13442316208128000
13,442,316,208,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13442316208128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3600 divisors.
13442316208128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 13442316208128000:
214 × 39 × 53 × 312 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 347)See below for interesting mathematical facts about the number 13442316208128000 from the Numbermatics database.
Names of 13442316208128000
- Cardinal: 13442316208128000 can be written as Thirteen quadrillion, four hundred forty-two trillion, three hundred sixteen billion, two hundred eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3442316208128 × 1016
Factors of 13442316208128000
Divisors of 13442316208128000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 256 270 279 288 300 310 320 324 347 360 372 375 384 400 405 432 450 465 480 486 496 500 512 540 558 576 600 620 640 648 675 694 720 729 744 750 768 775 800 810 837 864 900 930 960 961 972 992 1000 1024 1041 1080 1116 1125 1152 1200 1215 1240 1280 1296 1350 1388 1395 1440 1458 1488 1500 1536 1550 1600 1620 1674 1728 1735 1800 1860 1920 1922 1944 1984 2000 2025 2048 2082 2160 2187 2232 2250 2304 2325 2400 2430 2480 2511 2560 2592 2700 2776 2790 2880 2883 2916 2976 3000 3072 3100 3123 3200 3240 3348 3375 3456 3470 3600 3645 3720 3840 3844 3875 3888 3968 4000 4050 4096 4164 4185 4320 4374 4464 4500 4608 4650 4800 4805 4860 4960 5022 5120 5184 5205 5400 5552 5580 5760 5766 5832 5952 6000 6075 6144 6200 6246 6400 6480 6561 6696 6750 6912 6940 6975 7200 7290 7440 7533 7680 7688 7750 7776 7936 8000 8100 8192 8328 8370 8640 8649 8675 8748 8928 9000 9216 9300 9369 9600 9610 9720 9920 10044 10125 10240 10368 10410 10757 10800 10935 11104 11160 11520 11532 11625 11664 11904 12000 12150 12288 12400 12492 12555 12800 12960 13122 13392 13500 13824 13880 13950 14400 14415 14580 14880 15066 15360 15376 15500 15552 15615 15872 16000 16200 16384 16656 16740 17280 17298 17350 17496 17856 18000 18225 18432 18600 18738 19200 19220 19440 19683 19840 20088 20250 20480 20736 20820 20925 21514 21600 21870 22208 22320 22599 23040 23064 23250 23328 23808 24000 24025 24300 24576 24800 24984 25110 25600 25920 25947 26025 26244 26784 27000 27648 27760 27900 28107 28800 28830 29160 29760 30132 30375 30720 30752 31000 31104 31230 31744 32000 32271 32400 32805 33312 33480 34560 34596 34700 34875 34992 35712 36000 36450 36864 37200 37476 37665 38400 38440 38880 39366 39680 40176 40500 40960 41472 41640 41850 43028 43200 43245 43375 43740 44416 44640 45198 46080 46128 46500 46656 46845 47616 48000 48050 48600 49152 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17344924139520 17503015896000 17923088277504 18067629312000 18439391232000 18669883622400 19369331712000 19914542530560 20744315136000 21003619075200 21681155174400 22403860346880 23337354528000 24090172416000 24893178163200 26254523844000 26884632416256 27101443968000 27659086848000 28004825433600 28908206899200 29871813795840 31116472704000 33190904217600 33605790520320 35006031792000 35846176555008 36135258624000 37339767244800 38738663424000 41488630272000 42007238150400 43362310348800 44807720693760 46674709056000 48180344832000 49786356326400 52509047688000 53769264832512 54202887936000 55318173696000 56009650867200 59743627591680 62232945408000 67211581040640 70012063584000 72270517248000 74679534489600 82977260544000 84014476300800 86724620697600 89615441387520 93349418112000 99572712652800 105018095376000 107538529665024 108405775872000 112019301734400 124465890816000 134423162081280 140024127168000 144541034496000 149359068979200 165954521088000 168028952601600 179230882775040 186698836224000 210036190752000 216811551744000 224038603468800 248931781632000 268846324162560 280048254336000 298718137958400 336057905203200 373397672448000 420072381504000 433623103488000 448077206937600 497863563264000 537692648325120 560096508672000 672115810406400 746795344896000 840144763008000 896154413875200 1120193017344000 1344231620812800 1493590689792000 1680289526016000 2240386034688000 2688463241625600 3360579052032000 4480772069376000 6721158104064000 13442316208128000
- Sum of all divisors σ(n): 52151279565857472
- Sum of proper divisors (its aliquot sum) s(n): 38708963357729472
- 13442316208128000 is an abundant number, because the sum of its proper divisors (38708963357729472) is greater than itself. Its abundance is 25266647149601472
Bases of 13442316208128000
- Binary: 1011111100000110110111001000101000101101000000000000002
- Hexadecimal: 0x2FC1B7228B4000
- Base-36: 3OCWITC0000
Squares and roots of 13442316208128000
- 13442316208128000 squared (134423162081280002) is 180695865039300732213264384000000
- 13442316208128000 cubed (134423162081280003) is 2428970955359501860341662035355633713152000000000
-
The
square root of 13442316208128000 is 115941003.1357672875 -
The
cube root of 13442316208128000 is 237770.5354215769
Scales and comparisons
How big is 13442316208128000?- 13,442,316,208,128,000 seconds is equal to 427,424,075 years, 31 weeks, 3 days.
-
To count from 1 to 13,442,316,208,128,000 would take you about one billion, two hundred eighty-two million, two hundred seventy-two thousand, two hundred twenty-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 13442316208128000 cubic inches would be around 19814.2 feet tall.
Recreational maths with 13442316208128000
- 13442316208128000 backwards is 00082180261324431
- 13442316208128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13442316208128000's digits is 45
- More coming soon!
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MLA style:
"Number 13442316208128000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13442316208128000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13442316208128000/
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Numbermatics. 2024. "Number 13442316208128000 - Facts about the integer". https://numbermatics.com/n/13442316208128000/
The information we have on file for 13442316208128000 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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