13684120456448000
13,684,120,456,448,000 is an even composite number composed of eight prime numbers multiplied together.
13684120456448000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13684120456448000:
211 × 53 × 13 × 17 × 23 × 89 × 173 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 23 × 89 × 173 × 683)See below for interesting mathematical facts about the number 13684120456448000 from the Numbermatics database.
Names of 13684120456448000
- Cardinal: 13684120456448000 can be written as Thirteen quadrillion, six hundred eighty-four trillion, one hundred twenty billion, four hundred fifty-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3684120456448 × 1016
Factors of 13684120456448000
Divisors of 13684120456448000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 25 26 32 34 40 46 50 52 64 65 68 80 85 89 92 100 104 115 125 128 130 136 160 170 173 178 184 200 208 221 230 250 256 260 272 299 320 325 340 346 356 368 391 400 416 425 442 445 460 500 512 520 544 575 598 640 650 680 683 692 712 736 782 800 832 850 865 884 890 920 1000 1024 1040 1088 1105 1150 1157 1196 1280 1300 1360 1366 1384 1424 1472 1495 1513 1564 1600 1625 1664 1700 1730 1768 1780 1840 1955 2000 2047 2048 2080 2125 2176 2210 2225 2249 2300 2314 2392 2560 2600 2720 2732 2768 2848 2875 2941 2944 2990 3026 3128 3200 3250 3328 3400 3415 3460 3536 3560 3680 3910 3979 4000 4094 4160 4250 4325 4352 4420 4450 4498 4600 4628 4784 5083 5120 5200 5440 5464 5525 5536 5696 5750 5785 5882 5888 5980 6052 6256 6400 6500 6656 6800 6830 6920 7072 7120 7360 7475 7565 7820 7958 8000 8188 8320 8500 8650 8704 8840 8879 8900 8996 9200 9256 9568 9775 10166 10235 10240 10400 10880 10928 11050 11072 11125 11245 11392 11500 11570 11611 11764 11776 11960 12104 12512 12800 13000 13312 13600 13660 13840 14144 14240 14705 14720 14950 15130 15397 15640 15709 15916 16000 16376 16640 17000 17075 17300 17408 17680 17758 17800 17992 18400 18512 19136 19550 19669 19895 20332 20470 20800 21625 21760 21856 22100 22144 22250 22490 22784 23000 23140 23222 23528 23552 23920 24208 25024 25415 25600 26000 26611 26624 27200 27320 27625 27680 28288 28480 28925 29410 29440 29900 30260 30794 31280 31418 31832 32000 32752 33280 34000 34150 34600 34799 34816 35360 35516 35600 35984 36800 37024 37375 37825 38233 38272 39100 39338 39790 40664 40940 41600 43250 43520 43712 44200 44288 44395 44500 44980 45568 46000 46280 46444 47056 47104 47840 48416 48875 50048 50830 51175 51200 51727 52000 53222 54400 54640 55250 55360 56225 56576 56960 57850 58055 58820 58880 59800 60520 60787 61588 62560 62836 63664 64000 65504 66560 67643 68000 68300 69200 69598 70720 71032 71200 71968 73525 73600 74048 74750 75650 76466 76544 76985 78200 78545 78676 79580 81328 81880 83200 85375 86500 87040 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9609635152000 9887370272000 10017657728000 10061853276800 10526246504960 10690719106600 11441572288000 11827243264000 11899235179520 12383819417600 12577316596000 13157808131200 13363398883250 13684120456448 14874043974400 15375416243200 15479774272000 15819792435200 16098965242880 16447260164000 17105150570560 17498875264000 18592554968000 19219270304000 19774740544000 20035315456000 20123706553600 21052493009920 21381438213200 22883144576000 23798470359040 25154633192000 26315616262400 26726797766500 27368240912896 29748087948800 30750832486400 30959548544000 32197930485760 32894520328000 34210301141120 34997750528000 37185109936000 38438540608000 39549481088000 40247413107200 42104986019840 42762876426400 45766289152000 50309266384000 52631232524800 53453595533000 54736481825792 59496175897600 61919097088000 65789040656000 68420602282240 74370219872000 76877081216000 79098962176000 80494826214400 85525752852800 100618532768000 105262465049600 106907191066000 109472963651584 118992351795200 131578081312000 136841204564480 148740439744000 153754162432000 160989652428800 171051505705600 201237065536000 210524930099200 213814382132000 263156162624000 273682409128960 297480879488000 342103011411200 402474131072000 427628764264000 526312325248000 547364818257920 594961758976000 684206022822400 804948262144000 855257528528000 1052624650496000 1368412045644800 1710515057056000 2736824091289600 3421030114112000 6842060228224000 13684120456448000
- Sum of all divisors σ(n): 41384541345638400
- Sum of proper divisors (its aliquot sum) s(n): 27700420889190400
- 13684120456448000 is an abundant number, because the sum of its proper divisors (27700420889190400) is greater than itself. Its abundance is 14016300432742400
Bases of 13684120456448000
- Binary: 1100001001110110100010100100101101111011001000000000002
- Hexadecimal: 0x309DA292DEC800
- Base-36: 3QQM65I8YRK
Squares and roots of 13684120456448000
- 13684120456448000 squared (136841204564480002) is 187255152666578619864776704000000
- 13684120456448000 cubed (136841204564480003) is 2562422065180021748018466070778076987392000000000
-
The
square root of 13684120456448000 is 116979145.3911679079 -
The
cube root of 13684120456448000 is 239187.7661524617
Scales and comparisons
How big is 13684120456448000?- 13,684,120,456,448,000 seconds is equal to 435,112,702 years, 39 weeks, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,684,120,456,448,000 would take you about one billion, three hundred five million, three hundred thirty-eight thousand, one hundred 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 13684120456448000 cubic inches would be around 19932.3 feet tall.
Recreational maths with 13684120456448000
- 13684120456448000 backwards is 00084465402148631
- The number of decimal digits it has is: 17
- The sum of 13684120456448000's digits is 56
- More coming soon!
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"Number 13684120456448000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13684120456448000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13684120456448000/
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The information we have on file for 13684120456448000 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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