34138917813312
34,138,917,813,312 is an even composite number composed of six prime numbers multiplied together.
34138917813312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 34138917813312:
26 × 34 × 133 × 29 × 41 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 29 × 41 × 2521)See below for interesting mathematical facts about the number 34138917813312 from the Numbermatics database.
Names of 34138917813312
- Cardinal: 34138917813312 can be written as Thirty-four trillion, one hundred thirty-eight billion, nine hundred seventeen million, eight hundred thirteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.4138917813312 × 1013
Factors of 34138917813312
Divisors of 34138917813312
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 41 48 52 54 58 64 72 78 81 82 87 96 104 108 116 117 123 144 156 162 164 169 174 192 208 216 232 234 246 261 288 312 324 328 338 348 351 369 377 416 432 464 468 492 507 522 533 576 624 648 656 676 696 702 738 754 783 832 864 928 936 984 1014 1044 1053 1066 1107 1131 1189 1248 1296 1312 1352 1392 1404 1476 1508 1521 1566 1599 1728 1856 1872 1968 2028 2088 2106 2132 2197 2214 2262 2349 2378 2496 2521 2592 2624 2704 2784 2808 2952 3016 3042 3132 3198 3321 3393 3567 3744 3936 4056 4176 4212 4264 4394 4428 4524 4563 4698 4756 4797 4901 5042 5184 5408 5568 5616 5904 6032 6084 6264 6396 6591 6642 6786 6929 7134 7488 7563 7872 8112 8352 8424 8528 8788 8856 9048 9126 9396 9512 9594 9802 10084 10179 10701 10816 11232 11808 12064 12168 12528 12792 13182 13284 13572 13689 13858 14268 14391 14703 15126 15457 16224 16704 16848 17056 17576 17712 18096 18252 18792 19024 19188 19604 19773 20168 20358 20787 21402 22464 22689 23616 24128 24336 25056 25584 26364 26568 27144 27378 27716 28536 28782 29406 30252 30537 30914 32103 32448 32773 33696 34112 35152 35424 36192 36504 37584 38048 38376 39208 39546 40336 40716 41574 42804 43173 44109 45378 46371 48672 50112 51168 52728 53136 54288 54756 55432 57072 57564 58812 59319 60504 61074 61828 62361 63713 64206 65546 67392 68067 70304 70848 72384 73008 73109 75168 76096 76752 78416 79092 80672 81432 83148 85608 86346 88218 90077 90756 92742 96309 97344 98319 102336 103361 105456 106272 108576 109512 110864 114144 115128 117624 118638 121008 122148 123656 124722 127426 128412 131092 132327 136134 139113 140608 146016 146218 150336 153504 156832 158184 161344 162864 166296 171216 172692 176436 177957 180154 181512 185484 187083 191139 192618 196638 200941 204201 206722 210912 212544 217152 219024 219327 221728 228288 230256 235248 237276 242016 244296 247312 249444 254852 256824 262184 264654 270231 272268 278226 292032 292436 294957 307008 310083 313664 316368 325728 332592 342432 345384 352872 355914 360308 363024 370968 374166 382278 385236 393276 396981 401882 408402 413444 417339 421824 426049 438048 438654 443456 460512 470496 474552 484032 488592 494624 498888 509704 513648 524368 529308 540462 544536 556452 561249 573417 584872 589914 602823 620166 632736 651456 657981 665184 684864 690768 705744 711828 720616 726048 741936 748332 764556 770472 786552 793962 803764 810693 816804 826888 834678 852098 876096 877308 884871 921024 930249 940992 949104 950417 977184 989248 997776 1019408 1027296 1048736 1058616 1080924 1089072 1112904 1122498 1146834 1169744 1179828 1205646 1240332 1252017 1265472 1278147 1315962 1330368 1343693 1381536 1411488 1423656 1441232 1452096 1483872 1496664 1529112 1540944 1573104 1587924 1607528 1621386 1633608 1653776 1669356 1704196 1720251 1754616 1769742 1808469 1860498 1898208 1900834 1954368 1973943 1995552 2038816 2054592 2097472 2117232 2161848 2178144 2225808 2244996 2293668 2339488 2359656 2411292 2432079 2480664 2504034 2556294 2612233 2631924 2654613 2687386 2763072 2790747 2822976 2847312 2851251 2882464 2967744 2993328 2997469 3058224 3081888 