13674968008416
13,674,968,008,416 is an even composite number composed of six prime numbers multiplied together.
13674968008416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13674968008416:
25 × 310 × 11 × 132 × 17 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 17 × 229)See below for interesting mathematical facts about the number 13674968008416 from the Numbermatics database.
Names of 13674968008416
- Cardinal: 13674968008416 can be written as Thirteen trillion, six hundred seventy-four billion, nine hundred sixty-eight million, eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3674968008416 × 1013
Factors of 13674968008416
Divisors of 13674968008416
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 66 68 72 78 81 88 96 99 102 104 108 117 132 136 143 144 153 156 162 169 176 187 198 204 208 216 221 229 234 243 264 272 286 288 297 306 312 324 338 351 352 374 396 408 416 429 432 442 458 459 468 486 507 528 544 561 572 594 612 624 648 663 676 687 702 729 748 792 816 858 864 884 891 916 918 936 972 1014 1053 1056 1122 1144 1188 1224 1248 1287 1296 1326 1352 1374 1377 1404 1458 1496 1521 1584 1632 1683 1716 1768 1782 1832 1836 1859 1872 1944 1989 2028 2061 2106 2187 2244 2288 2376 2431 2448 2519 2574 2592 2652 2673 2704 2748 2754 2808 2873 2916 2977 2992 3042 3159 3168 3366 3432 3536 3564 3664 3672 3718 3744 3861 3888 3893 3978 4056 4122 4131 4212 4374 4488 4563 4576 4752 4862 4896 5038 5049 5148 5304 5346 5408 5496 5508 5577 5616 5746 5832 5954 5967 5984 6084 6183 6318 6561 6732 6864 7072 7128 7293 7328 7344 7436 7557 7722 7776 7786 7956 8019 8112 8244 8262 8424 8619 8748 8931 8976 9126 9477 9504 9724 10076 10098 10296 10608 10692 10992 11016 11154 11232 11492 11583 11664 11679 11908 11934 12168 12366 12393 12636 13122 13464 13689 13728 14256 14586 14688 14872 15114 15147 15444 15572 15912 16038 16224 16488 16524 16731 16848 17238 17496 17862 17901 17952 18252 18549 18954 19448 19683 20152 20196 20592 21216 21384 21879 21984 22032 22308 22671 22984 23166 23328 23358 23816 23868 24057 24336 24732 24786 25272 25857 26244 26793 26928 27378 28431 28512 29172 29744 30228 30294 30888 31144 31603 31824 32076 32747 32976 33048 33462 33696 34476 34749 34992 35037 35724 35802 36504 37098 37179 37908 38701 38896 39366 40304 40392 41067 41184 42768 42823 43758 44064 44616 45342 45441 45968 46332 46716 47632 47736 48114 48672 49464 49572 50193 50544 50609 51714 52488 53586 53703 53856 54756 55647 56862 58344 59049 59488 60456 60588 61776 62288 63206 63648 64152 65494 65637 65952 66096 66924 68013 68952 69498 69984 70074 71448 71604 72171 73008 74196 74358 75816 77402 77571 77792 78732 80379 80608 80784 82134 85293 85536 85646 87516 89232 90684 90882 91936 92664 93432 94809 95264 95472 96228 98241 98928 99144 100386 101088 101218 103428 104247 104976 105111 107172 107406 109512 111294 111537 113724 116103 116688 118098 120912 121176 123201 123552 124576 126412 128304 128469 130988 131274 132192 133848 136026 136323 137904 138996 140148 142896 143208 144342 146016 148392 148716 150579 151632 151827 154804 155142 157464 160758 161109 161568 164268 166941 170586 171292 175032 178464 181368 181764 185328 186864 189618 190944 192456 196482 196911 197856 198288 200772 202436 204039 206856 208494 209952 210222 214344 214812 216513 219024 222588 223074 227448 232206 232713 233376 236196 241137 241824 242352 246402 252824 255879 256608 256938 261976 262548 267696 272052 272646 275808 277992 280296 284427 285792 286416 288684 294723 296784 297432 301158 303264 303654 309608 310284 312741 314928 315333 321516 322218 328536 333882 334611 341172 342584 348309 350064 362736 363528 369603 370656 373728 379236 384912 385407 392964 393822 396576 401544 404872 408078 408969 413712 416988 420444 425711 428688 429624 433026 438048 445176 446148 451737 454896 455481 464412 465426 472392 482274 483327 