138285429768720
138,285,429,768,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138285429768720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
138285429768720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138285429768720:
24 × 32 × 5 × 132 × 312 × 532 × 421
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 31 × 31 × 53 × 53 × 421)See below for interesting mathematical facts about the number 138285429768720 from the Numbermatics database.
Names of 138285429768720
- Cardinal: 138285429768720 can be written as One hundred thirty-eight trillion, two hundred eighty-five billion, four hundred twenty-nine million, seven hundred sixty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3828542976872 × 1014
Factors of 138285429768720
Divisors of 138285429768720
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 36 39 40 45 48 52 53 60 62 65 72 78 80 90 93 104 106 117 120 124 130 144 155 156 159 169 180 186 195 208 212 234 240 248 260 265 279 310 312 318 338 360 372 390 403 421 424 465 468 477 496 507 520 530 558 585 620 624 636 676 689 720 744 780 795 806 842 845 848 930 936 954 961 1014 1040 1060 1116 1170 1209 1240 1263 1272 1352 1378 1395 1488 1521 1560 1590 1612 1643 1684 1690 1860 1872 1908 1922 2015 2028 2067 2105 2120 2232 2340 2385 2418 2480 2526 2535 2544 2704 2756 2790 2809 2883 3042 3120 3180 3224 3286 3368 3380 3445 3627 3720 3789 3816 3844 4030 4056 4134 4210 4240 4464 4680 4770 4805 4836 4929 5052 5070 5239 5473 5512 5580 5618 5766 6045 6084 6201 6315 6360 6448 6572 6736 6760 6890 7254 7440 7578 7605 7632 7688 8060 8112 8215 8268 8420 8427 8649 8957 9360 9540 9610 9672 9858 10104 10140 10335 10478 10946 11024 11160 11236 11532 12090 12168 12402 12493 12630 12720 13051 13144 13520 13780 14045 14415 14508 14787 15156 15210 15376 15717 16120 16419 16430 16536 16840 16854 17298 17914 18135 18945 19080 19220 19344 19716 20208 20280 20670 20956 21359 21892 22313 22320 22472 23064 24180 24336 24645 24804 24986 25260 25281 26102 26195 26288 26871 27365 27560 28090 28830 29016 29574 30312 30420 31005 31434 32240 32838 32860 33072 33680 33708 34596 35828 36270 36517 37479 37890 38160 38440 39153 39432 40560 41340 41912 42135 42718 43245 43784 44626 44785 44944 46128 47151 48360 49257 49290 49608 49972 50520 50562 50933 52204 52390 53742 54730 55120 56180 57660 58032 59148 60624 60840 62010 62465 62868 64077 65255 65676 65720 66939 67416 69192 71149 71656 72540 73034 73935 74958 75780 76880 78306 78585 78864 80613 82095 82680 83824 84270 85436 86490 87079 87568 89252 89570 94302 96720 98514 98580 99216 99944 101040 101124 101866 104408 104780 106795 107484 109460 109551 111565 112360 112437 115320 117459 118296 121680 124020 124930 125736 126405 128154 130510 131352 131440 133878 134355 134832 138384 142298 143312 145080 146068 147870 149916 151560 152799 156612 157170 161226 162409 164190 165360 168540 169663 170872 172980 174158 178504 179140 182585 187395 188604 192231 195765 197028 197160 199888 200817 202248 203732 208816 209560 213447 213590 214968 218920 219102 223130 224720 224874 230640 234918 235755 236592 246285 248040 249860 251472 252810 254665 256308 261020 261237 262704 267756 268710 277667 284596 290069 290160 292136 295740 299832 303120 305598 313224 314340 320385 322452 324818 328380 328653 334695 337080 339326 341744 345960 348316 355745 357008 358280 365170 374790 377208 384462 391530 394056 394320 401634 403065 404496 404581 407464 419120 426894 427180 429936 435395 437840 438204 446260 449748 458397 469836 471510 474721 487227 492570 496080 499720 505620 508989 509330 512616 522040 522474 535512 537420 547755 555334 562185 569192 580138 584272 587295 591480 599664 611196 626448 628680 640341 640770 644904 649636 656760 657306 662129 669390 674160 678652 691703 691920 696632 711490 716560 730340 749580 754416 763995 768924 783060 783711 788112 