3468824016768
3,468,824,016,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3468824016768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
3468824016768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 3468824016768:
27 × 33 × 11 × 31 × 61 × 73 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 31 × 61 × 73 × 661)See below for interesting mathematical facts about the number 3468824016768 from the Numbermatics database.
Names of 3468824016768
- Cardinal: 3468824016768 can be written as Three trillion, four hundred sixty-eight billion, eight hundred twenty-four million, sixteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.468824016768 × 1012
Factors of 3468824016768
Divisors of 3468824016768
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 61 62 64 66 72 73 88 93 96 99 108 122 124 128 132 144 146 176 183 186 192 198 216 219 244 248 264 279 288 292 297 341 352 366 372 384 396 432 438 488 496 528 549 558 576 584 594 657 661 671 682 704 732 744 792 803 837 864 876 976 992 1023 1056 1098 1116 1152 1168 1188 1314 1322 1342 1364 1408 1464 1488 1584 1606 1647 1674 1728 1752 1891 1952 1971 1983 1984 2013 2046 2112 2196 2232 2263 2336 2376 2409 2628 2644 2684 2728 2928 2976 3069 3168 3212 3294 3348 3456 3504 3782 3904 3942 3966 3968 4026 4092 4224 4392 4453 4464 4526 4672 4752 4818 5256 5288 5368 5456 5673 5856 5949 5952 6039 6138 6336 6424 6588 6696 6789 7008 7227 7271 7564 7808 7884 7932 8052 8184 8784 8906 8928 9052 9207 9344 9504 9636 10512 10576 10736 10912 11346 11712 11898 11904 12078 12276 12672 12848 13176 13359 13392 13578 14016 14454 14542 15128 15768 15864 16104 16368 17019 17568 17812 17847 17856 18104 18117 18414 19008 19272 20367 20491 20801 21024 21152 21472 21681 21813 21824 22692 23424 23796 24156 24552 24893 25696 26352 26718 26784 27156 28032 28908 29084 30256 31536 31728 32208 32736 34038 35136 35624 35694 35712 36208 36234 36828 38016 38544 40077 40321 40734 40982 41602 42048 42304 42944 43362 43626 43648 45384 47592 48253 48312 48983 49104 49786 51057 51392 52704 53436 53568 54312 57816 58168 60512 61101 61473 62403 63072 63456 64416 65439 65472 68076 70272 71248 71388 72416 72468 73656 74679 77088 80154 80642 81468 81964 83204 84096 84608 85888 86724 87252 90768 95184 96506 96624 97966 98208 99572 102114 102784 105408 106872 107136 108624 115632 116336 120231 120963 121024 122202 122946 124806 126144 126912 128832 130878 130944 136152 138043 142496 142776 144759 144832 144936 146949 147312 149358 154176 160308 161284 162936 163928 166408 173448 174504 181536 184419 187209 190368 193012 193248 195932 196317 196416 199144 204228 210816 213744 217248 224037 225401 231264 232672 240462 241926 242048 244404 245892 249612 252288 253824 257664 261756 272304 276086 284992 285552 289518 289664 289872 293898 294624 298716 308352 320616 322568 325872 327856 332816 346896 349008 362889 363072 368838 374418 380736 386024 386496 391864 392634 392832 398288 408456 414129 427488 434277 434496 440847 443531 448074 450802 462528 465344 480924 483852 488808 491784 499224 523512 530783 544608 552172 553257 561627 569984 571104 579036 579744 587796 589248 597432 641232 645136 651744 655712 665632 672111 676203 693792 698016 725778 726144 737676 748836 761472 772048 772992 783728 785268 796576 816912 828258 854976 868554 868992 881694 887062 896148 901604 925056 930688 961848 967704 977616 983568 998448 1047024 1061566 1088667 1089216 1104344 1106514 1123254 1142208 1158072 1159488 1175592 1178496 1194864 1242387 1249951 1282464 1290272 1302831 1303488 1311424 1322541 1330593 1331264 1344222 1352406 1387584 1396032 1451556 1475352 1495843 1497672 1518473 1544096 1567456 1570536 1592349 1593152 1633824 1656516 1709952 1737108 1763388 1774124 1792296 1803208 1923696 1935408 1955232 1967136 1996896 2028609 2094048 2123132 2177334 2178432 2208688 2213028 2246508 2284416 2316144 2318976 2351184 2389728 2484774 2499902 2564928 2580544 2605662 2606976 2622848 2645082 2661186 2662528 2688444 2704812 2775168 2792064 2903112 2943433 2950704 2991686 2995344 3036946 3088192 3134912 3141072 3184698 3186304 3267648 3313032 3474216 3526776 3548248 3584592 3606416 3727161 3749853 3847392 3870816 3910464 3934272 3991779 3993792 4057218 4188096 4246264 4354668 4417376 4426056 4487529 4493016 4555419 4632288 4702368 4777047 4779456 4969548 4999804 5129856 5161088 5211324 5290164 5322372 5376888 5409624 5806224 5886866 5901408 5983372 5990688 6073892 6085827 6176384 6269824 6282144 6369396 6535296 6626064 6948432 7053552 7096496 7169184 7212832 7454322 7499706 7694784 7741632 7820928 7868544 7983558 7987584 8114436 8376192 8492528 8709336 8830299 8834752 8852112 8975058 8986032 9110838 9264576 9404736 9554094 9558912 9939096 9999608 10422648 10580328 10644744 10753776 10819248 11249559 11612448 11773732 11802816 11966744 11975337 11981376 12147784 12171654 12564288 12738792 13252128 13462587 13666257 13749461 13896864 14107104 14192992 14331141 14338368 14425664 14908644 14999412 15389568 15483264 15967116 16228872 16454273 16985056 17418672 17660598 17669504 17704224 17950116 17972064 18221676 