138532318686720
138,532,318,686,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 138532318686720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
138532318686720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138532318686720:
29 × 32 × 5 × 79 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 149)See below for interesting mathematical facts about the number 138532318686720 from the Numbermatics database.
Names of 138532318686720
- Cardinal: 138532318686720 can be written as One hundred thirty-eight trillion, five hundred thirty-two billion, three hundred eighteen million, six hundred eighty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3853231868672 × 1014
Factors of 138532318686720
Divisors of 138532318686720
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 149 160 168 180 192 196 210 224 240 245 252 256 280 288 294 298 315 320 336 343 360 384 392 420 441 447 448 480 490 504 512 560 576 588 596 630 640 672 686 720 735 745 768 784 840 882 894 896 960 980 1008 1029 1043 1120 1152 1176 1192 1260 1280 1341 1344 1372 1440 1470 1490 1536 1568 1680 1715 1764 1788 1792 1920 1960 2016 2058 2086 2205 2235 2240 2304 2352 2384 2401 2520 2560 2682 2688 2744 2880 2940 2980 3087 3129 3136 3360 3430 3528 3576 3584 3840 3920 4032 4116 4172 4410 4470 4480 4608 4704 4768 4802 5040 5145 5215 5364 5376 5488 5760 5880 5960 6174 6258 6272 6705 6720 6860 7056 7152 7203 7301 7680 7840 8064 8232 8344 8820 8940 8960 9387 9408 9536 9604 10080 10290 10430 10728 10752 10976 11520 11760 11920 12005 12348 12516 12544 13410 13440 13720 14112 14304 14406 14602 15435 15645 15680 16128 16464 16688 16807 17640 17880 17920 18774 18816 19072 19208 20160 20580 20860 21456 21609 21903 21952 23040 23520 23840 24010 24696 25032 25088 26820 26880 27440 28224 28608 28812 29204 30870 31290 31360 32256 32928 33376 33614 35280 35760 36015 36505 37548 37632 38144 38416 40320 41160 41720 42912 43218 43806 43904 46935 47040 47680 48020 49392 50064 50421 51107 53640 53760 54880 56448 57216 57624 58408 61740 62580 62720 65709 65856 66752 67228 70560 71520 72030 73010 75096 75264 76288 76832 80640 82320 83440 84035 85824 86436 87612 87808 93870 94080 95360 96040 98784 100128 100842 102214 107280 108045 109515 109760 112896 114432 115248 116816 117649 123480 125160 125440 131418 131712 133504 134456 141120 143040 144060 146020 150192 151263 153321 153664 161280 164640 166880 168070 171648 172872 175224 175616 187740 188160 190720 192080 197568 200256 201684 204428 214560 216090 219030 219520 225792 228864 230496 233632 235298 246960 250320 252105 255535 262836 263424 267008 268912 282240 286080 288120 292040 300384 302526 306642 307328 328545 329280 333760 336140 343296 345744 350448 352947 357749 375480 376320 381440 384160 395136 400512 403368 408856 429120 432180 438060 439040 459963 460992 467264 470596 493920 500640 504210 511070 525672 526848 534016 537824 564480 572160 576240 584080 588245 600768 605052 613284 614656 657090 658560 667520 672280 686592 691488 700896 705894 715498 750960 756315 766605 768320 790272 801024 806736 817712 823543 858240 864360 876120 878080 919926 921984 934528 941192 987840 1001280 1008420 1022140 1051344 1058841 1073247 1075648 1128960 1144320 1152480 1168160 1176490 1201536 1210104 1226568 1229312 1314180 1317120 1335040 1344560 1382976 1401792 1411788 1430996 1501920 1512630 1533210 1536640 1580544 1602048 1613472 1635424 1647086 1716480 1728720 1752240 1764735 1788745 1839852 1843968 1869056 1882384 1975680 2002560 2016840 2044280 2102688 2117682 2146494 2151296 2299815 2304960 2336320 2352980 2403072 2420208 2453136 2470629 2504243 2628360 2634240 2670080 2689120 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18038062329 18974430720 19232586240 19369731360 19633265120 20194215552 20614928376 20661046784 22087423260 22136835840 22438017280 23243677632 23559918144 24050749772 25242769440 25768660470 25826308480 26564203008 26925620736 27486571168 28848879360 29054597040 29449897680 30063437215 30922392564 30991570176 31413224192 33205253760 33657025920 34358213960 35339877216 36076124658 38652990705 38739462720 39266530240 40388431104 41229856752 44174846520 44273671680 44876034560 46487355264 47119836288 48101499544 50485538880 51537320940 51652616960 54114186987 54973142336 57697758720 58109194080 58899795360 60126874430 61844785128 61983140352 62826448384 66410507520 67314051840 68716427920 70679754432 72152249316 77305981410 77478925440 78533060480 80776862208 82459713504 88349693040 90190311645 92974710528 94239672576 96202999088 100971077760 103074641880 103305233920 108228373974 109946284672 116218388160 117799590720 120253748860 123689570256 132821015040 134628103680 137432855840 141359508864 144304498632 154611962820 154957850880 157066120960 164919427008 176699386080 180380623290 185949421056 188479345152 192405998176 201942155520 206149283760 216456747948 219892569344 232436776320 235599181440 240507497720 247379140512 270570934935 274865711680 282719017728 288608997264 309223925640 309915701760 314132241920 329838854016 353398772160 360761246580 384811996352 403884311040 412298567520 432913495896 439785138688 464873552640 471198362880 481014995440 494758281024 541141869870 549731423360 565438035456 577217994528 618447851280 659677708032 706797544320 721522493160 769623992704 824597135040 865826991792 929747105280 942396725760 962029990880 989516562048 1082283739740 1099462846720 1154435989056 1236895702560 1319355416064 1413595088640 1443044986320 1539247985408 1649194270080 1731653983584 1924059981760 1979033124096 2164567479480 2198925693440 2308871978112 2473791405120 2827190177280 2886089972640 3078495970816 3298388540160 3463307967168 3848119963520 3958066248192 4329134958960 4617743956224 4947582810240 5772179945280 6596777080320 6926615934336 7696239927040 8658269917920 9235487912448 9895165620480 11544359890560 13853231868672 15392479854080 17316539835840 19790331240960 23088719781120 27706463737344 34633079671680 46177439562240 69266159343360 138532318686720
- Sum of all divisors σ(n): 563495748472800
- Sum of proper divisors (its aliquot sum) s(n): 424963429786080
- 138532318686720 is an abundant number, because the sum of its proper divisors (424963429786080) is greater than itself. Its abundance is 286431111099360
Bases of 138532318686720
- Binary: 111110111111110100100011010010100101110000000002
- Hexadecimal: 0x7DFE91A52E00
- Base-36: 1D3SV9QWW0
Squares and roots of 138532318686720
- 138532318686720 squared (1385323186867202) is 19191203320718951305504358400
- 138532318686720 cubed (1385323186867203) is 2658601894407476895284763168770724200448000
-
The
square root of 138532318686720 is 11769975.3052723097 -
The
cube root of 138532318686720 is 51742.8525916367
Scales and comparisons
How big is 138532318686720?- 138,532,318,686,720 seconds is equal to 4,404,899 years, 11 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 138,532,318,686,720 would take you about eleven million, twelve thousand, two hundred forty-eight 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 138532318686720 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138532318686720
- 138532318686720 backwards is 027686813235831
- 138532318686720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138532318686720's digits is 63
- More coming soon!
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The information we have on file for 138532318686720 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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