420149949168144
420,149,949,168,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 420149949168144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
420149949168144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 420149949168144:
24 × 3 × 133 × 193 × 732 × 109
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 19 × 19 × 19 × 73 × 73 × 109)See below for interesting mathematical facts about the number 420149949168144 from the Numbermatics database.
Names of 420149949168144
- Cardinal: 420149949168144 can be written as Four hundred twenty trillion, one hundred forty-nine billion, nine hundred forty-nine million, one hundred sixty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.20149949168144 × 1014
Factors of 420149949168144
Divisors of 420149949168144
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 73 76 78 104 109 114 146 152 156 169 208 218 219 228 247 292 304 312 327 338 361 436 438 456 494 507 584 624 654 676 722 741 872 876 912 949 988 1014 1083 1168 1308 1352 1387 1417 1444 1482 1744 1752 1898 1976 2028 2071 2166 2197 2616 2704 2774 2834 2847 2888 2964 3211 3504 3796 3952 4056 4142 4161 4251 4332 4394 4693 5232 5329 5548 5668 5694 5776 5928 6213 6422 6591 6859 7592 7957 8112 8284 8322 8502 8664 8788 9386 9633 10658 11096 11336 11388 11856 12337 12426 12844 13182 13718 14079 15184 15914 15987 16568 16644 17004 17328 17576 18031 18421 18772 19266 20577 21316 22192 22672 22776 23871 24674 24852 25688 26353 26364 26923 27436 28158 31828 31974 33136 33288 34008 35152 36062 36842 37011 37544 38532 39349 41154 41743 42632 45552 47742 49348 49704 51376 52706 52728 53846 54093 54872 55263 56316 61009 63656 63948 66576 68016 69277 72124 73684 74022 75088 77064 78698 79059 80769 82308 83486 85264 89167 95484 98696 99408 101251 103441 105412 105456 107692 108186 109744 110526 112632 118047 122018 125229 127312 127896 138554 144248 147368 148044 151183 154128 157396 158118 160381 161538 164616 166972 178334 183027 190968 197392 202502 206882 207831 210824 215384 216372 221052 225264 234403 236094 239473 244036 250458 255792 267501 277108 288496 294736 296088 302366 303753 310323 314792 316236 320762 323076 329232 333944 342589 349999 356668 366054 381936 405004 413764 415662 421648 430768 432744 442104 453549 468806 472188 478946 481143 488072 500707 500916 511537 535002 554216 580861 592176 604732 607506 620646 629584 632472 641524 646152 667888 685178 699998 703209 713336 718419 732108 747631 793117 810008 827528 831324 865488 884208 900601 907098 937612 944376 957892 962286 976144 1001414 1001832 1023074 1027767 1049997 1070004 1108432 1159171 1161722 1209464 1215012 1241292 1264944 1283048 1292304 1316263 1344733 1370356 1399996 1406418 1426672 1436838 1464216 1495262 1502121 1534611 1586234 1620016 1655056 1662648 1742583 1801202 1814196 1875224 1888752 1915784 1923769 1924572 1965379 2002828 2003664 2046148 2055534 2099994 2140008 2242893 2318342 2323444 2379351 2418928 2430024 2482584 2566096 2632526 2689466 2701803 2740712 2799992 2812836 2872477 2873676 2928432 2990524 3004242 3047239 3069222 3172468 3325296 3477513 3485166 3602404 3628392 3750448 3831568 3847538 3849144 3930758 3948789 4005656 4034199 4092296 4111068 4199988 4280016 4453657 4485786 4549987 4636684 4646888 4758702 4860048 4965168 5265052 5378932 5403606 5481424 5599984 5625672 5744954 5747352 5771307 5896137 5981048 6008484 6094478 6138444 6344936 6509191 6649981 6955026 6970332 7204808 7256784 7551193 7695076 7698288 7861516 7897578 8011312 8068398 8184592 8222136 8399976 8617431 8907314 8971572 9099974 9141717 9273368 9293776 9517404 9719203 10530104 10757864 10807212 11036359 11251344 11489908 11494704 11542614 11707813 11792274 11962096 12016968 12188956 12276888 12689872 13018382 13299962 13360971 13649961 13910052 13940664 14409616 15069223 15102386 15390152 15723032 15795156 16136796 16444272 16799952 17111419 17234862 17481529 17814628 17943144 18199948 18283434 18546736 19034808 19438406 19527573 19949943 21060208 21515728 21614424 22072718 22653579 22979816 23085228 23415626 23584548 24033936 24377912 24553776 25008997 25549927 26036764 26599924 26721942 27299922 27820104 27881328 29157609 30138446 30204772 30780304 31446064 31590312 32273592 33109077 34222838 34469724 34963058 35123439 35629256 35886288 36399896 36551611 36566868 37342201 38069616 38876812 39055146 39899886 43228848 44145436 45207669 45307158 45959632 46170456 46831252 47169096 48755824 50017994 51099854 51334257 52073528 52444587 53199848 53443884 54577063 54599844 55640208 57897541 58315218 60276892 60409544 63180624 64547184 66218154 68445676 68939448 69926116 70246878 71258512 72799792 73103222 73133736 74684402 75026991 76649781 77753624 78110292 79799772 84619483 86449753 88290872 90415338 90614316 92340912 93662504 94338192 98165509 100035988 102199708 102668514 104147056 104889174 106399696 106887768 109154126 109199688 109654833 112026603 115795082 116630436 120553784 120819088 126349639 132436308 136891352 137878896 139852232 140493756 143472667 146206444 146267472 149368804 150053982 153299562 155507248 156220584 159599544 163731189 169238966 172899506 173692623 176581744 180830676 181228632 187325008 196331018 200071976 204399416 205337028 209690821 209778348 213775536 218308252 218399376 219309666 222448447 224053206 231590164 233260872 241107568 252699278 253858449 259349259 264872616 273782704 279704464 280987512 286945334 292412888 294496527 