137479483906128
137,479,483,906,128 is an even composite number composed of eight prime numbers multiplied together.
137479483906128 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137479483906128:
24 × 34 × 7 × 13 × 292 × 31 × 61 × 733
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 29 × 29 × 31 × 61 × 733)See below for interesting mathematical facts about the number 137479483906128 from the Numbermatics database.
Names of 137479483906128
- Cardinal: 137479483906128 can be written as One hundred thirty-seven trillion, four hundred seventy-nine billion, four hundred eighty-three million, nine hundred six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37479483906128 × 1014
Factors of 137479483906128
Divisors of 137479483906128
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 31 36 39 42 48 52 54 56 58 61 62 63 72 78 81 84 87 91 93 104 108 112 116 117 122 124 126 144 156 162 168 174 182 183 186 189 203 208 216 217 232 234 244 248 252 261 273 279 312 324 336 348 351 364 366 372 377 378 403 406 427 432 434 464 468 488 496 504 522 546 549 558 567 609 624 648 651 696 702 728 732 733 744 754 756 783 793 806 812 819 837 841 854 868 899 936 976 1008 1044 1053 1092 1098 1116 1131 1134 1209 1218 1281 1296 1302 1392 1404 1456 1464 1466 1488 1508 1512 1566 1586 1612 1624 1638 1647 1674 1682 1708 1736 1769 1798 1827 1872 1891 1953 2088 2106 2184 2196 2199 2232 2262 2268 2349 2379 2418 2436 2457 2511 2523 2562 2604 2639 2697 2808 2821 2928 2932 3016 3024 3132 3172 3224 3248 3276 3294 3348 3364 3393 3416 3472 3538 3596 3627 3654 3782 3843 3906 4176 4212 4368 4392 4398 4464 4524 4536 4698 4758 4836 4872 4914 4941 5022 5046 5124 5131 5208 5278 5307 5394 5481 5551 5616 5642 5673 5859 5864 5887 6032 6264 6293 6344 6448 6552 6588 6597 6696 6728 6786 6832 7076 7137 7192 7254 7308 7371 7564 7569 7686 7812 7917 8091 8424 8463 8784 8796 9048 9072 9396 9516 9529 9672 9744 9828 9882 10044 10092 10179 10248 10262 10416 10556 10614 10788 10881 10933 10962 11102 11284 11346 11529 11687 11718 11728 11774 12383 12528 12586 12688 13104 13176 13194 13237 13392 13456 13572 14152 14274 14384 14508 14616 14742 15128 15138 15372 15393 15624 15834 15921 16182 16443 16653 16848 16926 17019 17577 17592 17661 18096 18792 18879 19032 19058 19344 19656 19764 19791 20088 20184 20358 20496 20524 21112 21228 21257 21411 21576 21762 21866 21924 22204 22568 22692 22707 22723 22997 23058 23374 23436 23548 23751 24273 24583 24766 25172 25389 26071 26352 26388 26474 27144 28304 28548 28587 29016 29232 29484 30256 30276 30537 30744 30786 31248 31668 31842 32364 32643 32799 32886 33306 33852 34038 34587 35061 35154 35184 35322 37149 37584 37758 38064 38116 39312 39528 39582 39711 40176 40368 40716 41048 42224 42456 42514 42822 43152 43524 43732 43848 44408 44713 45136 45384 45414 45446 45994 46116 46179 46748 46872 47096 47502 47763 48546 49166 49532 49959 50344 50778 51057 51301 52142 52776 52948 52983 54288 54839 56637 57096 57174 58032 58968 59373 60552 61074 61488 61572 63336 63684 63771 64233 64728 65286 65598 65772 66612 66703 67704 68076 68121 68169 68991 69174 70122 70308 70644 71253 72819 73749 74298 75516 76167 76232 76531 78213 79056 79164 79422 81432 81809 82096 84912 85028 85644 85761 87048 87464 87696 88816 89426 90768 90828 90892 91988 92232 92358 93496 93744 94192 95004 95526 97092 98332 98397 99064 99918 100688 101556 102114 102602 104284 105183 105552 105896 105966 109678 111447 113274 114192 114348 117936 118746 119133 121104 122148 123144 126672 127368 127542 128466 129456 130572 131196 131544 133224 133406 134139 135408 136152 136242 136338 137982 138348 138537 140244 140616 141288 142506 