138478039644672
138,478,039,644,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 138478039644672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
138478039644672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138478039644672:
29 × 35 × 74 × 133 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 211)See below for interesting mathematical facts about the number 138478039644672 from the Numbermatics database.
Names of 138478039644672
- Cardinal: 138478039644672 can be written as One hundred thirty-eight trillion, four hundred seventy-eight billion, thirty-nine million, six hundred forty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38478039644672 × 1014
Factors of 138478039644672
Divisors of 138478039644672
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 156 162 168 169 182 189 192 196 208 211 216 224 234 243 252 256 273 288 294 312 324 336 338 343 351 364 378 384 392 416 422 432 441 448 468 486 504 507 512 546 567 576 588 624 633 637 648 672 676 686 702 728 756 768 784 819 832 844 864 882 896 936 972 1008 1014 1029 1053 1092 1134 1152 1176 1183 1248 1266 1274 1296 1323 1344 1352 1372 1404 1456 1477 1512 1521 1536 1568 1638 1664 1688 1701 1728 1764 1792 1872 1899 1911 1944 2016 2028 2058 2106 2184 2197 2268 2304 2352 2366 2401 2457 2496 2532 2548 2592 2646 2688 2704 2743 2744 2808 2912 2954 3024 3042 3087 3136 3159 3276 3328 3376 3402 3456 3528 3549 3584 3744 3798 3822 3888 3969 4032 4056 4116 4212 4368 4394 4431 4459 4536 4563 4608 4704 4732 4802 4914 4992 5064 5096 5184 5292 5376 5408 5486 5488 5616 5697 5733 5824 5908 6048 6084 6174 6272 6318 6552 6591 6656 6752 6804 6912 7056 7098 7203 7371 7488 7596 7644 7776 7938 8064 8112 8229 8232 8281 8424 8736 8788 8862 8918 9072 9126 9261 9408 9464 9604 9828 9984 10128 10192 10339 10368 10584 10647 10752 10816 10972 10976 11232 11394 11466 11648 11816 11907 12096 12168 12348 12544 12636 13104 13182 13293 13377 13504 13608 13689 13824 14112 14196 14406 14742 14976 15192 15288 15379 15552 15876 16128 16224 16458 16464 16562 16848 17091 17199 17472 17576 17724 17836 18144 18252 18522 18816 18928 19201 19208 19656 19773 19968 20256 20384 20678 20736 21168 21294 21609 21632 21944 21952 22113 22464 22788 22932 23296 23632 23814 24192 24336 24687 24696 24843 25088 25272 26208 26364 26586 26754 27008 27216 27378 27783 28224 28392 28812 29484 29952 30384 30576 30758 31017 31104 31213 31752 31941 32256 32448 32916 32928 33124 33696 34182 34398 34944 35152 35448 35659 35672 36288 36504 37044 37632 37856 38402 38416 39312 39546 39879 40131 40512 40768 41067 41356 41472 42336 42588 43218 43264 43888 43904 44226 44928 45576 45864 46137 46592 47264 47628 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27345584448 27739991916 28180309248 28837575936 29264167296 29438358768 30051657909 30348025344 30528668352 31055851008 31252096512 31515257088 31702847904 32877027456 33643838592 34141528512 34344751896 34889906688 35616779744 36231826176 36460779264 36986655888 38637845883 39018889728 39251145024 40068877212 40704891136 41018376672 41609987874 42270463872 43836036608 44157538152 44858451456 45522038016 45793002528 46878144768 47554271856 49315541184 50465757888 50484155904 51212292768 51517127844 52334860032 53425169616 54347739264 54691168896 55479983832 56360618496 57675151872 58528334592 58876717536 60103315818 61057336704 63030514176 63405695808 65754054912 67287677184 68283057024 68689503792 71233559488 72463652352 72921558528 73973311776 77275691766 78502290048 80137754424 81409782272 82036753344 83219975748 84540927744 88315076304 90154973727 91044076032 91586005056 93756289536 95108543712 98631082368 100931515776 102424585536 103034255688 104669720064 106850339232 108695478528 109382337792 110959967664 117056669184 117753435072 120206631636 122114673408 126811391616 131508109824 134575354368 136566114048 137379007584 142467118976 147946623552 154551383532 157004580096 160275508848 164073506688 166439951496 169081855488 176630152608 180309947454 183172010112 190217087424 197262164736 201863031552 204849171072 206068511376 213700678464 217390957056 218764675584 221919935328 235506870144 240413263272 244229346816 253622783232 270464921181 273132228096 274758015168 284934237952 295893247104 309102767064 314009160192 320551017696 328147013376 332879902992 353260305216 360619894908 366344020224 380434174848 394524329472 403726063104 409698342144 412137022752 427401356928 443839870656 471013740288 480826526544 507245566464 540929842362 549516030336 569868475904 591786494208 618205534128 641102035392 656294026752 665759805984 706520610432 721239789816 732688040448 760868349696 819396684288 824274045504 854802713856 887679741312 942027480576 961653053088 1081859684724 1099032060672 1183572988416 1236411068256 1282204070784 1331519611968 1413041220864 1442479579632 1521736699392 1648548091008 1709605427712 1775359482624 1923306106176 2163719369448 2198064121344 2472822136512 2564408141568 2663039223936 2826082441728 2884959159264 3297096182016 3550718965248 3846612212352 4327438738896 4945644273024 5128816283136 5326078447872 5769918318528 6594192364032 7693224424704 8654877477792 9891288546048 10652156895744 11539836637056 15386448849408 17309754955584 19782577092096 23079673274112 34619509911168 46159346548224 69239019822336 138478039644672
- Sum of all divisors σ(n): 526263129712320
- Sum of proper divisors (its aliquot sum) s(n): 387785090067648
- 138478039644672 is an abundant number, because the sum of its proper divisors (387785090067648) is greater than itself. Its abundance is 249307050422976
Bases of 138478039644672
- Binary: 111110111110001111011100101110010111010000000002
- Hexadecimal: 0x7DF1EE5CBA00
- Base-36: 1D33XLEO00
Squares and roots of 138478039644672
- 138478039644672 squared (1384780396446722) is 19176167463831350132017987584
- 138478039644672 cubed (1384780396446723) is 2655478078289307024247326185666967867752448
-
The
square root of 138478039644672 is 11767669.2528585285 -
The
cube root of 138478039644672 is 51736.0938333699
Scales and comparisons
How big is 138478039644672?- 138,478,039,644,672 seconds is equal to 4,403,173 years, 16 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,478,039,644,672 would take you about eleven million, seven thousand, nine hundred thirty-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 138478039644672 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138478039644672
- 138478039644672 backwards is 276446930874831
- 138478039644672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138478039644672's digits is 72
- More coming soon!
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"Number 138478039644672 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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The information we have on file for 138478039644672 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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