13409307648000
13,409,307,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13409307648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3136 divisors.
13409307648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred thirty-six divisors.
Prime factorization of 13409307648000:
213 × 36 × 53 × 11 × 23 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 23 × 71)See below for interesting mathematical facts about the number 13409307648000 from the Numbermatics database.
Names of 13409307648000
- Cardinal: 13409307648000 can be written as Thirteen trillion, four hundred nine billion, three hundred seven million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3409307648 × 1013
Factors of 13409307648000
Divisors of 13409307648000
- Number of divisors d(n): 3136
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 71 72 75 80 81 88 90 92 96 99 100 108 110 115 120 125 128 132 135 138 142 144 150 160 162 165 176 180 184 192 198 200 207 213 216 220 225 230 240 243 250 253 256 264 270 275 276 284 288 297 300 320 324 330 345 352 355 360 368 375 384 396 400 405 414 426 432 440 450 460 480 486 495 500 506 512 528 540 550 552 568 575 576 594 600 621 639 640 648 660 675 690 704 710 720 729 736 750 759 768 781 792 800 810 825 828 852 864 880 891 900 920 960 972 990 1000 1012 1024 1035 1056 1065 1080 1100 1104 1125 1136 1150 1152 1188 1200 1215 1242 1265 1278 1280 1296 1320 1350 1375 1380 1408 1420 1440 1458 1472 1485 1500 1518 1536 1562 1584 1600 1620 1633 1650 1656 1704 1725 1728 1760 1775 1782 1800 1840 1863 1917 1920 1944 1980 2000 2024 2025 2048 2070 2112 2130 2160 2200 2208 2250 2272 2277 2300 2304 2343 2376 2400 2430 2475 2484 2530 2556 2560 2592 2640 2673 2700 2750 2760 2816 2840 2875 2880 2916 2944 2970 3000 3036 3072 3105 3124 3168 3195 3200 3240 3266 3300 3312 3375 3408 3450 3456 3520 3550 3564 3600 3645 3680 3726 3795 3834 3840 3888 3905 3960 4000 4048 4050 4096 4125 4140 4224 4260 4320 4400 4416 4455 4500 4544 4554 4600 4608 4686 4752 4800 4860 4899 4950 4968 5060 5112 5120 5175 5184 5280 5325 5346 5400 5500 5520 5589 5632 5680 5750 5751 5760 5832 5888 5940 6000 6072 6075 6144 6210 6248 6325 6336 6390 6400 6480 6532 6600 6624 6750 6816 6831 6900 6912 7029 7040 7100 7128 7200 7290 7360 7425 7452 7590 7668 7680 7776 7810 7920 8000 8019 8096 8100 8165 8192 8250 8280 8448 8520 8625 8640 8800 8832 8875 8910 9000 9088 9108 9200 9216 9315 9372 9504 9585 9600 9720 9798 9900 9936 10120 10125 10224 10240 10350 10368 10560 10650 10692 10800 11000 11040 11178 11264 11360 11385 11500 11502 11520 11664 11715 11776 11880 12000 12144 12150 12288 12375 12420 12496 12650 12672 12780 12800 12960 13064 13200 13248 13365 13500 13632 13662 13800 13824 14058 14080 14200 14256 14400 14580 14697 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31040064000 31477248000 32389632000 33109401600 33523269120 33861888000 34920072000 35758153728 36438336000 37248076800 37772697600 38094624000 38867558400 40634265600 41386752000 41904086400 44697692160 45149184000 46560096000 47215872000 48584448000 48761118720 49664102400 50792832000 52380108000 53001216000 53637230592 55182336000 55872115200 58301337600 59596922880 60951398400 62080128000 62954496000 64779264000 67046538240 67723776000 69840144000 72876672000 74496153600 76189248000 81268531200 82773504000 83808172800 89395384320 93120192000 94431744000 97168896000 99328204800 101585664000 104760216000 107274461184 111744230400 116602675200 121902796800 124160256000 134093076480 135447552000 139680288000 145753344000 148992307200 152378496000 165547008000 167616345600 178790768640 186240384000 188863488000 194337792000 203171328000 209520432000 223488460800 243805593600 248320512000 268186152960 279360576000 291506688000 297984614400 304756992000 335232691200 372480768000 406342656000 419040864000 446976921600 496641024000 536372305920 558721152000 583013376000 609513984000 670465382400 744961536000 838081728000 893953843200 1117442304000 1219027968000 1340930764800 1489923072000 1676163456000 2234884608000 2681861529600 3352326912000 4469769216000 6704653824000 13409307648000
- Sum of all divisors σ(n): 57924617647104
- Sum of proper divisors (its aliquot sum) s(n): 44515309999104
- 13409307648000 is an abundant number, because the sum of its proper divisors (44515309999104) is greater than itself. Its abundance is 31106002351104
Bases of 13409307648000
- Binary: 110000110010000110010000010011100000000000002
- Hexadecimal: 0xC321904E000
- Base-36: 4R45FK000
Squares and roots of 13409307648000
- 13409307648000 squared (134093076480002) is 179809531598711291904000000
- 13409307648000 cubed (134093076480003) is 2411121327249896993472267681792000000000
-
The
square root of 13409307648000 is 3661872.1506901357 -
The
cube root of 13409307648000 is 23757.5755101873
Scales and comparisons
How big is 13409307648000?- 13,409,307,648,000 seconds is equal to 426,374 years, 26 weeks, 2 days.
-
To count from 1 to 13,409,307,648,000 would take you about one million, sixty-five thousand, nine hundred thirty-six 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 13409307648000 cubic inches would be around 1979.8 feet tall.
Recreational maths with 13409307648000
- 13409307648000 backwards is 00084670390431
- 13409307648000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13409307648000's digits is 45
- More coming soon!
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"Number 13409307648000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13409307648000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13409307648000/
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The information we have on file for 13409307648000 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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