13829307138835200
13,829,307,138,835,200 is an even composite number composed of five prime numbers multiplied together.
13829307138835200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 13829307138835200:
28 × 37 × 52 × 172 × 434
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 13829307138835200 from the Numbermatics database.
Names of 13829307138835200
- Cardinal: 13829307138835200 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, three hundred seven billion, one hundred thirty-eight million, eight hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.38293071388352 × 1016
Factors of 13829307138835200
Divisors of 13829307138835200
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 43 45 48 50 51 54 60 64 68 72 75 80 81 85 86 90 96 100 102 108 120 128 129 135 136 144 150 153 160 162 170 172 180 192 200 204 215 216 225 240 243 255 256 258 270 272 288 289 300 306 320 324 340 344 360 384 387 400 405 408 425 430 432 450 459 480 486 510 516 540 544 576 578 600 612 640 645 648 675 680 688 720 729 731 765 768 774 800 810 816 850 860 864 867 900 918 960 972 1020 1032 1075 1080 1088 1152 1156 1161 1200 1215 1224 1275 1280 1290 1296 1350 1360 1376 1377 1440 1445 1458 1462 1530 1548 1600 1620 1632 1700 1720 1728 1734 1800 1836 1849 1920 1935 1944 2025 2040 2064 2150 2160 2176 2187 2193 2295 2304 2312 2322 2400 2430 2448 2550 2580 2592 2601 2700 2720 2752 2754 2880 2890 2916 2924 3060 3096 3200 3225 3240 3264 3400 3440 3456 3468 3483 3600 3645 3655 3672 3698 3825 3840 3870 3888 4050 4080 4128 4131 4300 4320 4335 4352 4374 4386 4590 4624 4644 4800 4860 4896 5100 5160 5184 5202 5400 5440 5504 5508 5547 5760 5780 5805 5832 5848 6075 6120 6192 6400 6450 6480 6528 6579 6800 6880 6885 6912 6936 6966 7200 7225 7290 7310 7344 7396 7650 7740 7776 7803 8100 8160 8256 8262 8600 8640 8670 8748 8772 9180 9245 9248 9288 9600 9675 9720 9792 10200 10320 10368 10404 10449 10800 10880 10935 10965 11008 11016 11094 11475 11520 11560 11610 11664 11696 12150 12240 12384 12393 12427 12900 12960 13005 13056 13158 13600 13760 13770 13872 13932 14400 14450 14580 14620 14688 14792 15300 15480 15552 15606 16200 16320 16512 16524 16641 17200 17280 17340 17415 17496 17544 18225 18275 18360 18490 18496 18576 19200 19350 19440 19584 19737 20400 20640 20655 20736 20808 20898 21600 21675 21760 21870 21930 22032 22188 22950 23120 23220 23328 23392 23409 24300 24480 24768 24786 24854 25800 25920 26010 26316 27200 27520 27540 27735 27744 27864 28800 28900 29025 29160 29240 29376 29584 30600 30960 31104 31212 31347 31433 32400 32640 32895 33024 33048 33282 34400 34425 34560 34680 34830 34992 35088 36450 36550 36720 36980 36992 37152 37179 37281 38700 38880 39015 39168 39474 40800 41280 41310 41616 41796 43200 43350 43740 43860 44064 44376 45900 46225 46240 46440 46656 46784 46818 48600 48960 49536 49572 49708 49923 51600 51840 52020 52245 52632 54400 54675 54825 55040 55080 55470 55488 55728 57600 57800 58050 58320 58480 58752 59168 59211 61200 61920 61965 62135 62208 62424 62694 62866 64800 65025 65280 65790 66096 66564 68800 68850 69360 69660 69984 70176 70227 72900 73100 73440 73960 73984 74304 74358 74562 77400 77760 78030 78948 79507 81600 82560 82620 83205 83232 83592 86400 86700 87075 87480 87720 88128 88752 91800 92450 92480 92880 93312 93568 93636 94041 94299 97200 97920 98685 99072 99144 99416 99846 103200 103275 103680 104040 104490 105264 108800 109350 109650 110160 110940 110976 111456 111843 115600 116100 116640 116960 117045 117504 118336 118422 122400 123840 123930 124270 124848 125388 125732 129600 130050 131580 132192 133128 137600 137700 138675 138720 139320 139968 140352 140454 145800 146200 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1440552826962 1488943490400 1495383557400 1495868808960 1506460472640 1576528401600 1580853582400 1595075794560 1600614252180 1608058969632 1673844969600 1675061426700 1694768031720 1707321868992 1772306438400 1778460280200 1786732188480 1807752567168 1869836011200 1883075590800 1891834081920 1897024298880 1914090953472 1920737102616 1985257987200 1993844743200 2000767815225 2008613963520 2010073712040 2033721638064 2102037868800 2118460039650 2134152336240 2144078626176 2160829240443 2233415235600 2259690708960 2276429158656 2364792602400 2371280373600 2382309584640 2392613691840 2400921378270 2493114681600 2510767454400 2512592140050 2542152047580 2560982803488 2658459657600 2667690420300 2680098282720 2711628850752 2824613386200 2845536448320 2881105653924 2977886980800 2990767114800 3012920945280 3153056803200 3161707164800 3177690059475 3190151589120 3201228504360 3216117939264 3347689939200 3350122853400 3389536063440 3414643737984 3556920560400 3573464376960 3601382067405 3615505134336 3739672022400 3766151181600 3783668163840 3794048597760 3841474205232 3970515974400 3987689486400 4001535630450 