138386074772400
138,386,074,772,400 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138386074772400 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2880 divisors.
138386074772400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138386074772400:
24 × 3 × 52 × 72 × 13 × 19 × 41 × 307 × 757
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 19 × 41 × 307 × 757)See below for interesting mathematical facts about the number 138386074772400 from the Numbermatics database.
Names of 138386074772400
- Cardinal: 138386074772400 can be written as One hundred thirty-eight trillion, three hundred eighty-six billion, seventy-four million, seven hundred seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.383860747724 × 1014
Factors of 138386074772400
Divisors of 138386074772400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 35 38 39 40 41 42 48 49 50 52 56 57 60 65 70 75 76 78 80 82 84 91 95 98 100 104 105 112 114 120 123 130 133 140 147 150 152 156 164 168 175 182 190 195 196 200 205 208 210 228 240 245 246 247 260 266 273 280 285 287 294 300 304 307 312 325 328 336 350 364 380 390 392 399 400 410 420 455 456 475 490 492 494 520 525 532 533 546 560 570 574 588 600 614 615 624 637 650 656 665 700 728 735 741 757 760 779 780 784 798 820 840 861 910 912 921 931 950 975 980 984 988 1025 1040 1050 1064 1066 1092 1140 1148 1176 1200 1225 1228 1230 1235 1274 1300 1330 1365 1400 1425 1435 1456 1470 1482 1514 1520 1535 1558 1560 1596 1599 1640 1680 1722 1729 1820 1842 1862 1900 1911 1950 1960 1968 1976 1995 2009 2050 2100 2128 2132 2149 2184 2271 2275 2280 2296 2337 2352 2450 2456 2460 2470 2548 2600 2660 2665 2730 2793 2800 2850 2870 2940 2964 3028 3070 3075 3116 3120 3185 3192 3198 3280 3325 3444 3458 3640 3675 3684 3705 3724 3731 3785 3800 3822 3895 3900 3920 3952 3990 3991 4018 4100 4200 4264 4298 4305 4368 4542 4550 4560 4592 4605 4655 4674 4900 4912 4920 4940 5096 5187 5200 5299 5320 5330 5453 5460 5586 5700 5740 5833 5880 5928 6027 6056 6140 6150 6175 6232 6370 6384 6396 6447 6650 6825 6888 6916 7175 7280 7350 7368 7410 7448 7462 7570 7600 7644 7675 7790 7800 7980 7982 7995 8036 8200 8400 8528 8596 8610 8645 9084 9100 9210 9310 9348 9555 9800 9840 9841 9880 9975 10045 10127 10192 10374 10598 10640 10660 10745 10906 10920 11172 11193 11355 11400 11480 11666 11685 11760 11856 11973 12054 12103 12112 12280 12300 12350 12464 12587 12740 12792 12894 13300 13325 13650 13776 13832 13965 14350 14383 14700 14736 14820 14896 14924 15043 15140 15288 15350 15580 15600 15897 15925 15960 15964 15990 16072 16359 16400 17192 17220 17290 17499 18168 18200 18420 18525 18620 18655 18696 18925 19110 19475 19600 19682 19760 19950 19955 20090 20254 20748 21196 21320 21490 21525 21812 21840 22344 22386 22710 22800 22960 23025 23275 23332 23370 23946 24108 24206 24560 24600 24700 25174 25480 25584 25788 25935 26117 26495 26600 26650 27265 27300 27664 27930 27937 28700 28766 29165 29400 29523 29640 29848 30086 30135 30280 30381 30576 30700 31037 31160 31794 31850 31920 31928 31980 32144 32235 32718 34384 34440 34580 34998 36309 36336 36400 36840 37050 37093 37240 37310 37392 37761 37850 38171 38220 38950 39364 39900 39910 39975 40180 40508 40831 41496 42392 42640 42980 43050 43149 43225 43624 44688 44772 45129 45420 46050 46550 46664 46740 47775 47892 48216 48412 49200 49205 49400 50225 50348 50635 50960 51576 51870 52234 52990 53200 53300 53725 54530 54600 55860 55874 55965 56775 57400 57532 58330 58425 58800 59046 59280 59696 59865 60172 60270 60515 60560 60762 61400 62074 62320 62935 63588 63700 63856 63960 64470 65436 68880 68887 69160 69825 69996 70889 71915 72618 73680 74100 74186 74480 74620 75215 75522 75700 75829 76342 76440 77900 78351 78728 79485 79800 79820 79950 80360 81016 81662 81795 82992 83811 84784 85960 86100 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8882289780 9015379464 9051941050 9140427660 9199366800 9272720100 9290150025 9337791820 9391020275 9414018692 9621502800 9643628904 9909493360 10004776950 10045446775 10138173976 10385446512 10404968028 10732594600 10818173450 10862329260 10994365200 11102862225 11205350184 11250900388 11269224330 11425534575 11434030800 11480510600 11558178800 11672239775 11767523365 11843053040 11862341400 12054536130 12139129366 12187236880 12363626800 12386866700 12672717470 12688985400 12879113520 12981808140 13006210035 13057753800 13339702600 13577911575 13665061200 13776612720 13873290704 14006687730 14062196400 14063625485 14121028038 14483105680 14803816300 14864240040 15025632440 15207260964 15234046100 16007643120 16072714840 16098891900 16227260175 16474532711 16876350582 17220765900 17309077520 17337268200 17341613380 17741804458 17764579560 18030758928 18103882100 18208694049 18280855320 18545440200 18580300050 18675583640 18782040550 18828037384 19009076205 19287257808 20009553900 20090893550 20276347952 20809936056 21465189200 21636346900 21677016725 21724658520 22205724450 22410700368 22501800776 22538448660 22851069150 22961021200 23344479550 23535046730 23724682800 24109072260 24278258732 24773733400 25345434940 25377970800 25963616280 26012420070 26115507600 26612706687 26679405200 