137385145786944
137,385,145,786,944 is an even composite number composed of eight prime numbers multiplied together.
137385145786944 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137385145786944:
26 × 3 × 11 × 23 × 61 × 127 × 181 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23 × 61 × 127 × 181 × 2017)See below for interesting mathematical facts about the number 137385145786944 from the Numbermatics database.
Names of 137385145786944
- Cardinal: 137385145786944 can be written as One hundred thirty-seven trillion, three hundred eighty-five billion, one hundred forty-five million, seven hundred eighty-six thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.37385145786944 × 1014
Factors of 137385145786944
Divisors of 137385145786944
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 61 64 66 69 88 92 96 122 127 132 138 176 181 183 184 192 244 253 254 264 276 352 362 366 368 381 488 506 508 528 543 552 671 704 724 732 736 759 762 976 1012 1016 1056 1086 1104 1342 1397 1403 1448 1464 1472 1518 1524 1952 1991 2013 2017 2024 2032 2112 2172 2208 2684 2794 2806 2896 2921 2928 3036 3048 3904 3982 4026 4034 4048 4064 4163 4191 4209 4344 4416 5368 5588 5612 5792 5842 5856 5973 6051 6072 6096 7747 7964 8052 8068 8096 8128 8326 8382 8418 8688 8763 10736 11041 11176 11224 11584 11684 11712 11946 12102 12144 12192 12489 15433 15494 15928 16104 16136 16192 16652 16764 16836 17376 17526 21472 22082 22187 22352 22448 22987 23241 23368 23892 24204 24288 24384 24978 30866 30988 31856 32131 32208 32272 33123 33304 33528 33672 34752 35052 42944 44164 44374 44704 44896 45793 45974 46299 46391 46482 46736 47784 48408 48576 49956 61732 61976 63712 64262 64416 64544 66246 66561 66608 67056 67344 68961 70104 85217 88328 88748 89408 89792 91586 91948 92598 92782 92964 93472 95568 96393 96816 99912 121451 123037 123464 123952 127424 128524 128832 129088 132492 133122 133216 134112 134688 137379 137922 139173 140208 170434 176656 177496 178181 183172 183896 185196 185564 185928 186944 191136 192786 193632 199824 242902 246074 246928 247904 252857 253943 255651 256159 257048 264984 266244 266432 268224 269376 274758 275844 278346 280416 340868 353312 354992 356362 364353 365077 366344 367792 369111 370392 371128 371856 382272 385572 387264 399648 485804 492148 493856 495808 505714 507886 510301 511302 512318 514096 528701 529968 532488 534543 549516 551688 556692 560832 681736 706624 709984 712724 728706 730154 732688 735584 738222 740784 742256 743712 758571 761829 768477 771144 799296 971608 984296 987712 1011428 1015772 1020602 1022604 1024636 1028192 1057402 1059936 1064976 1069086 1095231 1099032 1103376 1113384 1353407 1363472 1402207 1419968 1425448 1457412 1460308 1465376 1471168 1476444 1481568 1484512 1487424 1517142 1523658 1530903 1536954 1542288 1586103 1943216 1959991 1968592 2022856 2031544 2041204 2045208 2049272 2056384 2114804 2119872 2129952 2138172 2190462 2198064 2206752 2226768 2706814 2726944 2793373 2804414 2817749 2829851 2850896 2914824 2920616 2930752 2952888 2963136 2969024 3034284 3047316 3061806 3073908 3084576 3172206 3886432 3919982 3937184 4015847 4045712 4060221 4063088 4082408 4090416 4098544 4206621 4229608 4259904 4276344 4380924 4396128 4413504 4453536 5413628 5453888 5586746 5608828 5635498 5659702 5701792 5815711 5829648 5841232 5879973 5891657 5905776 6068568 6094632 6123612 6147816 6169152 6344412 7772864 7839964 7874368 8031694 8091424 8120442 8126176 8164816 8180832 8197088 8380119 8396771 8413242 8453247 8459216 8489553 8552688 8761848 8792256 8907072 10827256 11173492 11217656 11270996 11319404 11403584 11631422 11659296 11682464 11759946 11783314 11811552 12047541 12137136 12189264 12247224 12295632 12688824 15424277 15625699 15679928 16063388 16182848 16240884 16252352 16329632 16361664 16394176 16760238 16793542 16826484 16906494 16918432 16979106 17105376 17447133 17523696 17674971 21654512 22269697 22346984 22435312 22541992 22638808 23262844 23318592 23364928 23519892 23566628 23623104 24095082 24274272 24378528 24494448 24591264 25190313 25377648 30848554 31128361 31251398 31359856 32126776 32250761 32481768 32659264 33520476 33587084 33652968 33812988 33836864 33958212 34210752 34894266 35047392 35349942 43309024 44539394 44693968 44870624 45083984 45277616 46272831 46364779 46525688 46877097 47039784 47133256 48190164 48548544 48757056 48988896 49182528 50380626 50755296 61697108 62256722 62502796 62719712 64253552 64501522 64808227 64963536 66809091 67040952 67174168 67305936 67625976 67916424 69788532 70094784 70699884 86618048 89078788 89387936 89741248 90167968 90555232 92364481 92545662 92729558 93051376 93385083 93754194 94079568 94266512 96380328 96752283 97977792 100761252 101510592 123394216 124513444 125005592 125439424 128507104 129003044 129616454 129927072 133618182 134081904 134348336 134611872 135251952 135832848 139094337 139577064 141399768 171882689 178157576 178775872 180335936 181110464 184728962 185091324 185459116 186102752 186770166 187508388 188159136 188533024 192760656 193504566 194424681 201522504 244966667 246788432 249026888 