137882728709265408
137,882,728,709,265,408 is an even composite number composed of four prime numbers multiplied together.
137882728709265408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137882728709265408:
211 × 3 × 114 × 11533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 11 × 1153 × 1153 × 1153)See below for interesting mathematical facts about the number 137882728709265408 from the Numbermatics database.
Names of 137882728709265408
- Cardinal: 137882728709265408 can be written as One hundred thirty-seven quadrillion, eight hundred eighty-two trillion, seven hundred twenty-eight billion, seven hundred nine million, two hundred sixty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37882728709265408 × 1017
Factors of 137882728709265408
Divisors of 137882728709265408
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1153 1331 1408 1452 1536 1936 2048 2112 2306 2662 2816 2904 3072 3459 3872 3993 4224 4612 5324 5632 5808 6144 6918 7744 7986 8448 9224 10648 11264 11616 12683 13836 14641 15488 15972 16896 18448 21296 22528 23232 25366 27672 29282 30976 31944 33792 36896 38049 42592 43923 46464 50732 55344 58564 61952 63888 67584 73792 76098 85184 87846 92928 101464 110688 117128 123904 127776 139513 147584 152196 170368 175692 185856 202928 221376 234256 247808 255552 279026 295168 304392 340736 351384 371712 405856 418539 442752 468512 511104 558052 590336 608784 681472 702768 743424 811712 837078 885504 937024 1022208 1116104 1180672 1217568 1329409 1362944 1405536 1534643 1623424 1674156 1771008 1874048 2044416 2232208 2361344 2435136 2658818 2725888 2811072 3069286 3246848 3348312 3542016 3748096 3988227 4088832 4464416 4603929 4870272 5317636 5622144 6138572 6493696 6696624 7084032 7496192 7976454 8177664 8928832 9207858 9740544 10635272 11244288 12277144 12987392 13393248 14623499 14992384 15952908 16881073 17857664 18415716 19481088 21270544 22488576 24554288 25974784 26786496 29246998 29984768 31905816 33762146 35715328 36831432 38962176 42541088 43870497 44977152 49108576 50643219 53572992 58493996 63811632 67524292 71430656 73662864 77924352 85082176 87740994 89954304 98217152 101286438 107145984 116987992 127623264 135048584 142861312 147325728 160858489 170164352 175481988 196434304 202572876 214291968 233975984 255246528 270097168 285722624 294651456 321716978 340328704 350963976 392868608 405145752 428583936 467951968 482575467 510493056 540194336 589302912 643433956 680657408 701927952 785737216 810291504 857167872 935903936 965150934 1020986112 1080388672 1178605824 1286867912 1361314816 1403855904 1532808577 1571474432 1620583008 1769443379 1871807872 1930301868 2041972224 2160777344 2357211648 2573735824 2722629632 2807711808 3065617154 3142948864 3241166016 3538886758 3743615744 3860603736 4083944448 4321554688 4598425731 4714423296 5147471648 5308330137 5615423616 6131234308 6482332032 7077773516 7487231488 7721207472 8167888896 8643109376 9196851462 9428846592 10294943296 10616660274 11230847232 12262468616 12964664064 14155547032 14974462976 15442414944 16860894347 17286218752 18393702924 19463877169 20589886592 21233320548 22461694464 24524937232 25929328128 28311094064 29948925952 30884829888 33721788694 34572437504 36787405848 38927754338 41179773184 42466641096 44923388928 49049874464 50582683041 51858656256 56622188128 58391631507 61769659776 67443577388 73574811696 77855508676 82359546368 84933282192 89846777856 98099748928 101165366082 103717312512 113244376256 116783263014 123539319552 134887154776 147149623392 155711017352 164719092736 169866564384 185469837817 196199497856 202330732164 226488752512 233566526028 247078639104 269774309552 294299246784 311422034704 329438185472 339733128768 370939675634 392398995712 404661464328 452977505024 467133052056 494157278208 539548619104 556409513451 588598493568 622844069408 679466257536 741879351268 784797991424 809322928656 905955010048 934266104112 988314556416 1079097238208 1112819026902 1177196987136 1245688138816 1358932515072 1483758702536 1569595982848 1618645857312 1811910020096 1868532208224 2040168215987 2158194476416 2225638053804 2354393974272 2491376277632 2717865030144 2967517405072 3139191965696 3237291714624 3623820040192 3737064416448 4080336431974 4316388952832 4451276107608 4708787948544 4982752555264 5435730060288 5935034810144 6120504647961 6474583429248 7474128832896 8160672863948 8632777905664 8902552215216 9417575897088 9965505110528 10871460120576 11870069620288 12241009295922 12949166858496 14948257665792 16321345727896 17265555811328 17805104430432 19931010221056 22441850375857 23740139240576 24482018591844 25898333716992 29896515331584 32642691455792 34531111622656 35610208860864 39862020442112 44883700751714 47480278481152 48964037183688 51796667433984 59793030663168 65285382911584 67325551127571 71220417721728 89767401503428 94960556962304 97928074367376 103593334867968 119586061326336 130570765823168 134651102255142 142440835443456 179534803006856 189921113924608 195856148734752 261141531646336 269302204510284 284881670886912 359069606013712 379842227849216 391712297469504 522283063292672 538604409020568 569763341773824 718139212027424 783424594939008 1044566126585344 1077208818041136 1139526683547648 1436278424054848 1566849189878016 2089132253170688 2154417636082272 2872556848109696 3133698379756032 4178264506341376 4308835272164544 5745113696219392 6267396759512064 8617670544329088 11490227392438784 12534793519024128 17235341088658176 22980454784877568 34470682177316352 45960909569755136 68941364354632704 137882728709265408
- Sum of all divisors σ(n): 404705751718086000
- Sum of proper divisors (its aliquot sum) s(n): 266823023008820592
- 137882728709265408 is an abundant number, because the sum of its proper divisors (266823023008820592) is greater than itself. Its abundance is 128940294299555184
Bases of 137882728709265408
- Binary: 1111010011101101110011100011110010110000010011000000000002
- Hexadecimal: 0x1E9DB9C79609800
- Base-36: 11PNCJ46XT6O
Squares and roots of 137882728709265408
- 137882728709265408 squared (1378827287092654082) is 19011646876312883165203466985406464
- 137882728709265408 cubed (1378827287092654083) is 2621377748563002390843511316830147859572637734797312
-
The
square root of 137882728709265408 is 371325637.0212881059 -
The
cube root of 137882728709265408 is 516618.5028591301
Scales and comparisons
How big is 137882728709265408?- 137,882,728,709,265,408 seconds is equal to 4,384,244,273 years, 34 weeks, 6 days, 11 hours, 56 minutes, 48 seconds.
-
To count from 1 to 137,882,728,709,265,408 would take you about thirteen billion, one hundred fifty-two million, seven hundred thirty-two thousand, eight hundred twenty-one 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 137882728709265408 cubic inches would be around 43051.5 feet tall.
Recreational maths with 137882728709265408
- 137882728709265408 backwards is 804562907827288731
- The number of decimal digits it has is: 18
- The sum of 137882728709265408's digits is 87
- More coming soon!
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