138947943371371200
138,947,943,371,371,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138947943371371200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
138947943371371200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138947943371371200:
26 × 33 × 52 × 112 × 192 × 85812
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 19 × 19 × 8581 × 8581)See below for interesting mathematical facts about the number 138947943371371200 from the Numbermatics database.
Names of 138947943371371200
- Cardinal: 138947943371371200 can be written as One hundred thirty-eight quadrillion, nine hundred forty-seven trillion, nine hundred forty-three billion, three hundred seventy-one million, three hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.389479433713712 × 1017
Factors of 138947943371371200
Divisors of 138947943371371200
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 108 110 114 120 121 132 135 144 150 152 160 165 171 176 180 190 192 198 200 209 216 220 225 228 240 242 264 270 275 285 288 297 300 304 320 330 342 352 360 361 363 380 396 400 418 432 440 450 456 475 480 484 495 513 528 540 550 570 576 594 600 605 608 627 660 675 684 704 720 722 726 760 792 800 825 836 855 864 880 900 912 950 960 968 990 1026 1045 1056 1080 1083 1089 1100 1140 1188 1200 1210 1216 1254 1320 1350 1368 1425 1440 1444 1452 1485 1520 1584 1600 1650 1672 1710 1728 1760 1800 1805 1815 1824 1881 1900 1936 1980 2052 2090 2112 2160 2166 2178 2200 2280 2299 2376 2400 2420 2475 2508 2565 2640 2700 2736 2850 2880 2888 2904 2970 3025 3040 3135 3168 3249 3267 3300 3344 3420 3520 3600 3610 3630 3648 3762 3800 3872 3960 3971 4104 4180 4275 4320 4332 4356 4400 4560 4598 4752 4800 4840 4950 5016 5130 5225 5280 5400 5415 5445 5472 5643 5700 5776 5808 5940 6050 6080 6270 6336 6498 6534 6600 6688 6840 6897 7200 7220 7260 7425 7524 7600 7744 7920 7942 8208 8360 8550 8581 8640 8664 8712 8800 9025 9075 9120 9196 9405 9504 9680 9747 9900 10032 10260 10450 10560 10800 10830 10890 10944 11286 11400 11495 11552 11616 11880 11913 12100 12540 12825 12996 13068 13200 13376 13680 13794 14400 14440 14520 14850 15048 15200 15675 15840 15884 16245 16335 16416 16720 17100 17162 17328 17424 17600 18050 18150 18240 18392 18810 19008 19360 19494 19800 19855 20064 20520 20691 20900 21600 21660 21780 22572 22800 22990 23104 23232 23760 23826 24200 25080 25650 25743 25992 26136 26400 27075 27225 27360 27588 28215 28880 29040 29700 30096 30400 31350 31680 31768 32490 32670 32832 33440 34200 34324 34485 34656 34848 35739 36100 36300 36784 37620 38720 38988 39600 39710 40128 41040 41382 41800 42905 43200 43320 43560 43681 45144 45600 45980 47025 47520 47652 48400 48735 50160 51300 51486 51984 52272 52800 54150 54450 54720 55176 56430 57475 57760 58080 59400 59565 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57894976404738 58479774146200 60438426868800 60942080426040 63158156077896 63796117250400 64149558343200 64327751560820 65789745914475 66482269555680 67713422695600 70175728975440 71770631906700 73130496511248 73869188395200 76177600532550 76555340700480 76979470011840 77193301872984 78947695097370 80409689451025 81256107234720 83102836944600 84210874770528 86842464607107 87719661219300 91413120639060 93567638633920 95694175875600 96224337514800 96491627341230 97507328681664 101570134043400 102924402497312 105263593463160 110803782592800 114266400798825 114833011050720 115789952809476 116959548292400 121884160852080 126316312155792 127592234500800 128299116686400 128655503121640 131579491828950 132964539111360 135426845391200 140351457950880 143541263813400 144737441011845 146260993022496 152355201065100 154386603745968 157895390194740 160819378902050 162512214469440 166205673889200 168421749541056 173684929214214 175439322438600 182826241278120 191388351751200 192448675029600 192983254682460 197369237743425 203140268086800 205848804994624 210527186926320 221607565185600 228532801597650 229666022101440 231579905618952 233919096584800 241229068353075 243768321704160 252632624311584 257311006243280 263158983657900 270853690782400 280702915901760 287082527626800 289474882023690 292521986044992 304710402130200 308773207491936 315790780389480 321638757804100 332411347778400 347369858428428 350878644877200 365652482556240 382776703502400 384897350059200 385966509364920 394738475486850 406280536173600 421054373852640 434212323035535 457065603195300 463159811237904 467838193169600 482458136706150 487536643408320 505265248623168 514622012486560 526317967315800 574165055253600 578949764047380 609420804260400 617546414983872 631581560778960 643277515608200 664822695556800 694739716856856 701757289754400 723687205059225 731304965112480 771933018729840 789476950973700 812561072347200 842108747705280 868424646071070 914131206390600 926319622475808 964916273412300 1029244024973120 1052635934631600 1148330110507200 1157899528094760 1218841608520800 1263163121557920 1286555031216400 1389479433713712 1403514579508800 1447374410118450 1462609930224960 1543866037459680 1578953901947400 1736849292142140 1828262412781200 1852639244951616 1929832546824600 2105271869263200 2171061615177675 2315799056189520 2437683217041600 2526326243115840 2573110062432800 2778958867427424 2894748820236900 3087732074919360 3157907803894800 3473698584284280 3656524825562400 3859665093649200 4210543738526400 4342123230355350 4631598112379040 5146220124865600 5557917734854848 5789497640473800 6315815607789600 6947397168568560 7313049651124800 7719330187298400 8684246460710700 9263196224758080 11578995280947600 12631631215579200 13894794337137120 15438660374596800 17368492921421400 23157990561895200 27789588674274240 34736985842842800 46315981123790400 69473971685685600 138947943371371200
- Sum of all divisors σ(n): 587663125811397720
- Sum of proper divisors (its aliquot sum) s(n): 448715182440026520
- 138947943371371200 is an abundant number, because the sum of its proper divisors (448715182440026520) is greater than itself. Its abundance is 309767239068655320
Bases of 138947943371371200
- Binary: 1111011011010010001101011000101101110101111110010110000002
- Hexadecimal: 0x1EDA46B16EBF2C0
- Base-36: 1204XNZ5Q9C0
Squares and roots of 138947943371371200
- 138947943371371200 squared (1389479433713712002) is 19306530967133777796799768189440000
- 138947943371371200 cubed (1389479433713712003) is 2682602771518928603786031393730408394154160128000000
-
The
square root of 138947943371371200 is 372757217.7320932843 -
The
cube root of 138947943371371200 is 517945.4723283251
Scales and comparisons
How big is 138947943371371200?- 138,947,943,371,371,200 seconds is equal to 4,418,114,805 years, 12 hours.
-
To count from 1 to 138,947,943,371,371,200 would take you about thirteen billion, two hundred fifty-four million, three hundred forty-four thousand, four hundred fifteen 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 138947943371371200 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138947943371371200
- 138947943371371200 backwards is 002173173349749831
- 138947943371371200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138947943371371200's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 138947943371371200 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138947943371371200/
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The information we have on file for 138947943371371200 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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