137472040064531250
137,472,040,064,531,250 is an even composite number composed of six prime numbers multiplied together.
What does the number 137472040064531250 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
137472040064531250 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137472040064531250:
2 × 32 × 57 × 13 × 172 × 51012
(2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 5101 × 5101)See below for interesting mathematical facts about the number 137472040064531250 from the Numbermatics database.
Names of 137472040064531250
- Cardinal: 137472040064531250 can be written as One hundred thirty-seven quadrillion, four hundred seventy-two trillion, forty billion, sixty-four million, five hundred thirty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3747204006453125 × 1017
Factors of 137472040064531250
Divisors of 137472040064531250
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 125 130 150 153 170 195 221 225 234 250 255 289 306 325 375 390 425 442 450 510 578 585 625 650 663 750 765 850 867 975 1105 1125 1170 1250 1275 1326 1445 1530 1625 1734 1875 1950 1989 2125 2210 2250 2550 2601 2890 2925 3125 3250 3315 3750 3757 3825 3978 4250 4335 4875 5101 5202 5525 5625 5850 6250 6375 6630 7225 7514 7650 8125 8670 9375 9750 9945 10202 10625 11050 11250 11271 12750 13005 14450 14625 15303 15625 16250 16575 18750 18785 19125 19890 21250 21675 22542 24375 25505 26010 27625 28125 29250 30606 31250 31875 33150 33813 36125 37570 38250 40625 43350 45909 46875 48750 49725 51010 53125 55250 56250 56355 63750 65025 66313 67626 72250 73125 76515 78125 81250 82875 86717 91818 93750 93925 95625 99450 106250 108375 112710 121875 127525 130050 132626 138125 140625 146250 153030 156250 159375 165750 169065 173434 180625 187850 191250 198939 203125 216750 229545 234375 243750 248625 255050 260151 265625 276250 281250 281775 318750 325125 331565 338130 361250 365625 382575 397878 406250 414375 433585 459090 468750 469625 478125 497250 520302 531250 541875 563550 596817 609375 637625 650250 663130 690625 703125 731250 765150 780453 796875 828750 845325 867170 903125 939250 956250 994695 1015625 1083750 1127321 1147725 1193634 1218750 1243125 1275250 1300755 1328125 1381250 1406250 1408875 1474189 1560906 1593750 1625625 1657825 1690650 1806250 1828125 1912875 1989390 2031250 2071875 2167925 2254642 2295450 2348125 2390625 2486250 2601510 2656250 2709375 2817750 2948378 2984085 3046875 3188125 3251250 3315650 3381963 3453125 3656250 3825750 3902265 3984375 4143750 4226625 4335850 4422567 4515625 4696250 4781250 4973475 5418750 5636605 5738625 5968170 6093750 6215625 6376250 6503775 6763926 6906250 7044375 7370945 7804530 7968750 8128125 8289125 8453250 8845134 9031250 9140625 9564375 9946950 10145889 10359375 10839625 11273210 11477250 11740625 11953125 12431250 13007550 13267701 13546875 14088750 14741890 14920425 15940625 16256250 16578250 16909815 17265625 18281250 19128750 19164457 19511325 20291778 20718750 21133125 21679250 22112835 22578125 23481250 23906250 24867375 26020201 26535402 27093750 28183025 28693125 29840850 31078125 31881250 32518875 33819630 34531250 35221875 36854725 38328914 39022650 40640625 41445625 42266250 44225670 45156250 47821875 49734750 50729445 51796875 52040402 54198125 56366050 57386250 57493371 58703125 62156250 65037750 66338505 67734375 70443750 73709450 74602125 78060603 79703125 81281250 82891250 84549075 95643750 95822285 97556625 101458890 103593750 105665625 108396250 110564175 114986742 117406250 124336875 130101005 132677010 135468750 140915125 143465625 149204250 155390625 156121206 159406250 162594375 169098150 172480113 176109375 184273625 191644570 195113250 203203125 207228125 211331250 221128350 234181809 239109375 248673750 253647225 260202010 270990625 281830250 286931250 287466855 293515625 310781250 325188750 331692525 338262613 344960226 352218750 368547250 373010625 390303015 398515625 406406250 414456250 422745375 442343417 468363618 478218750 479111425 487783125 507294450 528328125 541981250 552820875 574933710 587031250 621684375 650505025 663385050 676525226 704575625 717328125 746021250 780606030 797031250 812971875 845490750 862400565 880546875 884686834 921368125 958222850 975566250 1014787839 1036140625 1056656250 1105641750 1170909045 1195546875 1243368750 1268236125 1301010050 1327030251 1354953125 1409151250 1434656250 1437334275 1625943750 1658462625 1691313065 1724801130 1761093750 1842736250 1865053125 1951515075 2029575678 2072281250 2113726875 2211717085 2341818090 2391093750 2395557125 2438915625 2536472250 2641640625 2654060502 2709906250 2764104375 2874668550 3044363517 3108421875 3252525125 3316925250 3382626130 3522878125 3586640625 3730106250 3903030150 3981090753 4064859375 4227453750 4312002825 4423434170 4606840625 4791114250 4877831250 5073939195 5180703125 5283281250 5528208750 5750464421 5854545225 6088727034 6216843750 6341180625 6505050250 6635151255 6774765625 7045756250 7173281250 7186671375 7519838089 7962181506 8129718750 8292313125 8456565325 8624005650 9213681250 9325265625 9757575375 10147878390 10361406250 10568634375 11058585425 11500928842 11709090450 11977785625 12194578125 12682361250 13270302510 13549531250 13820521875 14373342750 15039676178 15221817585 15542109375 16262625625 16584626250 16913130650 17251393263 17614390625 18650531250 19515150750 19905453765 20324296875 21137268750 21560014125 22117170850 22559514267 23034203125 23955571250 24389156250 25369695975 27641043750 28752322105 29272726125 30443635170 31084218750 31705903125 32525251250 33175756275 34502786526 35228781250 35933356875 37599190445 