40890809938968
40,890,809,938,968 is an even composite number composed of six prime numbers multiplied together.
40890809938968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 40890809938968:
23 × 33 × 113 × 312 × 472 × 67
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 31 × 31 × 47 × 47 × 67)See below for interesting mathematical facts about the number 40890809938968 from the Numbermatics database.
Names of 40890809938968
- Cardinal: 40890809938968 can be written as Forty trillion, eight hundred ninety billion, eight hundred nine million, nine hundred thirty-eight thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0890809938968 × 1013
Factors of 40890809938968
Divisors of 40890809938968
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 47 54 62 66 67 72 88 93 94 99 108 121 124 132 134 141 186 188 198 201 216 242 248 264 268 279 282 297 341 363 372 376 396 402 423 484 517 536 558 564 594 603 682 726 737 744 792 804 837 846 961 968 1023 1034 1089 1116 1128 1188 1206 1269 1331 1364 1452 1457 1474 1551 1608 1674 1692 1809 1922 2046 2068 2077 2178 2209 2211 2232 2376 2412 2538 2662 2728 2883 2904 2914 2948 3069 3102 3149 3267 3348 3384 3618 3751 3844 3993 4092 4136 4154 4356 4371 4418 4422 4653 4824 5076 5324 5687 5766 5828 5896 6138 6204 6231 6298 6534 6627 6633 6696 7236 7502 7688 7986 8107 8184 8308 8649 8712 8742 8836 8844 9207 9306 9447 10152 10571 10648 11253 11374 11532 11656 11979 12276 12408 12462 12596 13068 13113 13254 13266 13959 14472 15004 15972 16027 16214 16616 17061 17298 17484 17672 17688 18414 18612 18693 18894 19881 19899 21142 22506 22748 22847 23064 23958 24299 24321 24552 24924 25192 25947 26136 26226 26508 26532 27918 28341 30008 31713 31944 32054 32428 33759 34122 34596 34639 34968 35937 36828 37224 37386 37788 39339 39762 39798 41261 42284 45012 45167 45496 45694 47916 48081 48598 48642 49848 51183 51894 52452 53016 53064 55836 56079 56682 59643 62557 63426 64108 64387 64856 67518 68244 68479 68541 69192 69278 71874 72897 72963 73656 74772 75576 78678 79524 79596 82522 84568 85023 89177 90024 90334 91388 95139 95832 96162 97196 97284 97619 101277 102366 103788 103917 104904 111672 112158 113364 116281 119286 123783 125114 126852 128216 128774 135036 135501 136488 136958 137082 138556 143748 144243 145794 145926 148003 149544 153549 157356 159048 159192 165044 170046 176297 178354 180668 182776 187671 190278 192324 193161 194392 194568 195238 202554 204732 205437 205623 207576 207834 218691 218889 224316 226728 232562 238572 247566 250228 251317 253704 257548 267289 267531 270072 271002 273916 274164 277112 285417 287496 288486 291588 291852 292857 296006 307098 311751 314712 330088 340092 348843 352594 356708 361336 371349 375342 380556 381029 384648 386322 390476 405108 406503 409464 410874 411246 415668 432729 437382 437778 444009 448632 465124 477144 495132 496837 500456 502634 515096 528891 534578 535062 542004 547832 548328 563013 570834 576972 579483 583176 583704 585714 592012 614196 616311 616869 623502 656073 680184 697686 705188 708257 713416 742698 750684 753269 753951 761112 762058 772644 780952 801867 802593 810216 813006 821748 822492 831336 865458 874764 875556 878571 888018 930248 935253 990264 993674 1005268 1046529 1057782 1069156 1070124 1073809 1084008 1114047 1126026 1141668 1143087 1153944 1158966 1171428 1184024 1219509 1228392 1232622 1233738 1247004 1279091 1312146 1332027 1395372 1410376 1416514 1485396 1490511 1501368 1506538 1507902 1524116 1545288 1586673 1603734 1605186 1626012 1628033 1643496 1644984 1689039 1730916 1738449 1749528 1751112 1757142 1776036 1848933 1870506 1939267 1987348 2010536 2093058 2115564 2122849 2124771 2138312 2140248 2147618 2228094 2252052 2259807 2261853 2283336 2286174 2317932 2342856 2405601 2407779 2439018 2465244 2467476 2494008 2558182 2624292 2635713 2664054 2764487 2790744 2833028 2940179 2970792 2981022 3013076 3015804 3026189 3048232 3139587 3173346 3207468 3210372 3221427 3252024 3256066 3378078 3429261 3461832 3476898 3514284 3552072 3697866 3741012 3837273 3878534 3974696 3996081 4186116 4191319 4231128 4245698 