138290493824000
138,290,493,824,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138290493824000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
138290493824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138290493824000:
210 × 53 × 72 × 83 × 211 × 1259
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 83 × 211 × 1259)See below for interesting mathematical facts about the number 138290493824000 from the Numbermatics database.
Names of 138290493824000
- Cardinal: 138290493824000 can be written as One hundred thirty-eight trillion, two hundred ninety billion, four hundred ninety-three million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38290493824 × 1014
Factors of 138290493824000
Divisors of 138290493824000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 83 98 100 112 125 128 140 160 166 175 196 200 211 224 245 250 256 280 320 332 350 392 400 415 422 448 490 500 512 560 581 640 664 700 784 800 830 844 875 896 980 1000 1024 1055 1120 1162 1225 1259 1280 1328 1400 1477 1568 1600 1660 1688 1750 1792 1960 2000 2075 2110 2240 2324 2450 2518 2560 2656 2800 2905 2954 3136 3200 3320 3376 3500 3584 3920 4000 4067 4150 4220 4480 4648 4900 5036 5120 5275 5312 5600 5810 5908 6125 6272 6295 6400 6640 6752 7000 7168 7385 7840 8000 8134 8300 8440 8813 8960 9296 9800 10072 10339 10375 10550 10624 11200 11620 11816 12250 12544 12590 12800 13280 13504 14000 14525 14770 15680 16000 16268 16600 16880 17513 17626 17920 18592 19600 20144 20335 20678 20750 21100 21248 22400 23240 23632 24500 25088 25180 25600 26375 26560 27008 28000 29050 29540 31360 31475 32000 32536 33200 33760 35026 35252 35840 36925 37184 39200 40288 40670 41356 41500 42200 42496 44065 44800 46480 47264 49000 50176 50360 51695 52750 53120 54016 56000 58100 59080 61691 62720 62950 64000 65072 66400 67520 70052 70504 72625 73850 74368 78400 80576 81340 82712 83000 84400 84992 87565 88130 89600 92960 94528 98000 100720 101675 103390 104497 105500 106240 108032 112000 116200 118160 122591 123382 125440 125900 128000 130144 132800 135040 140104 141008 145250 147700 148736 156800 157375 161152 162680 165424 166000 168800 175130 176260 179200 184625 185920 189056 196000 201440 203350 206780 208994 211000 212480 216064 220325 224000 232400 236320 245182 246764 250880 251800 258475 260288 265600 265649 270080 280208 282016 290500 295400 297472 308455 313600 314750 322304 325360 330848 332000 337600 350260 352520 369250 371840 378112 392000 402880 406700 413560 417988 422000 424960 437825 440650 448000 464800 472640 490364 493528 503600 508375 516950 520576 522485 531200 531298 540160 560416 564032 581000 590800 594944 612955 616910 627200 629500 644608 650720 661696 664000 675200 700520 705040 731479 738500 743680 756224 784000 805760 813400 827120 835976 844000 858137 875650 881300 896000 929600 945280 980728 987056 1007200 1016750 1033900 1041152 1044970 1062400 1062596 1080320 1101625 1120832 1128064 1162000 1181600 1225910 1233820 1254400 1259000 1289216 1292375 1301440 1323392 1328000 1328245 1350400 1401040 1410080 1462958 1477000 1487360 1512448 1542275 1568000 1611520 1626800 1654240 1671952 1688000 1716274 1751300 1762600 1859200 1859543 1890560 1961456 1974112 2014400 2033500 2067800 2082304 2089940 2124800 2125192 2189125 2203250 2241664 2256128 2324000 2363200 2451820 2467640 2518000 2584750 2602880 2612425 2646784 2656000 2656490 2700800 2802080 2820160 2925916 2954000 2974720 3064775 3084550 3136000 3223040 3253600 3308480 3343904 3376000 3432548 3502600 3525200 3657395 3718400 3719086 3781120 3922912 3948224 4028800 4067000 4135600 4164608 4179880 4250384 4290685 4378250 4406500 4483328 4512256 4648000 4726400 4903640 4935280 5036000 5120353 5169500 5205760 5224850 5293568 5312000 5312980 5401600 5604160 5640320 5851832 5908000 6129550 6169100 6272000 6446080 6507200 6616960 6641225 6687808 6752000 6865096 7005200 7050400 7314790 7436800 7438172 7562240 7711375 7845824 7896448 