143289 145638 147498 148596 148799 149877 151032 152334 152464 153062 153171 153903 156426 158328 158844 158949 159061 160979 162864 163618 164517 169911 170056 171288 171522 172081 174096 174928 178852 181656 181784 182497 183976 184464 184716 186992 190008 191052 191313 194184 196664 196794 198128 199836 200109 203112 204228 204507 205204 206973 208568 210366 211792 211932 213759 219356 221247 222894 226548 228501 228696 229593 234639 237492 238266 244296 245427 246288 254736 255084 256932 257283 261144 262392 263088 266448 266812 268278 272304 272484 272676 275964 276341 276696 277074 280488 281232 282576 285012 286578 291276 294996 295191 295399 297192 297598 299754 302064 304668 306124 306342 307806 312852 312991 315549 316656 317688 317898 318122 321958 327236 329034 334341 338923 339822 340112 342576 343044 344162 357399 357704 359107 363312 363568 364994 367952 369432 380016 382104 382626 383873 388368 393328 393588 399672 400218 402417 406224 408456 409014 410408 413946 415611 417136 420732 423864 427518 438712 442494 445788 446397 449631 453096 457002 457392 459186 461709 469278 474984 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4317551784 4341274596 4399625061 4465649448 4471750062 4502062544 4540873428 4543875063 4662850492 4703047479 4738057758 4809160944 4815730836 4857245757 5064820362 5193000072 5209924356 5217041739 5273272368 5414923152 5461603524 5551138008 5592461616 5663885136 5788366128 5838265836 5866166748 5881726872 5962333416 5978148624 6050234736 6054497904 6058500084 6091788546 6191653932 6270729972 6287363208 6317410344 6371870778 6420974448 6467492304 6476327676 6511911894 6698474172 6707625093 6753093816 6811310142 6843861206 6946565808 6956055652 6994275738 7107086637 7213741416 7223596254 7282138032 7315851634 7597230543 7784354448 7814886534 7821555664 8078000112 8122384728 8159988361 8255538576 8360973296 8495827704 8635103568 8682549192 8799250122 8931298896 8943500124 9081746856 9087750126 9325700984 9406094958 9476115516 9557806167 9631461672 9714491514 10129640724 10216965213 10265791809 10386000144 10419848712 10434083478 10491413607 10835394381 10923207048 10973777451 11102276016 11676531672 11722329801 11732333496 11763453744 11924666832 12117000168 12183577092 12383307864 12541459944 12574726416 12634820688 12743741556 12952655352 13023823788 13198875183 13396948344 13415250186 13506187632 13622620284 13687722412 13912111304 13988551476 14109142437 14214173274 14427482832 14447192508 14631703268 15154264099 15194461086 15629773068 15651125217 16244769456 16319976722 16991655408 17365098384 17598500244 17887000248 18163493712 18175500252 18651401968 18812189916 18952231032 19115612334 19262923344 19428983028 20122875279 20259281448 20433930426 20531583618 20839697424 20868166956 20982827214 21321259911 21670788762 21846414096 21947554902 22791691629 23353063344 23444659602 23464666992 24234000336 24367154184 24479965083 24766615728 25082919888 25487483112 25905310704 26047647576 26397750366 26793896688 26830500372 27245240568 27375444824 27824222608 27977102952 28218284874 28428346548 28894385016 29263406536 30308528198 30388922172 30797375427 31259546136 31302250434 31474240821 32639953444 32921332353 35197000488 35774000496 36351000504 37624379832 37904462064 38231224668 38857966056 39596625549 40245750558 40518562896 40867860852 41063167236 41736333912 41965654428 42327427311 42642519822 43341577524 43895109804 45462792297 45583383258 46889319204 46953375651 48734308368 48959930166 50974966224 52095295152 52795500732 53661000744 54490481136 54750889648 55954205904 56436569748 56856693096 57788770032 58526813072 60617056396 60777844344 