138391042039200
138,391,042,039,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138391042039200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138391042039200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138391042039200:
25 × 34 × 52 × 613 × 972
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 61 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138391042039200 from the Numbermatics database.
Names of 138391042039200
- Cardinal: 138391042039200 can be written as One hundred thirty-eight trillion, three hundred ninety-one billion, forty-two million, thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.383910420392 × 1014
Factors of 138391042039200
Divisors of 138391042039200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 72 75 80 81 90 96 97 100 108 120 122 135 144 150 160 162 180 183 194 200 216 225 240 244 270 288 291 300 305 324 360 366 388 400 405 432 450 480 485 488 540 549 582 600 610 648 675 720 732 776 800 810 864 873 900 915 970 976 1080 1098 1164 1200 1220 1296 1350 1440 1455 1464 1525 1552 1620 1647 1746 1800 1830 1940 1952 2025 2160 2196 2328 2400 2425 2440 2592 2619 2700 2745 2910 2928 3050 3104 3240 3294 3492 3600 3660 3721 3880 4050 4320 4365 4392 4575 4656 4850 4880 4941 5238 5400 5490 5820 5856 5917 6100 6480 6588 6984 7200 7275 7320 7442 7760 7857 8100 8235 8730 8784 9150 9312 9409 9700 9760 9882 10476 10800 10980 11163 11640 11834 12200 12960 13095 13176 13725 13968 14550 14640 14884 15520 15714 16200 16470 17460 17568 17751 18300 18605 18818 19400 19764 20952 21600 21825 21960 22326 23280 23668 24400 24705 26190 26352 27450 27936 28227 29100 29280 29585 29768 31428 32400 32940 33489 34920 35502 36600 37210 37636 38800 39285 39528 41175 41904 43650 43920 44652 46560 47045 47336 48800 49410 52380 52704 53253 54900 55815 56454 58200 59170 59536 62856 64800 65475 65880 66978 69840 71004 73200 74420 75272 77600 78570 79056 82350 83808 84681 87300 87840 88755 89304 93025 94090 94672 98820 100467 104760 106506 109800 111630 112908 116400 118340 119072 123525 125712 130950 131760 133956 139680 141135 142008 146400 147925 148840 150544 157140 158112 159759 164700 167445 169362 174600 177510 178608 186050 188180 189344 196425 197640 200934 209520 213012 219600 223260 225816 226981 232800 235225 236680 247050 251424 254043 261900 263520 266265 267912 279075 282270 284016 295850 297680 301088 301401 314280 319518 329400 334890 338724 349200 355020 357216 360937 372100 376360 392850 395280 401868 419040 423405 426024 439200 443775 446520 451632 453962 470450 473360 479277 494100 502335 508086 523800 532530 535824 558150 564540 568032 573949 591700 595360 602802 628560 639036 658800 669780 677448 680943 698400 705675 710040 721874 744200 752720 762129 785700 790560 798795 803736 837225 846810 852048 887550 893040 903264 907924 940900 946720 958554 988200 1004670 1016172 1047600 1065060 1071648 1082811 1116300 1129080 1134905 1147898 1183400 1205604 1257120 1270215 1278072 1317600 1331325 1339560 1354896 1361886 1411350 1420080 1443748 1488400 1505440 1507005 1524258 1571400 1597590 1607472 1674450 1693620 1704096 1721847 1775100 1786080 1804685 1815848 1881800 1917108 1976400 2009340 2032344 2042829 2095200 2117025 2130120 2165622 2232600 2258160 2269810 2295796 2366800 2396385 2411208 2511675 2540430 2556144 2662650 2679120 2709792 2723772 2822700 2840160 2869745 2887496 2976800 3014010 3048516 3142800 3195180 3214944 3248433 3348900 3387240 3404715 3443694 3550200 3609370 3631696 3763600 3810645 3834216 3952800 3993975 4018680 4064688 4085658 4234050 4260240 4331244 4465200 4516320 4539620 4591592 4733600 4792770 4822416 5023350 5080860 5112288 5165541 5325300 5358240 5414055 5447544 5645400 5674525 5739490 5774992 6028020 6097032 6128487 6285600 6351075 6390360 6496866 6697800 6774480 6809430 6887388 7100400 7218740 7263392 7527200 7535025 