13688424360960
13,688,424,360,960 is an even composite number composed of seven prime numbers multiplied together.
13688424360960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 13688424360960:
210 × 3 × 5 × 31 × 61 × 151 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 61 × 151 × 3121)See below for interesting mathematical facts about the number 13688424360960 from the Numbermatics database.
Names of 13688424360960
- Cardinal: 13688424360960 can be written as Thirteen trillion, six hundred eighty-eight billion, four hundred twenty-four million, three hundred sixty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.368842436096 × 1013
Factors of 13688424360960
Divisors of 13688424360960
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 61 62 64 80 93 96 120 122 124 128 151 155 160 183 186 192 240 244 248 256 302 305 310 320 366 372 384 453 465 480 488 496 512 604 610 620 640 732 744 755 768 906 915 930 960 976 992 1024 1208 1220 1240 1280 1464 1488 1510 1536 1812 1830 1860 1891 1920 1952 1984 2265 2416 2440 2480 2560 2928 2976 3020 3072 3121 3624 3660 3720 3782 3840 3904 3968 4530 4681 4832 4880 4960 5120 5673 5856 5952 6040 6242 7248 7320 7440 7564 7680 7808 7936 9060 9211 9362 9363 9455 9664 9760 9920 11346 11712 11904 12080 12484 14043 14496 14640 14880 15128 15360 15605 15616 15872 18120 18422 18724 18726 18910 19328 19520 19840 22692 23405 23424 23808 24160 24968 27633 28086 28365 28992 29280 29760 30256 31210 31232 31744 36240 36844 37448 37452 37820 38656 39040 39680 45384 46055 46810 46815 46848 47616 48320 49936 55266 56172 56730 57984 58560 59520 60512 62420 62464 70215 72480 73688 74896 74904 75640 77312 78080 79360 90768 92110 93620 93630 93696 95232 96640 96751 99872 110532 112344 113460 115968 117120 119040 121024 124840 138165 140430 144960 147376 149792 149808 151280 154624 156160 158720 181536 184220 187240 187260 187392 190381 193280 193502 199744 221064 224688 226920 231936 234240 238080 242048 249680 276330 280860 285541 289920 290253 294752 299584 299616 302560 312320 363072 368440 374480 374520 380762 386560 387004 399488 442128 449376 453840 463872 468480 471271 476160 483755 484096 499360 552660 561720 571082 571143 579840 580506 589504 599168 599232 605120 726144 736880 748960 749040 761524 773120 774008 798976 856623 884256 898752 907680 936960 942542 951905 967510 968192 998720 1105320 1123440 1142164 1142286 1159680 1161012 1179008 1198336 1198464 1210240 1413813 1427705 1451265 1452288 1473760 1497920 1498080 1523048 1548016 1597952 1713246 1768512 1797504 1815360 1885084 1903810 1935020 1936384 1997440 2210640 2246880 2284328 2284572 2319360 2322024 2356355 2358016 2396672 2396928 2420480 2827626 2855410 2855715 2902530 2904576 2947520 2995840 2996160 3046096 3096032 3195904 3426492 3537024 3595008 3630720 3770168 3807620 3870040 3994880 4283115 4421280 4493760 4568656 4569144 4644048 4712710 4716032 4793344 4793856 4840960 5655252 5710820 5711430 5805060 5809152 5895040 5901811 5991680 5992320 6092192 6192064 6852984 7069065 7074048 7190016 7261440 7540336 7615240 7740080 7989760 8566230 8842560 8987520 9137312 9138288 9288096 9425420 9432064 9587712 9681920 11310504 11421640 11422860 11610120 11790080 11803622 11983360 11984640 12184384 12384128 13705968 14138130 14148096 14380032 14522880 14609401 15080672 15230480 15480160 15979520 17132460 17685120 17705433 17975040 18274624 18276576 18576192 18850840 22621008 22843280 22845720 23220240 23580160 23607244 23966720 23969280 24368768 24768256 27411936 28276260 28296192 28747531 29045760 29218802 29509055 30161344 30460960 30960320 34264920 35370240 35410866 35950080 36549248 36553152 37152384 37701680 43828203 45242016 45686560 45691440 46440480 47160320 47214488 47938560 48737536 49536512 54823872 56552520 57495062 58437604 59018110 60322688 60921920 61920640 68529840 70740480 