138433294343884800
138,433,294,343,884,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138433294343884800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2496 divisors.
138433294343884800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138433294343884800:
212 × 3 × 52 × 13 × 71 × 421 × 1061 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 71 × 421 × 1061 × 1093)See below for interesting mathematical facts about the number 138433294343884800 from the Numbermatics database.
Names of 138433294343884800
- Cardinal: 138433294343884800 can be written as One hundred thirty-eight quadrillion, four hundred thirty-three trillion, two hundred ninety-four billion, three hundred forty-three million, eight hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384332943438848 × 1017
Factors of 138433294343884800
Divisors of 138433294343884800
- Number of divisors d(n): 2496
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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 60 64 65 71 75 78 80 96 100 104 120 128 130 142 150 156 160 192 195 200 208 213 240 256 260 284 300 312 320 325 355 384 390 400 416 421 426 480 512 520 568 600 624 640 650 710 768 780 800 832 842 852 923 960 975 1024 1040 1061 1065 1093 1136 1200 1248 1263 1280 1300 1420 1536 1560 1600 1664 1684 1704 1775 1846 1920 1950 2048 2080 2105 2122 2130 2186 2272 2400 2496 2526 2560 2600 2769 2840 3072 3120 3183 3200 3279 3328 3368 3408 3550 3692 3840 3900 4096 4160 4210 4244 4260 4372 4544 4615 4800 4992 5052 5120 5200 5305 5325 5465 5473 5538 5680 6144 6240 6315 6366 6400 6558 6656 6736 6816 7100 7384 7680 7800 8320 8420 8488 8520 8744 9088 9230 9600 9984 10104 10240 10400 10525 10610 10650 10930 10946 11076 11360 12288 12480 12630 12732 12800 13116 13312 13472 13632 13793 13845 14200 14209 14768 15360 15600 15915 16395 16419 16640 16840 16976 17040 17488 18176 18460 19200 19968 20208 20480 20800 21050 21220 21300 21860 21892 22152 22720 23075 24960 25260 25464 25600 26232 26525 26624 26944 27264 27325 27365 27586 27690 28400 28418 29536 29891 30720 31200 31575 31830 32790 32838 33280 33680 33952 34080 34976 36352 36920 38400 39936 40416 41379 41600 42100 42440 42600 42627 43720 43784 44304 45440 46150 49920 50520 50928 51200 52464 53050 53248 53888 54528 54650 54730 55172 55380 56800 56836 59072 59782 61440 62400 63150 63660 65580 65676 66560 67360 67904 68160 68965 69225 69952 71045 72704 73840 75331 76800 77603 79575 79872 80832 81975 82095 82758 83200 84200 84880 85200 85254 87440 87568 88608 89673 90880 92300 99840 101040 101856 102400 104928 106100 107776 109056 109300 109460 110344 110760 113600 113672 118144 119564 124800 126300 127320 131160 131352 133120 134720 135808 136320 136825 137930 138450 139904 142090 145408 147680 149455 150662 153600 155206 159150 159744 161664 163950 164190 165516 166400 168400 169760 170400 170508 174880 175136 177216 179346 181760 184600 199680 202080 203712 206895 209856 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926254018560 937386879360 952033549350 974264862720 989487751200 999879337984 1003648911360 1011754389504 1015502452640 1019330925600 1027563051840 1039913569290 1053910822400 1055453601280 1087286320640 1096067255296 1109241140576 1157817523200 1171733599200 1217831078400 1218602943168 1249849172480 1254561139200 1264692986880 1266544321536 1269378065800 1284453814800 1304743584768 1319317001600 1351887640077 1359107900800 1370084069120 1386551425720 1499819006976 1523253678960 1543756697600 1562311465600 1580866233600 1583180401920 1623774771200 1624803924224 1630929480960 1644100882944 1663861710864 1672748185600 1686257315840 1688725762048 1712605086400 1733189282150 1739658113024 1783865241600 1802516853436 1837667020800 1874773758720 1904067098700 1948529725440 1978975502400 1999758675968 2007297822720 2031004905280 2038661851200 2055126103680 2079827138580 2107821644800 2110907202560 2174572641280 2192134510592 2218482281152 2253146066795 2315635046400 2343467198400 2435662156800 2437205886336 2499698344960 2509122278400 2529385973760 2533088643072 2538756131600 2568907629600 2599783923225 2609487169536 2638634003200 2703775280154 2718215801600 2740168138240 2773102851440 2999638013952 3046507357920 3124622931200 3161732467200 3166360803840 3247549542400 3249607848448 3261858961920 3288201765888 3327723421728 3345496371200 3425210172800 3466378564300 3605033706872 3749547517440 3808134197400 3957951004800 4062009810560 4077323702400 4110252207360 4159654277160 4215643289600 4221814405120 4349145282560 4384269021184 4436964562304 4506292133590 4631270092800 4686934396800 4871324313600 4874411772672 4999396689920 5018244556800 5058771947520 5066177286144 5077512263200 5137815259200 5199567846450 5218974339072 5277268006400 5407550560308 5436431603200 5480336276480 5546205702880 5999276027904 6093014715840 6249245862400 6323464934400 6332721607680 6499215696896 6523717923840 6576403531776 6655446843456 6759438200385 6850420345600 6932757128600 7210067413744 7499095034880 7616268394800 7915902009600 8124019621120 8154647404800 8220504414720 8319308554320 