13997578971168000
13,997,578,971,168,000 is an even composite number composed of six prime numbers multiplied together.
13997578971168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 13997578971168000:
28 × 34 × 53 × 132 × 172 × 110569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 110569)See below for interesting mathematical facts about the number 13997578971168000 from the Numbermatics database.
Names of 13997578971168000
- Cardinal: 13997578971168000 can be written as Thirteen quadrillion, nine hundred ninety-seven trillion, five hundred seventy-eight billion, nine hundred seventy-one million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3997578971168 × 1016
Factors of 13997578971168000
Divisors of 13997578971168000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 162 169 170 180 192 195 200 204 208 216 221 225 234 240 250 255 256 260 270 272 288 289 300 306 312 320 324 325 338 340 351 360 375 384 390 400 405 408 416 425 432 442 450 459 468 480 500 507 510 520 540 544 576 578 585 600 612 624 640 648 650 663 675 676 680 702 720 750 765 768 780 800 810 816 832 845 850 864 867 884 900 918 936 960 975 1000 1014 1020 1040 1053 1080 1088 1105 1125 1152 1156 1170 1200 1224 1248 1275 1280 1296 1300 1326 1350 1352 1360 1377 1404 1440 1445 1500 1521 1530 1560 1600 1620 1625 1632 1664 1690 1700 1728 1734 1755 1768 1800 1836 1872 1920 1950 1989 2000 2025 2028 2040 2080 2106 2125 2160 2176 2210 2250 2295 2304 2312 2340 2400 2448 2496 2535 2550 2592 2600 2601 2652 2700 2704 2720 2754 2808 2873 2880 2890 2925 3000 3042 3060 3120 3200 3240 3250 3264 3315 3328 3375 3380 3400 3456 3468 3510 3536 3600 3672 3744 3757 3825 3840 3900 3978 4000 4050 4056 4080 4160 4212 4225 4250 4320 4335 4352 4420 4500 4563 4590 4624 4680 4800 4875 4896 4992 5070 5100 5184 5200 5202 5265 5304 5400 5408 5440 5508 5525 5616 5746 5760 5780 5850 5967 6000 6084 6120 6240 6375 6400 6480 6500 6528 6630 6750 6760 6800 6885 6912 6936 7020 7072 7200 7225 7344 7488 7514 7605 7650 7800 7803 7956 8000 8100 8112 8160 8320 8424 8450 8500 8619 8640 8670 8775 8840 9000 9126 9180 9248 9360 9600 9750 9792 9945 9984 10125 10140 10200 10368 10400 10404 10530 10608 10800 10816 10880 11016 11050 11232 11271 11475 11492 11520 11560 11700 11934 12000 12168 12240 12480 12675 12750 12960 13000 13005 13056 13260 13500 13520 13600 13689 13770 13872 14040 14144 14365 14400 14450 14625 14688 14976 15028 15210 15300 15600 15606 15912 16000 16200 16224 16320 16575 16640 16848 16900 17000 17238 17280 17340 17550 17680 17901 18000 18252 18360 18496 18720 18785 19125 19200 19500 19584 19890 20250 20280 20400 20736 20800 20808 21060 21125 21216 21600 21632 21675 21760 22032 22100 22464 22542 22815 22950 22984 23120 23400 23409 23868 24000 24336 24480 24960 25350 25500 25857 25920 26000 26010 26325 26520 27000 27040 27200 27378 27540 27625 27744 28080 28288 28730 28800 28900 29250 29376 29835 29952 30056 30420 30600 31200 31212 31824 32000 32400 32448 32640 33150 33696 33800 33813 34000 34425 34476 34560 34680 35100 35360 35802 36000 36125 36504 36720 36992 37440 37570 38025 38250 39000 39015 39168 39780 40500 40560 40800 41600 41616 42120 42250 42432 43095 43200 43264 43350 43875 44064 44200 44928 45084 45630 45900 45968 46240 46800 46818 47736 48000 48672 48841 48960 49725 49920 50700 51000 51714 51840 52000 52020 52650 53040 54000 54080 54400 54756 55080 55250 55488 56160 56355 56576 57375 57460 57600 57800 58500 58752 59670 60112 60840 61200 62400 62424 63375 63648 64800 64896 65025 65280 66300 67392 67600 67626 68000 68445 68850 68952 69360 70200 70720 71604 71825 72000 72250 73008 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68615583192000 69987894855840 71782456262400 72904057141500 77764327617600 82338699830400 82825911072000 86404808464000 87484868569800 89728070328000 91487444256000 93317193141120 97205409522000 102923374788000 103685770156800 107673684393600 109356085712250 111980631769344 116646491426400 119637427104000 129607212696000 134592105492000 137231166384000 139975789711680 145808114283000 155528655235200 164677399660800 172809616928000 174969737139600 179456140656000 186634386282240 194410819044000 205846749576000 215347368787200 218712171424500 233292982852800 259214425392000 269184210984000 274462332768000 279951579423360 291616228566000 311057310470400 349939474279200 358912281312000 388821638088000 411693499152000 437424342849000 466585965705600 518428850784000 538368421968000 559903158846720 583232457132000 699878948558400 777643276176000 823386998304000 874848685698000 933171931411200 1076736843936000 1166464914264000 1399757897116800 1555286552352000 1749697371396000 2332929828528000 2799515794233600 3499394742792000 4665859657056000 6998789485584000 13997578971168000
- Sum of all divisors σ(n): 59918046214146120
- Sum of proper divisors (its aliquot sum) s(n): 45920467242978120
- 13997578971168000 is an abundant number, because the sum of its proper divisors (45920467242978120) is greater than itself. Its abundance is 31922888271810120
Bases of 13997578971168000
- Binary: 1100011011101010111001010100100100101010111101000000002
- Hexadecimal: 0x31BAB9524ABD00
- Base-36: 3TTQ708NK00
Squares and roots of 13997578971168000
- 13997578971168000 squared (139975789711680002) is 195932217054084605375284224000000
- 13997578971168000 cubed (139975789711680003) is 2742576681210578854320998230713501253632000000000
-
The
square root of 13997578971168000 is 118311364.5055621867 -
The
cube root of 13997578971168000 is 241000.3327025359
Scales and comparisons
How big is 13997578971168000?- 13,997,578,971,168,000 seconds is equal to 445,079,713 years, 48 weeks, 2 days.
-
To count from 1 to 13,997,578,971,168,000 would take you about one billion, three hundred thirty-five million, two hundred thirty-nine thousand, one hundred forty-one 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 13997578971168000 cubic inches would be around 20083.4 feet tall.
Recreational maths with 13997578971168000
- 13997578971168000 backwards is 00086117987579931
- 13997578971168000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13997578971168000's digits is 81
- More coming soon!
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"Number 13997578971168000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13997578971168000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13997578971168000/
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The information we have on file for 13997578971168000 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 13997578971168000, math, Factors of 13997578971168000, curriculum, school, college, exams, university, Prime factorization of 13997578971168000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred ninety-seven trillion, five hundred seventy-eight billion, nine hundred seventy-one million, one hundred sixty-eight thousand.