61594750854 62519092272 62604500868 62948481642 65279906888 65842664706 70394000976 72702001008 73439895249 75248759664 76462449336 77715932112 79193251098 80491501116 81735721704 82126334472 83472667824 83931308856 84654854622 85285039644 86683155048 87790219608 90925584594 91166766516 92392126281 93778638408 93906751302 94422722463 97919860332 98763997059 105591001464 106079848693 107322001488 112873139496 113713386192 121234112792 121555688688 123189501708 125209001736 125896963284 130559813776 131685329412 136388376891 140860126953 146879790498 152924898672 158386502196 160983002232 163471443408 164252668944 167862617712 169309709244 170570079288 173366310096 175580439216 181851169188 182333533032 184784252562 187557276816 187813502604 188845444926 195839720664 197527994118 211182002928 212159697386 220319685747 225746278992 242468225584 246379003416 250418003472 251793926568 263370658824 272776753782 277176378843 281720253906 293759580996 296291991177 316773004392 318239546079 321966004464 338619418488 341140158576 363702338376 364667066064 369568505124 375627005208 377690889852 391679441328 395055988236 409165130673 424319394772 440639371494 492758006832 503587853136 526741317648 545553507564 554352757686 563440507812 587519161992 592583982354 633546008784 636479092158 660959057241 677238836976 727404676752 739137010248 751254010416 755381779704 790111976472 818330261346 848638789544 881278742988 954718638237 1091107015128 1108705515372 1126881015624 1175038323984 1185167964708 1227495392019 1272958184316 1321918114482 1478274020496 1510763559408 1580223952944 1636660522692 1697277579088 1762557485976 1909437276474 2182214030256 2217411030744 2253762031248 2370335929416 2454990784038 2545916368632 2643836228964 2864155914711 3273321045384 3525114971952 3818874552948 4434822061488 4740671858832 4909981568076 5091832737264 5287672457928 5728311829422 6546642090768 7637749105896 8592467744133 9819963136152 10575344915856 11456623658844 15275498211792 17184935488266 19639926272304 22913247317688 34369870976532 45826494635376 68739741953064 137479483906128
- Sum of all divisors σ(n): 532869630605312
- Sum of proper divisors (its aliquot sum) s(n): 395390146699184
- 137479483906128 is an abundant number, because the sum of its proper divisors (395390146699184) is greater than itself. Its abundance is 257910662793056
Bases of 137479483906128
- Binary: 111110100001001011011111100110101011000010100002
- Hexadecimal: 0x7D096FCD5850
- Base-36: 1CQD7B3P00
Squares and roots of 137479483906128
- 137479483906128 squared (1374794839061282) is 18900608495095307764715952384
- 137479483906128 cubed (1374794839061283) is 2598445901417481521662755809831473973809152
-
The
square root of 137479483906128 is 11725164.5577419509 -
The
cube root of 137479483906128 is 51611.4385717075
Scales and comparisons
How big is 137479483906128?- 137,479,483,906,128 seconds is equal to 4,371,422 years, 17 weeks, 3 days, 9 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,479,483,906,128 would take you about ten million, nine hundred twenty-eight thousand, five hundred fifty-five 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 137479483906128 cubic inches would be around 4301 feet tall.
Recreational maths with 137479483906128
- 137479483906128 backwards is 821609384974731
- 137479483906128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137479483906128's digits is 72
- More coming soon!
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The information we have on file for 137479483906128 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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