484704 492804 500823 505648 511758 513876 523952 525096 535392 544104 545292 555984 556699 560592 568854 572832 577368 589446 590733 593568 594864 602316 607308 612117 619216 620568 625482 629856 630666 643032 644436 649539 657072 657917 667764 669222 682344 685168 696618 698139 700128 723411 725472 727056 739206 758472 767637 769824 770814 785928 787644 803088 809744 816156 817938 827424 833976 840888 851422 853281 857376 859248 866052 884169 890352 892296 903474 909792 910962 928824 930852 938223 944784 945999 964548 966654 985608 1001646 1003833 1011296 1023516 1027752 1044927 1047904 1050192 1088208 1090584 1108809 1111968 1113398 1121184 1137708 1154736 1156221 1178892 1181466 1189728 1204632 1214616 1224234 1226907 1238432 1241136 1250964 1261332 1277133 1286064 1288872 1299078 1314144 1315834 1335528 1338444 1355211 1364688 1366443 1370336 1393236 1396278 1446822 1449981 1454112 1478412 1502469 1516944 1535274 1541628 1571856 1575288 1606176 1619488 1632312 1635876 1667952 1670097 1681776 1702844 1706562 1718496 1732104 1768338 1772199 1780704 1784592 1806948 1821924 1836351 1857648 1861704 1876446 1889568 1891998 1929096 1933308 1971216 1973751 2003292 2007666 2047032 2055504 2089854 2094417 2100384 2170233 2176416 2181168 2217618 2226796 2275416 2309472 2312442 2357784 2362932 2409264 2429232 2448468 2453814 2482272 2501928 2522664 2554266 2559843 2572128 2577744 2598156 2631668 2652507 2671056 2676888 2710422 2729376 2732886 2786472 2792556 2814669 2837997 2893644 2899962 2956824 3004938 3033888 3070548 3083256 3134781 3143712 3150576 3264624 3271752 3326427 3335904 3340194 3363552 3405688 3413124 3464208 3468663 3536676 3544398 3569184 3613896 3643848 3672702 3680721 3715296 3723408 3752892 3783996 3831399 3858192 3866616 3942432 3947502 4006584 4015332 4065633 4094064 4099329 4111008 4179708 4188834 4340466 4349943 4362336 4435236 4453592 4507407 4550832 4624884 4715568 4725864 4818528 4858464 4896936 4907628 5003856 5010291 5045328 5108532 5119686 5155488 5196312 5263336 5305014 5316597 5342112 5353776 5420844 5465772 5509053 5572944 5585112 5629338 5675994 5787288 5799924 5913648 5921253 6009876 6141096 6166512 6269562 6283251 6301152 6510699 6529248 6543504 6652854 6680388 6811376 6826248 6928416 6937326 7073352 7088796 7227792 7237087 7287696 7345404 7361442 7446816 7505784 7567992 7662798 7679529 7716384 7733232 7895004 7957521 8013168 8030664 8131266 8188128 8198658 8359416 8377668 8444007 8513991 8680932 8699886 8870472 8907184 9014814 9101664 9249768 9404343 9431136 9451728 9793872 9815256 9979281 10007712 10020582 10090656 10217064 10239372 10392624 10405989 10526672 10610028 10633194 10707552 10841688 10931544 11018106 11042163 11145888 11170224 11258676 11351988 11494197 11574576 11599848 11827296 11842506 12019752 12196899 12282192 12297987 12333024 12539124 12566502 13021398 13049829 13087008 13305708 13360776 13522221 13622752 13652496 13874652 14146704 14177592 14455584 14474174 14575392 14690808 14722884 15011568 15030873 15135984 15325596 15359058 15466464 15790008 15915042 15949791 16026336 16061328 16262532 16397316 16527159 16718832 16755336 16888014 17027982 17361864 17399772 17740944 17763759 17814368 18029628 18499536 18808686 18849753 18903456 19532097 19587744 19630512 19958562 20041164 20434128 20478744 20785248 20811978 21053344 21220056 21266388 21683376 21711261 21863088 22036212 22084326 22340448 22517352 22703976 22988394 23038587 23149152 23199696 23685012 23872563 24039504 24393798 24564384 24595974 25078248 25133004 25541973 26042796 26099658 26611416 26721552 27044442 27304992 27749304 28213029 28293408 28355184 28948348 29381616 29445768 30023136 30061746 30271968 30651192 30718116 31217967 31580016 31830084 31899582 32122656 32525064 32794632 33054318 33437664 33510672 33776028 34055964 34482591 34723728 34799544 35481888 35527518 