8431286579200 8443628810240 8698290565120 8873929124608 9012584267180 9373868793600 9742648627200 9748823545344 9998793379840 10036489113600 10155024526400 10275630518400 10399135692900 10554536012800 10815101120616 10872863206400 10960672552960 11092411405760 11265730333975 12186029431680 12498491724800 12646929868800 12665443215360 12998431393792 13047435847680 13152807063552 13310893686912 13518876400770 13700840691200 13865514257200 14420134827488 14998190069760 15232536789600 15831804019200 16248039242240 16309294809600 16441008829440 16638617108640 17747858249216 18025168534360 18747737587200 19497647090688 20310049052800 20551261036800 20798271385800 21109072025600 21630202241232 21745726412800 21921345105920 22184822811520 22531460667950 24372058863360 24996983449600 25293859737600 25330886430720 25996862787584 26094871695360 26621787373824 27037752801540 27401681382400 27731028514400 28840269654976 29996380139520 30465073579200 31663608038400 32496078484480 32618589619200 32882017658880 33277234217280 33797191001925 35495716498432 36050337068720 37495475174400 38995294181376 40620098105600 41102522073600 41596542771600 42218144051200 43260404482464 43491452825600 44369645623040 45062921335900 48744117726720 49993966899200 53243574747648 54075505603080 54803362764800 55462057028800 57680539309952 60930147158400 63327216076800 64992156968960 65237179238400 65764035317760 66554468434560 67594382003850 70991432996864 72100674137440 74990950348800 77990588362752 81240196211200 82205044147200 83193085543200 86520808964928 88739291246080 90125842671800 97488235453440 106487149495296 108151011206160 109606725529600 110924114057600 115361078619904 121860294316800 126654432153600 129984313937920 130474358476800 133108936869120 135188764007700 141982865993728 144201348274880 149981900697600 162480392422400 164410088294400 166386171086400 173041617929856 177478582492160 180251685343600 194976470906880 212974298990592 216302022412320 221848228115200 230722157239808 243720588633600 266217873738240 270377528015400 288402696549760 324960784844800 328820176588800 332772342172800 346083235859712 354957164984320 360503370687200 389952941813760 425948597981184 432604044824640 443696456230400 461444314479616 487441177267200 532435747476480 540755056030800 576805393099520 649921569689600 665544684345600 692166471719424 709914329968640 721006741374400 865208089649280 887392912460800 922888628959232 974882354534400 1064871494952960 1081510112061600 1153610786199040 1331089368691200 1384332943438848 1442013482748800 1730416179298560 1774785824921600 1845777257918464 1949764709068800 2129742989905920 2163020224123200 2307221572398080 2662178737382400 2768665886877696 2884026965497600 3460832358597120 3549571649843200 4326040448246400 4614443144796160 5324357474764800 5537331773755392 5768053930995200 6921664717194240 8652080896492800 9228886289592320 10648714949529600 11536107861990400 13843329434388480 17304161792985600 23072215723980800 27686658868776960 34608323585971200 46144431447961600 69216647171942400 138433294343884800
- Sum of all divisors σ(n): 501964995741092352
- Sum of proper divisors (its aliquot sum) s(n): 363531701397207552
- 138433294343884800 is an abundant number, because the sum of its proper divisors (363531701397207552) is greater than itself. Its abundance is 225098407053322752
Bases of 138433294343884800
- Binary: 1111010111101000001011001000001100111010001010000000000002
- Hexadecimal: 0x1EBD05906745000
- Base-36: 11V2I9H6LW5C
Squares and roots of 138433294343884800
- 138433294343884800 squared (1384332943438848002) is 19163776982900647359319155671040000
- 138433294343884800 cubed (1384332943438848003) is 2652904779814449903692344853870843589864456192000000
-
The
square root of 138433294343884800 is 372066249.9392880973 -
The
cube root of 138433294343884800 is 517305.2087641683
Scales and comparisons
How big is 138433294343884800?- 138,433,294,343,884,800 seconds is equal to 4,401,750,557 years, 43 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 138,433,294,343,884,800 would take you about thirteen billion, two hundred five million, two hundred fifty-one thousand, six hundred seventy-three 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 138433294343884800 cubic inches would be around 43108.8 feet tall.
Recreational maths with 138433294343884800
- 138433294343884800 backwards is 008488343492334831
- 138433294343884800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138433294343884800's digits is 75
- More coming soon!
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"Number 138433294343884800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138433294343884800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138433294343884800/
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Numbermatics. 2024. "Number 138433294343884800 - Facts about the integer". https://numbermatics.com/n/138433294343884800/
The information we have on file for 138433294343884800 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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