138448971865575
138,448,971,865,575 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138448971865575 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138448971865575 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138448971865575:
33 × 52 × 7 × 19 × 37 × 137 × 307 × 991
(3 × 3 × 3 × 5 × 5 × 7 × 19 × 37 × 137 × 307 × 991)See below for interesting mathematical facts about the number 138448971865575 from the Numbermatics database.
Names of 138448971865575
- Cardinal: 138448971865575 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, nine hundred seventy-one million, eight hundred sixty-five thousand, five hundred seventy-five.
Scientific notation
- Scientific notation: 1.38448971865575 × 1014
Factors of 138448971865575
Divisors of 138448971865575
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 37 45 57 63 75 95 105 111 133 135 137 171 175 185 189 225 259 285 307 315 333 399 411 475 513 525 555 665 675 685 703 777 855 921 925 945 959 991 999 1197 1233 1295 1425 1535 1575 1665 1995 2055 2109 2149 2331 2565 2603 2763 2775 2877 2973 3325 3425 3515 3591 3699 3885 4275 4605 4725 4795 4921 4955 4995 5069 5833 5985 6165 6327 6447 6475 6937 6993 7675 7809 8289 8325 8631 8919 9975 10275 10545 10745 11359 11655 12825 13015 13815 14385 14763 14865 15207 17499 17575 17955 18221 18495 18829 18981 19341 19425 20811 23025 23427 23975 24605 24775 24975 25345 25893 26757 29165 29925 30825 31635 32235 34077 34685 34965 35483 36667 39045 40831 41445 42059 43155 44289 44595 45621 52497 52725 53725 54663 56487 56795 58023 58275 62433 65075 69075 70281 71925 73815 74325 76035 79513 87495 89775 91105 92475 94145 94905 96311 96705 102231 104055 106449 110001 117135 122493 123025 126177 126725 129465 131803 132867 133785 135767 136863 145825 157491 158175 161175 163989 169461 170385 173425 174825 177415 183335 187299 195225 204155 207225 210295 215775 215821 221445 222975 228105 238539 256669 262485 273315 282435 283975 288933 290115 294413 304237 306693 312165 319347 330003 351405 367479 369075 378531 380175 395409 397565 407301 437475 455525 470725 474525 481555 483525 491967 508383 511155 520275 532245 550005 585675 612465 630885 647325 647463 659015 664335 668925 674177 678835 684315 696673 715617 770007 787455 799121 819945 847305 851925 866799 883239 887075 912711 916675 936495 950369 958041 990009 1020775 1051475 1079105 1102437 1107225 1135593 1140525 1186227 1192695 1221903 1283345 1312425 1366575 1412175 1444665 1450575 1472065 1510747 1521185 1533465 1556183 1560825 1596735 1650015 1757025 1837395 1892655 1942389 1977045 1987825 2022531 2036505 2090019 2129659 2146851 2310021 2397363 2407775 2459835 2541915 2555775 2579573 2600397 2649717 2661225 2738133 2750025 2851107 3062325 3154425 3237315 3295075 3321675 3370885 3394175 3421575 3483365 3558681 3578085 3665709 3850035 3937275 3995605 4099725 4236525 4333995 4416195 4532241 4563555 4668549 4682475 4751845 4790205 4876711 4950045 5023379 5395525 5512185 5593847 5677965 5780503 5827167 5931135 5963475 6067593 6109515 6270057 6388977 6416725 6930063 7192089 7223325 7360325 7553735 7605925 7667325 7738719 7780915 7949151 7983675 8214399 8250075 8553321 9186975 9463275 9711945 9885225 10112655 10182525 10450095 10648295 10734255 10893281 11256769 11550105 11986815 12299175 12709575 12897865 13001985 13248585 13596723 13690665 14005647 14255535 14630133 15070137 16186575 16781541 16854425 17341509 17416825 17793405 17890425 18057011 18202779 18328545 18810171 19166931 19250175 19978025 21576267 21669975 22080975 22661205 22817775 23216157 23342745 23759225 23951025 24383555 24750225 25116895 25659963 27560925 27969235 28389825 28902515 29135835 29567477 29655675 30337965 30547575 31350285 31944885 32679843 33770307 34650315 35163653 35960445 37768675 38693595 38904575 39745755 40463521 40790169 41071995 41680469 42016941 42766605 43890399 45210411 48559725 50344623 50563275 52024527 52250475 53241475 53671275 54171033 54466405 56283845 57500793 57750525 59934075 64489325 65009925 66242925 67983615 68453325 69648471 70028235 71277675 73150665 75350685 78797383 83907705 86707545 88702431 88967025 90285055 91013895 91642725 94050855 95444201 95834655 98039529 101310921 105490959 107881335 113306025 116080785 116713725 121390563 121917775 125041407 125584475 128299815 131671197 135631233 139846175 144512575 145679175 147837385 151033869 151689825 156073581 156751425 159724425 162513099 163399215 168851535 173251575 