36059256 36590697 36893961 36999072 37617372 37699506 39064194 39261024 39917124 40082328 40868256 40957488 41623956 42440112 42532776 43366752 43422522 43726176 44072424 44168652 45034704 45092619 45407952 45976788 46077174 46399392 47370024 47745126 47849373 48079008 48787596 49191948 49581477 50156496 50266008 51083946 52085592 52199316 53222832 53291277 53443104 54088884 55498608 56426058 56549259 56710368 57896696 58596291 58763232 58891536 60123492 61302384 61436232 62435934 63160032 63660168 63799164 65050128 65133783 65589264 66108636 67021344 67552056 68111928 68965182 69115761 69447456 69599088 71055036 71617689 72118512 73181394 73787922 75234744 75399012 76625919 78128388 79834248 80164656 81914976 83247912 84639087 84880224 85065552 86845044 88144848 88337304 90069408 90185238 90815904 91953576 92154348 93653901 94740048 95490252 95698746 97575192 98383896 99162954 100312992 100532016 102167892 103447773 104171184 104398632 106445664 106582554 108177768 109772091 110681883 110997216 112852116 113098518 115793392 117192582 117783072 120246984 122604768 122872464 124871868 127320336 127598328 130100256 130267566 131178528 132217272 135104112 135277857 136223856 137930364 138231522 139198176 142110072 143235378 143548119 144237024 146362788 147575844 148744431 150469488 150798024 153251838 156256776 159668496 159873831 160329312 166495824 169278174 169647777 170131104 173690088 175788873 176289696 176674608 180370476 183907152 184308696 187307802 189480096 190980504 191397492 195150384 195401349 196767792 198325908 201064032 204335784 206895546 207347283 208342368 208797264 213165108 214853067 216355536 219544182 221363766 225704232 226197036 229877757 231586784 234385164 240493968 245744928 249743736 253917261 254640672 255196656 260535132 264434544 270208224 270555714 272447712 275860728 276463044 280961703 284220144 286470756 287096238 292725576 295151688 297488862 300938976 301596048 306503676 310343319 312513552 319336992 319747662 332045649 332991648 338556348 339295554 347380176 351577746 353349216 360740952 367814304 368617392 374615604 381961008 382794984 390300768 390802698 393535584 396651816 405833571 408671568 413791092 414694566 417594528 426330216 429706134 432711072 439088364 442727532 451408464 452394072 459755514 468770328 479621493 480987936 499487472 507834522 510393312 521070264 528869088 541111428 551721456 552926088 561923406 568440288 572941512 574192476 585451152 586204047 590303376 594977724 603192096 613007352 620686638 622041849 625027104 639495324 644559201 664091298 677112696 678591108 694760352 703155492 721481904 737234784 749231208 761751783 763922016 765589968 781605396 793303632 811667142 817343136 827582184 829389132 842885109 852660432 859412268 878176728 885455064 902816928 904788144 919511028 931029957 937540656 959242986 996136947 998974944 1015669044 1042140528 1082222856 1103442912 1105852176 1123846812 1145883024 1148384952 1170902304 1172408094 1180606752 1189955448 1217500713 1226014704 1241373276 1244083698 1278990648 1289118402 1328182596 1354225392 1357182216 1406310984 1438864479 1442963808 1498462416 1523503566 1531179936 1563210792 1586607264 1623334284 1655164368 1658778264 1685770218 1705320864 1718824536 1756353456 1758612141 1770910128 1809576288 1839022056 1862059914 1866125547 1875081312 1918485972 1933677603 1992273894 2031338088 2084281056 2164445712 2211704352 2247693624 2285255349 2291766048 2296769904 2344816188 2379910896 2435001426 2452029408 2482746552 2488167396 2528655327 2557981296 2578236804 2656365192 2708450784 2714364432 2793089871 2812621968 2877728958 2988410841 2996924832 3047007132 3126421584 3246668568 3310328736 3317556528 3371540436 3437649072 3512706912 3517224282 3541820256 3652502139 3678044112 3724119828 3732251094 3836971944 3867355206 3984547788 4062676176 4316593437 4328891424 4495387248 