138638957049600
138,638,957,049,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138638957049600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138638957049600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138638957049600:
28 × 3 × 52 × 72 × 732 × 27653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 73 × 73 × 27653)See below for interesting mathematical facts about the number 138638957049600 from the Numbermatics database.
Names of 138638957049600
- Cardinal: 138638957049600 can be written as One hundred thirty-eight trillion, six hundred thirty-eight billion, nine hundred fifty-seven million, forty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.386389570496 × 1014
Factors of 138638957049600
Divisors of 138638957049600
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 73 75 80 84 96 98 100 105 112 120 128 140 146 147 150 160 168 175 192 196 200 210 219 224 240 245 256 280 292 294 300 320 336 350 365 384 392 400 420 438 448 480 490 511 525 560 584 588 600 640 672 700 730 735 768 784 800 840 876 896 960 980 1022 1050 1095 1120 1168 1176 1200 1225 1280 1344 1400 1460 1470 1533 1568 1600 1680 1752 1792 1825 1920 1960 2044 2100 2190 2240 2336 2352 2400 2450 2555 2688 2800 2920 2940 3066 3136 3200 3360 3504 3577 3650 3675 3840 3920 4088 4200 4380 4480 4672 4704 4800 4900 5110 5329 5376 5475 5600 5840 5880 6132 6272 6400 6720 7008 7154 7300 7350 7665 7840 8176 8400 8760 8960 9344 9408 9600 9800 10220 10658 10731 10950 11200 11680 11760 12264 12544 12775 13440 14016 14308 14600 14700 15330 15680 15987 16352 16800 17520 17885 18688 18816 19200 19600 20440 21316 21462 21900 22400 23360 23520 24528 25550 26645 26880 27653 28032 28616 29200 29400 30660 31360 31974 32704 33600 35040 35770 37303 37632 38325 39200 40880 42632 42924 43800 44800 46720 47040 49056 51100 53290 53655 55306 56064 57232 58400 58800 61320 62720 63948 65408 67200 70080 71540 74606 76650 78400 79935 81760 82959 85264 85848 87600 89425 93440 94080 98112 102200 106580 107310 110612 111909 114464 116800 117600 122640 127896 130816 133225 134400 138265 140160 143080 149212 153300 156800 159870 163520 165918 170528 171696 175200 178850 186515 188160 193571 196224 204400 213160 214620 221224 223818 228928 233600 235200 245280 255792 261121 266450 268275 276530 280320 286160 298424 306600 313600 319740 327040 331836 341056 343392 350400 357700 373030 387142 392448 399675 408800 414795 426320 429240 442448 447636 457856 467200 470400 490560 511584 522242 532900 536550 553060 559545 572320 580713 596848 613200 639480 654080 663672 682112 686784 691325 700800 715400 746060 774284 783363 799350 817600 829590 852640 858480 884896 895272 915712 932575 940800 967855 981120 1023168 1044484 1065800 1073100 1106120 1119090 1144640 1161426 1193696 1226400 1278960 1305605 1327344 1354997 1364224 1373568 1382650 1401600 1430800 1492120 1548568 1566726 1598700 1635200 1659180 1705280 1716960 1769792 1790544 1865150 1935710 1962240 2018669 2046336 2073975 2088968 2131600 2146200 2212240 2238180 2289280 2322852 2387392 2452800 2557920 2611210 2654688 2709994 2747136 2765300 2797725 2861600 2903565 2984240 3097136 3133452 3197400 3270400 3318360 3410560 3433920 3539584 3581088 3730300 3871420 3916815 4037338 4064991 4092672 4147950 4177936 4263200 4292400 4424480 4476360 4578560 4645704 4774784 4839275 4905600 5115840 5222420 5309376 5419988 5530600 5595450 5723200 5807130 5968480 6056007 6194272 6266904 6394800 6528025 6636720 6774985 6821120 6867840 7079168 7162176 7460600 7742840 7833630 8074676 8129982 8295900 8355872 8526400 8584800 8848960 8952720 9291408 9549568 9678550 9811200 10093345 10231680 10444840 10618752 10839976 11061200 11190900 11446400 11614260 11936960 12112014 12388544 12533808 12789600 13056050 13273440 13549970 13735680 14130683 14324352 14517825 14921200 15485680 15667260 16149352 16259964 16591800 16711744 17052800 17169600 17697920 17905440 18582816 19357100 19584075 20186690 20324955 20463360 20889680 21237504 21679952 22122400 22381800 22892800 23228520 23873920 24224028 24777088 25067616 25579200 26112100 26546880 27099940 28261366 28648704 29035650 29842400 30280035 30971360 31334520 32298704 32519928 33183600 33423488 33874925 34105600 34339200 35395840 35810880 37165632 38714200 39168150 40373380 40649910 41779360 42392049 43359904 44244800 44763600 46457040 47747840 48448056 49554176 50135232 50466725 51158400 52224200 53093760 54199880 56522732 58071300 59684800 60560070 61942720 62669040 64597408 65039856 66367200 66846976 67749850 68678400 70653415 71621760 74331264 77428400 78336300 80746760 81299820 83558720 84784098 86719808 88489600 89527200 92914080 96896112 98914781 100270464 100933450 101624775 102316800 104448400 106187520 108399760 113045464 116142600 119369600 121120140 123885440 125338080 129194816 130079712 132734400 135499700 141306830 143243520 147362837 148662528 151400175 154856800 156672600 161493520 162599640 167117440 169568196 173439616 176979200 179054400 185828160 193792224 197829562 200540928 201866900 203249550 208896800 211960245 216799520 226090928 232285200 238739200 242240280 247770880 250676160 258389632 260159424 265468800 270999400 282613660 294725674 296744343 302800350 309713600 313345200 322987040 325199280 334234880 339136392 346879232 353267075 