27155823150 28013375460 28127250970 28173060825 28242056076 29607632600 29728480080 30051264880 30136340325 30347823415 30414521928 30468092200 31681793675 32145429680 32197783800 32454520350 32949065422 33752701164 34441531800 34674536400 34683226760 35016719325 35302570095 35483608916 35529159120 36207764200 36417388098 36561710640 37090880400 37160600100 37351167280 37564081100 37656074768 38018152410 40019107800 40181787100 41619872112 42190876455 43272693800 43354033450 43449317040 44354511145 44411448900 45003601552 45076897320 45702138300 46688959100 47070093460 48218144520 48556517464 49423598133 49547466800 50690869880 51927232560 52024840140 53225413374 54311646300 56026750920 56254501940 56346121650 56484112152 58837616825 59215265200 60272680650 60695646830 60829043856 60936184400 63363587350 64395567600 64909040700 65031050175 65898130844 67505402328 68883063600 69366453520 70033438650 70318127425 70605140190 70967217832 72415528400 72834776196 74321200200 75128162200 76036304820 80038215600 80363574200 82372663555 84381752910 86545387600 86708066900 88709022290 88822897800 90153794640 91043470245 91404276600 93377918200 94140186920 95045381025 96436289040 97113034928 98847196266 101381739760 104049680280 106450826748 108623292600 112053501840 112509003880 112692243300 112968224304 115321728977 117675233650 120545361300 121391293660 126727174700 129818081400 130062100350 131796261688 133063533435 135010804656 140066877300 140636254850 141210280380 141934435664 145669552392 148642400400 150256324400 151739117075 152072609640 160727148400 164745327110 168763505820 173416133800 176512850475 177418044580 177645795600 182086940490 182808553200 186755836400 188280373840 190090762050 197694392532 208099360560 210954382275 212901653496 217246585200 221772555725 225018007760 225384486600 230643457954 235350467300 241090722600 242782587320 247117990665 253454349400 259636162800 260124200700 263592523376 266127066870 280133754600 281272509700 282420560760 291339104784 303478234150 304145219280 329490654220 337527011640 345965186931 346832267600 353025700950 354836089160 364173880980 380181524100 395388785064 411863317775 421908764550 425803306992 443545111450 450768973200 455217351225 461286915908 470700934600 482181445200 485565174640 494235981330 506908698800 520248401400 532254133740 560267509200 562545019400 564841121520 576608644885 606956468300 658981308440 665317667175 675054023280 691930373862 706051401900 709672178320 728347761960 760363048200 790777570128 823726635550 843817529100 887090222900 910434702450 922573831816 941401869200 988471962660 1040496802800 1064508267480 1125090038800 1153217289770 1213912936600 1235589953325 1317962616880 1330635334350 1383860747724 1412102803800 1456695523920 1520726096400 1647453271100 1687635058200 1729825934655 1774180445800 1820869404900 1845147663632 1976943925320 2129016534960 2306434579540 2427825873200 2471179906650 2661270668700 2767721495448 2824205607600 2883043224425 3294906542200 3375270116400 3459651869310 3548360891600 3641738809800 3953887850640 4612869159080 4942359813300 5322541337400 5535442990896 5766086448850 6589813084400 6919303738620 7283477619600 8649129673275 9225738318160 9884719626600 10645082674800 11532172897700 13838607477240 17298259346550 19769439253200 23064345795400 27677214954480 34596518693100 46128691590800 69193037386200 138386074772400
- Sum of all divisors σ(n): 601569042117120
- Sum of proper divisors (its aliquot sum) s(n): 463182967344720
- 138386074772400 is an abundant number, because the sum of its proper divisors (463182967344720) is greater than itself. Its abundance is 324796892572320
Bases of 138386074772400
- Binary: 111110111011100100001001101010000100011101100002
- Hexadecimal: 0x7DDC84D423B0
- Base-36: 1D1XONWAEO
Squares and roots of 138386074772400
- 138386074772400 squared (1383860747724002) is 19150705690912283711801760000
- 138386074772400 cubed (1383860747724003) is 2650190989686813496911040971685919424000000
-
The
square root of 138386074772400 is 11763761.0810658681 -
The
cube root of 138386074772400 is 51724.6384504519
Scales and comparisons
How big is 138386074772400?- 138,386,074,772,400 seconds is equal to 4,400,249 years, 6 weeks, 2 days, 5 hours, 40 minutes.
-
To count from 1 to 138,386,074,772,400 would take you about eleven million, six hundred twenty-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 138386074772400 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138386074772400
- 138386074772400 backwards is 004277470683831
- 138386074772400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138386074772400's digits is 60
- More coming soon!
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Cite this page
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"Number 138386074772400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138386074772400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138386074772400/
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The information we have on file for 138386074772400 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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