138457043845120
138,457,043,845,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138457043845120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138457043845120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138457043845120:
214 × 5 × 7 × 11 × 13 × 541 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 13 × 541 × 3121)See below for interesting mathematical facts about the number 138457043845120 from the Numbermatics database.
Names of 138457043845120
- Cardinal: 138457043845120 can be written as One hundred thirty-eight trillion, four hundred fifty-seven billion, forty-three million, eight hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3845704384512 × 1014
Factors of 138457043845120
Divisors of 138457043845120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 52 55 56 64 65 70 77 80 88 91 104 110 112 128 130 140 143 154 160 176 182 208 220 224 256 260 280 286 308 320 352 364 385 416 440 448 455 512 520 541 560 572 616 640 704 715 728 770 832 880 896 910 1001 1024 1040 1082 1120 1144 1232 1280 1408 1430 1456 1540 1664 1760 1792 1820 2002 2048 2080 2164 2240 2288 2464 2560 2705 2816 2860 2912 3080 3121 3328 3520 3584 3640 3787 4004 4096 4160 4328 4480 4576 4928 5005 5120 5410 5632 5720 5824 5951 6160 6242 6656 7033 7040 7168 7280 7574 8008 8192 8320 8656 8960 9152 9856 10010 10240 10820 11264 11440 11648 11902 12320 12484 13312 14066 14080 14336 14560 15148 15605 16016 16384 16640 17312 17920 18304 18935 19712 20020 20480 21640 21847 22528 22880 23296 23804 24640 24968 26624 28132 28160 28672 29120 29755 30296 31210 32032 33280 34331 34624 35165 35840 36608 37870 39424 40040 40573 40960 41657 43280 43694 45056 45760 46592 47608 49231 49280 49936 53248 56264 56320 57344 58240 59510 60592 62420 64064 66560 68662 69248 70330 71680 73216 75740 77363 78848 80080 81146 81920 83314 86560 87388 90112 91520 93184 95216 98462 98560 99872 106496 109235 112528 112640 114688 116480 119020 121184 124840 128128 133120 137324 138496 140660 143360 146432 151480 154726 157696 160160 162292 166628 171655 173120 174776 180224 183040 186368 190432 196924 197120 199744 202865 208285 212992 218470 225056 225280 232960 238040 240317 242368 246155 249680 256256 266240 274648 276992 281320 284011 286720 292864 302960 309452 315392 320320 324584 333256 343310 346240 349552 366080 372736 380864 386815 393848 394240 399488 405730 416570 436940 446303 450112 450560 465920 476080 480634 484736 492310 499360 512512 532480 541541 549296 553984 562640 568022 573440 585728 605920 618904 630784 640640 649168 666512 686620 692480 699104 732160 745472 761728 773630 787696 788480 798976 811460 833140 873880 892606 900224 901120 931840 952160 961268 969472 984620 998720 1025024 1064960 1083082 1098592 1107968 1125280 1136044 1171456 1201585 1211840 1237808 1261568 1281280 1298336 1333024 1373240 1384960 1398208 1420055 1464320 1490944 1523456 1547260 1575392 1576960 1597952 1622920 1666280 1688461 1747760 1785212 1800448 1863680 1904320 1922536 1938944 1969240 1997440 2050048 2166164 2197184 2215936 2231515 2250560 2272088 2342912 2403170 2423680 2475616 2562560 2596672 2666048 2707705 2746480 2769920 2796416 2840110 2928640 3046912 3094520 3124121 3150784 3153920 3195904 3245840 3332560 3376922 3495520 3570424 3600896 3727360 3808640 3845072 3877888 3938480 3994880 4100096 4332328 4394368 4431872 4463030 4501120 4544176 4806340 4847360 4951232 5125120 5193344 5332096 5415410 5492960 5539840 5592832 5680220 5857280 6093824 6189040 6248242 6301568 6307840 6391808 6491680 6665120 6753844 6991040 7140848 7201792 7454720 7617280 7690144 7755776 7876960 7989760 8200192 8442305 8664656 8788736 8863744 8926060 9002240 9088352 9612680 9694720 9902464 10250240 10386688 10664192 10830820 10985920 11079680 11185664 11360440 11714560 11819227 12187648 12378080 12496484 12603136 12783616 12983360 13330240 13507688 13982080 14281696 14403584 15234560 15380288 15511552 15620605 15753920 15979520 16400384 16884610 17329312 17577472 17852120 18004480 18176704 18573071 19225360 19389440 19804928 20500480 20773376 21328384 21661640 21949993 21971840 22159360 22371328 22720880 23638454 24375296 24756160 24992968 25206272 25567232 25966720 26660480 27015376 27964160 28563392 28807168 30469120 30760576 31023104 31241210 31507840 31959040 33769220 34658624 35154944 35704240 36008960 36353408 37146142 38450720 38778880 39609856 41000960 41546752 42656768 43323280 43899986 43943680 44318720 44742656 45441760 47276908 48750592 49512320 49985936 50412544 51134464 51933440 53320960 54030752 55928320 57126784 57614336 59096135 60938240 61521152 62046208 62482420 63015680 63918080 67538440 69317248 70309888 71408480 72017920 72706816 74292284 76901440 77557760 79219712 82001920 83093504 85313536 86646560 87799972 87887360 89485312 90883520 92865355 94553816 97501184 99024640 99971872 100825088 103866880 106641920 108061504 109749965 111856640 114253568 115228672 118192270 121876480 123042304 124964840 126031360 127836160 130011497 135076880 138634496 140619776 142816960 144035840 145413632 148584568 153649951 153802880 155115520 158439424 166187008 170627072 173293120 175599944 175774720 178970624 181767040 185730710 189107632 198049280 199943744 201650176 207733760 213283840 216123008 219499930 223713280 228507136 236384540 241449923 243752960 246084608 249929680 252062720 255672320 260022994 270153760 277268992 281239552 285633920 288071680 290827264 297169136 307299902 307605760 310231040 316878848 332374016 341254144 346586240 351199888 