8057600 8134000 8271200 8359760 8500768 8581370 8756500 8813000 8966656 9024512 9296000 9297715 9452800 9807280 9870560 10072000 10240706 10339000 10411520 10449700 10587136 10624000 10625960 11208320 11280640 11703664 11816000 12259100 12338200 13014400 13016801 13062125 13233920 13282450 13375616 13504000 13730192 14010400 14100800 14629580 14873600 14876344 15323875 15422750 15691648 15792896 16115200 16268000 16542400 16719520 17001536 17162740 17513000 17626000 17933312 18286975 18592000 18595430 18905600 19614560 19741120 20144000 20481412 20678000 20823040 20899400 21251920 21453425 22048867 22416640 22561280 23407328 23632000 24518200 24676400 25601765 26028800 26033602 26124250 26467840 26564900 26751232 27008000 27460384 28020800 28201600 29259160 29752688 30647750 30845500 31383296 31585792 32230400 32536000 33084800 33206125 33439040 34003072 34325480 35026000 35252000 36573950 37184000 37190860 37811200 39229120 39482240 40288000 40962824 41356000 41798800 42503840 42906850 44097734 44833280 45122560 46488575 46814656 47264000 49036400 49352800 51203530 52057600 52067204 52248500 52935680 53129800 53502464 54920768 56041600 56403200 58518320 59505376 61295500 61691000 62766592 63171584 65072000 65084005 66169600 66412250 66878080 68006144 68650960 70052000 70504000 73147900 74368000 74381720 78458240 78964480 80576000 81925648 82712000 83597600 85007680 85813700 88195468 89666560 91434875 92977150 93629312 94528000 98072800 98705600 102407060 104115200 104134408 104497000 106259600 107004928 107267125 109841536 110244335 112083200 112806400 117036640 119010752 122591000 123382000 125533184 128008825 130144000 130168010 132339200 132824500 133756160 136012288 137301920 140104000 141008000 146295800 148763440 154342069 156916480 157928960 161152000 163851296 165424000 167195200 170015360 171627400 176390936 182869750 185954300 187258624 189056000 196145600 197411200 204814120 208268816 208994000 212519200 214534250 219683072 220488670 224166400 225612800 232442875 234073280 238021504 245182000 246764000 256017650 260288000 260336020 264678400 265649000 267512320 272024576 274603840 280208000 282016000 292591600 297526880 308684138 313832960 315857920 325420025 327702592 330848000 334390400 340030720 343254800 352781872 365739500 371908600 374517248 392291200 394822400 409628240 416537632 417988000 425038400 429068500 439366144 440977340 448332800 464885750 468146560 476043008 490364000 493528000 512035300 520576000 520672040 531298000 535024640 549207680 551221675 560416000 564032000 585183200 595053760 617368276 627665920 640044125 650840050 655405184 661696000 668780800 680061440 686509600 705563744 731479000 743817200 749034496 771710345 784582400 789644800 819256480 833075264 835976000 850076800 858137000 878732288 881954680 929771500 936293120 952086016 980728000 987056000 1024070600 1041344080 1062596000 1080394483 1098415360 1102443350 1120832000 1128064000 1170366400 1190107520 1234736552 1280088250 1301680100 1310810368 1323392000 1337561600 1360122880 1373019200 1411127488 1462958000 1487634400 1543420690 1569164800 1579289600 1627100125 1638512960 1666150528 1671952000 1700153600 1716274000 1763909360 1859543000 1872586240 1904172032 1961456000 1974112000 2048141200 2082688160 2125192000 2160788966 2196830720 2204886700 2241664000 2340732800 2380215040 2469473104 2560176500 2603360200 2621620736 2675123200 2746038400 2756108375 2822254976 2925916000 2975268800 3086841380 3138329600 3254200250 3277025920 3332301056 3343904000 3400307200 3432548000 3527818720 3719086000 3745172480 3858551725 3922912000 3948224000 4096282400 4165376320 4250384000 4321577932 4393661440 4409773400 4681465600 4760430080 4938946208 5120353000 5206720400 5243241472 5401972415 5492076800 5512216750 5644509952 5851832000 5950537600 6173682760 6508400500 6554051840 6664602112 6687808000 6800614400 6865096000 7055637440 7438172000 7717103450 7845824000 7896448000 8192564800 