803268 806130 809162 812045 814928 833001 848315 853788 854360 870207 870790 876408 892520 899496 916794 939672 943020 949442 961155 974454 985140 999440 1004085 1011240 1017978 1018660 1025232 1044080 1044948 1067235 1071024 1074840 1095510 1110668 1124370 1132027 1138384 1160276 1174590 1182589 1182960 1213743 1222392 1257360 1280682 1281540 1289808 1299272 1306185 1313520 1314612 1324258 1338780 1357304 1383406 1388335 1393264 1422980 1424163 1450345 1460680 1461681 1499160 1526967 1527990 1537848 1566120 1567422 1606536 1612260 1618324 1624090 1643265 1666002 1696630 1707576 1708720 1740414 1741580 1752816 1785040 1798992 1833588 1879344 1886040 1898884 1922310 1948908 1970280 1986387 2008170 2022480 2022905 2035956 2037320 2075109 2089896 2134470 2149680 2191020 2205619 2221336 2248740 2264054 2291985 2320552 2349180 2365178 2373605 2427486 2436135 2444784 2499003 2544945 2561364 2563080 2598544 2610621 2612370 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75417940 76868285 77469093 78893295 79402284 79455480 80929251 80983470 81505944 83004360 84152848 85146408 85449780 85771172 86076770 88224760 88298106 89921390 90501528 90562160 92241942 94607120 94671954 95346576 97099440 97180164 99252855 99605232 99960120 101882430 103292124 104424840 105191060 105278511 105869712 106433010 107213965 107905668 107977960 109980777 113126910 113933040 116897807 116934480 117730808 119183220 121475205 122157360 122989256 124506540 126229272 128656758 129115155 129573552 132337140 132447159 134882085 135752292 135843240 136748378 137722832 138362913 140371348 141910680 143874224 145649160 146641036 147163510 150835880 153736570 154938186 157786590 158804568 158910960 161858502 161966940 163011888 166008720 169690365 170292816 170899560 171542344 172153540 175464185 176449520 176596212 179842780 181003056 183301295 184483884 189343908 192985137 194360328 198505710 199857541 199920240 203764860 205122567 206584248 208849680 210382120 210557022 212866020 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647867760 659884662 662235795 678761460 683741890 688614160 691814565 701386842 701856740 706384848 719371120 733205180 737935536 757375632 771940548 774690930 794022840 799430164 809292510 815059440 820490268 836268927 842228088 851464080 857711720 879846216 882981060 905015280 912413762 922419420 935182456 946719540 953166734 964925685 971801640 999287705 1025612835 1029254064 1032921240 1052080263 1052785110 1059577272 1079056680 1093987024 1099807770 1106903304 1115025236 1136468029 1168978070 1177308080 1199145246 1229892560 1230735402 1239505488 1262292720 1263342132 1286567580 1294868016 1319769324 1324471590 1357522920 1367483780 1368620643 1383629130 1393781545 1402773684 1403713480 1429750101 1466410360 1543881096 1549381860 1579177665 1588045680 1598860328 1618585020 1640980536 1649711655 1672537854 1684456176 1715423440 1753467105 1759692432 1765962120 1798717869 1824827524 1844838840 1870364912 1893439080 1906333468 1929851370 1943603280 1998575410 2051225670 2065842480 2104160526 2105570220 2119154544 2158113360 2199615540 2213806608 2230050472 2272936058 2281034405 2337956140 2382916835 2398290492 2461470804 2508806781 2526684264 2573135160 2639538648 2648943180 2715045840 2734967560 2737241286 2767258260 2787563090 2805547368 2807426960 2859500202 2932820720 2997863115 3076838505 3087762192 3098763720 3158355330 3197720656 3237170040 3281961072 3299423310 3345075708 3409404087 3506934210 3531924240 3597435738 3623832017 3649655048 3689677680 3786878160 3812666936 3859702740 3997150820 4102451340 4105861929 4181344635 4208321052 4211140440 4289250303 4399231080 4460100944 4545872116 4562068810 4675912280 4765833670 4796580984 4922941608 5017613562 5053368528 5146270320 5260401315 5279077296 5297886360 5469935120 5474482572 5534516520 5575126180 5611094736 5682340145 