138032993139596800
138,032,993,139,596,800 is an even composite number composed of six prime numbers multiplied together.
138032993139596800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138032993139596800:
29 × 52 × 7 × 43 × 2111 × 16971421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 43 × 2111 × 16971421)See below for interesting mathematical facts about the number 138032993139596800 from the Numbermatics database.
Names of 138032993139596800
- Cardinal: 138032993139596800 can be written as One hundred thirty-eight quadrillion, thirty-two trillion, nine hundred ninety-three billion, one hundred thirty-nine million, five hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380329931395968 × 1017
Factors of 138032993139596800
Divisors of 138032993139596800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 64 70 80 86 100 112 128 140 160 172 175 200 215 224 256 280 301 320 344 350 400 430 448 512 560 602 640 688 700 800 860 896 1075 1120 1204 1280 1376 1400 1505 1600 1720 1792 2111 2150 2240 2408 2560 2752 2800 3010 3200 3440 3584 4222 4300 4480 4816 5504 5600 6020 6400 6880 7525 8444 8600 8960 9632 10555 11008 11200 12040 12800 13760 14777 15050 16888 17200 17920 19264 21110 22016 22400 24080 27520 29554 30100 33776 34400 38528 42220 44800 48160 52775 55040 59108 60200 67552 68800 73885 77056 84440 89600 90773 96320 105550 110080 118216 120400 135104 137600 147770 154112 168880 181546 192640 211100 236432 240800 270208 275200 295540 337760 363092 369425 385280 422200 453865 472864 481600 540416 550400 591080 635411 675520 726184 738850 770560 844400 907730 945728 963200 1080832 1182160 1270822 1351040 1452368 1477700 1688800 1815460 1891456 1926400 2269325 2364320 2541644 2702080 2904736 2955400 3177055 3377600 3630920 3782912 3852800 4538650 4728640 5083288 5404160 5809472 5910800 6354110 6755200 7261840 7565824 9077300 9457280 10166576 11618944 11821600 12708220 13510400 14523680 15885275 16971421 18154600 18914560 20333152 23237888 23643200 25416440 27020800 29047360 31770550 33942842 36309200 37829120 40666304 46475776 47286400 50832880 58094720 63541100 67885684 72618400 81332608 84857105 94572800 101665760 116189440 118799947 127082200 135771368 145236800 162665216 169714210 189145600 203331520 232378880 237599894 254164400 271542736 290473600 325330432 339428420 406663040 424285525 475199788 508328800 543085472 580947200 593999735 678856840 729771103 813326080 848571050 950399576 1016657600 1086170944 1161894400 1187999470 1357713680 1459542206 1626652160 1697142100 1900799152 2033315200 2172341888 2375998940 2715427360 2919084412 2969998675 3394284200 3648855515 3801598304 4066630400 4344683776 4751997880 5108397721 5430854720 5838168824 5939997350 6788568400 7297711030 7603196608 8133260800 8689367552 9503995760 10216795442 10861709440 11676337648 11879994700 13577136800 14595422060 15206393216 18244277575 19007991520 20433590884 21723418880 23352675296 23759989400 25541988605 27154273600 29190844120 30412786432 35826669731 36488555150 38015983040 40867181768 43446837760 46705350592 47519978800 51083977210 54308547200 58381688240 60825572864 71653339462 72977110300 76031966080 81734363536 93410701184 95039957600 102167954420 108617094400 116763376480 127709943025 143306678924 145954220600 152063932160 163468727072 179133348655 186821402368 190079915200 204335908840 217234188800 233526752960 250786688117 255419886050 286613357848 291908441200 304127864320 326937454144 358266697310 373642804736 380159830400 408671817680 467053505920 501573376234 510839772100 573226715696 583816882400 653874908288 716533394620 760319660800 817343635360 895666743275 934107011840 1003146752468 1021679544200 1146453431392 1167633764800 1253933440585 1307749816576 1433066789240 1520639321600 1540546798433 1634687270720 1791333486550 1868214023680 2006293504936 2043359088400 2292906862784 2335267529600 2507866881170 2615499633152 2866133578480 3081093596866 3269374541440 3582666973100 4012587009872 4086718176800 4585813725568 4670535059200 5015733762340 5732267156960 6162187193732 6269667202925 6538749082880 7165333946200 7702733992165 8025174019744 8173436353600 9171627451136 9341070118400 10031467524680 10783827589031 11464534313920 12324374387464 12539334405850 13077498165760 14330667892400 15405467984330 16050348039488 16346872707200 18343254902272 20062935049360 21567655178062 22929068627840 24648748774928 25078668811700 28661335784800 30810935968660 32100696078976 32693745414400 38513669960825 40125870098720 43135310356124 45858137255680 49297497549856 50157337623400 53919137945155 57322671569600 61621871937320 64201392157952 65387490828800 77027339921650 80251740197440 86270620712248 91716274511360 98594995099712 100314675246800 107838275890310 114645343139200 123243743874640 128402784315904 154054679843300 160503480394880 172541241424496 197189990199424 200629350493600 215676551780620 229290686278400 246487487749280 269595689725775 308109359686600 321006960789760 345082482848992 394379980398848 401258700987200 431353103561240 458581372556800 492974975498560 539191379451550 616218719373200 642013921579520 690164965697984 788759960797696 802517401974400 862706207122480 985949950997120 1078382758903100 1232437438746400 1380329931395968 1605034803948800 1725412414244960 1971899901994240 2156765517806200 2464874877492800 2760659862791936 3210069607897600 3450824828489920 3943799803988480 4313531035612400 4929749754985600 5521319725583872 6901649656979840 8627062071224800 9859499509971200 13803299313959680 17254124142449600 19718999019942400 27606598627919360 34508248284899200 69016496569798400 138032993139596800
- Sum of all divisors σ(n): 400121729508593664
- Sum of proper divisors (its aliquot sum) s(n): 262088736368996864
- 138032993139596800 is an abundant number, because the sum of its proper divisors (262088736368996864) is greater than itself. Its abundance is 124055743229400064
Bases of 138032993139596800
- Binary: 1111010100110010001000110101000110101111010011110000000002
- Hexadecimal: 0x1EA6446A35E9E00
- Base-36: 11R4M1N51NGG
Squares and roots of 138032993139596800
- 138032993139596800 squared (1380329931395968002) is 19053107195075977253932066570240000
- 138032993139596800 cubed (1380329931395968003) is 2629957414745924797249746348887175838912479232000000
-
The
square root of 138032993139596800 is 371527917.0393482021 -
The
cube root of 138032993139596800 is 516806.1047985511
Scales and comparisons
How big is 138032993139596800?- 138,032,993,139,596,800 seconds is equal to 4,389,022,217 years, 39 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,032,993,139,596,800 would take you about thirteen billion, one hundred sixty-seven million, sixty-six thousand, six hundred fifty-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 138032993139596800 cubic inches would be around 43067.2 feet tall.
Recreational maths with 138032993139596800
- 138032993139596800 backwards is 008695931399230831
- The number of decimal digits it has is: 18
- The sum of 138032993139596800's digits is 79
- 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 138032993139596800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138032993139596800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138032993139596800/
Chicago style:
Numbermatics. 2024. "Number 138032993139596800 - Facts about the integer". https://numbermatics.com/n/138032993139596800/
The information we have on file for 138032993139596800 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 138032993139596800, math, Factors of 138032993139596800, curriculum, school, college, exams, university, Prime factorization of 138032993139596800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, thirty-two trillion, nine hundred ninety-three billion, one hundred thirty-nine million, five hundred ninety-six thousand, eight hundred.