138769733894400
138,769,733,894,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138769733894400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2916 divisors.
138769733894400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138769733894400:
28 × 32 × 52 × 72 × 172 × 61 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 61 × 2789)See below for interesting mathematical facts about the number 138769733894400 from the Numbermatics database.
Names of 138769733894400
- Cardinal: 138769733894400 can be written as One hundred thirty-eight trillion, seven hundred sixty-nine billion, seven hundred thirty-three million, eight hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.387697338944 × 1014
Factors of 138769733894400
Divisors of 138769733894400
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 49 50 51 56 60 61 63 64 68 70 72 75 80 84 85 90 96 98 100 102 105 112 119 120 122 126 128 136 140 144 147 150 153 160 168 170 175 180 183 192 196 200 204 210 224 225 238 240 244 245 252 255 256 272 280 288 289 294 300 305 306 315 320 336 340 350 357 360 366 384 392 400 408 420 425 427 441 448 450 476 480 488 490 504 510 525 544 549 560 576 578 588 595 600 610 612 630 640 672 680 700 714 720 732 735 765 768 784 800 816 833 840 850 854 867 882 896 900 915 952 960 976 980 1008 1020 1037 1050 1071 1088 1098 1120 1152 1156 1176 1190 1200 1220 1224 1225 1260 1275 1280 1281 1344 1360 1400 1428 1440 1445 1464 1470 1525 1530 1568 1575 1600 1632 1666 1680 1700 1708 1734 1764 1785 1792 1800 1830 1904 1920 1952 1960 2016 2023 2040 2074 2100 2135 2142 2176 2196 2205 2240 2304 2312 2352 2380 2400 2440 2448 2450 2499 2520 2550 2562 2601 2688 2720 2745 2789 2800 2856 2880 2890 2928 2940 2975 2989 3050 3060 3111 3136 3150 3200 3264 3332 3360 3400 3416 3468 3528 3570 3600 3660 3675 3808 3825 3840 3843 3904 3920 4032 4046 4080 4148 4165 4200 4270 4284 4335 4352 4392 4410 4480 4575 4624 4704 4760 4800 4880 4896 4900 4998 5040 5100 5124 5185 5202 5355 5376 5440 5490 5578 5600 5712 5760 5780 5856 5880 5950 5978 6069 6100 6120 6222 6272 6300 6400 6405 6528 6664 6720 6800 6832 6936 7056 7140 7200 7225 7259 7320 7350 7497 7616 7650 7686 7808 7840 8064 8092 8160 8296 8330 8367 8400 8540 8568 8670 8784 8820 8925 8960 8967 9150 9248 9333 9408 9520 9600 9760 9792 9800 9996 10080 10115 10200 10248 10370 10404 10675 10710 10880 10980 11025 11156 11200 11424 11520 11560 11712 11760 11900 11956 12138 12200 12240 12444 12495 12544 12600 12810 13005 13056 13328 13440 13600 13664 13725 13872 13945 14112 14161 14280 14400 14450 14518 14640 14700 14945 14994 15232 15300 15372 15555 15616 15680 16128 16184 16320 16592 16660 16734 16800 17080 17136 17340 17568 17629 17640 17850 17934 18207 18300 18496 18666 18816 19040 19200 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9440117952 9478806960 9558460800 9603441792 9636787076 9717768480 9799430400 9833456200 9951217920 10003585200 10110727424 10155864600 10203656904 10325129010 10411894800 10628809275 10670490880 10832922240 11013470944 11062638225 11106021120 11151537600 11337396560 11374568352 11432668800 11606702400 11661322176 11800147440 11848508700 12004302240 12045983845 12147210600 12390154812 12439022400 12586823936 12638409280 12754571130 12957024640 12999506688 13338113600 13381845120 13541152800 13604875872 13719202560 13766838680 13882526400 14160176928 14171745700 14218210440 14455180614 14576652720 14750184300 14868716800 15005377800 15166091136 15475603200 15487693515 15548429568 15733529920 15798011600 16005736320 16196280800 16249383360 16520206416 16585363200 16659031680 16727306400 17006094840 17149003200 17208548350 17700221160 17772763050 18054870400 18139834496 18220815900 18510035200 18880235904 18957613920 19116921600 19206883584 19273574152 19435536960 19666912400 20007170400 20311729200 20407313808 20650258020 20823789600 21257618550 21665844480 21682770921 22026941888 22125276450 22303075200 22674793120 22749136704 22865337600 23213404800 23322644352 23600294880 23697017400 24008604480 24091967690 24294421200 24780309624 24878044800 25276818560 25509142260 25812822525 25914049280 26676227200 26763690240 27082305600 27209751744 27533677360 27765052800 28320353856 28343491400 28436420880 28910361228 29153305440 29500368600 30010755600 30332182272 30975387030 31467059840 31596023200 31886427825 32011472640 32392561600 32498766720 33040412832 33318063360 33454612800 34012189680 34298006400 34417096700 35400442320 35545526100 36109740800 36137951535 36279668992 36441631800 37760471808 37915227840 38547148304 38871073920 39333824800 40014340800 40623458400 40814627616 41300516040 41647579200 42515237100 43365541842 44053883776 44250552900 44606150400 45349586240 45498273408 46426809600 46645288704 47200589760 47394034800 