4020147424080 4067443276128 4236920079300 4268304672480 4288157252352 4321658480886 4466830471200 4519381417920 4729585204800 4742560747200 4785227383680 4801842756540 5021534908800 5025184280100 5084304095160 5121965606976 5316919315200 5335380840600 5360196565440 5423257701504 5649226772400 5691072896640 5762211307848 5955773961600 5981534229600 6002303445675 6025841890560 6306113606400 6323414329600 6355380118950 6402457008720 6432235878528 6700245706800 6779072126880 6829287475968 7113841120800 7146928753920 7202764134810 7479344044800 7532302363200 7682948410464 7975378972800 8003071260900 8040294848160 8134886552256 8473840158600 8536609344960 8643316961772 8933660942400 9038762835840 9459170409600 9485121494400 9570454767360 9603685513080 10043069817600 10050368560200 10168608190320 10243931213952 10670761681200 10720393130880 10804146202215 10846515403008 11298453544800 11382145793280 11524422615696 11911547923200 11963068459200 12004606891350 12710760237900 12804914017440 12864471757056 13400491413600 13558144253760 14227682241600 14405528269620 15064604726400 15365896820928 15950757945600 16006142521800 16080589696320 16269773104512 16947680317200 17073218689920 17286633923544 17867321884800 18006910337025 18077525671680 18918340819200 18970242988800 19207371026160 20100737120400 20337216380640 20487862427904 21341523362400 21440786261760 21608292404430 22596907089600 23048845231392 23926136918400 24009213782700 25421520475800 25609828034880 26800982827200 27116288507520 28455364483200 28811056539240 30129209452800 30731793641856 32012285043600 32161179392640 32539546209024 33895360634400 34146437379840 34573267847088 35734643769600 36013820674050 38414742052320 40201474240800 40674432761280 42683046724800 43216584808860 45193814179200 46097690462784 47852273836800 48018427565400 50843040951600 51219656069760 53601965654400 54020731011075 54232577015040 56910728966400 57622113078480 61463587283712 64024570087200 64322358785280 67790721268800 69146535694176 72027641348100 76829484104640 80402948481600 81348865522560 85366093449600 86433169617720 90387628358400 92195380925568 96036855130800 101686081903200 102439312139520 107203931308800 108041462022150 115244226156960 128049140174400 135581442537600 138293071388352 144055282696200 153658968209280 160805896963200 162697731045120 170732186899200 172866339235440 184390761851136 192073710261600 203372163806400 216082924044300 230488452313920 256098280348800 271162885075200 276586142776704 288110565392400 307317936418560 321611793926400 345732678470880 384147420523200 406744327612800 432165848088600 460976904627840 512196560697600 553172285553408 576221130784800 691465356941760 768294841046400 813488655225600 864331696177200 921953809255680 1152442261569600 1382930713883520 1536589682092800 1728663392354400 2304884523139200 2765861427767040 3457326784708800 4609769046278400 6914653569417600 13829307138835200
- Sum of all divisors σ(n): 55832592961925360
- Sum of proper divisors (its aliquot sum) s(n): 42003285823090160
- 13829307138835200 is an abundant number, because the sum of its proper divisors (42003285823090160) is greater than itself. Its abundance is 28173978684254960
Bases of 13829307138835200
- Binary: 1100010010000110101110011110111000000000000011000000002
- Hexadecimal: 0x3121AE7B800300
- Base-36: 3S62VZSC000
Squares and roots of 13829307138835200
- 13829307138835200 squared (138293071388352002) is 191249735940238225688012759040000
- 13829307138835200 cubed (138293071388352003) is 2644851338538683415384976775721574283870208000000
-
The
square root of 13829307138835200 is 117598074.5541150431 -
The
cube root of 13829307138835200 is 240030.7086795699
Scales and comparisons
How big is 13829307138835200?- 13,829,307,138,835,200 seconds is equal to 439,729,190 years, 8 weeks, 2 days.
-
To count from 1 to 13,829,307,138,835,200 would take you about one billion, three hundred nineteen million, one hundred eighty-seven thousand, five hundred seventy 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 13829307138835200 cubic inches would be around 20002.6 feet tall.
Recreational maths with 13829307138835200
- 13829307138835200 backwards is 00253883170392831
- The number of decimal digits it has is: 17
- The sum of 13829307138835200's digits is 63
- More coming soon!
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"Number 13829307138835200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13829307138835200 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13829307138835200/
Chicago style:
Numbermatics. 2024. "Number 13829307138835200 - Facts about the integer". https://numbermatics.com/n/13829307138835200/
The information we have on file for 13829307138835200 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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