3146208 3175848 3215056 3242772 3267216 3307552 3338712 3408392 3440502 3509232 3539484 3616938 3720996 3796416 3801668 3834441 3947886 3991104 4031079 4077632 4234464 4323696 4356288 4451616 4489992 4587336 4678976 4719312 4822584 4864158 4961328 5008068 5112588 5160753 5224466 5263848 5309226 5374772 5425407 5538637 5581494 5694624 5702502 5764928 5921829 5986656 5994938 6116448 6163776 6292416 6351696 6430112 6485544 6534432 6615104 6677424 6816784 6881004 7018464 7078968 7233876 7296237 7441992 7603336 7668882 7836699 7895772 8062158 8372241 8468928 8553753 8647392 8903232 8979984 8992407 9174672 9438624 9645168 9728316 9922656 10016136 10225176 10321506 10448932 10527696 10618452 10749544 10850814 11077274 11162988 11389248 11405004 11503323 11843658 11973312 11989876 12093237 12232896 12355421 12703392 12860224 12971088 13068864 13354848 13633568 13762008 14036928 14157936 14467752 14592474 14883984 15206672 15337764 15673398 15791544 16124316 16276221 16615911 16744482 17107506 17294784 17468009 17959968 17984814 18349344 18877248 19290336 19456632 19845312 20032272 20450352 20643012 20897864 21055392 21236904 21499088 21701628 22154548 22325976 22810008 23006646 23510097 23687316 23979752 24186474 24710842 25406784 25661259 25942176 26709696 26977221 27267136 27524016 28315872 28935504 29184948 29767968 30413344 30675528 31346796 31583088 32248632 32552442 33231822 33488964 34215012 34509969 34936018 35919936 35969628 36279711 36698688 37066263 38580672 38913264 38967097 40064544 40900704 41286024 41795728 42110784 42473808 42998176 43403256 44309096 44651952 45620016 46013292 47020194 47374632 47959504 48372948 49421684 49847733 51322518 51884352 52404027 53954442 55048032 56631744 57871008 58369896 59535936 60826688 61351056 62693592 63166176 64497264 65104884 66463644 66977928 68430024 69019938 69872036 70530291 71939256 72559422 74132526 76983777 77826528 77934194 80129088 80931663 81801408 82572048 83591456 84947616 85996352 86806512 88618192 89303904 91240032 92026584 94040388 94749264 95919008 96745896 98843368 99695466 102645036 104808054 107908884 108839133 110096064 111198789 115742016 116739792 116901291 122702112 125387184 126332352 128994528 130209768 132927288 133955856 136860048 138039876 139744072 141060582 143878512 145118844 148265052 149543199 153967554 155653056 155868388 157212081 160620473 161863326 165144096 167182912 169895232 173613024 177236384 178607808 182480064 184053168 188080776 189498528 191838016 193491792 197686736 199390932 205290072 209616108 211590873 215817768 217678266 222397578 227084117 233479584 233802582 242794989 245404224 250774368 257989056 260419536 265854576 267911712 273720096 276079752 279488144 282121164 287757024 290237688 296530104 299086398 307935108 311736776 314424162 321240946 323726652 330288192 333596367 347226048 350703873 354472768 368106336 376161552 378997056 386983584 395373472 398781864 410580144 419232216 423181746 431635536 435356532 444795156 448629597 454168234 466959168 467605164 471636243 481861419 485589978 501548736 506572261 520839072 531709152 535823424 547440192 552159504 558976288 564242328 575514048 580475376 593060208 598172796 615870216 623473552 628848324 642481892 647453304 667192734 681252351 701407746 736212672 752323104 773967168 790746944 797563728 821160288 838464432 846363492 863271072 870713064 889590312 897259194 908336468 935210328 943272486 963722838 971179956 1000789101 1013144522 1041678144 1052111619 1063418304 1104319008 1117952576 1128484656 1160950752 1186120416 1196345592 1231740432 1246947104 1257696648 1284963784 1294906608 1334385468 1362504702 1402815492 1414908729 1445584257 1504646208 1519716783 1595127456 1642320576 1676928864 1692726984 1726542144 1741426128 1779180624 1794518388 1816672936 1870420656 1886544972 1927445676 1942359912 