13948324416000
13,948,324,416,000 is an even composite number composed of six prime numbers multiplied together.
13948324416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 13948324416000:
29 × 36 × 53 × 132 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 29 × 61)See below for interesting mathematical facts about the number 13948324416000 from the Numbermatics database.
Names of 13948324416000
- Cardinal: 13948324416000 can be written as Thirteen trillion, nine hundred forty-eight billion, three hundred twenty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3948324416 × 1013
Factors of 13948324416000
Divisors of 13948324416000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 61 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 122 125 128 130 135 144 145 150 156 160 162 169 174 180 183 192 195 200 208 216 225 232 234 240 243 244 250 256 260 261 270 288 290 300 305 312 320 324 325 338 348 351 360 366 375 377 384 390 400 405 416 432 435 450 464 468 480 486 488 500 507 512 520 522 540 549 576 580 585 600 610 624 640 648 650 675 676 696 702 720 725 729 732 750 754 768 780 783 793 800 810 832 845 864 870 900 915 928 936 960 972 975 976 1000 1014 1040 1044 1053 1080 1098 1125 1131 1152 1160 1170 1200 1215 1220 1248 1280 1296 1300 1305 1350 1352 1392 1404 1440 1450 1458 1464 1500 1508 1521 1525 1536 1560 1566 1586 1600 1620 1625 1647 1664 1690 1728 1740 1755 1769 1800 1830 1856 1872 1885 1920 1944 1950 1952 2000 2025 2028 2080 2088 2106 2160 2175 2196 2250 2262 2304 2320 2340 2349 2379 2400 2430 2440 2496 2535 2560 2592 2600 2610 2700 2704 2745 2784 2808 2880 2900 2916 2925 2928 3000 3016 3042 3050 3120 3132 3159 3172 3200 3240 3250 3294 3328 3375 3380 3393 3456 3480 3510 3538 3600 3625 3645 3660 3712 3744 3770 3840 3888 3900 3904 3915 3965 4000 4050 4056 4160 4176 4212 4225 4320 4350 4392 4500 4524 4563 4575 4608 4640 4680 4698 4758 4800 4860 4875 4880 4901 4941 4992 5070 5184 5200 5220 5265 5307 5400 5408 5490 5568 5616 5655 5760 5800 5832 5850 5856 6000 6032 6075 6084 6100 6240 6264 6318 6344 6400 6480 6500 6525 6588 6656 6750 6760 6786 6912 6960 7020 7047 7076 7137 7200 7250 7290 7320 7424 7488 7540 7605 7625 7680 7776 7800 7808 7830 7930 8000 8100 8112 8235 8320 8352 8424 8450 8640 8700 8775 8784 8845 9000 9048 9126 9150 9280 9360 9396 9425 9477 9516 9600 9720 9750 9760 9802 9882 9984 10125 10140 10179 10309 10368 10400 10440 10530 10614 10800 10816 10875 10980 11136 11232 11310 11520 11600 11664 11700 11712 11745 11895 12000 12064 12150 12168 12200 12480 12528 12636 12675 12688 12800 12960 13000 13050 13176 13500 13520 13572 13689 13725 13824 13920 14040 14094 14152 14274 14400 14500 14580 14625 14640 14703 14823 14848 14976 15080 15210 15250 15552 15600 15616 15660 15795 15860 15921 16000 16200 16224 16470 16640 16704 16848 16900 16965 17280 17400 17550 17568 17690 18000 18096 18225 18252 18300 18560 18720 18792 18850 18954 19032 19200 19440 19500 19520 19575 19604 19764 19825 19968 20250 20280 20358 20618 20736 20800 20880 21060 21125 21141 21228 21411 21600 21632 21750 21960 22272 22464 22620 22815 22875 22997 23040 23200 23328 23400 23424 23490 23790 24000 24128 24300 24336 24400 24505 24705 24960 25056 25272 25350 25376 25920 26000 26100 26325 26352 26535 27000 27040 27144 27378 27450 27840 28080 28188 28275 28304 28548 28800 29000 29160 29250 29280 29406 29646 29952 30160 30375 30420 30500 30537 30927 31104 31200 31232 31320 31590 31720 31842 32000 32400 32448 32625 32940 33280 33408 33696 33800 33930 34560 34800 35100 35136 35235 35380 35685 36000 36192 36450 36504 36600 37120 37440 37584 37700 37908 38025 38064 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39738816000 40081392000 41267232000 42917921280 43050384000 43588513800 44706168000 45732211200 46494414720 48097670400 48431682000 51660460800 53441856000 53647401600 54485642250 55793297664 57165264000 57400512000 58118018400 59608224000 60122088000 61992552960 64575576000 67059252000 69741622080 71529868800 72647523000 76220352000 77490691200 80162784000 82534464000 86100768000 87177027600 89412336000 92988829440 96195340800 96863364000 103320921600 107294803200 108971284500 111586595328 114330528000 116236036800 119216448000 120244176000 129151152000 134118504000 139483244160 145295046000 154981382400 160325568000 172201536000 174354055200 178824672000 185977658880 193726728000 214589606400 217942569000 228661056000 232472073600 240488352000 258302304000 268237008000 278966488320 290590092000 309962764800 348708110400 357649344000 387453456000 435885138000 464944147200 480976704000 516604608000 536474016000 557932976640 581180184000 697416220800 774906912000 871770276000 929888294400 1072948032000 1162360368000 1394832441600 1549813824000 1743540552000 2324720736000 2789664883200 3487081104000 4649441472000 6974162208000 13948324416000
- Sum of all divisors σ(n): 59372375839920
- Sum of proper divisors (its aliquot sum) s(n): 45424051423920
- 13948324416000 is an abundant number, because the sum of its proper divisors (45424051423920) is greater than itself. Its abundance is 31475727007920
Bases of 13948324416000
- Binary: 110010101111100110001110110000001010000000002
- Hexadecimal: 0xCAF98EC0A00
- Base-36: 4XZRS8000
Squares and roots of 13948324416000
- 13948324416000 squared (139483244160002) is 194555754013981741056000000
- 13948324416000 cubed (139483244160003) is 2713726773986511524149594423296000000000
-
The
square root of 13948324416000 is 3734745.5624178737 -
The
cube root of 13948324416000 is 24071.7323890811
Scales and comparisons
How big is 13948324416000?- 13,948,324,416,000 seconds is equal to 443,513 years, 29 weeks, 5 days.
-
To count from 1 to 13,948,324,416,000 would take you about one million, one hundred eight thousand, seven hundred eighty-three 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 13948324416000 cubic inches would be around 2006 feet tall.
Recreational maths with 13948324416000
- 13948324416000 backwards is 00061442384931
- 13948324416000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13948324416000's digits is 45
- More coming soon!
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"Number 13948324416000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 13948324416000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13948324416000/
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The information we have on file for 13948324416000 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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