138431532007350
138,431,532,007,350 is an even composite number composed of six prime numbers multiplied together.
138431532007350 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138431532007350:
2 × 312 × 52 × 17 × 19 × 1272
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 19 × 127 × 127)See below for interesting mathematical facts about the number 138431532007350 from the Numbermatics database.
Names of 138431532007350
- Cardinal: 138431532007350 can be written as One hundred thirty-eight trillion, four hundred thirty-one billion, five hundred thirty-two million, seven thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.3843153200735 × 1014
Factors of 138431532007350
Divisors of 138431532007350
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 5 6 9 10 15 17 18 19 25 27 30 34 38 45 50 51 54 57 75 81 85 90 95 102 114 127 135 150 153 162 170 171 190 225 243 254 255 270 285 306 323 342 381 405 425 450 459 475 486 510 513 570 635 646 675 729 762 765 810 850 855 918 950 969 1026 1143 1215 1270 1275 1350 1377 1425 1458 1530 1539 1615 1710 1905 1938 2025 2159 2187 2286 2295 2413 2430 2550 2565 2754 2850 2907 3078 3175 3230 3429 3645 3810 3825 4050 4131 4275 4318 4374 4590 4617 4826 4845 5130 5715 5814 6075 6350 6477 6561 6858 6885 7239 7290 7650 7695 8075 8262 8550 8721 9234 9525 9690 10287 10795 10935 11430 11475 12065 12150 12393 12825 12954 13122 13770 13851 14478 14535 15390 16129 16150 17145 17442 18225 19050 19431 19683 20574 20655 21590 21717 21870 22950 23085 24130 24225 24786 25650 26163 27702 28575 29070 30861 32258 32385 32805 34290 34425 36195 36450 37179 38475 38862 39366 41021 41310 41553 43434 43605 46170 48387 48450 51435 52326 53975 54675 57150 58293 59049 60325 61722 61965 64770 65151 65610 68850 69255 72390 72675 74358 76950 78489 80645 82042 83106 85725 87210 92583 96774 97155 98415 102870 103275 107950 108585 109350 111537 115425 116586 118098 120650 123063 123930 124659 130302 130815 138510 145161 145350 154305 156978 161290 161925 164025 171450 174879 177147 180975 185166 185895 194310 195453 196830 205105 206550 207765 217170 218025 223074 230850 235467 241935 246126 249318 257175 261630 274193 277749 290322 291465 295245 306451 308610 309825 323850 325755 328050 334611 346275 349758 354294 361950 369189 371790 373977 390906 392445 403225 410210 415530 435483 436050 462915 470934 483870 485775 492075 514350 524637 531441 542925 548386 555498 557685 582930 586359 590490 612902 615315 619650 623295 651510 654075 669222 692550 706401 725805 738378 747954 771525 784890 806450 822579 833247 870966 874395 885735 919353 925830 929475 971550 977265 984150 1003833 1025525 1038825 1049274 1062882 1085850 1107567 1115370 1121931 1172718 1177335 1209675 1230630 1246590 1306449 1308150 1370965 1388745 1412802 1451610 1457325 1476225 1532255 1543050 1573911 1628775 1645158 1666494 1673055 1748790 1759077 1771470 1838706 1845945 1858950 1869885 1954530 1962225 2007666 2051050 2077650 2119203 2177415 2215134 2243862 2314575 2354670 2419350 2467737 2499741 2612898 2623185 2657205 2741930 2758059 2777490 2788425 2914650 2931795 2952450 3011499 3064510 3076575 3116475 3147822 3257550 3322701 3346110 3365793 3518154 3532005 3629025 3691890 3739770 3919347 3924450 4112895 4166235 4238406 4354830 4371975 4428675 4596765 4629150 4721733 4886325 4935474 4999482 5019165 5209667 5246370 5277231 5314410 5516118 5537835 5576850 5609655 5863590 5886675 6022998 6153150 6232950 6357609 6532245 6645402 6731586 6854825 6943725 7064010 7258050 7403211 7499223 7661275 7838694 7869555 8225790 8274177 8332470 8365275 8743950 8795385 8857350 9034497 9193530 9229725 9349425 9443466 9772650 9968103 10038330 10097379 10419334 10554462 10596015 10887075 11075670 11219310 11758041 11773350 12338685 12498705 12715218 13064490 13115925 13286025 13709650 13790295 13887450 14165199 14658975 14806422 14998446 15057495 15322550 15629001 15739110 15831693 16548354 16613505 16730550 16828965 17590770 17660025 18068994 18459450 18698850 19072827 19596735 19936206 20194758 20564475 20831175 21192030 21774150 22209633 22497669 22983825 23516082 23608665 24677370 24822531 24997410 25095825 26048335 26231850 26386155 26572050 27580590 27689175 28048275 28330398 29317950 29904309 30114990 31258002 31663386 31788045 32661225 33227010 33657930 35274123 35320050 37016055 37496115 38145654 39193470 39347775 41128950 41370885 41662350 42495597 43976925 44419266 44995338 45172485 45967650 46887003 47217330 47495079 49645062 49840515 50191650 50486895 52096670 52772310 52980075 55378350 56096550 57218481 58790205 59808618 61693425 62493525 63576090 65322450 66628899 67493007 68951475 70548246 70825995 74032110 74467593 74992230 75287475 78145005 78695550 79158465 82741770 83067525 84144825 84991194 87953850 89712927 90344970 93774006 94990158 95364135 97983675 99681030 100973790 105822369 105960150 111048165 112488345 114436962 117580410 118043325 123386850 124112655 124987050 127486791 130241675 131930775 133257798 134986014 137902950 140661009 141651990 142485237 148935186 149521545 150574950 156290010 158316930 158940225 166135050 168289650 171655443 176370615 179425854 