2001578202 2026289044 2043757053 2104223238 2208638016 2256969312 2321901504 2372240832 2392691184 2463480864 2493894208 2515393296 2569927568 2589813216 2668770936 2725009404 2805630984 2829817458 2891168514 3039433566 3156334857 3190254912 3353857728 3385453968 3482852256 3558361248 3589036776 3633345872 3740841312 3773089944 3854891352 3884719824 4003156404 4052578088 4087514106 4208446476 4336752771 4513938624 4559150349 4785382368 4926961728 5030786592 5139855136 5179626432 5337541872 5450018808 5611261968 5659634916 5782337028 6078867132 6131271159 6312669714 6585439393 6770907936 6965704512 7116722496 7178073552 7266691744 7481682624 7546179888 7709782704 7769439648 8006312808 8105156176 8175028212 8416892952 8673505542 9118300698 9570764736 10061573184 10279710272 10675083744 10900037616 11222523936 11319269832 11564674056 12157734264 12262542318 12625339428 13010258313 13170878786 13541815872 13677451047 14356147104 14533383488 15092359776 15419565408 15538879296 16012625616 16210312352 16350056424 16833785904 17347011084 18236601396 18393813477 19756318179 21350167488 21800075232 22445047872 22638539664 23129348112 24315468528 24525084636 25250678856 26020516626 26341757572 27354902094 28712294208 30184719552 30839130816 32025251232 32420624704 32700112848 33667571808 34694022168 36473202792 36787626954 39512636358 41032353141 43600150464 45277079328 46258696224 48630937056 49050169272 50501357712 52041033252 52683515144 54709804188 59268954537 64050502464 65400225696 67335143616 69388044336 72946405584 73575253908 79025272716 82064706282 90554158656 92517392448 97261874112 98100338544 101002715424 104082066504 105367030288 109419608376 118537909074 130800451392 138776088672 145892811168 147150507816 158050545432 164129412564 177806863611 196200677088 202005430848 208164133008 210734060576 218839216752 237075818148 277552177344 291785622336 294301015632 316101090864 328258825128 355613727222 392401354176 416328266016 421468121152 437678433504 474151636296 533420590833 588602031264 632202181728 656517650256 711227454444 832656532032 875356867008 948303272592 1066841181666 1177204062528 1264404363456 1313035300512 1422454908888 1896606545184 2133682363332 2626070601024 2844909817776 3793213090368 4267364726664 5689819635552 8534729453328 11379639271104 17069458906656 34138917813312
- Sum of all divisors σ(n): 116220215311200
- Sum of proper divisors (its aliquot sum) s(n): 82081297497888
- 34138917813312 is an abundant number, because the sum of its proper divisors (82081297497888) is greater than itself. Its abundance is 47942379684576
Bases of 34138917813312
- Binary: 1111100001100100101100001000110111100010000002
- Hexadecimal: 0x1F0C9611BC40
- Base-36: C3N7A8400
Squares and roots of 34138917813312
- 34138917813312 squared (341389178133122) is 1165465709464071387684409344
- 34138917813312 cubed (341389178133123) is 39787738069627294681875701249222780387328
-
The
square root of 34138917813312 is 5842851.8561839303 -
The
cube root of 34138917813312 is 32440.1796057183
Scales and comparisons
How big is 34138917813312?- 34,138,917,813,312 seconds is equal to 1,085,511 years, 51 weeks, 2 days, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 34,138,917,813,312 would take you about two million, seven hundred thirteen thousand, seven hundred seventy-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 34138917813312 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138917813312
- 34138917813312 backwards is 21331871983143
- 34138917813312 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34138917813312's digits is 54
- More coming soon!
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The information we have on file for 34138917813312 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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