18529152 18809472 19108188 19878192 19999216 20845296 21160656 21289488 21507552 21638496 22499118 23224896 23547464 23605632 23933488 23950674 23962752 24295568 24343308 25128576 25477584 26490897 26504256 26925174 27332514 27498922 27793728 28214208 28385984 28662282 28676736 28851328 29817288 29998824 31934232 32377763 32457744 32908546 33748677 33970112 34837344 35321196 35408448 35900232 35944128 36443352 38216376 39756384 39998432 40387761 40998771 41248383 41690592 42321312 42578976 43015104 43276992 44998236 46449792 47094928 47866976 47901348 48591136 48686616 49362819 50955168 52981794 53008512 53850348 54665028 54997844 55587456 56428416 56771968 57324564 59634576 59997648 63868464 64755526 64915488 65817092 67497354 67940224 69674688 70642392 70816896 71800464 71888256 72886704 76432752 79472691 79512768 79996864 80775522 81997542 82496766 83381184 84642624 85157952 86030208 86553984 89996472 91246423 94189856 95733952 95802696 97133289 97182272 97373232 98725638 101910336 105963588 107700696 109330056 109995688 114649128 119269152 119995296 123745149 127736928 129511052 129830976 131634184 134994708 139349376 141284784 143600928 145773408 148088457 152865504 158945382 159025536 159993728 161551044 163995084 164993532 166762368 169285248 170315904 179992944 182492846 188379712 191467904 191605392 194266578 194364544 194746464 197451276 203820672 211927176 215401392 218660112 219991376 229298256 238538304 239990592 247490298 255473856 259022104 259661952 263268368 269989416 273739269 282569568 287201856 291399867 291546816 296176914 305731008 317890764 323102088 327990168 329987064 359985888 364985692 371235447 376759424 383210784 388533156 389492928 394902552 423854352 430802784 437320224 439982752 444265371 458596512 477076608 479981184 494980596 510947712 518044208 526536736 539978832 547478538 565139136 574403712 582799734 583093632 592353828 611462016 635781528 646204176 655980336 659974128 719971776 729971384 742470894 766421568 777066312 778985856 789805104 821217807 847708704 861605568 874199601 874640448 879965504 888530742 917193024 989961192 1003710653 1036088416 1053073472 1079957664 1094957076 1130278272 1165599468 1184707656 1271563056 1292408352 1311960672 1319948256 1439943552 1459942768 1484941788 1532843136 1554132624 1579610208 1642435614 1695417408 1723211136 1748399202 1749280896 1759931008 1777061484 1834386048 1979922384 2007421306 2072176832 2106146944 2159915328 2189914152 2331198936 2369415312 2463653421 2543126112 2584816704 2623921344 2639896512 2919885536 2969883576 3011131959 3108265248 3159220416 3284871228 3390834816 3496798404 3554122968 3959844768 4014842612 4144353664 4319830656 4379828304 4662397872 4738830624 4927306842 5086252224 5169633408 5247842688 5279793024 5839771072 5939767152 6022263918 6216530496 6318440832 6569742456 6993596808 7108245936 7919689536 8029685224 8759656608 9033395877 9324795744 9477661248 9854613684 10172504448 11679542144 11879534304 12044527836 12433060992 13139484912 13987193616 14216491872 15839379072 16059370448 17519313216 18066791754 18649591488 18955322496 19709227368 23759068608 24089055672 26278969824 27100187631 27974387232 28432983744 32118740896 35038626432 36133583508 37299182976 39418454736 47518137216 48178111344 52557939648 54200375262 55948774464 56865967488 64237481792 72267167016 78836909472 96356222688 105115879296 108400750524 111897548928 128474963584 144534334032 157673818944 192712445376 216801501048 289068668064 315347637888 385424890752 433603002096 578137336128 867206004192 1156274672256 1734412008384 3468824016768
- Sum of all divisors σ(n): 11896324300800
- Sum of proper divisors (its aliquot sum) s(n): 8427500284032
- 3468824016768 is an abundant number, because the sum of its proper divisors (8427500284032) is greater than itself. Its abundance is 4958676267264
Bases of 3468824016768
- Binary: 1100100111101001100000010111110111100000002
- Hexadecimal: 0x327A605F780
- Base-36: 189K099C0
Squares and roots of 3468824016768
- 3468824016768 squared (34688240167682) is 12032740059306481945165824
- 3468824016768 cubed (34688240167683) is 41739457705248733241408983527516536832
-
The
square root of 3468824016768 is 1862477.9238337297 -
The
cube root of 3468824016768 is 15137.7300352183
Scales and comparisons
How big is 3468824016768?- 3,468,824,016,768 seconds is equal to 110,297 years, 45 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 3,468,824,016,768 would take you about two hundred seventy-five thousand, seven hundred forty-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 3468824016768 cubic inches would be around 1261.5 feet tall.
Recreational maths with 3468824016768
- 3468824016768 backwards is 8676104288643
- The number of decimal digits it has is: 13
- The sum of 3468824016768's digits is 63
- More coming soon!
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Cite this page
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The information we have on file for 3468824016768 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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