137385945607680
137,385,945,607,680 is an even composite number composed of six prime numbers multiplied together.
137385945607680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 137385945607680:
29 × 35 × 5 × 72 × 112 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 193 × 193)See below for interesting mathematical facts about the number 137385945607680 from the Numbermatics database.
Names of 137385945607680
- Cardinal: 137385945607680 can be written as One hundred thirty-seven trillion, three hundred eighty-five billion, nine hundred forty-five million, six hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3738594560768 × 1014
Factors of 137385945607680
Divisors of 137385945607680
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 49 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 98 99 105 108 110 112 120 121 126 128 132 135 140 144 147 154 160 162 165 168 176 180 189 192 193 196 198 210 216 220 224 231 240 242 243 245 252 256 264 270 280 288 294 297 308 315 320 324 330 336 352 360 363 378 384 385 386 392 396 405 420 432 440 441 448 462 480 484 486 490 495 504 512 528 539 540 560 567 576 579 588 594 605 616 630 640 648 660 672 693 704 720 726 735 756 768 770 772 784 792 810 840 847 864 880 882 891 896 924 945 960 965 968 972 980 990 1008 1056 1078 1080 1089 1120 1134 1152 1155 1158 1176 1188 1210 1215 1232 1260 1280 1296 1320 1323 1344 1351 1386 1408 1440 1452 1470 1485 1512 1536 1540 1544 1568 1584 1617 1620 1680 1694 1701 1728 1737 1760 1764 1782 1792 1815 1848 1890 1920 1930 1936 1944 1960 1980 2016 2079 2112 2123 2156 2160 2178 2205 2240 2268 2304 2310 2316 2352 2376 2420 2430 2464 2520 2541 2560 2592 2640 2646 2673 2688 2695 2702 2772 2816 2835 2880 2895 2904 2940 2970 3024 3080 3088 3136 3168 3234 3240 3267 3360 3388 3402 3456 3465 3474 3520 3528 3564 3584 3630 3696 3780 3840 3860 3872 3888 3920 3960 3969 4032 4053 4158 4224 4235 4246 4312 4320 4356 4410 4455 4480 4536 4608 4620 4632 4704 4752 4840 4851 4860 4928 5040 5082 5184 5211 5280 5292 5346 5376 5390 5404 5445 5544 5632 5670 5760 5790 5808 5880 5929 5940 6048 6160 6176 6237 6272 6336 6369 6468 6480 6534 6615 6720 6755 6776 6804 6912 6930 6948 7040 7056 7128 7260 7392 7560 7623 7680 7720 7744 7776 7840 7920 7938 8064 8085 8106 8316 8448 8470 8492 8505 8624 8640 8685 8712 8820 8910 8960 9072 9240 9264 9408 9457 9504 9680 9702 9720 9801 9856 10080 10164 10368 10395 10422 10560 10584 10615 10692 10752 10780 10808 10890 11088 11340 11520 11580 11616 11760 11858 11880 11907 12096 12159 12320 12352 12474 12544 12672 12705 12738 12936 12960 13068 13230 13365 13440 13510 13552 13608 13824 13860 13896 14080 14112 14256 14520 14553 14784 14861 15120 15246 15440 15488 15552 15633 15680 15840 15876 16128 16170 16212 16335 16632 16896 16940 16984 17010 17248 17280 17370 17424 17640 17787 17820 17920 18144 18480 18528 18711 18816 18914 19008 19107 19360 19404 19440 19602 19712 19845 20160 20265 20328 20736 20790 20844 21120 21168 21230 21384 21560 21616 21780 22176 22680 22869 23040 23160 23232 23353 23520 23716 23760 23814 24192 24255 24318 24640 24704 24948 25088 25344 25410 25476 25872 25920 26055 26136 26460 26730 26880 27020 27104 27216 27720 27792 28160 28224 28371 28512 29040 29106 29403 29568 29645 29722 30240 30492 30880 30976 31104 31185 31266 31360 31680 31752 31845 32256 32340 32424 32670 33264 33880 33968 34020 34496 34560 34740 34848 35280 35574 35640 36288 36477 36960 37056 37249 37422 37632 37828 38016 38115 38214 38720 38808 38880 39204 39424 39690 40320 40530 40656 41472 41580 41688 42240 42336 42460 42768 43120 43232 43560 43659 44352 44583 45360 45738 46320 46464 46706 46899 47040 47285 47432 47520 47628 48384 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7301548980 7342522880 7415044560 7434304416 7571976720 7666626429 7709649024 7723952640 7788318912 7884868320 7909380864 7950575556 7965326160 8076775168 8089139520 8110150272 8131270455 8260338240 8410526208 8474336640 8496347904 8518473810 8653687680 8673355152 8761858776 8788200960 8833972840 8870476860 8898053472 9011278080 9086372064 9244730880 9292880520 9440386560 9461841984 9637061280 9735398640 9757524546 9886726080 9912405888 9938219445 10095968960 10137687840 10169203968 10222168572 10279532032 10384425216 10513157760 10600767408 10620434880 10785519360 10813533696 10841693940 10952323470 11013784320 11122566840 11151456624 11299115520 11357965080 11538250240 11564473536 11585928960 11682478368 11827302480 11864071296 11925863334 12115162752 12390507360 12615789312 12711504960 12744521856 12777710715 12849415040 12942623232 12980531520 13010032728 13182301440 13216541184 13250959260 13516917120 13629558096 13939320780 14017543680 14134356544 14160579840 14192762976 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30666505716 30838596096 31153275648 31539473280 31802302224 31861304640 32356558080 32440601088 32525081820 33041352960 33897346560 34073895240 34614750720 34693420608 35047435104 35335891360 35481907440 35592213888 35777590002 36345488256 37171522080 37847367936 38333132145 38548245120 38941594560 39030098184 39546904320 39649623552 39752877780 40383875840 40550751360 40888674288 42052631040 42403069632 42481739520 