298737608 300107964 306599124 312441168 319199088 325116961 327462378 332149051 338477932 345799012 347385246 361661352 362457264 379048917 392662036 400143952 408798832 410674056 419381642 419556696 430418001 436616504 438619332 444896894 448106412 463180328 466521744 475170943 485448613 505398556 507716898 518698518 529745232 561975024 573890668 584825776 588993054 597475216 600215928 613198248 629072463 650233922 654924756 664298102 667345341 676955864 691598024 694770492 709501819 723322704 758097834 785324072 821348112 838763284 839113392 860836002 873233008 877238664 889793788 896212824 926360656 950341886 970897226 975350883 996447153 1010797112 1015433796 1037397036 1100053279 1147781336 1177986108 1200431856 1226396496 1258144926 1276151617 1300467844 1309849512 1328596204 1334690682 1353911728 1383196048 1389540984 1419003638 1425512829 1456345839 1516195668 1570648144 1642545307 1677526568 1721672004 1754477328 1779587576 1792425648 1865144671 1900683772 1941794452 1950701766 1992894306 2021594224 2030867592 2074794072 2128505457 2200106558 2295562672 2355972216 2516289852 2552303234 2600935688 2619699024 2657192408 2669381364 2725980673 2779081968 2838007276 2851025658 2912691678 3032391336 3285090614 3300159837 3355053136 3443344008 3559175152 3730289342 3801367544 3828454851 3883588904 3901403532 3984125599 3985788612 4061735184 4149588144 4226520493 4257010914 4400213116 4711944432 4927635921 5032579704 5104606468 5201871376 5314384816 5338762728 5451961346 5595434013 5676014552 5702051316 5825383356 6064782672 6177222259 6310831969 6570181228 6600319674 6886688016 7460578684 7602735088 7656909702 7767177808 7802807064 7968251198 7971577224 8177942019 8453040986 8514021828 8800426232 9223523647 9855271842 10065159408 10209212936 10677525456 10903922692 11190868026 11352029104 11404102632 11650766712 11952376797 12354444518 12621663938 12679561479 13140362456 13200639348 14921157368 15313819404 15605614128 15936502396 15943154448 16355884038 16906081972 17028043656 17600852464 18447047294 18531666777 18932495907 19710543684 20418425872 21807845384 22381736052 22808205264 23301533424 23904753594 24246880723 24708889036 25243327876 25359122958 26280724912 26401278696 27670570941 29842314736 30627638808 31873004792 32711768076 33812163944 34056087312 35437748749 36894094588 37063333554 37864991814 39421087368 43615690768 44763472104 47809507188 48493761446 49417778072 50486655752 50718245916 51793632787 52802557392 55341141882 61255277616 63746009584 65423536152 67624327888 70875497498 72740642169 73788189176 74126667108 75729983628 78842174736 80303889367 89526944208 95619014376 96987522892 98835556144 100973311504 101436491832 103587265574 106313246247 110682283764 119905807411 130847072304 141750994996 145481284338 147576378352 148253334216 151459967256 155380898361 160607778734 191238028752 193975045784 202872983664 207174531148 212626492494 221364567528 239811614822 240911668101 283501989992 290962568676 296506668432 302919934512 310761796722 321215557468 359717422233 387950091568 414349062296 425252984988 442729135056 460690733737 479623229644 481823336202 567003979984 581925137352 621523593444 642431114936 673317226231 719434844466 828698124592 850505969976 921381467474 959246459288 963646672404 1163850274704 1243047186888 1284862229872 1346634452462 1382072201211 1438869688932 1701011939952 1842762934948 1918492918576 1927293344808 2019951678693 2486094373776 2693268904924 2764144402422 2877739377864 3685525869896 3854586689616 4039903357386 5386537809848 5528288804844 5755478755728 7371051739792 8079806714772 8753123941003 10773075619696 11056577609688 16159613429544 17506247882006 22113155219376 26259371823009 32319226859088 35012495764012 52518743646018 70024991528024 105037487292036 140049983056048 210074974584072 420149949168144
- Sum of all divisors σ(n): 1269886367904000
- Sum of proper divisors (its aliquot sum) s(n): 849736418735856
- 420149949168144 is an abundant number, because the sum of its proper divisors (849736418735856) is greater than itself. Its abundance is 429586469567712
Bases of 420149949168144
- Binary: 10111111000011111110010000111100011111010000100002
- Hexadecimal: 0x17E1FC878FA10
- Base-36: 44XI7ZS8PC
Squares and roots of 420149949168144
- 420149949168144 squared (4201499491681442) is 176525979785993987077584404736
- 420149949168144 cubed (4201499491681443) is 74167381433942188930089919656199110613929984
-
The
square root of 420149949168144 is 20497559.5905498955 -
The
cube root of 420149949168144 is 74897.6351148205
Scales and comparisons
How big is 420149949168144?- 420,149,949,168,144 seconds is equal to 13,359,468 years, 40 weeks, 1 day, 21 hours, 22 minutes, 24 seconds.
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To count from 1 to 420,149,949,168,144 would take you about thirty-three million, three hundred ninety-eight thousand, six hundred seventy-one 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 420149949168144 cubic inches would be around 6241.5 feet tall.
Recreational maths with 420149949168144
- 420149949168144 backwards is 441861949941024
- The number of decimal digits it has is: 15
- The sum of 420149949168144's digits is 66
- More coming soon!
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The information we have on file for 420149949168144 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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