39810907530 40648593750 41461565625 42282826625 43120028250 45119028534 46068406250 46626328125 48787876875 50739391950 51754179789 52843171875 55292927125 57504644210 58545452250 59888928125 60972890625 63411806250 66351512550 67678542801 69102609375 71866713750 75198380890 76109087925 81313128125 82923131250 84565653250 86256966315 88071953125 93252656250 97575753750 97757895157 99527268825 103508359578 105686343750 107800070625 110585854250 112797571335 115171015625 119777856250 121945781250 126848479875 135357085602 138205218750 143761610525 146363630625 152218175850 158529515625 162626256250 165878781375 172513932630 176143906250 179666784375 187995952225 195515790314 199054537650 207307828125 211414133125 215600141250 225595142670 230342031250 243939384375 253696959750 258770898945 264215859375 276464635625 287523221050 292727261250 293273685471 299444640625 317059031250 331757562750 338392714005 345513046875 359333568750 375991904450 380545439625 406565640625 414615656250 422828266250 431284831575 487878768750 488789475785 497636344125 517541797890 528431718750 539000353125 552929271250 563987856675 586547370942 598889281250 634242399375 676785428010 691026093750 718808052625 731818153125 761090879250 792647578125 813131281250 829393906875 862569663150 879821056413 898333921875 939979761125 977578951570 995272688250 1036539140625 1057070665625 1078000706250 1127975713350 1219696921875 1268484798750 1293854494725 1382323178125 1437616105250 1463636306250 1466368427355 1497223203125 1585295156250 1658787813750 1691963570025 1759642112826 1796667843750 1879959522250 1902727198125 2032828203125 2073078281250 2114141331250 2156424157875 2439393843750 2443947378925 2488181720625 2587708989450 2695001765625 2764646356250 2819939283375 2932736854710 2994446406250 3171211996875 3383927140050 3594040263125 3659090765625 3805454396250 4065656406250 4146969534375 4312848315750 4399105282065 4491669609375 4699898805625 4887894757850 4976363441250 5285353328125 5390003531250 5639878566750 6098484609375 6342423993750 6469272473625 6911615890625 7188080526250 7318181531250 7331842136775 8293939068750 8459817850125 8798210564130 8983339218750 9399797611250 9513635990625 10570706656250 10782120789375 12196969218750 12219736894625 12440908603125 12938544947250 13475008828125 13823231781250 14099696416875 14663684273550 15856059984375 16919635700250 17970201315625 18295453828125 19027271981250 20734847671875 21564241578750 21995526410325 23499494028125 24439473789250 24881817206250 26426766640625 26950017656250 28199392833750 31712119968750 32346362368125 34558079453125 35940402631250 36590907656250 36659210683875 41469695343750 42299089250625 43991052820650 46998988056250 47568179953125 52853533281250 53910603946875 61098684473125 62204543015625 64692724736250 69116158906250 70498482084375 73318421367750 79280299921875 84598178501250 89851006578125 95136359906250 103674238359375 107821207893750 109977632051625 117497470140625 122197368946250 124409086031250 140996964168750 158560599843750 161731811840625 179702013156250 183296053419375 207348476718750 211495446253125 219955264103250 234994940281250 237840899765625 269553019734375 305493422365625 311022715078125 323463623681250 352492410421875 366592106838750 422990892506250 449255032890625 475681799531250 539106039468750 549888160258125 587487350703125 610986844731250 622045430156250 704984820843750 808659059203125 898510065781250 916480267096875 1057477231265625 1099776320516250 1174974701406250 1347765098671875 1527467111828125 1617318118406250 1762462052109375 1832960534193750 2114954462531250 2695530197343750 2749440801290625 3054934223656250 3524924104218750 4043295296015625 4582401335484375 5287386156328125 5498881602581250 7637335559140625 8086590592031250 9164802670968750 10574772312656250 13747204006453125 15274671118281250 22912006677421875 27494408012906250 45824013354843750 68736020032265625 137472040064531250
- Sum of all divisors σ(n): 426015837078891696
- Sum of proper divisors (its aliquot sum) s(n): 288543797014360446
- 137472040064531250 is an abundant number, because the sum of its proper divisors (288543797014360446) is greater than itself. Its abundance is 151071756949829196
Bases of 137472040064531250
- Binary: 1111010000110011000010111100100101001100000111011001100102
- Hexadecimal: 0x1E8661792983B32
- Base-36: 11LLRRCVJ48I
Squares and roots of 137472040064531250
- 137472040064531250 squared (1374720400645312502) is 18898561799504085166664282226562500
- 137472040064531250 cubed (1374720400645312503) is 2598023844863445392319326868732593524932861328125000
-
The
square root of 137472040064531250 is 370772221.2687073059 -
The
cube root of 137472040064531250 is 516105.0705257811
Scales and comparisons
How big is 137472040064531250?- 137,472,040,064,531,250 seconds is equal to 4,371,185,645 years, 5 weeks, 5 days, 23 hours, 7 minutes, 30 seconds.
-
To count from 1 to 137,472,040,064,531,250 would take you about thirteen billion, one hundred thirteen million, five hundred fifty-six thousand, nine hundred thirty-five 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 137472040064531250 cubic inches would be around 43008.8 feet tall.
Recreational maths with 137472040064531250
- 137472040064531250 backwards is 052135460040274731
- The number of decimal digits it has is: 18
- The sum of 137472040064531250's digits is 54
- More coming soon!
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The information we have on file for 137472040064531250 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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