4249542 4295236 4456188 4471533 4504104 4519614 4523706 4572348 4588093 4635864 4760019 4811202 4815558 4878036 4884099 4930488 4934952 5116364 5248584 5271426 5328108 5465207 5528974 5666056 5817801 5880358 5962044 6026152 6031608 6052378 6279174 6346692 6368547 6374313 6414936 6420744 6442854 6512132 6756156 6779421 6785559 6858522 6953796 7028568 7216803 7395732 7482024 7674546 7757068 7790827 7992162 8285959 8293461 8372232 8382638 8491396 8499084 8590472 8820537 8912376 8943066 9039228 9047412 9078567 9144696 9176186 9520038 9622404 9631116 9664281 9756072 9768198 10232728 10287783 10542852 10656216 10930414 11057948 11511819 11635602 11760716 11811899 11924088 12104756 12558348 12573957 12693384 12737094 12748626 12885708 13024264 13414599 13512312 13558842 13571118 13717044 13764279 13907592 14433606 14652297 14791464 15349092 15514136 15581654 15984324 16395621 16571918 16586922 16765276 16982792 16998168 17453403 17641074 17886132 17908363 18078456 18094824 18157134 18352372 19040076 19105641 19122939 19244808 19262232 19328562 19536396 20338263 20575566 21085704 21860828 22115896 23023638 23271204 23351339 23372481 23521432 23623798 24209512 24857877 24880383 25116696 25147914 25474188 25497252 25771416 26461611 26829198 27117684 27142236 27235701 27434088 27528558 28867212 28992843 29304594 30698184 31163308 31968648 32791242 33143836 33173844 33288079 33530552 34535457 34906806 35282148 35435697 35772264 35816726 36314268 36704744 37721871 38080152 38211282 38245878 38657124 39072792 40676526 41151132 41292837 43721656 43956891 46047276 46542408 46702678 46744962 47247596 49186863 49715754 49760766 50295828 50469023 50948376 50994504 52360209 52923222 53658396 53725089 54235368 54284472 54471402 55057116 57316923 57734424 57985686 58609188 60117277 62326616 65582484 66287672 66347688 66576158 69070914 69813612 70054017 70117443 70564296 70871394 71633452 72628536 74573631 74641149 75443742 76422564 76491756 77314248 79384833 81353052 81707103 82302264 82585674 85699097 87913782 91145549 92094552 93405356 93489924 94495192 98373726 99431508 99521532 99864237 100591656 100938046 104720418 105846444 106307091 107316792 107450178 108942804 110114232 113165613 114633846 115971372 117218376 120234554 123878511 129930889 131164968 133152316 138141828 139627224 140108034 140234886 141742788 142230883 143266904 147560589 149147262 149282298 150887484 151407069 152845128 152983512 158769666 161175267 162706104 163414206 165171348 171398194 175827564 180351831 182291098 186810712 186979848 196747452 196991993 198863016 199043064 199728474 201876092 209440836 210162051 210352329 211692888 212614182 214900356 217885608 223720893 226331226 229267692 231942744 240469108 247757022 256864729 257097291 259861778 266304632 273436647 276283656 280216068 280469772 283485576 284461766 295121178 298294524 298564596 299592711 301774968 302814138 317539332 318921273 322350534 326828412 330342696 342796388 351655128 360703662 364582196 366168869 389792667 393494904 393983986 399456948 403752184 418881672 420324102 420704658 425228364 426692649 429800712 447441786 452662452 454221207 458535384 480938216 483525801 495514044 513729458 514194582 519723556 541055493 546873294 555159253 560432136 560939544 568923532 590242356 590975979 596589048 597129192 599185422 605628276 630486153 635078664 637842546 644701068 653656824 685592776 721407324 729164392 732337738 770594187 771291873 779585334 787967972 798913896 820309941 840648204 841409316 850456728 853385298 894883572 898778133 905324904 908442414 967051602 991028088 1027458916 1028389164 1039447112 1082110986 1093746588 1098506607 1110318506 1137847064 1169378001 1180484712 1181951958 1198370844 1211256552 1260972306 1275685092 1280077947 1289402136 1362663621 1442814648 1464675476 1541188374 1542583746 1559170668 1564539713 1575935944 1623166479 1640619882 1665477759 1681296408 1682818632 1706770596 1772927937 1789767144 1797556266 1816884828 1934103204 2054917832 2056778328 2164221972 2187493176 2197013214 2220637012 2311782561 2313875619 2338756002 2363903916 2396741688 2460929823 