34408428052992
34,408,428,052,992 is an even composite number composed of six prime numbers multiplied together.
34408428052992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 34408428052992:
29 × 3 × 72 × 312 × 412 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 31 × 31 × 41 × 41 × 283)See below for interesting mathematical facts about the number 34408428052992 from the Numbermatics database.
Names of 34408428052992
- Cardinal: 34408428052992 can be written as Thirty-four trillion, four hundred eight billion, four hundred twenty-eight million, fifty-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 3.4408428052992 × 1013
Factors of 34408428052992
Divisors of 34408428052992
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 41 42 48 49 56 62 64 82 84 93 96 98 112 123 124 128 147 164 168 186 192 196 217 224 246 248 256 283 287 294 328 336 372 384 392 434 448 492 496 512 566 574 588 651 656 672 744 768 784 849 861 868 896 961 984 992 1132 1148 1176 1271 1302 1312 1344 1488 1519 1536 1568 1681 1698 1722 1736 1792 1922 1968 1981 1984 2009 2264 2296 2352 2542 2604 2624 2688 2883 2976 3038 3136 3362 3396 3444 3472 3584 3813 3844 3936 3962 3968 4018 4528 4557 4592 4704 5043 5084 5208 5248 5376 5766 5943 5952 6027 6076 6272 6724 6727 6792 6888 6944 7626 7688 7872 7924 7936 8036 8773 8897 9056 9114 9184 9408 10086 10168 10416 10496 10752 11532 11603 11767 11886 11904 12054 12152 12544 13448 13454 13584 13776 13867 13888 15252 15376 15744 15848 15872 16072 17546 17794 18112 18228 18368 18816 20172 20181 20336 20832 20992 23064 23206 23534 23772 23808 24108 24304 25088 26319 26691 26896 26908 27168 27552 27734 27776 30504 30752 31488 31696 32144 34809 35092 35301 35588 36224 36456 36736 37632 39401 40344 40362 40672 41601 41664 46128 46412 47068 47089 47544 47616 48216 48608 52111 52638 53382 53792 53816 54336 55104 55468 55552 61008 61411 61504 62279 62976 63392 64288 69618 70184 70602 71176 72448 72912 73472 75264 78802 80688 80724 81221 81344 82369 83202 83328 92256 92824 94136 94178 95088 96432 97216 104222 105276 106764 107584 107632 108672 110208 110936 111104 118203 122016 122822 123008 124558 126784 128576 139236 140368 141204 141267 142352 144896 145824 146944 156333 157604 161376 161448 162442 162688 164738 166404 166656 184233 184512 185648 186837 188272 188356 190176 192864 194432 208444 210552 213528 215168 215264 217344 220416 221872 236406 243663 244032 245644 246016 247107 249116 253568 257152 271963 275807 278472 280736 282408 282534 284704 291648 312666 315208 322752 322896 324884 325376 329476 332808 333312 359693 364777 368466 369024 371296 373674 376544 376712 380352 385728 388864 416888 421104 427056 429877 430336 430528 434688 440832 443744 472812 475723 487326 488064 491288 492032 494214 498232 507136 514304 543926 551614 556944 561472 564816 565068 568547 569408 583296 625332 630416 645504 645792 649768 650752 658952 665616 719386 729554 736932 738048 742592 747348 753088 753424 760704 771456 777728 815889 827421 833776 842208 854112 859754 860672 861056 887488 945624 951446 974652 976128 982576 988428 996464 1014272 1028608 1079079 1087852 1094331 1103228 1113888 1122944 1129632 1130136 1137094 1138816 1166592 1250664 1260832 1289631 1291008 1291584 1299536 1317904 1331232 1427169 1438772 1459108 1473864 1476096 1485184 1494696 1506176 1506848 1521408 1542912 1615441 1631778 1654842 1667552 1684416 1705641 1708224 1719508 1722112 1774976 1891248 1902892 1903741 1930649 1949304 1952256 1965152 1976856 1992928 2158158 2175704 2188662 2206456 2227776 2245888 2259264 2260272 2274188 2277632 2333184 2501328 2517851 2521664 2553439 2579262 2582016 2583168 2599072 2635808 2662464 2854338 2877544 2918216 2947728 2970368 2989392 3012352 3013696 3042816 3085824 3230882 3263556 3309684 3330061 3335104 3368832 