13672308748800
13,672,308,748,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13672308748800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
13672308748800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13672308748800:
29 × 3 × 52 × 132 × 53 × 127 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 53 × 127 × 313)See below for interesting mathematical facts about the number 13672308748800 from the Numbermatics database.
Names of 13672308748800
- Cardinal: 13672308748800 can be written as Thirteen trillion, six hundred seventy-two billion, three hundred eight million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36723087488 × 1013
Factors of 13672308748800
Divisors of 13672308748800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 120 127 128 130 150 156 159 160 169 192 195 200 208 212 240 254 256 260 265 300 312 313 318 320 325 338 381 384 390 400 416 424 480 507 508 512 520 530 600 624 626 635 636 640 650 676 689 762 768 780 795 800 832 845 848 939 960 975 1014 1016 1040 1060 1200 1248 1252 1270 1272 1280 1300 1325 1352 1378 1524 1536 1560 1565 1590 1600 1651 1664 1690 1696 1878 1905 1920 1950 2028 2032 2067 2080 2120 2400 2496 2504 2535 2540 2544 2560 2600 2650 2704 2756 3048 3120 3130 3175 3180 3200 3302 3328 3380 3392 3445 3756 3810 3840 3900 3975 4056 4064 4069 4134 4160 4225 4240 4695 4800 4953 4992 5008 5070 5080 5088 5200 5300 5408 5512 6096 6240 6260 6350 6360 6400 6604 6656 6731 6760 6784 6890 7512 7620 7680 7800 7825 7950 8112 8128 8138 8255 8268 8320 8450 8480 8957 9390 9525 9600 9906 9984 10016 10140 10160 10176 10335 10400 10600 10816 11024 12192 12207 12480 12520 12675 12700 12720 12800 13208 13462 13520 13568 13780 15024 15240 15600 15650 15900 16224 16256 16276 16510 16536 16589 16640 16900 16960 17225 17914 18780 19050 19200 19812 19968 20032 20193 20280 20320 20345 20352 20670 20800 21200 21463 21632 22048 23475 24384 24414 24765 24960 25040 25350 25400 25440 26416 26871 26924 27040 27136 27560 30048 30480 31200 31300 31800 32448 32512 32552 33020 33072 33178 33280 33655 33800 33920 34450 35828 37560 38100 38400 39624 39751 40064 40386 40560 40640 40690 40704 41275 41340 41600 42400 42926 43264 44096 44785 46950 48768 48828 49530 49767 49920 50080 50700 50800 50880 51675 52832 52897 53742 53848 54080 55120 60096 60960 61035 62400 62600 63600 64389 64896 65024 65104 66040 66144 66356 67310 67600 67840 68900 71656 75120 76200 79248 79502 80128 80772 81120 81280 81380 81408 82550 82680 82945 83200 84800 85852 86528 87503 88192 89570 93900 97536 97656 99060 99534 99840 100160 100965 101400 101600 101725 101760 103350 105664 105794 107315 107484 107696 108160 110240 119253 120192 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53827987200 56967953120 64492022400 65732253600 68361543744 70114403840 71209941400 80901235200 85451929680 85989363200 87643004800 91148724992 105171605760 106814912100 107655974400 113935906240 128984044800 131464507200 136723087488 142419882800 170903859360 175286009600 182297449984 210343211520 213629824200 227871812480 257968089600 262929014400 273446174976 284839765600 341807718720 350572019200 427259648400 455743624960 525858028800 546892349952 569679531200 683615437440 854519296800 911487249920 1051716057600 1139359062400 1367230874880 1709038593600 2278718124800 2734461749760 3418077187200 4557436249600 6836154374400 13672308748800
- Sum of all divisors σ(n): 50382740441088
- Sum of proper divisors (its aliquot sum) s(n): 36710431692288
- 13672308748800 is an abundant number, because the sum of its proper divisors (36710431692288) is greater than itself. Its abundance is 23038122943488
Bases of 13672308748800
- Binary: 110001101111010101010001101100110010000000002
- Hexadecimal: 0xC6F551B3200
- Base-36: 4UGYZMC5C
Squares and roots of 13672308748800
- 13672308748800 squared (136723087488002) is 186932026522513021501440000
- 13672308748800 cubed (136723087488003) is 2555792381654668424036060623798272000000
-
The
square root of 13672308748800 is 3697608.5175150709 -
The
cube root of 13672308748800 is 23911.8926525651
Scales and comparisons
How big is 13672308748800?- 13,672,308,748,800 seconds is equal to 434,737 years, 6 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 13,672,308,748,800 would take you about one million, eighty-six thousand, eight hundred forty-two 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 13672308748800 cubic inches would be around 1992.7 feet tall.
Recreational maths with 13672308748800
- 13672308748800 backwards is 00884780327631
- The number of decimal digits it has is: 14
- The sum of 13672308748800's digits is 57
- More coming soon!
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"Number 13672308748800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13672308748800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13672308748800/
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The information we have on file for 13672308748800 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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