7621290 7668432 7987950 8037360 8129376 8171316 8468100 8520480 8609235 8662488 8930400 9023425 9079240 9183184 9585540 9644832 9745299 10046700 10161720 10214145 10331082 10650600 10828110 10895088 11290800 11349050 11478980 11549984 11981925 12056040 12194064 12256974 12702150 12780720 12993732 13395600 13548960 13618860 13774776 14200800 14348725 14437480 15070050 15242580 15336864 15496623 15975900 16074720 16242165 16342632 16936200 17023575 17218470 17324976 18046850 18158480 18366368 18385461 19053225 19171080 19490598 20093400 20323440 20428290 20662164 21301200 21656220 21790176 22017157 22581600 22698100 22957960 23963850 24112080 24388128 24513948 25404300 25561440 25827705 25987464 26791200 27070275 27237720 27549552 28697450 28874960 29235897 30140100 30485160 30642435 30993246 31951800 32484330 32685264 33872400 34047150 34436940 34649952 35010889 36093700 36316960 36770922 38106450 38342160 38981196 40186800 40646880 40856580 41324328 42602400 43046175 43312440 44034314 45396200 45915920 46489869 47927700 48224160 48726495 49027896 50808600 51070725 51655410 51974928 54140550 54475440 55099104 57394900 57749920 58471794 60280200 60970320 61284870 61986492 63903600 64968660 65370528 66051471 67744800 68094300 68873880 70021778 72187400 73541844 76212900 76684320 77483115 77962392 80373600 81210825 81713160 82648656 86092350 86624880 88068628 90792400 91831840 91927305 92979738 95855400 97452990 98055792 101617200 102141450 103310820 103949856 105032667 108281100 108950880 110085785 114789800 116943588 120560400 121940640 122569740 123972984 127807200 129138525 129937320 132102942 136188600 137747760 140043556 144374800 146179485 147083688 152425800 153212175 154966230 155924784 162421650 163426320 165297312 172184700 173249760 175054445 176137256 181584800 183854610 185959476 191710800 194905980 196111584 198154413 203234400 204282900 206621640 210065334 216562200 220171570 229579600 232449345 233887176 241120800 243632475 245139480 247945968 258277050 259874640 264205884 272377200 275495520 280087112 288749600 292358970 294167376 304851600 306424350 309932460 311849568 315098001 324843300 326852640 330257355 344369400 350108890 352274512 367709220 371918952 383421600 387415575 389811960 396308826 408565800 413243280 420130668 433124400 440343140 459159200 459636525 464898690 467774352 487264950 490278960 495891936 516554100 519749280 525163335 528411768 544754400 550428925 560174224 584717940 588334752 594463239 609703200 612848700 619864920 630196002 649686600 660514710 688738800 700217780 704549024 730897425 735418440 743837904 774831150 779623920 792617652 817131600 826486560 840261336 866248800 875272225 880686280 919273050 929797380 935548704 945294003 974529900 980557920 990772065 1033108200 1050326670 1056823536 1100857850 1120348448 1162246725 1169435880 1188926478 1225697400 1239729840 1260392004 1299373200 1321029420 1377477600 1400435560 1461794850 1470836880 1487675808 1549662300 1559247840 1575490005 1585235304 1634263200 1651286775 1680522672 1750544450 1761372560 1783389717 1838546100 1859594760 1890588006 1949059800 1981544130 2066216400 2100653340 2113647072 2135664229 2201715700 2324493450 2338871760 2377852956 2451394800 2479459680 2520784008 2598746400 2625816675 2642058840 2800871120 2835882009 2923589700 2941673760 2972316195 3099324600 3150980010 3170470608 3302573550 3361045344 3501088900 3522745120 3566779434 3677092200 3719189520 3781176012 3898119600 3963088260 4132432800 4201306680 4271328458 4403431400 4648986900 4677743520 4726470015 4755705912 4902789600 4953860325 5041568016 5251633350 5284117680 5601742240 5671764018 5847179400 5944632390 6198649200 6301960020 6340941216 6406992687 6605147100 7002177800 7133558868 7354184400 7438379040 7562352024 7796239200 7877450025 7926176520 8402613360 8542656916 8806862800 8916948585 9297973800 