30420 31200 31590 31811 31941 32400 32760 33696 33800 34020 34258 35100 35490 36400 36450 36504 36705 36855 37800 37856 37908 38025 38880 39152 39312 40560 40824 40950 41067 42120 42525 42588 43680 44046 44226 45360 45630 46800 47320 47385 48600 48672 48940 49140 50400 50544 50700 51030 51387 52650 53235 54432 54600 54756 56160 56700 56784 58320 58728 58968 59150 60840 61175 61425 63180 63622 63882 64800 65520 66069 66339 67600 68040 68445 68516 70200 70980 72800 72900 73008 73410 73710 75600 75816 76050 78304 78624 78975 81120 81648 81900 82134 84240 85050 85176 85645 88092 88452 88725 90720 91260 93600 94640 94770 95433 95823 97200 97880 98280 101088 101400 102060 102774 105300 106470 109200 109512 110115 110565 113400 113568 114075 116640 117456 117936 118300 121680 122350 122850 123201 126360 127244 127575 127764 131040 132138 132678 135200 136080 136890 137032 140400 141960 145800 146016 146820 147420 151200 151632 152100 154161 157950 159055 159705 163296 163800 164268 168480 170100 170352 171290 176184 176904 177450 182520 183525 184275 189280 189540 190866 191646 194400 195760 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19672108176240 19861263062550 20655713585052 21185347266720 21857897973600 22698586357200 22950792872280 23606529811488 24444631461600 24590135220300 25500880969200 25819641981315 26481684083400 27540951446736 28688491090350 29508162264360 30601057163040 31778020900080 32786846960400 34426189308420 35308912111200 36885202830450 38251321453800 39344216352480 39722526125100 41311427170104 43032736635525 45397172714400 45901585744560 49180270440600 51001761938400 51639283962630 52963368166800 55081902893472 57376982180700 59016324528720 63556041800160 65573693920800 68852378616840 73770405660900 76502642907600 79445052250200 82622854340208 86065473271050 91803171489120 98360540881200 103278567925260 105926736333600 114753964361400 118032649057440 129098209906575 137704757233680 147540811321800 153005285815200 158890104500400 165245708680416 172130946542100 196721081762400 206557135850520 229507928722800 258196419813150 275409514467360 295081622643600 317780209000800 344261893084200 413114271701040 459015857445600 516392839626300 590163245287200 688523786168400 826228543402080 1032785679252600 1377047572336800 2065571358505200 4131142717010400
- Sum of all divisors σ(n): 18720133317331992
- Sum of proper divisors (its aliquot sum) s(n): 14588990600321592
- 4131142717010400 is an abundant number, because the sum of its proper divisors (14588990600321592) is greater than itself. Its abundance is 10457847883311192
Bases of 4131142717010400
- Binary: 11101010110101000000100111100010100111110001111000002
- Hexadecimal: 0xEAD409E29F1E0
- Base-36: 14OD8RIRI00
Squares and roots of 4131142717010400
- 4131142717010400 squared (41311427170104002) is 17066340148308069857513708160000
- 4131142717010400 cubed (41311427170104003) is 70503486809705072601737387119365613284864000000
-
The
square root of 4131142717010400 is 64273966.0905595585 -
The
cube root of 4131142717010400 is 160456.2849991337
Scales and comparisons
How big is 4131142717010400?- 4,131,142,717,010,400 seconds is equal to 131,357,559 years, 48 weeks, 5 days, 6 hours.
-
To count from 1 to 4,131,142,717,010,400 would take you about three hundred ninety-four million, seventy-two thousand, six hundred seventy-nine 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 4131142717010400 cubic inches would be around 13371.4 feet tall.
Recreational maths with 4131142717010400
- 4131142717010400 backwards is 0040107172411314
- 4131142717010400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4131142717010400's digits is 36
- More coming soon!
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"Number 4131142717010400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 September 2024.
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Numbermatics. (2024). Number 4131142717010400 - Facts about the integer. Retrieved 28 September 2024, from https://numbermatics.com/n/4131142717010400/
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The information we have on file for 4131142717010400 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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