2521944612 2551370184 2560155894 2725327242 2825512019 2929350952 3082376748 3085167492 3118341336 3129079426 3246332958 3281239764 3295519821 3330955518 3413541192 3508134003 3545855874 3595112532 3633769656 3840233841 3868206408 4027857559 4328443944 4394026428 4441274024 4623565122 4627751238 4677512004 4693619139 4727807832 4921859646 4996433277 5043889224 5120311788 5318783811 5450654484 5651024038 6106751783 6164753496 6170334984 6258158852 6492665916 6562479528 6591039642 6661911036 6935347683 7016268006 7091711748 7190225064 7680467682 8055715118 8476536057 8788052856 9247130244 9255502476 9355024008 9387238278 9843719292 9886559463 9992866554 10240623576 10637567622 10901308968 11302048076 12083572677 12213503566 12516317704 12985331832 13182079284 13323822072 13870695366 14032536012 14080857417 14183423496 14989299831 15360935364 16111430236 16953072114 17209936843 18320255349 18494260488 18511004952 18774476556 19687438584 19773118926 19985733108 21275135244 22604096152 24167145354 24427007132 25429608171 26364158568 27741390732 28065072024 28161714834 29978599662 30721870728 32222860472 33906144228 34419873686 36250718031 36640510698 37548953112 39546237852 39971466216 42242572251 42550270488 48334290708 48854014264 50859216342 51629810529 54960766047 55482781464 56323429668 59957199324 67812288456 68839747372 72501436062 73281021396 76288824513 79092475704 84485144502 96668581416 101718432684 103259621058 108752154093 109921532094 112646859336 119914398648 137679494744 145002872124 146562042792 152577649026 154889431587 164882298141 168970289004 189309305273 203436865368 206519242116 217504308186 219843064188 290005744248 305155298052 309778863174 329764596282 337940578008 378618610546 413038484232 435008616372 439686128376 464668294761 567927915819 610310596104 619557726348 659529192564 757237221092 870017232744 929336589522 1135855831638 1239115452696 1319058385128 1514474442184 1703783747457 1858673179044 2271711663276 3407567494914 3717346358088 4543423326552 5111351242371 6815134989828 10222702484742 13630269979656 20445404969484 40890809938968
- Sum of all divisors σ(n): 133869625171200
- Sum of proper divisors (its aliquot sum) s(n): 92978815232232
- 40890809938968 is an abundant number, because the sum of its proper divisors (92978815232232) is greater than itself. Its abundance is 52088005293264
Bases of 40890809938968
- Binary: 10010100110000101000100011001101110100000110002
- Hexadecimal: 0x2530A2337418
- Base-36: EHSZ8GUU0
Squares and roots of 40890809938968
- 40890809938968 squared (408908099389682) is 1672058337464804171884905024
- 40890809938968 cubed (408908099389683) is 68371819684140124627601064985949916575232
-
The
square root of 40890809938968 is 6394592.2418061967 -
The
cube root of 40890809938968 is 34451.5345351891
Scales and comparisons
How big is 40890809938968?- 40,890,809,938,968 seconds is equal to 1,300,201 years, 14 weeks, 1 day, 4 hours, 22 minutes, 48 seconds.
-
To count from 1 to 40,890,809,938,968 would take you about three million, two hundred fifty thousand, five 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 40890809938968 cubic inches would be around 2871 feet tall.
Recreational maths with 40890809938968
- 40890809938968 backwards is 86983990809804
- The number of decimal digits it has is: 14
- The sum of 40890809938968's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 40890809938968 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 40890809938968 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/40890809938968/
Chicago style:
Numbermatics. 2024. "Number 40890809938968 - Facts about the integer". https://numbermatics.com/n/40890809938968/
The information we have on file for 40890809938968 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 40890809938968, math, Factors of 40890809938968, curriculum, school, college, exams, university, Prime factorization of 40890809938968, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, eight hundred ninety billion, eight hundred nine million, nine hundred thirty-eight thousand, nine hundred sixty-eight.