9452940030 9511411824 9907720650 10083136032 10503266700 10568235360 10678321145 11343528036 11694358800 11889264780 12397298400 12603920040 12813985374 13210294200 14004355600 14179410045 14267117736 14708368800 14861580975 15124704048 15754900050 15852353040 16805226720 17085313832 17613725600 17833897170 18595947600 18905880060 19022823648 19220978061 19815441300 21006533400 21356642290 22687056072 23388717600 23632350075 23778529560 25207840080 25627970748 26420588400 28008711200 28358820090 28534235472 29723161950 30249408096 31509800100 31704706080 32034963435 34170627664 35667794340 37191895200 37811760120 38441956122 39630882600 42013066800 42713284580 44584742925 45374112144 47264700150 47557059120 50415680160 51255941496 52841176800 53391605725 56717640180 57068470944 57662934183 59446323900 63019600200 64069926870 68341255328 70897050225 71335588680 75623520240 76883912244 79261765200 84026133600 85426569160 89169485850 90748224288 94529400300 95114118240 96104890305 102511882992 106783211450 113435280360 115325868366 118892647800 126039200400 128139853740 141794100450 142671177360 151247040480 153767824488 158523530400 160174817175 170853138320 172988802549 178338971700 189058800600 192209780610 205023765984 213566422900 226870560720 230651736732 237785295600 252078400800 256279707480 283588200900 285342354720 288314670915 307535648976 320349634350 341706276640 345977605098 356677943400 378117601200 384419561220 427132845800 453741121440 461303473464 475570591200 480524451525 512559414960 567176401800 576629341830 615071297952 640699268700 691955210196 713355886800 756235202400 768839122440 854265691600 864944012745 922606946928 961048903050 1025118829920 1134352803600 1153258683660 1281398537400 1383910420392 1426711773600 1441573354575 1537678244880 1708531383200 1729888025490 1845213893856 1922097806100 2268705607200 2306517367320 2562797074800 2767820840784 2883146709150 3075356489760 3459776050980 3844195612200 4324720063725 4613034734640 5125594149600 5535641681568 5766293418300 6919552101960 7688391224400 8649440127450 9226069469280 11532586836600 13839104203920 15376782448800 17298880254900 23065173673200 27678208407840 34597760509800 46130347346400 69195521019600 138391042039200
- Sum of all divisors σ(n): 518440792485924
- Sum of proper divisors (its aliquot sum) s(n): 380049750446724
- 138391042039200 is an abundant number, because the sum of its proper divisors (380049750446724) is greater than itself. Its abundance is 241658708407524
Bases of 138391042039200
- Binary: 111110111011101101011001110011010011101101000002
- Hexadecimal: 0x7DDDACE69DA0
- Base-36: 1D1ZYTA200
Squares and roots of 138391042039200
- 138391042039200 squared (1383910420392002) is 19152080516695621694336640000
- 138391042039200 cubed (1383910420392003) is 2650476379924167039371521478796876288000000
-
The
square root of 138391042039200 is 11763972.2049654639 -
The
cube root of 138391042039200 is 51725.2573157187
Scales and comparisons
How big is 138391042039200?- 138,391,042,039,200 seconds is equal to 4,400,407 years, 3 weeks, 2 days, 18 hours.
-
To count from 1 to 138,391,042,039,200 would take you about eleven million, one thousand and seventeen 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 138391042039200 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138391042039200
- 138391042039200 backwards is 002930240193831
- 138391042039200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138391042039200's digits is 45
- More coming soon!
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"Number 138391042039200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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The information we have on file for 138391042039200 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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