137972322670625001
137,972,322,670,625,001 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137972322670625001 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
137972322670625001 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137972322670625001:
38 × 13 × 292 × 41 × 792 × 7517
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 29 × 29 × 41 × 79 × 79 × 7517)See below for interesting mathematical facts about the number 137972322670625001 from the Numbermatics database.
Names of 137972322670625001
- Cardinal: 137972322670625001 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-two trillion, three hundred twenty-two billion, six hundred seventy million, six hundred twenty-five thousand and one.
Scientific notation
- Scientific notation: 1.37972322670625001 × 1017
Factors of 137972322670625001
Divisors of 137972322670625001
- Number of divisors d(n): 648
-
Complete list of divisors:
1 3 9 13 27 29 39 41 79 81 87 117 123 237 243 261 351 369 377 533 711 729 783 841 1027 1053 1107 1131 1189 1599 2133 2187 2291 2349 2523 3081 3159 3239 3321 3393 3567 4797 6241 6399 6561 6873 7047 7517 7569 9243 9477 9717 9963 10179 10701 10933 14391 15457 18723 19197 20619 21141 22551 22707 27729 28431 29151 29783 29889 30537 32103 32799 34481 42107 43173 46371 56169 57591 61857 63423 66439 67653 68121 81133 83187 85293 87453 89349 89667 91611 93931 96309 97721 98397 103443 126321 129519 139113 168507 172773 180989 185571 190269 199317 202959 204363 217993 243399 249561 255881 262359 268047 269001 274833 281793 288927 293163 295191 308197 310329 378963 388557 417339 448253 505521 518319 542967 556713 593843 597951 608877 613089 653979 730197 748683 767643 787077 804141 824499 845379 863707 866781 879489 885573 924591 930987 1136889 1165671 1221103 1252017 1344759 1516563 1628901 1670139 1781529 1793853 1826631 1839267 1961937 2190591 2246049 2302929 2352857 2361231 2412423 2473497 2536137 2591121 2600343 2638467 2656719 2723999 2773773 2792961 2833909 3326453 3410667 3497013 3663309 3756051 4006561 4034277 4549689 4886703 5010417 5248681 5344587 5381559 5479893 5517801 5885811 6321797 6571773 6738147 6908787 7058571 7083693 7237269 7420549 7608411 7719959 7773363 7801029 7915401 7970157 8171997 8321319 8378883 8501727 8937713 9979359 10232001 10989927 11268153 12019683 12102831 13649067 14660109 15031251 15746043 16033761 16144677 16439679 17221447 17657433 18965391 19715319 20726361 21175713 21251079 21711807 22261647 22825233 23159877 23320089 23746203 23910471 24347563 24515991 24963957 25136649 25505181 26813139 29938077 30696003 32969781 33804459 35411987 36059049 36308493 40947201 43980327 46913597 47238129 48101283 48434031 49319037 51664341 52972299 56896173 59145957 62179083 63527139 65135421 66784941 68232853 68475699 69479631 69960267 71238609 71731413 73042689 73547973 74891871 75409947 76515543 80439417 82183361 89814231 92088009 96467137 98909343 101413377 106235961 108177147 108925479 116190269 131940981 140740791 141714387 144303849 145302093 154993023 158916897 170688519 177437871 186537249 190581417 195406263 200354823 204698559 205427097 208438893 209880801 213715827 215195921 219128067 220643919 223878811 224675613 226229841 229546629 241318251 246550083 259193677 269442693 276264027 289401411 296728029 316518319 318707883 324531441 326776437 348570807 395822943 422222373 425143161 432911547 435906279 464979069 476750691 499421963 512065557 532313613 559611747 571744251 601064469 609876761 614095677 616281291 625316679 629642403 641147481 645587763 657384201 661931757 671636433 674026839 688639887 706079327 723954753 739650249 777581031 808328079 868204233 890184087 949554957 956123649 973594323 980329311 1045712421 1187468829 1266667119 1275429483 1298734641 1360494313 1394937207 1430252073 1498265889 1536196671 1678835241 1715232753 1803193407 1829630283 1842287031 1875950037 1888927209 1923457477 1936763289 1972152603 1985795271 2014909299 2022080517 2065919661 2118237981 2171864259 2218950747 2332743093 2424984237 2604612699 2670552261 2797546973 2848664871 2868370947 2920782969 2940987933 3137137263 3369517801 3800001357 3826288449 3896203923 4081482939 4184811621 4494797667 4608590013 5145698259 5409580221 5488890849 5526861093 5627850111 5666781627 5770372431 5810289867 5916457809 5957385813 6044727897 6197758983 6354713943 6492485519 6515592777 6656852241 6998229279 7274952711 7813838097 8011656783 8392640919 8545994613 8605112841 8762348907 9179031251 9411411789 10108553403 11400004071 11478865347 12244448817 12554434863 13484393001 13825770039 15437094777 16228740663 16466672547 16580583279 16883550333 17311117293 17430869601 17686426069 17749373427 17872157439 18134183691 18593276949 19064141829 19477456557 19546778331 19970556723 20476300483 20994687837 21824858133 23441514291 25004947201 25177922757 25637983839 