8330752640 8500768000 8643155864 8819546800 9362931200 9520860160 9877892416 10240706000 10413440800 10803944830 10984153600 11024433500 11289019904 11703664000 11901075200 12347365520 13016801000 13108103680 13329204224 13375616000 13730192000 14111274880 14876344000 15434206900 15691648000 16385129600 16661505280 17001536000 17286311728 17639093600 18725862400 19292758625 19755784832 20481412000 20826881600 21607889660 21968307200 22048867000 22578039808 23407328000 23802150400 24694731040 26033602000 26216207360 27009862075 27460384000 28222549760 29752688000 30868413800 32770259200 33323010560 34003072000 34572623456 35278187200 38585517250 39511569664 40962824000 41653763200 43215779320 44097734000 46814656000 47604300800 49389462080 52067204000 54019724150 54920768000 56445099520 59505376000 61736827600 65540518400 66646021120 69145246912 70556374400 77171034500 79023139328 81925648000 83307526400 86431558640 88195468000 93629312000 98778924160 104134408000 108039448300 109841536000 112890199040 119010752000 123473655200 131081036800 135049310375 138290493824 141112748800 154342069000 158046278656 163851296000 166615052800 172863117280 176390936000 197557848320 208268816000 216078896600 238021504000 246947310400 270098620750 276580987648 282225497600 308684138000 327702592000 333230105600 345726234560 352781872000 395115696640 416537632000 432157793200 493894620800 540197241500 553161975296 564450995200 617368276000 655405184000 691452469120 705563744000 790231393280 833075264000 864315586400 987789241600 1080394483000 1106323950592 1234736552000 1382904938240 1411127488000 1666150528000 1728631172800 1975578483200 2160788966000 2469473104000 2765809876480 2822254976000 3457262345600 3951156966400 4321577932000 4938946208000 5531619752960 6914524691200 8643155864000 9877892416000 13829049382400 17286311728000 19755784832000 27658098764800 34572623456000 69145246912000 138290493824000
- Sum of all divisors σ(n): 408416226865920
- Sum of proper divisors (its aliquot sum) s(n): 270125733041920
- 138290493824000 is an abundant number, because the sum of its proper divisors (270125733041920) is greater than itself. Its abundance is 131835239217920
Bases of 138290493824000
- Binary: 111110111000110010000111100001010011100000000002
- Hexadecimal: 0x7DC643C29C00
- Base-36: 1D0PRXGUM8
Squares and roots of 138290493824000
- 138290493824000 squared (1382904938240002) is 19124260682085782142976000000
- 138290493824000 cubed (1382904938240003) is 2644703453744549882881432012980224000000000
-
The
square root of 138290493824000 is 11759697.8627854213 -
The
cube root of 138290493824000 is 51712.7272600507
Scales and comparisons
How big is 138290493824000?- 138,290,493,824,000 seconds is equal to 4,397,209 years, 49 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,290,493,824,000 would take you about ten million, nine hundred ninety-three thousand and twenty-four 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 138290493824000 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138290493824000
- 138290493824000 backwards is 000428394092831
- The number of decimal digits it has is: 15
- The sum of 138290493824000's digits is 53
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138290493824000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138290493824000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138290493824000/
Chicago style:
Numbermatics. 2024. "Number 138290493824000 - Facts about the integer". https://numbermatics.com/n/138290493824000/
The information we have on file for 138290493824000 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!
Keywords: Divisors of 138290493824000, math, Factors of 138290493824000, curriculum, school, college, exams, university, Prime factorization of 138290493824000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred ninety billion, four hundred ninety-three million, eight hundred twenty-four thousand.