137242233942808916656800
137,242,233,942,808,916,656,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 137242233942808916656800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
137242233942808916656800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137242233942808916656800:
25 × 32 × 52 × 13 × 53 × 27665343078295621
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 53 × 27665343078295621)See below for interesting mathematical facts about the number 137242233942808916656800 from the Numbermatics database.
Names of 137242233942808916656800
- Cardinal: 137242233942808916656800 can be written as One hundred thirty-seven sextillion, two hundred forty-two quintillion, two hundred thirty-three quadrillion, nine hundred forty-two trillion, eight hundred eight billion, nine hundred sixteen million, six hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.372422339428089166568 × 1023
Factors of 137242233942808916656800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 27665343078295697
Divisors of 137242233942808916656800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 53 60 65 72 75 78 80 90 96 100 104 106 117 120 130 144 150 156 159 160 180 195 200 208 212 225 234 240 260 265 288 300 312 318 325 360 390 400 416 424 450 468 477 480 520 530 585 600 624 636 650 689 720 780 795 800 848 900 936 954 975 1040 1060 1170 1200 1248 1272 1300 1325 1378 1440 1560 1590 1696 1800 1872 1908 1950 2067 2080 2120 2340 2385 2400 2544 2600 2650 2756 2925 3120 3180 3445 3600 3744 3816 3900 3975 4134 4240 4680 4770 5088 5200 5300 5512 5850 6201 6240 6360 6890 7200 7632 7800 7950 8268 8480 9360 9540 10335 10400 10600 11024 11700 11925 12402 12720 13780 15264 15600 15900 16536 17225 18720 19080 20670 21200 22048 23400 23850 24804 25440 27560 31005 31200 31800 33072 34450 38160 41340 42400 46800 47700 49608 51675 55120 62010 63600 66144 68900 76320 82680 93600 95400 99216 103350 110240 124020 127200 137800 155025 165360 190800 198432 206700 248040 275600 310050 330720 381600 413400 496080 551200 620100 826800 992160 1240200 1653600 2480400 4960800 27665343078295621 55330686156591242 82996029234886863 110661372313182484 138326715391478105 165992058469773726 221322744626364968 248988087704660589 276653430782956210 331984116939547452 359649460017843073 414980146174434315 442645489252729936 497976175409321178 553306861565912420 663968233879094904 691633576957390525 719298920035686146 829960292348868630 885290978505459872 995952350818642356 1078948380053529219 1106613723131824840 1244940438523302945 1327936467758189808 1383267153914781050 1438597840071372292 1466263183149667913 1659920584697737260 1798247300089215365 1991904701637284712 2074900730872171575 2157896760107058438 2213227446263649680 2489880877046605890 2655872935516379616 2766534307829562100 2877195680142744584 2932526366299335826 3236845140160587657 3319841169395474520 3596494600178430730 3983809403274569424 4149801461744343150 4315793520214116876 4398789549449003739 4426454892527299360 4979761754093211780 5394741900267646095 5533068615659124200 5754391360285489168 5865052732598671652 6224702192616514725 6473690280321175314 6639682338790949040 7192989200356861460 7331315915748339565 7967618806549138848 8299602923488686300 8631587040428233752 8797579098898007478 8991236500446076825 9959523508186423560 10789483800535292190 11066137231318248400 11508782720570978336 11730105465197343304 12449404385233029450 12947380560642350628 13196368648347011217 13279364677581898080 14385978400713722920 14662631831496679130 16184225700802938285 16599205846977372600 17263174080856467504 17595158197796014956 17982473000892153650 19061421380945682869 19919047016372847120 21578967601070584380 21993947747245018695 22132274462636496800 23460210930394686608 24898808770466058900 25894761121284701256 26392737296694022434 26973709501338230475 28771956801427445840 29325263662993358260 32368451401605876570 33198411693954745200 34526348161712935008 35190316395592029912 35964946001784307300 36656579578741697825 38122842761891365738 39838094032745694240 43157935202141168760 43987895494490037390 46920421860789373216 49797617540932117800 51789522242569402512 52785474593388044868 53947419002676460950 57184264142837048607 57543913602854891680 58650527325986716520 64736902803211753140 65981843241735056085 66396823387909490400 70380632791184059824 71929892003568614600 73313159157483395650 76245685523782731476 80921128504014691425 86315870404282337520 87975790988980074780 95307106904728414345 99595235081864235600 103579044485138805024 