137212840996451435124
137,212,840,996,451,435,124 is an even composite number composed of seven prime numbers multiplied together.
137212840996451435124 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137212840996451435124:
22 × 32 × 7 × 13 × 31 × 429817 × 3143442937
(2 × 2 × 3 × 3 × 7 × 13 × 31 × 429817 × 3143442937)See below for interesting mathematical facts about the number 137212840996451435124 from the Numbermatics database.
Names of 137212840996451435124
- Cardinal: 137212840996451435124 can be written as One hundred thirty-seven quintillion, two hundred twelve quadrillion, eight hundred forty trillion, nine hundred ninety-six billion, four hundred fifty-one million, four hundred thirty-five thousand, one hundred twenty-four.
Scientific notation
- Scientific notation: 1.37212840996451435124 × 1020
Factors of 137212840996451435124
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 3143872810
Divisors of 137212840996451435124
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 101556 429817 859634 1289451 1719268 2578902 3008719 3868353 5157804 5587621 6017438 7736706 9026157 11175242 12034876 13324327 15473412 16762863 18052314 22350484 26648654 27078471 33525726 36104628 39113347 39972981 50288589 53297308 54156942 67051452 78226694 79945962 93270289 100577178 108313884 117340041 119918943 156453388 159891924 173216251 186540578 201154356 234680082 239837886 279810867 346432502 352020123 373081156 469360164 479675772 519648753 559621734 692865004 704040246 839432601 1039297506 1119243468 1212513757 1408080492 1558946259 1678865202 2078595012 2425027514 3117892518 3143442937 3357730404 3637541271 4850055028 6235785036 6286885874 7275082542 9430328811 10912623813 12573771748 14550165084 18860657622 21825247626 22004100559 28290986433 37721315244 40864758181 43650495252 44008201118 56581972866 66012301677 81729516362 88016402236 97446731047 113163945732 122594274543 132024603354 163459032724 194893462094 198036905031 245188549086 264049206708 286053307267 292340193141 367782823629 389786924188 396073810062 490377098172 572106614534 584680386282 682127117329 735565647258 792147620124 858159921801 877020579423 1144213229068 1169360772564 1266807503611 1364254234658 1471131294516 1716319843602 1754041158846 2046381351987 2533615007222 2574479765403 2728508469316 3432639687204 3508082317692 3800422510833 4092762703974 5067230014444 5148959530806 6139144055961 7600845021666 8185525407948 8867652525277 10297919061612 11401267532499 12278288111922 15201690043332 17735305050554 22802535064998 24556576223844 26602957575831 35470610101108 45605070129996 53205915151662 79808872727493 106411830303324 159617745454986 319235490909972 1351105212852529 2702210425705058 4053315638557587 5404420851410116 8106631277115174 9457736489967703 12159946915672761 16213262554230348 17564367767082877 18915472979935406 24319893831345522 28373209469903109 35128735534165754 37830945959870812 41884261598428399 48639787662691044 52693103301248631 56746418939806218 70257471068331508 83768523196856798 85119628409709327 105386206602497262 113492837879612436 122950574369580139 125652784795285197 158079309903745893 167537046393713596 170239256819418654 210772413204994524 245901148739160278 251305569590570394 293189831188998793 316158619807491786 340478513638837308 368851723108740417 376958354385855591 491802297478320556 502611139181140788 544495400779569187 586379662377997586 632317239614983572 737703446217480834 753916708771711182 879569493566996379 1088990801559138374 1106555169326221251 1172759324755995172 1475406892434961668 1507833417543422364 1633486202338707561 1759138987133992758 2177981603118276748 2213110338652442502 2638708480700989137 3266972404677415122 3518277974267985516 3811467805456984309 4426220677304885004 4900458607016122683 5277416961401978274 6533944809354830244 7622935610913968618 9800917214032245366 10554833922803956548 11434403416370952927 15245871221827937236 19601834428064490732 22868806832741905854 34303210249112858781 45737613665483811708 68606420498225717562 137212840996451435124
- Sum of all divisors σ(n): 440655883895811024896
- Sum of proper divisors (its aliquot sum) s(n): 303443042899359589772
- 137212840996451435124 is an abundant number, because the sum of its proper divisors (303443042899359589772) is greater than itself. Its abundance is 166230201902908154648
Bases of 137212840996451435124
- Binary: 11101110000001101011110111111100110110001111010010011000010011101002
- Hexadecimal: 0x77035EFE6C7A4C274
- Base-36: SYH8KPHMLXX10
Squares and roots of 137212840996451435124
- 137212840996451435124 squared (1372128409964514351242) is 18827363734317463663795046880679180895376
- 137212840996451435124 cubed (1372128409964514351243) is 2583356066459258263568312076835429043983913218866218495586624
-
The
square root of 137212840996451435124 is 11713788498.8782102871 -
The
cube root of 137212840996451435124 is 5157804.9999999989
Scales and comparisons
How big is 137212840996451435124?- 137,212,840,996,451,435,124 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,212,840,996,451,435,124 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137212840996451435124 cubic inches would be around 429817.1 feet tall.
Recreational maths with 137212840996451435124
- 137212840996451435124 backwards is 421534154699048212731
- The number of decimal digits it has is: 21
- The sum of 137212840996451435124's digits is 81
- More coming soon!
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