70821732 71900160 73047005 73098496 73106304 74304768 75403360 86242593 87656406 88527165 90484032 91373120 91382880 92880960 94428976 97475072 99073024 109647744 113105040 114990124 116875208 118036220 120645376 121843840 123841280 137059680 141480960 141643464 143737655 146094010 146196992 146212608 148609536 150806720 172485186 175312812 177054330 180968064 182746240 182765760 185761920 188857952 194950144 219141015 219295488 226210080 229980248 233750416 236072440 241290752 243687680 247682560 274119360 283286928 287475310 292188020 292393984 292425216 297219072 301613440 344970372 350625624 354108660 361936128 365492480 365531520 371523840 377715904 431212965 438282030 438590976 452420160 459960496 467500832 472144880 482581504 487375360 495365120 548238720 566573856 574950620 584376040 584850432 603226880 689940744 701251248 708217320 723872256 730984960 731063040 743047680 755431808 862425930 876564060 877181952 891173461 904840320 919920992 935001664 944289760 974750720 1096477440 1133147712 1149901240 1168752080 1206453760 1379881488 1402502496 1416434640 1447744512 1461969920 1462126080 1486095360 1510863616 1724851860 1753128120 1782346922 1809680640 1839841984 1870003328 1888579520 2192954880 2266295424 2299802480 2337504160 2412907520 2673520383 2759762976 2805004992 2832869280 2924252160 3021727232 3449703720 3506256240 3564693844 3619361280 3679683968 3740006656 3777159040 4385909760 4455867305 4532590848 4599604960 4675008320 5347040766 5519525952 5610009984 5665738560 6043454464 6899407440 7012512480 7129387688 7238722560 7359367936 7480013312 7554318080 8911734610 9065181696 9199209920 9350016640 10694081532 11039051904 11220019968 11331477120 13367601915 13798814880 14025024960 14258775376 14718735872 14960026624 15108636160 17823469220 18130363392 18398419840 18700033280 21388163064 22078103808 22440039936 22662954240 26735203830 27597629760 28050049920 28517550752 29437471744 30217272320 35646938440 36796839680 37400066560 42776326128 44156207616 44880079872 45325908480 53470407660 55195259520 56100099840 57035101504 71293876880 73593679360 74800133120 85552652256 88312415232 90651816960 106940815320 110390519040 112200199680 114070203008 142587753760 147187358720 171105304512 213881630640 220781038080 224400399360 228140406016 285175507520 342210609024 427763261280 441562076160 456280812032 570351015040 684421218048 855526522560 912561624064 1140702030080 1368842436096 1711053045120 2281404060160 2737684872192 3422106090240 4562808120320 6844212180480 13688424360960
- Sum of all divisors σ(n): 46253780901888
- Sum of proper divisors (its aliquot sum) s(n): 32565356540928
- 13688424360960 is an abundant number, because the sum of its proper divisors (32565356540928) is greater than itself. Its abundance is 18876932179968
Bases of 13688424360960
- Binary: 110001110011000101011010101111101100000000002
- Hexadecimal: 0xC7315ABEC00
- Base-36: 4UODIFU2O
Squares and roots of 13688424360960
- 13688424360960 squared (136884243609602) is 187372961485723184372121600
- 13688424360960 cubed (136884243609603) is 2564840610586393072202414871319412736000
-
The
square root of 13688424360960 is 3699787.0696784701 -
The
cube root of 13688424360960 is 23921.2839823363
Scales and comparisons
How big is 13688424360960?- 13,688,424,360,960 seconds is equal to 435,249 years, 28 weeks, 5 days, 12 hours, 16 minutes.
-
To count from 1 to 13,688,424,360,960 would take you about one million, eighty-eight thousand, one hundred twenty-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 13688424360960 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688424360960
- 13688424360960 backwards is 06906342488631
- 13688424360960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13688424360960's digits is 60
- More coming soon!
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