105570949186776089736 107894838005352921900 109969738736225093475 114368528285674097214 117301054651973433040 129473805606423506280 131963686483470112170 140761265582368119648 143859784007137229200 146626318314966791300 152491371047565462952 161842257008029382850 171552792428511145821 172631740808564675040 175951581977960149560 190614213809456828690 199190470163728471200 211141898373552179472 215789676010705843800 219939477472450186950 228737056571348194428 234602109303946866080 258947611212847012560 263927372966940224340 285921320714185243035 287719568014274458400 293252636629933582600 304982742095130925904 323684514016058765700 329909216208675280425 343105584857022291642 351903163955920299120 381228427618913657380 422283796747104358944 431579352021411687600 439878954944900373900 457474113142696388856 476535534523642071725 517895222425694025120 527854745933880448680 571842641428370486070 586505273259867165200 609965484190261851808 647369028032117531400 659818432417350560850 686211169714044583284 703806327911840598240 762456855237827314760 857763962142555729105 863158704042823375200 879757909889800747800 914948226285392777712 953071069047284143450 1055709491867760897360 1143685282856740972140 1173010546519734330400 1294738056064235062800 1319636864834701121700 1372422339428089166568 1429606603570926215175 1524913710475654629520 1715527924285111458210 1759515819779601495600 1829896452570785555424 1906142138094568286900 2111418983735521794720 2287370565713481944280 2589476112128470125600 2639273729669402243400 2744844678856178333136 2859213207141852430350 3049827420951309259040 3431055848570222916420 3519031639559202991200 3812284276189136573800 4288819810712778645525 4574741131426963888560 5278547459338804486800 5489689357712356666272 5718426414283704860700 6862111697140445832840 7624568552378273147600 8577639621425557291050 9149482262853927777120 10557094918677608973600 11436852828567409721400 13724223394280891665680 15249137104756546295200 17155279242851114582100 22873705657134819442800 27448446788561783331360 34310558485702229164200 45747411314269638885600 68621116971404458328400 137242233942808916656800
- Sum of all divisors σ(n): 531010918933624745500248
- Sum of proper divisors (its aliquot sum) s(n): 393768684990815828843448
- 137242233942808916656800 is an abundant number, because the sum of its proper divisors (393768684990815828843448) is greater than itself. Its abundance is 256526451048006912186648
Bases of 137242233942808916656800
- Binary: 111010000111111101010100110011101011001110111001001110110010000000010101000002
- Hexadecimal: 0x1D0FEA99D677276402A0
- Base-36: MCJY5HXXYJD1T40
Squares and roots of 137242233942808916656800
- 137242233942808916656800 squared (1372422339428089166568002) is 18835430777612691917468906596368848488986240000
- 137242233942808916656800 cubed (1372422339428089166568003) is 2585016597194704334099654518640927801488488916438334560882002432000000
-
The
square root of 137242233942808916656800 is 370462189626.4299151787 -
The
cube root of 137242233942808916656800 is 51581732.6548859893
Scales and comparisons
How big is 137242233942808916656800?- 137,242,233,942,808,916,656,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,242,233,942,808,916,656,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137242233942808916656800 cubic inches would be around 4298477.7 feet tall.
Recreational maths with 137242233942808916656800
- 137242233942808916656800 backwards is 008656619808249332242731
- The number of decimal digits it has is: 24
- The sum of 137242233942808916656800's digits is 99
- 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 137242233942808916656800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 137242233942808916656800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137242233942808916656800/
Chicago style:
Numbermatics. 2024. "Number 137242233942808916656800 - Facts about the integer". https://numbermatics.com/n/137242233942808916656800/
The information we have on file for 137242233942808916656800 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 137242233942808916656800, math, Factors of 137242233942808916656800, curriculum, school, college, exams, university, Prime factorization of 137242233942808916656800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, two hundred forty-two quintillion, two hundred thirty-three quadrillion, nine hundred forty-two trillion, eight hundred eight billion, nine hundred sixteen million, six hundred fifty-six thousand, eight hundred.