3411282 3416448 3439016 3444224 3549952 3782496 3805784 3807482 3861298 3898608 3930304 3953712 3985856 4316316 4351408 4377324 4412912 4455552 4491776 4518528 4520544 4548376 4555264 4846323 5002656 5035702 5043328 5106878 5158524 5166336 5198144 5271616 5324928 5708676 5711223 5755088 5791947 5836432 5895456 5940736 5978784 6024704 6027392 6461764 6527112 6619368 6660122 6670208 6737664 6822564 6832896 6878032 7099904 7553553 7564992 7611568 7614964 7660317 7722596 7797216 7860608 7907424 7971712 8632632 8702816 8754648 8825824 8911104 9037056 9041088 9096752 9692646 9990183 10005312 10071404 10086656 10213756 10317048 10332672 10396288 10543232 10649856 11150483 11308087 11417352 11422446 11510176 11583894 11672864 11790912 11957568 12054784 12923528 13054224 13238736 13320244 13326187 13340416 13475328 13645128 13665792 13756064 14747413 15107106 15129984 15223136 15229928 15320634 15445192 15594432 15721216 15814848 15943424 17265264 17405632 17509296 17624957 17651648 17822208 18074112 18082176 18193504 19385292 19980366 20010624 20142808 20173312 20427512 20634096 20792576 21086464 21299712 22300966 22616174 22834704 22844892 23020352 23167788 23310427 23345728 23581824 23915136 24109568 25847056 26108448 26477472 26640488 26652374 26680832 27290256 27512128 29494826 30214212 30259968 30446272 30459856 30641268 30890384 31188864 31442432 31629696 31886848 33451449 33924261 34530528 34811264 35018592 35249914 35303296 36164352 36387008 38770584 39960732 39978561 40021248 40285616 40855024 41268192 41585152 42172928 44242239 44601932 45232348 45669408 45689784 46040704 46335576 46620854 46691456 47163648 47830272 51694112 52216896 52874871 52954944 53280976 53304748 54580512 55024256 58989652 60428424 60519936 60892544 60919712 61282536 61780768 62377728 63259392 66902898 67848522 69061056 69622528 69931281 70037184 70499828 70606592 72328704 72774016 77541168 78053381 79156609 79921464 79957122 80042496 80571232 81710048 82536384 88484478 89203864 90464696 91338816 91379568 92081408 92671152 93241708 93382912 94327296 95660544 103231891 103388224 104433792 105749742 105909888 106561952 106609496 109161024 110048512 117979304 120856848 121785088 121839424 122565072 123561536 124755456 126518784 133805796 135697044 138122112 139245056 139862562 140074368 140999656 141213184 145548032 155082336 156106762 158313218 159842928 159914244 161142464 163420096 165072768 176968956 178407728 180929392 182677632 182759136 184162816 185342304 186483416 186765824 206463782 206776448 208867584 211499484 211819776 213123904 213218992 218322048 220097024 234160143 235958608 237469827 241713696 243570176 243678848 245130144 247123072 267611592 271394088 276244224 279725124 280148736 281999312 291096064 309695673 310164672 312213524 316626436 319685856 319828488 322284928 326840192 330145536 353937912 356815456 361858784 365355264 365518272 370684608 372966832 412927564 413552896 417735168 422998968 423639552 426247808 426437984 436644096 457169803 468320286 471917216 474939654 483427392 487357696 490260288 494246144 535223184 542788176 546373667 552488448 559450248 560297472 563998624 619391346 620329344 624427048 633252872 639371712 639656976 644569856 653680384 660291072 707875824 713630912 722623237 723717568 730710528 731036544 741369216 745933664 825855128 827105792 845997936 852495616 852875968 873288192 914339606 936640572 943834432 949879308 966854784 974715392 980520576 988492288 1070446368 1085576352 1092747334 1118900496 1127997248 1238782692 1240658688 1248854096 1266505744 1278743424 1279313952 1289139712 1307360768 1371509409 1415751648 1427261824 1445246474 1447435136 1462073088 1482738432 1491867328 1639121001 1651710256 1691995872 1704991232 1705751936 1828679212 1873281144 1887668864 1899758616 1933709568 1961041152 2140892736 2167869711 