351549440 357941248 363534080 371461420 378215264 396098560 399887488 403300352 415467520 426567680 432246016 438999860 447426560 457014272 472769080 482899846 487505920 492169216 499859360 504125440 520045988 540307520 554537984 562479104 571267840 576143360 581654528 594338272 614599804 615211520 633757696 650057485 664748032 682508288 693172480 702399776 703098880 727068160 742922840 756430528 768249755 792197120 799774976 806600704 830935040 853135360 864492032 877999720 894853120 914028544 945538160 965799692 984338432 999718720 1008250880 1040091976 1080615040 1109075968 1142535680 1163309056 1188676544 1207249615 1229199608 1230423040 1267515392 1300114970 1386344960 1404799552 1406197760 1454136320 1485845680 1512861056 1536499510 1584394240 1599549952 1661870080 1690149461 1706270720 1728984064 1755999440 1789706240 1828057088 1891076320 1931599384 1968676864 1999437440 2016501760 2080183952 2161230080 2218151936 2285071360 2326618112 2377353088 2414499230 2458399216 2460846080 2600229940 2772689920 2809599104 2812395520 2908272640 2971691360 3025722112 3072999020 3168788480 3199099904 3323740160 3380298922 3412541440 3457968128 3511998880 3656114176 3782152640 3863198768 3937353728 3998874880 4033003520 4160367904 4322460160 4436303872 4570142720 4653236224 4754706176 4828998460 4916798432 4921692160 5200459880 5545379840 5619198208 5816545280 5943382720 6051444224 6145998040 6337576960 6398199808 6760597844 6915936256 7023997760 7312228352 7564305280 7726397536 7997749760 8320735808 8450747305 8644920320 8872607744 9140285440 9509412352 9657996920 9833596864 9843384320 10400919760 11090759680 11238396416 11633090560 11886765440 12102888448 12291996080 12796399616 13521195688 13831872512 14047995520 15128610560 15452795072 15995499520 16641471616 16901494610 17289840640 18280570880 19018824704 19315993840 19667193728 19686768640 20801839520 22181519360 22476792832 23266181120 23773530880 24205776896 24583992160 25592799232 27042391376 27663745024 28095991040 30257221120 30905590144 31990999040 33282943232 33802989220 34579681280 36561141760 38037649408 38631987680 39334387456 41603679040 44363038720 44953585664 47547061760 48411553792 49167984320 51185598464 54084782752 56191982080 60514442240 61811180288 63981998080 66565886464 67605978440 69159362560 76075298816 77263975360 78668774912 83207358080 89907171328 95094123520 96823107584 98335968640 108169565504 112383964160 121028884480 123622360576 127963996160 133131772928 135211956880 138318725120 152150597632 154527950720 157337549824 166414716160 179814342656 190188247040 193646215168 196671937280 216339131008 224767928320 242057768960 247244721152 255927992320 266263545856 270423913760 304301195264 309055901440 314675099648 332829432320 359628685312 380376494080 393343874560 432678262016 449535856640 484115537920 494489442304 532527091712 540847827520 618111802880 629350199296 665658864640 760752988160 786687749120 865356524032 899071713280 968231075840 988978884608 1065054183424 1081695655040 1236223605760 1258700398592 1331317729280 1521505976320 1573375498240 1730713048064 1798143426560 1977957769216 2130108366848 2163391310080 2472447211520 2517400797184 2662635458560 3146750996480 3461426096128 3955915538432 4326782620160 4944894423040 5325270917120 6293501992960 6922852192256 8653565240320 9889788846080 10650541834240 12587003985920 13845704384512 17307130480640 19779577692160 27691408769024 34614260961280 69228521922560 138457043845120
- Sum of all divisors σ(n): 447115149798912
- Sum of proper divisors (its aliquot sum) s(n): 308658105953792
- 138457043845120 is an abundant number, because the sum of its proper divisors (308658105953792) is greater than itself. Its abundance is 170201062108672
Bases of 138457043845120
- Binary: 111110111101101000010101110101001000000000000002
- Hexadecimal: 0x7DED0AEA4000
- Base-36: 1D2UAD1TDS
Squares and roots of 138457043845120
- 138457043845120 squared (1384570438451202) is 19170352990329482074547814400
- 138457043845120 cubed (1384570438451203) is 2654270404508476402950647834778668105728000
-
The
square root of 138457043845120 is 11766777.1222675923 -
The
cube root of 138457043845120 is 51733.4789890209
Scales and comparisons
How big is 138457043845120?- 138,457,043,845,120 seconds is equal to 4,402,505 years, 37 weeks, 2 days, 12 hours, 58 minutes, 40 seconds.
-
To count from 1 to 138,457,043,845,120 would take you about eleven million, six thousand, two hundred sixty-four 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 138457043845120 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138457043845120
- 138457043845120 backwards is 021548340754831
- 138457043845120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138457043845120's digits is 55
- 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 138457043845120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138457043845120 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138457043845120/
Chicago style:
Numbermatics. 2024. "Number 138457043845120 - Facts about the integer". https://numbermatics.com/n/138457043845120/
The information we have on file for 138457043845120 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 138457043845120, math, Factors of 138457043845120, curriculum, school, college, exams, university, Prime factorization of 138457043845120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred fifty-seven billion, forty-three million, eight hundred forty-five thousand, one hundred twenty.