48017208960 48183935380 48588842400 49560619248 49756089600 50553637120 51018284520 51625645050 53352454400 54164611200 54419503488 55067354720 55530105600 56640707712 56686982800 56872841760 57820722456 58306610880 59000737200 60021511200 60229919225 61950774060 62934119680 63192046400 63772855650 64785123200 64997533440 66080825664 66909225600 68024379360 68596012800 68834193400 70800884640 71091052200 72275903070 72883263600 75830455680 77094296608 77438467575 77742147840 78667649600 80028681600 81246916800 81629255232 82601032080 83295158400 85030474200 86731083684 88107767552 88501105800 90699172480 90996546816 94401179520 94788069600 96034417920 96367870760 97177684800 99121238496 102036569040 103251290100 108329222400 108413854605 108839006976 110134709440 113281415424 113373965600 113745683520 115641444912 116613221760 118001474400 120043022400 120459838450 123901548120 126384092800 127545711300 129570246400 132161651328 133818451200 136048758720 137668386800 141601769280 142182104400 144551806140 145766527200 151660911360 154188593216 154876935150 157335299200 160057363200 162493833600 163258510464 165202064160 166590316800 170060948400 173462167368 177002211600 180689757675 181398344960 188802359040 189576139200 192735741520 194355369600 198242476992 204073138080 206502580200 216827709210 220269418880 226747931200 227491367040 231282889824 233226443520 236002948800 240086044800 240919676900 247803096240 252768185600 255091422600 264323302656 272097517440 275336773600 283203538560 284364208800 289103612280 291533054400 308377186432 309753870300 314670598400 324987667200 326517020928 330404128320 340121896800 346924334736 354004423200 361379515350 379152278400 385471483040 388710739200 396484953984 408146276160 413005160400 433655418420 440538837760 453495862400 454982734080 462565779648 472005897600 480172089600 481839353800 495606192480 510182845200 542069273025 544195034880 550673547200 566407077120 568728417600 578207224560 583066108800 616754372864 619507740600 660808256640 680243793600 693848669472 708008846400 722759030700 758304556800 770942966080 792969907968 816292552320 826010320800 867310836840 906991724800 925131559296 944011795200 963678707600 991212384960 1020365690400 1084138546050 1101347094400 1137456835200 1156414449120 1166132217600 1239015481200 1321616513280 1360487587200 1387697338944 1416017692800 1445518061400 1541885932160 1632585104640 1652020641600 1734621673680 1850263118592 1927357415200 1982424769920 2040731380800 2168277092100 2202694188800 2274913670400 2312828898240 2478030962400 2720975174400 2775394677888 2832035385600 2891036122800 3083771864320 3304041283200 3469243347360 3854714830400 3964849539840 4081462761600 4336554184200 4625657796480 4956061924800 5550789355776 5782072245600 6608082566400 6938486694720 7709429660800 8162925523200 8673108368400 9251315592960 9912123849600 11564144491200 13876973389440 15418859321600 17346216736800 19824247699200 23128288982400 27753946778880 34692433473600 46256577964800 69384866947200 138769733894400
- Sum of all divisors σ(n): 623354458659660
- Sum of proper divisors (its aliquot sum) s(n): 484584724765260
- 138769733894400 is an abundant number, because the sum of its proper divisors (484584724765260) is greater than itself. Its abundance is 345814990870860
Bases of 138769733894400
- Binary: 111111000110101110110001011000111000001000000002
- Hexadecimal: 0x7E35D8B1C100
- Base-36: 1D6TXOMRK0
Squares and roots of 138769733894400
- 138769733894400 squared (1387697338944002) is 19257039045122588190351360000
- 138769733894400 cubed (1387697338944003) is 2672294183885732237401654280837136384000000
-
The
square root of 138769733894400 is 11780056.6167739619 -
The
cube root of 138769733894400 is 51772.3945045029
Scales and comparisons
How big is 138769733894400?- 138,769,733,894,400 seconds is equal to 4,412,448 years, 15 weeks, 2 days, 8 hours.
-
To count from 1 to 138,769,733,894,400 would take you about eleven million, thirty-one thousand, one hundred twenty 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 138769733894400 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138769733894400
- 138769733894400 backwards is 004498337967831
- 138769733894400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138769733894400's digits is 72
- More coming soon!
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"Number 138769733894400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138769733894400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138769733894400/
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The information we have on file for 138769733894400 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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