4570510698 4593539808 4689632376 4759821792 4870002852 4965493104 4976334792 5057310654 5115962592 5156473608 5275836423 5312730384 5428728864 5586179742 5625243936 5755457916 5976821682 6094014264 6252843168 6493337136 6635113056 6743080872 6875298144 7034448564 7305004278 7356088224 7448239656 7464502188 7673943888 7734710412 7969095576 8125352352 8379269613 8633186874 8990774496 9141021396 9379264752 9740005704 9930986208 9952669584 10114621308 10312947216 10551672846 10625460768 10957506417 11172359484 11510915832 11953643364 12188028528 12949780311 12986674272 13486161744 14068897128 14610008556 14896479312 14929004376 15347887776 15469420824 15827509269 15938191152 16758539226 17266373748 18282042792 18758529504 19480011408 19905339168 20229242616 20625894432 21103345692 21915012834 22344718968 23021831664 23907286728 24376057056 25137808839 25899560622 26972323488 28137794256 29220017112 29792958624 29858008752 30938841648 31655018538 31876382304 32872519251 33517078452 34532747496 36564085584 38849340933 38960022816 40458485232 42206691384 43830025668 44689437936 46043663328 47482527807 47814573456 50275617678 51799121244 56275588512 58440034224 59716017504 61877683296 63310037076 65745038502 67034156904 69065494992 73128171168 77698681866 80916970464 84413382768 87660051336 89378875872 94965055614 95629146912 100551235356 103598242488 116880068448 126620074152 131490077004 134068313808 138130989984 142447583421 155397363732 168826765536 175320102672 189930111228 201102470712 207196484976 253240148304 262980154008 268136627616 284895166842 310794727464 350640205344 379860222456 402204941424 414392969952 427342750263 506480296608 525960308016 569790333684 621589454928 759720444912 804409882848 854685500526 1051920616032 1139580667368 1243178909856 1519440889824 1709371001052 2279161334736 3418742002104 4558322669472 6837484004208 13674968008416
- Sum of all divisors σ(n): 50731135252560
- Sum of proper divisors (its aliquot sum) s(n): 37056167244144
- 13674968008416 is an abundant number, because the sum of its proper divisors (37056167244144) is greater than itself. Its abundance is 23381199235728
Bases of 13674968008416
- Binary: 110001101111111100111001110001000110111000002
- Hexadecimal: 0xC6FF39C46E0
- Base-36: 4UI6YVI00
Squares and roots of 13674968008416
- 13674968008416 squared (136749680084162) is 187004750031201061446829056
- 13674968008416 cubed (136749680084163) is 2557283974098505493114009175406721335296
-
The
square root of 13674968008416 is 3697968.0918601773 -
The
cube root of 13674968008416 is 23913.4428371871
Scales and comparisons
How big is 13674968008416?- 13,674,968,008,416 seconds is equal to 434,821 years, 35 weeks, 3 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,674,968,008,416 would take you about one million, eighty-seven thousand and fifty-four 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 13674968008416 cubic inches would be around 1992.8 feet tall.
Recreational maths with 13674968008416
- 13674968008416 backwards is 61480086947631
- The number of decimal digits it has is: 14
- The sum of 13674968008416's digits is 63
- 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 13674968008416 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 13674968008416 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13674968008416/
Chicago style:
Numbermatics. 2024. "Number 13674968008416 - Facts about the integer". https://numbermatics.com/n/13674968008416/
The information we have on file for 13674968008416 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 13674968008416, math, Factors of 13674968008416, curriculum, school, college, exams, university, Prime factorization of 13674968008416, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred seventy-four billion, nine hundred sixty-eight million, eight thousand, four hundred sixteen.