358108800 371656320 387584448 395659124 403733800 406499100 417793600 423920490 433599040 442088511 452181856 464570400 484480560 494573905 501352320 516779264 520318848 530937600 541998800 565227320 589451348 593488686 605600700 619427200 626690400 645974080 650398560 678272784 706534150 716217600 736814185 743312640 775168896 791318248 807467600 812998200 835587200 847840980 867198080 884177022 904363712 929140800 968961120 989147810 1002704640 1031539859 1040637696 1059801225 1083997600 1130454640 1178902696 1186977372 1211201400 1238854400 1253380800 1291948160 1300797120 1356545568 1413068300 1473628370 1483721715 1550337792 1582636496 1614935200 1625996400 1671174400 1695681960 1734396160 1768354044 1808727424 1858281600 1937922240 1978295620 2063079718 2119602450 2167995200 2210442555 2260909280 2357805392 2373954744 2422402800 2472869525 2506761600 2583896320 2601594240 2713091136 2826136600 2947256740 2967443430 3094619577 3165272992 3229870400 3251992800 3391363920 3536708088 3617454848 3684070925 3716563200 3875844480 3956591240 4126159436 4239204900 4335990400 4420885110 4521818560 4715610784 4747909488 4844805600 4945739050 5013523200 5157699295 5203188480 5426182272 5652273200 5894513480 5934886860 6189239154 6330545984 6459740800 6503985600 6782727840 7073416176 7220779013 7368141850 7418608575 7751688960 7913182480 8252318872 8478409800 8671980800 8841770220 9043637120 9431221568 9495818976 9689611200 9891478100 10315398590 10852364544 11052212775 11304546400 11789026960 11869773720 12378478308 12661091968 12919481600 13007971200 13565455680 14146832352 14441558026 14736283700 14837217150 15473097885 15826364960 16504637744 16956819600 17683540440 18087274240 18862443136 18991637952 19379222400 19782956200 20630797180 21662337039 22104425550 22609092800 23578053920 23739547440 24756956616 25322183936 25788496475 26015942400 27130911360 28293664704 28883116052 29472567400 29674434300 30946195770 31652729920 33009275488 33913639200 35367080880 36103895065 37724886272 37983275904 38758444800 39565912400 41261594360 43324674078 44208851100 45218185600 47156107840 47479094880 49513913232 51576992950 54261822720 56587329408 57766232104 58945134800 59348868600 61892391540 63305459840 66018550976 67827278400 70734161760 72207790130 75966551808 77365489425 79131824800 82523188720 86649348156 88417702200 90436371200 94312215680 94958189760 99027826464 103153985900 108311685195 113174658816 115532464208 117890269600 118697737200 123784783080 126610919680 132037101952 135654556800 141468323520 144415580260 154730978850 158263649600 165046377440 173298696312 176835404400 180519475325 188624431360 189916379520 198055652928 206307971800 216623370390 231064928416 235780539200 237395474400 247569566160 264074203904 271309113600 282936647040 288831160520 309461957700 316527299200 330092754880 346597392624 353670808800 361038950650 379832759040 396111305856 412615943600 433246740780 462129856832 471561078400 474790948800 495139132320 541558425975 565873294080 577662321040 618923915400 633054598400 660185509760 693194785248 707341617600 722077901300 792222611712 825231887200 866493481560 924259713664 943122156800 949581897600 990278264640 1083116851950 1155324642080 1237847830800 1320371019520 1386389570496 1414683235200 1444155802600 1650463774400 1732986963120 1848519427328 1899163795200 1980556529280 2166233703900 2310649284160 2475695661600 2772779140992 2829366470400 2888311605200 3300927548800 3465973926240 3961113058560 4332467407800 4621298568320 4951391323200 5545558281984 5776623210400 6601855097600 6931947852480 8664934815600 9242597136640 9902782646400 11553246420800 13863895704960 17329869631200 19805565292800 23106492841600 27727791409920 34659739262400 46212985683200 69319478524800 138638957049600
- Sum of all divisors σ(n): 539647745474376
- Sum of proper divisors (its aliquot sum) s(n): 401008788424776
- 138638957049600 is an abundant number, because the sum of its proper divisors (401008788424776) is greater than itself. Its abundance is 262369831375176
Bases of 138638957049600
- Binary: 111111000010111011001011100100101110111000000002
- Hexadecimal: 0x7E1765C97700
- Base-36: 1D55UVH4AO
Squares and roots of 138638957049600
- 138638957049600 squared (1386389570496002) is 19220760411800833536860160000
- 138638957049600 cubed (1386389570496003) is 2664746177192307769706234980681383936000000
-
The
square root of 138638957049600 is 11774504.5352065663 -
The
cube root of 138638957049600 is 51756.1259272709
Scales and comparisons
How big is 138638957049600?- 138,638,957,049,600 seconds is equal to 4,408,289 years, 51 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,638,957,049,600 would take you about eleven million, twenty thousand, seven hundred twenty-four 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 138638957049600 cubic inches would be around 4313 feet tall.
Recreational maths with 138638957049600
- 138638957049600 backwards is 006940759836831
- The number of decimal digits it has is: 15
- The sum of 138638957049600's digits is 69
- More coming soon!
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The information we have on file for 138638957049600 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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