2171152704 2185494668 2237800992 2255994496 2477565384 2481317376 2497708192 2533011488 2557486848 2558627904 2743018818 2831503296 2854523648 2890492948 2894870272 2924146176 2965476864 2983734656 3200188621 3278242002 3303420512 3383991744 3411503872 3657358424 3746562288 3775337728 3799517232 3867419136 3922082304 4281785472 4335739422 4342305408 4370989336 4475601984 4511988992 4955130768 4995416384 5066022976 5114973696 5117255808 5486037636 5663006592 5709047296 5780985896 5789740544 5967469312 6400377242 6556484004 6606841024 6767983488 6823007744 7314716848 7493124576 7550675456 7599034464 8563570944 8671478844 8684610816 8741978672 8951203968 9023977984 9600565863 9910261536 9990832768 10132045952 10234511616 10972075272 11326013184 11561971792 11934938624 12800754484 13112968008 13213682048 13535966976 14629433696 14986249152 15198068928 17127141888 17342957688 17369221632 17483957344 17902407936 19201131726 19820523072 19981665536 20264091904 20469023232 21944150544 22401320347 22652026368 23123943584 25601508968 26225936016 26427364096 27071933952 29258867392 29972498304 30396137856 34685915376 34967914688 35804815872 38402263452 39641046144 39963331072 40528183808 43888301088 44802640694 46247887168 51203017936 52451872032 52854728192 58517734784 59944996608 60792275712 67203961041 69371830752 69935829376 76804526904 79282092288 87776602176 89605281388 92495774336 102406035872 104903744064 117035469568 119889993216 121584551424 134407922082 138743661504 139871658752 153609053808 158564184576 175553204352 179210562776 184991548672 204812071744 209807488128 234070939136 268815844164 277487323008 279743317504 307218107616 351106408704 358421125552 369983097344 409624143488 419614976256 537631688328 554974646016 614436215232 702212817408 716842251104 819248286976 839229952512 1075263376656 1109949292032 1228872430464 1433684502208 1638496573952 2150526753312 2457744860928 2867369004416 4301053506624 4915489721856 5734738008832 8602107013248 11469476017664 17204214026496 34408428052992
- Sum of all divisors σ(n): 113334816736944
- Sum of proper divisors (its aliquot sum) s(n): 78926388683952
- 34408428052992 is an abundant number, because the sum of its proper divisors (78926388683952) is greater than itself. Its abundance is 44517960630960
Bases of 34408428052992
- Binary: 1111101001011010101100010000110100010000000002
- Hexadecimal: 0x1F4B5621A200
- Base-36: C730HNVUO
Squares and roots of 34408428052992
- 34408428052992 squared (344084280529922) is 1183939921077926835960152064
- 34408428052992 cubed (344084280529923) is 40737511593474872222164202054395770175488
-
The
square root of 34408428052992 is 5865869.7609981081 -
The
cube root of 34408428052992 is 32525.3224511771
Scales and comparisons
How big is 34408428052992?- 34,408,428,052,992 seconds is equal to 1,094,081 years, 30 weeks, 1 day, 1 hour, 23 minutes, 12 seconds.
-
To count from 1 to 34,408,428,052,992 would take you about two million, seven hundred thirty-five thousand, two hundred three 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 34408428052992 cubic inches would be around 2710.4 feet tall.
Recreational maths with 34408428052992
- 34408428052992 backwards is 29925082480443
- The number of decimal digits it has is: 14
- The sum of 34408428052992's digits is 60
- More coming soon!
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The information we have on file for 34408428052992 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!
Keywords: Divisors of 34408428052992, math, Factors of 34408428052992, curriculum, school, college, exams, university, Prime factorization of 34408428052992, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, four hundred eight billion, four hundred twenty-eight million, fifty-two thousand, nine hundred ninety-two.