5719000404 5995726230 6153677010 6195583771 6197527440 6316710660 6474340080 6598846620 6690151416 6818808174 6843103215 7013868420 7148750505 7194871476 7247664034 7299310096 7625333872 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36238320170 36496550480 37173502626 38126669360 40140908496 40912849044 41058619290 42083210520 42892503030 43485984204 44322253131 45458721160 47965809840 49229416080 49564670168 50176135620 51141061305 54357480255 54550465392 54744825720 55760253939 57190004040 57981312272 59096337508 61955837710 65228976306 65693790864 66901514160 68188081740 68628004848 71948714760 72476640340 73870421885 74347005252 81825698088 82117238580 84166421040 85785006060 86971968408 88644506262 90917442320 92933756565 99129340336 100352271240 102282122610 108714960510 109489651440 111520507878 114380008080 118192675016 123911675420 130457952612 132966759393 136376163480 143897429520 144953280680 147740843770 148694010504 163072440765 163651396176 164234477160 171570012120 173943936816 177289012524 185867513130 192063096901 200704542480 204564245220 217429921020 221611265655 223041015756 236385350032 247823350840 260915905224 265933518786 272752326960 278801269695 289906561360 295481687540 297388021008 326144881530 328468954320 343140024240 354578025048 371735026260 384126193802 409128490440 434859842040 443222531310 446082031512 495646701680 521831810448 531867037572 557602539390 576189290703 590963375080 652289763060 664833796965 709156050096 743470052520 768252387604 818256980880 869719684080 886445062620 892164063024 960315484505 1063734075144 1115205078780 1152378581406 1181926750160 1304579526120 1329667593930 1486940105040 1536504775208 1728567872109 1772890125240 1920630969010 2127468150288 2230410157560 2304757162812 2609159052240 2659335187860 2880946453515 3073009550416 3457135744218 3545780250480 3841261938020 4460820315120 4609514325624 5318670375720 5761892907030 6914271488436 7682523876040 8642839360545 9219028651248 10637340751440 11523785814060 13828542976872 15365047752080 17285678721090 23047571628120 27657085953744 34571357442180 46095143256240 69142714884360 138285429768720
- Sum of all divisors σ(n): 530872750492812
- Sum of proper divisors (its aliquot sum) s(n): 392587320724092
- 138285429768720 is an abundant number, because the sum of its proper divisors (392587320724092) is greater than itself. Its abundance is 254301890955372
Bases of 138285429768720
- Binary: 111110111000101000101011110101101000010000100002
- Hexadecimal: 0x7DC515EB4210
- Base-36: 1D0NG6GKK0
Squares and roots of 138285429768720
- 138285429768720 squared (1382854297687202) is 19122860086319591552690438400
- 138285429768720 cubed (1382854297687203) is 2644412925443806754524169796726267406848000
-
The
square root of 138285429768720 is 11759482.5468096173 -
The
cube root of 138285429768720 is 51712.0960300969
Scales and comparisons
How big is 138285429768720?- 138,285,429,768,720 seconds is equal to 4,397,048 years, 47 weeks, 6 days, 12 hours, 12 minutes.
-
To count from 1 to 138,285,429,768,720 would take you about ten million, nine hundred ninety-two thousand, 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 138285429768720 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138285429768720
- 138285429768720 backwards is 027867924582831
- 138285429768720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138285429768720's digits is 72
- More coming soon!
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"Number 138285429768720 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138285429768720 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138285429768720/
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The information we have on file for 138285429768720 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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