13679817415680000
13,679,817,415,680,000 is an even composite number composed of six prime numbers multiplied together.
13679817415680000 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 13679817415680000:
213 × 3 × 54 × 13 × 293 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 29 × 29 × 29 × 53 × 53)See below for interesting mathematical facts about the number 13679817415680000 from the Numbermatics database.
Names of 13679817415680000
- Cardinal: 13679817415680000 can be written as Thirteen quadrillion, six hundred seventy-nine trillion, eight hundred seventeen billion, four hundred fifteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.367981741568 × 1016
Factors of 13679817415680000
Divisors of 13679817415680000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 53 58 60 64 65 75 78 80 87 96 100 104 106 116 120 125 128 130 145 150 156 159 160 174 192 195 200 208 212 232 240 250 256 260 265 290 300 312 318 320 325 348 375 377 384 390 400 416 424 435 464 480 500 512 520 530 580 600 624 625 636 640 650 689 696 725 750 754 768 780 795 800 832 841 848 870 928 960 975 1000 1024 1040 1060 1131 1160 1200 1248 1250 1272 1280 1300 1325 1378 1392 1450 1500 1508 1536 1537 1560 1590 1600 1625 1664 1682 1696 1740 1856 1875 1885 1920 1950 2000 2048 2067 2080 2120 2175 2262 2320 2400 2496 2500 2523 2544 2560 2600 2650 2756 2784 2809 2900 3000 3016 3072 3074 3120 3180 3200 3250 3328 3364 3392 3445 3480 3625 3712 3750 3770 3840 3900 3975 4000 4096 4134 4160 4205 4240 4350 4524 4611 4640 4800 4875 4992 5000 5046 5088 5120 5200 5300 5512 5568 5618 5655 5800 6000 6032 6144 6148 6240 6360 6400 6500 6625 6656 6728 6784 6890 6960 7250 7424 7500 7540 7680 7685 7800 7950 8000 8125 8192 8268 8320 8410 8427 8480 8700 9048 9222 9280 9425 9600 9750 9984 10000 10092 10176 10240 10335 10400 10600 10875 10933 11024 11136 11236 11310 11600 12000 12064 12288 12296 12480 12615 12720 12800 13000 13250 13312 13456 13568 13780 13920 14045 14500 14848 15000 15080 15360 15370 15600 15900 16000 16250 16536 16640 16820 16854 16960 17225 17400 18096 18125 18444 18560 18850 19200 19500 19875 19968 19981 20000 20184 20352 20480 20670 20800 21025 21200 21750 21866 22048 22272 22472 22620 23055 23200 24000 24128 24375 24389 24576 24592 24960 25230 25440 25600 26000 26500 26624 26912 27136 27560 27840 28090 28275 29000 29696 30000 30160 30720 30740 31200 31800 32000 32500 32799 33072 33125 33280 33640 33708 33920 34450 34800 36192 36250 36517 36888 37120 37700 38400 38425 39000 39750 39936 39962 40000 40368 40704 40960 41340 41600 42050 42135 42400 43500 43732 44096 44544 44573 44944 45240 46110 46400 47125 48000 48256 48750 48778 49184 49920 50460 50880 51200 51675 52000 53000 53248 53824 54272 54375 54665 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569992392320000 683990870784000 854988588480000 911987827712000 1052293647360000 1139984784640000 1367981741568000 1709977176960000 2279969569280000 2735963483136000 3419954353920000 4559939138560000 6839908707840000 13679817415680000
- Sum of all divisors σ(n): 51818780293489440
- Sum of proper divisors (its aliquot sum) s(n): 38138962877809440
- 13679817415680000 is an abundant number, because the sum of its proper divisors (38138962877809440) is greater than itself. Its abundance is 24459145462129440
Bases of 13679817415680000
- Binary: 1100001001100110111000101100011010011101100000000000002
- Hexadecimal: 0x3099B8B1A76000
- Base-36: 3QP39D2VKLC
Squares and roots of 13679817415680000
- 13679817415680000 squared (136798174156800002) is 187137404526341833909862400000000
- 13679817415680000 cubed (136798174156800003) is 2560005525564604280841085646832402432000000000000
-
The
square root of 13679817415680000 is 116960751.6036041895 -
The
cube root of 13679817415680000 is 239162.6922571691
Scales and comparisons
How big is 13679817415680000?- 13,679,817,415,680,000 seconds is equal to 434,975,879 years, 18 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 13,679,817,415,680,000 would take you about one billion, three hundred four million, nine hundred twenty-seven thousand, six hundred thirty-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 13679817415680000 cubic inches would be around 19930.2 feet tall.
Recreational maths with 13679817415680000
- 13679817415680000 backwards is 00008651471897631
- The number of decimal digits it has is: 17
- The sum of 13679817415680000's digits is 66
- More coming soon!
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"Number 13679817415680000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13679817415680000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13679817415680000/
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Numbermatics. 2024. "Number 13679817415680000 - Facts about the integer". https://numbermatics.com/n/13679817415680000/
The information we have on file for 13679817415680000 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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