25815338523 26287046721 27537093753 28234235367 30325660209 34200012213 34436596041 36733346451 37663304589 39454335077 40453179003 41477310117 48686221989 49400017641 49741749837 50650650999 51933351879 52292608803 53059278207 53248120281 54402551073 55780266833 57192425487 58432369671 58640334993 59911670169 61428901449 62984063511 70324542873 75014841603 75533768271 76913951517 77446015569 82611281259 84702706101 90976980627 102600036639 110200039353 112989913767 118363005231 121359537009 148200052923 149225249511 155800055637 156877826409 159177834621 159744360843 163207653219 167340800499 171577276461 175297109013 179735010507 184286704347 188952190533 210973628619 225044524809 226601304813 230741854551 232338046707 247833843777 254108118303 266191906279 272930941881 307800109917 330600118059 355089015693 364078611027 444600158769 447675748533 467400166911 470633479227 477533503863 489622959657 502022401497 512906356001 514731829383 525891327039 539205031521 552860113041 566856571599 632920885857 675133574427 679803914439 692225563653 725143468829 743501531331 762324354909 798575718837 818792825643 991800354177 1065267047079 1092235833081 1333800476307 1402200500733 1411900437681 1432600511589 1468868878971 1506067204491 1538719068003 1544195488149 1577673981117 1617627738157 1658580339123 1700569714797 2025400723281 2039411743317 2076676690959 2175430406487 2230504593993 2395727156511 2456378476929 2975401062531 3195801141237 3276707499243 4001401428921 4206601502199 4297801534767 4518201613473 4616157204009 4632586464447 4733021943351 4852883214471 4975741017369 6076202169843 6118235229951 6526291219461 6691513781979 7187181469533 7369135430787 8926203187593 9587403423711 12619804506597 12893404604301 13554604840419 13848471612027 14199065830053 14558649643413 14927223052107 18228606509529 18354705689853 19578873658383 20074541345937 21029160596041 21561544408599 22107406292361 28762210271133 38680213812903 40663814521257 41545414836081 42597197490159 43675948930239 44781669156321 54685819528587 58736620975149 60223624037811 63087481788123 64684633225797 86286630813399 116040641438709 121991443563771 124636244508243 131027846790717 134345007468963 164057458585761 176209862925447 189262445364369 194053899677391 258859892440197 365974330691313 373908733524729 393083540372151 528629588776341 567787336093107 582161699032173 1121726200574187 1179250621116453 1585888766329023 1703362008279321 1746485097096519 3365178601722561 3537751863349359 4757666298987069 5110086024837963 10613255590048077 15330258074513889 45990774223541667 137972322670625001
- Sum of all divisors σ(n): 239509544381302104
- Sum of proper divisors (its aliquot sum) s(n): 101537221710677103
- 137972322670625001 is a deficient number, because the sum of its proper divisors (101537221710677103) is less than itself. Its deficiency is 36435100959947898
Bases of 137972322670625001
- Binary: 1111010100010110100011000101100011001111001000000111010012
- Hexadecimal: 0x1EA2D18B19E40E9
- Base-36: 11QJ3U0IA9K9
Squares and roots of 137972322670625001
- 137972322670625001 squared (1379723226706250012) is 19036361823127061608182535966250001
- 137972322670625001 cubed (1379723226706250013) is 2626491055935254157788946201226501061021264886875001
-
The
square root of 137972322670625001 is 371446258.1190245359 -
The
cube root of 137972322670625001 is 516730.3754070511
Scales and comparisons
How big is 137972322670625001?- 137,972,322,670,625,001 seconds is equal to 4,387,093,084 years, 26 weeks, 3 days, 20 hours, 43 minutes, 21 seconds.
-
To count from 1 to 137,972,322,670,625,001 would take you about thirteen billion, one hundred sixty-one million, two hundred seventy-nine thousand, two hundred fifty-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 137972322670625001 cubic inches would be around 43060.9 feet tall.
Recreational maths with 137972322670625001
- 137972322670625001 backwards is 100526076223279731
- The number of decimal digits it has is: 18
- The sum of 137972322670625001's digits is 63
- 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 137972322670625001 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 137972322670625001 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137972322670625001/
Chicago style:
Numbermatics. 2024. "Number 137972322670625001 - Facts about the integer". https://numbermatics.com/n/137972322670625001/
The information we have on file for 137972322670625001 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 137972322670625001, math, Factors of 137972322670625001, curriculum, school, college, exams, university, Prime factorization of 137972322670625001, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred seventy-two trillion, three hundred twenty-two billion, six hundred seventy million, six hundred twenty-five thousand and one.