43366775760 43809293880 44490267360 44605826496 45431860320 46257894144 46729913472 47309209920 47456285184 47703453336 48460651008 48787622730 49562029440 50846019840 50978087424 51110842860 51397660160 51922126080 52040130912 53003837040 53666385003 54067668480 54518232384 55757283120 56537426176 56771051904 57822367680 58412391840 59320356480 59474435328 59629316670 60575813760 61333011432 62306551296 63078946560 63604604448 63722609280 64713116160 65050163640 66082705920 68147790480 69386841216 70094870208 70671782720 70963814880 71184427776 71555180004 72690976512 74343044160 75694735872 76666264290 77096490240 77883189120 78060196368 79093808640 79505755560 80767751680 81101502720 81777348576 84806139264 84963479040 86733551520 87618587760 88980534720 89211652992 89443975005 90863720640 92515788288 93459826944 94618419840 95406906672 97575245460 99124058880 101692039680 102221685720 103844252160 104080261824 106007674080 107332770006 109036464768 111514566240 113074852352 113542103808 115644735360 116824783680 118640712960 118948870656 119258633340 121151627520 122666022864 126157893120 127209208896 127445218560 130100327280 136295580960 138773682432 140189740416 141343565440 141927629760 142368855552 143110360008 145381953024 148686088320 153332528580 154192980480 155766378240 156120392736 159011511120 162203005440 163554697152 169612278528 173467103040 175237175520 177961069440 178423305984 178887950010 181727441280 186919653888 189236839680 190813813344 195150490920 198248117760 204443371440 208160523648 212015348160 214665540012 218072929536 223029132480 227084207616 231289470720 233649567360 237281425920 238517266680 242303255040 245332045728 254418417792 254890437120 260200654560 268331925015 272591161920 277547364864 280379480832 282687130880 283855259520 286220720016 297372176640 306665057160 311532756480 312240785472 318023022240 327109394304 339224557056 346934206080 350474351040 355922138880 356846611968 357775900020 363454882560 378473679360 381627626688 390300981840 408886742880 416321047296 424030696320 429331080024 436145859072 446058264960 462578941440 467299134720 477034533360 490664091456 508836835584 520401309120 536663850030 545182323840 560758961664 565374261760 567710519040 572441440032 594744353280 613330114320 624481570944 636046044480 654218788608 693868412160 700948702080 711844277760 715551800040 726909765120 763255253376 780601963680 817773485760 832642094592 848061392640 858662160048 892116529920 934598269440 954069066720 981328182912 1017673671168 1040802618240 1073327700060 1090364647680 1135421038080 1144882880064 1226660228640 1248963141888 1272092088960 1308437577216 1387736824320 1401897404160 1431103600080 1526510506752 1561203927360 1635546971520 1696122785280 1717324320096 1784233059840 1908138133440 1962656365824 2081605236480 2146655400120 2180729295360 2289765760128 2453320457280 2497926283776 2544184177920 2803794808320 2862207200160 3053021013504 3122407854720 3271093943040 3434648640192 3816276266880 3925312731648 4163210472960 4293310800240 4579531520256 4906640914560 5088368355840 5724414400320 6244815709440 6542187886080 6869297280384 7632552533760 8586621600480 9159063040512 9813281829120 11448828800640 12489631418880 13738594560768 15265105067520 17173243200960 19626563658240 22897657601280 27477189121536 34346486401920 45795315202560 68692972803840 137385945607680
- Sum of all divisors σ(n): 634198780070856
- Sum of proper divisors (its aliquot sum) s(n): 496812834463176
- 137385945607680 is an abundant number, because the sum of its proper divisors (496812834463176) is greater than itself. Its abundance is 359426888855496
Bases of 137385945607680
- Binary: 111110011110011101010000111110000101110000000002
- Hexadecimal: 0x7CF3A87C2E00
- Base-36: 1CP68CTC00
Squares and roots of 137385945607680
- 137385945607680 squared (1373859456076802) is 18874898050516407484474982400
- 137385945607680 cubed (1373859456076803) is 2593145716918752427597478786048125304832000
-
The
square root of 137385945607680 is 11721175.0950013541 -
The
cube root of 137385945607680 is 51599.7307849665
Scales and comparisons
How big is 137385945607680?- 137,385,945,607,680 seconds is equal to 4,368,448 years, 5 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 137,385,945,607,680 would take you about ten million, nine hundred twenty-one thousand, one hundred twenty 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 137385945607680 cubic inches would be around 4300 feet tall.
Recreational maths with 137385945607680
- 137385945607680 backwards is 086706549583731
- 137385945607680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137385945607680's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 137385945607680 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 137385945607680 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/137385945607680/
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Numbermatics. 2024. "Number 137385945607680 - Facts about the integer". https://numbermatics.com/n/137385945607680/
The information we have on file for 137385945607680 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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