185080275 187480575 190728270 195967350 199886697 206854425 211644738 212477985 222096330 223402779 224976690 225862425 234435015 236086650 237475395 248225310 249202575 252434475 254973582 260483350 263861550 269138781 281322018 284970474 286092405 293951025 299043090 317467107 317880450 333144495 337465035 343310886 352741230 354129975 370160550 372337965 374961150 382460373 390725025 395792325 399773394 413708850 421983027 424955970 427455711 446805558 448564635 451724850 468870030 474950790 476820675 498405150 504868950 529111845 538277562 555240825 562441725 572184810 587902050 599660091 620563275 634934214 637433955 666288990 670208337 674930070 703305045 708259950 712426185 744675930 747607725 764920746 781450050 791584650 807416343 843966054 854911422 858277215 881853075 897129270 952401321 953641350 999433485 1058223690 1062389925 1110481650 1117013895 1124883450 1147381119 1172175075 1187376975 1199320182 1241126550 1265949081 1274867910 1282367133 1340416674 1345693905 1406610090 1424852370 1430462025 1495215450 1587335535 1614832686 1665722475 1687325175 1716554430 1763706150 1798980273 1861689825 1904802642 1912301865 1998866970 2010625011 2109915135 2124779850 2137278555 2234027790 2242823175 2294762238 2344350150 2374753950 2422249029 2531898162 2564734266 2645559225 2691387810 2857203963 2860924050 2998300455 3174671070 3187169775 3331444950 3351041685 3374650350 3516525225 3562130925 3597960546 3723379650 3797847243 3824603730 4021250022 4037081715 4219830270 4274557110 4291386075 4485646350 4762006605 4844498058 4997167425 5291118450 5396940819 5585069475 5714407926 5736905595 5996600910 6031875033 6329745405 6374339550 6411835665 6702083370 6728469525 7033050450 7124261850 7266747087 7595694486 7936677675 8074163430 8571611889 8582772150 8994901365 9524013210 9561509325 9994334850 10053125055 10549575675 10686392775 10793881638 11170138950 11393541729 11473811190 12063750066 12111245145 12659490810 12823671330 13456939050 14286019815 14533494174 14991502275 15873355350 16190822457 16755208425 17143223778 17989802730 18095625099 18989236215 19123018650 20106250110 20185408575 21099151350 21372785550 21800241261 22787083458 23810033025 24222490290 26984704095 28572039630 28684527975 29983004550 30159375165 31648727025 32059178325 32381644914 33510416850 34180625187 36191250198 36333735435 37978472430 40370817150 42858059445 43600482522 44974506825 47620066050 48572467371 50265625275 53969408190 54286875297 56967708645 57369055950 60318750330 60556225725 63297454050 64118356650 68361250374 71430099075 72667470870 80954112285 85716118890 89949013650 90478125495 94946181075 97144934742 100531250550 102541875561 108573750594 109001206305 113935417290 121112451450 134923520475 142860198150 145717402113 150796875825 161908224570 162860625891 170903125935 180956250990 181668677175 189892362150 205083751122 214290297225 218002412610 242862336855 269847040950 271434376485 284838543225 291434804226 301593751650 307625626683 325721251782 341806251870 363337354350 404770561425 428580594450 452390627475 485724673710 512709377805 542868752970 545006031525 569677086450 615251253366 728587010565 809541122850 814303129455 854515629675 904781254950 922876880049 1025418755610 1090012063050 1214311684275 1357171882425 1457174021130 1538128133415 1628606258910 1709031259350 1845753760098 2428623368550 2563546889025 2714343764850 2768630640147 3076256266830 3642935052825 4071515647275 4614384400245 5127093778050 5537261280294 7285870105650 7690640667075 8143031294550 9228768800490 13843153200735 15381281334150 23071922001225 27686306401470 46143844002450 69215766003675 138431532007350
- Sum of all divisors σ(n): 433882264701960
- Sum of proper divisors (its aliquot sum) s(n): 295450732694610
- 138431532007350 is an abundant number, because the sum of its proper divisors (295450732694610) is greater than itself. Its abundance is 157019200687260
Bases of 138431532007350
- Binary: 111110111100111000110100100101001111111101101102
- Hexadecimal: 0x7DE71A4A7FB6
- Base-36: 1D2IKFYLDI
Squares and roots of 138431532007350
- 138431532007350 squared (1384315320073502) is 19163289053901967520454022500
- 138431532007350 cubed (1384315320073503) is 2652803462031330116216871131512807065375000
-
The
square root of 138431532007350 is 11765693.0100759471 -
The
cube root of 138431532007350 is 51730.3013555899
Scales and comparisons
How big is 138431532007350?- 138,431,532,007,350 seconds is equal to 4,401,694 years, 27 weeks, 15 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,431,532,007,350 would take you about eleven million, four thousand, two hundred thirty-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 138431532007350 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138431532007350
- 138431532007350 backwards is 053700235134831
- 138431532007350 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138431532007350's digits is 45
- More coming soon!
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The information we have on file for 138431532007350 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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