250011184 257014208 258006088 259232908 259854144 267236364 268163808 268696672 269223744 270503904 271665696 277093443 278188674 279154128 282799536 343765378 354758371 356315152 359391077 369457924 370182648 370918232 372205504 373540332 375016776 376318272 377066048 385521312 387009132 388849362 403045008 489933334 493576864 498053776 500022368 510012569 512203031 515648067 516012176 518465816 534472728 536327616 537393344 541007808 543331392 554186886 556377348 558308256 565599072 687530756 709516742 712630304 718782154 734900001 738915848 740365296 741836464 747080664 750033552 771042624 774018264 777698724 806090016 979866668 987153728 996107552 1000044736 1020025138 1024406062 1031296134 1032024352 1036931632 1064275113 1066389917 1068945456 1078173231 1108373772 1112754696 1116616512 1131198144 1375061512 1419033484 1425260608 1437564308 1469800002 1477831696 1480730592 1483672928 1494161328 1500067104 1530037707 1536609093 1548036528 1555397448 1612180032 1959733336 1992215104 2040050276 2048812124 2062592268 2064048704 2073863264 2128550226 2132779834 2137890912 2156346462 2216747544 2225509392 2750123024 2828251519 2838066968 2875128616 2939600004 2955663392 2961461184 2967345856 2988322656 3000134208 3060075414 3073218186 3096073056 3110794896 3199169751 3919466672 3953301847 4080100552 4097624248 4125184536 4147726528 4257100452 4265559668 4275781824 4312692924 4433495088 4451018784 5500246048 5634233341 5656503038 5676133936 5750257232 5879200008 5911326784 5976645312 6120150828 6146436372 6192146112 6221589792 6398339502 7838933344 7906603694 8160201104 8195248496 8250369072 8484754557 8514200904 8531119336 8625385848 8866990176 8902037568 11000492096 11268466682 11313006076 11352267872 11500514464 11730289087 11758400016 11859905541 12240301656 12292872744 12443179584 12796679004 15677866688 15813207388 16320402208 16390496992 16500738144 16902700023 16969509114 17028401808 17062238672 17250771696 17733980352 22536933364 22626012152 22704535744 23001028928 23460578174 23516800032 23719811082 24480603312 24585745488 25593358008 31110766709 31626414776 32640804416 32780993984 33001476288 33805400046 33939018228 34056803616 34124477344 34501543392 35190867261 45073866728 45252024304 46921156348 47033600064 47439622164 48961206624 49171490976 51186716016 62221533418 63252829552 65049784937 67610800092 67878036456 68113607232 68248954688 69003086784 70381734522 90147733456 90504048608 93332300127 93842312696 94879244328 97922413248 98342981952 102373432032 124443066836 126505659104 130099569874 135221600184 135756072912 140763469044 180295466912 181008097216 186664600254 187684625392 189758488656 195149354811 204746864064 248886133672 253011318208 260199139748 270443200368 271512145824 281526938088 360590933824 373329200508 375369250784 379516977312 390298709622 497772267344 520398279496 540886400736 543024291648 563053876176 715547634307 746658401016 750738501568 759033954624 780597419244 995544534688 1040796558992 1081772801472 1126107752352 1431095268614 1493316802032 1561194838488 1991089069376 2081593117984 2146642902921 2252215504704 2862190537228 2986633604064 3122389676976 4163186235968 4293285805842 5724381074456 5973267208128 6244779353952 8586571611684 11448762148912 12489558707904 17173143223368 22897524297824 34346286446736 45795048595648 68692572893472 137385145786944
- Sum of all divisors σ(n): 426432610566144
- Sum of proper divisors (its aliquot sum) s(n): 289047464779200
- 137385145786944 is an abundant number, because the sum of its proper divisors (289047464779200) is greater than itself. Its abundance is 151662318992256
Bases of 137385145786944
- Binary: 111110011110011011110001100111111100010010000002
- Hexadecimal: 0x7CF378CFE240
- Base-36: 1CP5V4MEDC
Squares and roots of 137385145786944
- 137385145786944 squared (1373851457869442) is 18874678282899856713040859136
- 137385145786944 cubed (1373851457869443) is 2593100427577862661658686664511160571920384
-
The
square root of 137385145786944 is 11721140.9763275179 -
The
cube root of 137385145786944 is 51599.6306519321
Scales and comparisons
How big is 137385145786944?- 137,385,145,786,944 seconds is equal to 4,368,422 years, 35 weeks, 1 day, 22 minutes, 24 seconds.
-
To count from 1 to 137,385,145,786,944 would take you about ten million, nine hundred twenty-one thousand and fifty-six 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 137385145786944 cubic inches would be around 4300 feet tall.
Recreational maths with 137385145786944
- 137385145786944 backwards is 449687541583731
- The number of decimal digits it has is: 15
- The sum of 137385145786944's digits is 75
- More coming soon!
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"Number 137385145786944 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137385145786944 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137385145786944/
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The information we have on file for 137385145786944 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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