175818265 179802225 193467975 198728775 202317605 203950845 205359975 206972339 208402345 210084705 213833025 213878611 219451995 226052055 236392149 251723115 260122635 266107293 270855165 272332025 281419225 286332603 287503965 291763283 294118587 303932763 316472877 339918075 348242355 350141175 364171689 365753325 375124221 376753425 393986915 419538525 433537725 443512155 451425275 455069475 470254275 477221005 479173275 487539297 490197645 506554605 527454795 539406675 580403925 606952815 620917017 625207035 641499075 641635833 658355985 668109407 678156165 709176447 739186925 755169345 780367905 791928911 798321879 812565495 816996075 844257675 858997809 875289849 879091325 949418631 1011588025 1019754225 1034861695 1042011725 1050423525 1069393055 1092515067 1097259975 1125372663 1130260275 1181960745 1258615575 1300613175 1330536465 1354275825 1431663015 1437519825 1458816415 1470592935 1497150277 1519663815 1542177353 1582364385 1741211775 1820858445 1862751051 1875621105 1924907499 1969934575 2004328221 2127529341 2217560775 2375786733 2386105025 2437696485 2450988225 2532773025 2576993427 2625869547 2637273975 3034764075 3104585085 3126035175 3208179165 3291779925 3340547035 3390780825 3545882235 3775846725 3901839525 3959644555 3991609395 4062827475 4294989045 4376449245 4491450831 4626532059 4747093155 5174308475 5346965275 5462575335 5543502377 5588253153 5626863315 5774722497 5909803725 6012984663 6652682325 7127360199 7158315075 7294082075 7352964675 7485751385 7598319075 7710886765 7877608641 7911821925 9104292225 9313755255 9378105525 9624537495 10021641105 10637646705 10795241471 11878933665 12188482425 12884967135 13129347735 13474352493 13879596177 15522925425 16040895825 16630507131 16702735175 17729411175 18038953989 19798222775 19958046975 21382080597 21474945225 21882246225 22457254155 23132660295 23735465775 27312876675 27717511885 27941265765 28134316575 28873612485 29301369707 30064923315 32385724413 35636800995 37428756925 38554433825 39388043205 40423057479 41638788531 46568776275 48122687475 49891521393 50108205525 53188233525 53976207355 59394668325 64424835675 65646738675 67371762465 69397980885 83152535655 87904109121 90194769945 97157173239 106910402985 112286270775 115663301475 138587559425 139706328825 144368062425 146506848535 149674564179 150324616575 161928622065 178184004975 196940216025 202115287395 205109587949 208193942655 249457606965 263712327363 269881036775 291471519717 336858812325 346989904425 415762678275 439520545605 450973849725 485785866195 534552014925 615328763847 732534242675 748372820895 791136982089 809643110325 1010576436975 1025547939745 1040969713275 1247288034825 1318561636815 1457357598585 1845986291541 2197602728025 2428929330975 3076643819235 3741864104475 3955684910445 5127739698725 5537958874623 6592808184075 7286787992925 9229931457705 15383219096175 19778424552225 27689794373115 46149657288525 138448971865575
- Sum of all divisors σ(n): 317882587545600
- Sum of proper divisors (its aliquot sum) s(n): 179433615680025
- 138448971865575 is an abundant number, because the sum of its proper divisors (179433615680025) is greater than itself. Its abundance is 40984643814450
Bases of 138448971865575
- Binary: 111110111101011001010011100100110011101111001112
- Hexadecimal: 0x7DEB29C99DE7
- Base-36: 1D2QKV7A3R
Squares and roots of 138448971865575
- 138448971865575 squared (1384489718655752) is 19168117810634777895870080625
- 138448971865575 cubed (1384489718655753) is 2653806203480601430436955689436031911984375
-
The
square root of 138448971865575 is 11766434.1185243969 -
The
cube root of 138448971865575 is 51732.4736237755
Scales and comparisons
How big is 138448971865575?- 138,448,971,865,575 seconds is equal to 4,402,249 years, 2 weeks, 5 days, 20 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,448,971,865,575 would take you about eleven million, five thousand, six hundred twenty-two 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 138448971865575 cubic inches would be around 4311 feet tall.
Recreational maths with 138448971865575
- 138448971865575 backwards is 575568179844831
- The number of decimal digits it has is: 15
- The sum of 138448971865575's digits is 81
- More coming soon!
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The information we have on file for 138448971865575 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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