420138534816
420,138,534,816 is an even composite number composed of seven prime numbers multiplied together.
420138534816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 420138534816:
25 × 32 × 7 × 112 × 13 × 192 × 367
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 19 × 19 × 367)See below for interesting mathematical facts about the number 420138534816 from the Numbermatics database.
Names of 420138534816
- Cardinal: 420138534816 can be written as Four hundred twenty billion, one hundred thirty-eight million, five hundred thirty-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.20138534816 × 1011
Factors of 420138534816
Divisors of 420138534816
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 28 32 33 36 38 39 42 44 48 52 56 57 63 66 72 76 77 78 84 88 91 96 99 104 112 114 117 121 126 132 133 143 144 152 154 156 168 171 176 182 198 208 209 224 228 231 234 242 247 252 264 266 273 286 288 304 308 312 336 342 352 361 363 364 367 396 399 416 418 429 456 462 468 484 494 504 528 532 546 572 608 616 624 627 672 684 693 722 726 728 734 741 792 798 819 836 847 858 912 924 936 968 988 1001 1008 1056 1064 1083 1089 1092 1101 1144 1197 1232 1248 1254 1287 1368 1386 1444 1452 1456 1463 1468 1482 1573 1584 1596 1638 1672 1694 1716 1729 1824 1848 1872 1881 1936 1976 2002 2016 2128 2166 2178 2184 2202 2223 2288 2299 2394 2464 2508 2527 2541 2569 2574 2717 2736 2772 2888 2904 2912 2926 2936 2964 3003 3146 3168 3192 3249 3276 3303 3344 3388 3432 3458 3696 3744 3762 3872 3952 3971 4004 4037 4256 4332 4356 4368 4389 4404 4446 4576 4598 4693 4719 4771 4788 5016 5054 5082 5138 5148 5187 5434 5472 5544 5776 5808 5852 5872 5928 6006 6292 6384 6498 6552 6606 6688 6776 6864 6897 6916 6973 7392 7524 7581 7623 7707 7904 7942 8008 8074 8151 8664 8712 8736 8778 8808 8892 9009 9196 9386 9438 9542 9576 10032 10108 10164 10276 10296 10374 10868 11011 11088 11552 11616 11704 11744 11856 11913 12012 12111 12584 12768 12996 13104 13167 13212 13552 13728 13794 13832 13946 14079 14157 14313 15048 15162 15246 15414 15561 15884 16016 16093 16148 16302 17328 17424 17556 17616 17784 18018 18392 18772 18876 19019 19084 19152 20064 20216 20328 20552 20592 20691 20748 20919 21736 22022 22176 22743 23121 23408 23712 23826 24024 24222 24453 25168 25992 26208 26334 26424 27104 27588 27664 27797 27892 28158 28259 28314 28626 29887 30096 30324 30492 30828 31122 31768 32032 32186 32296 32604 32851 33033 33397 34656 34848 35112 35232 35568 35739 36036 36333 36784 37544 37752 38038 38168 38304 40432 40656 41104 41184 41382 41496 41838 42237 42939 43472 43681 44044 44407 45486 46242 46816 47652 48048 48279 48444 48811 48906 50336 51623 51984 52481 52668 52848 55176 55328 55594 55784 56316 56518 56628 57057 57252 59774 60192 60648 60984 61656 62244 62757 63536 64372 64592 65208 65702 66066 66794 70224 71136 71478 72072 72666 73568 75088 75504 76076 76336 76703 80864 81312 82208 82764 82992 83391 83676 84474 84777 85878 86944 87362 88088 88814 89661 90649 90972 92484 95304 96096 96558 96888 97622 97812 98553 99099 100191 103246 103968 104962 105336 105696 110352 111188 111568 112632 113036 113256 114114 114504 119548 121296 121968 123312 124488 125514 127072 128744 129184 130416 131043 131404 132132 132487 133221 133588 140448 142956 144144 144837 145332 146433 150176 151008 152152 152672 153406 154869 157443 165528 165984 166782 167352 168948 169554 171171 171756 174724 176176 177628 179322 181298 181944 184968 190608 193116 193776 195244 195624 197106 198198 200382 206492 209209 209924 210672 220704 222376 223136 225264 226072 226512 228228 229008 230109 239096 242592 243936 246624 248976 250173 251028 254331 257488 260832 262086 262808 264264 264974 266442 267176 268983 271947 285912 288288 289674 290664 292866 295659 300573 304304 305767 306812 309738 310849 314886 331056 333564 334704 337896 339108 342342 343512 349448 352352 355256 358644 361361 362596 363888 367367 369936 381216 386232 387552 390488 391248 393129 394212 396396 397461 399663 400764 412984 418418 419848 421344 439299 444752 450528 452144 453024 456456 458016 460218 464607 472329 478192 497952 500346 502056 508662 514976 524172 525616 528528 529948 532884 534352 536921 537966 543894 567853 571824 577291 579348 581328 585732 591318 601146 608608 611534 613624 619476 621698 627627 629772 634543 662112 667128 669408 675792 678216 684684 687024 690327 698896 710512 717288 722722 725192 727776 734734 739872 772464 780976 782496 786258 788424 792792 794922 799326 801528 815841 825968 836836 839696 843733 878598 889504 904288 912912 917301 920436 927409 929214 932547 944658 956384 997139 1000692 1004112 1017324 1048344 1051232 1057056 1059896 1065768 1068704 1073842 1075932 1084083 1087788 1102101 1135706 1143648 1154582 1158696 1162656 1171464 1182636 1192383 1202292 1223068 1227248 1238952 1243396 1255254 1259544 1269086 1334256 1351584 1356432 1369368 1374048 1380654 1397792 1421024 1434576 1445444 1450384 1457357 1469468 1544928 1561952 1572516 1576848 1585584 1589844 1598652 1603056 1610763 1631682 1651936 1673672 1679392 1687466 1703559 1722331 1731873 1757196 1825824 1834602 1840872 1854818 1858428 1865094 1882881 1889316 1903629 1994278 2001384 2008224 2034648 2096688 2119792 2131536 2147684 2151864 2168166 2175576 2204202 2271412 2309164 2317392 2342928 2365272 2384766 2404584 2446136 2454496 2477904 2486792 2510508 2519088 2531199 2538172 2668512 2712864 2738736 2751903 2761308 2782227 2797641 2869152 2890888 2900768 2914714 2938936 2991417 3145032 3153696 3171168 3179688 3197304 3206112 3221526 3252249 3263364 3306303 3347344 3374932 3407118 3444662 3463746 3514392 3669204 3681744 3709636 3716856 3730188 3765762 3778632 3807258 3974971 3988556 4002768 4041037 4069296 4193376 4239584 4263072 4295368 4303728 4336332 4351152 4372071 4408404 4542824 4618328 4634784 4685856 4730544 4769532 4809168 4832289 4892272 4955808 4973584 5021016 5038176 5062398 5076344 5110677 5166993 5195619 5477472 5503806 5522616 5564454 5595282 5710887 5781776 5829428 5877872 5906131 5982834 6290064 6359376 6394608 6443052 6504498 6526728 6612606 6694688 6749864 6814236 6889324 6927492 6979973 7028784 7338408 7363488 7419272 7433712 7460376 7531524 7557264 7593597 7614516 7949942 7977112 8005536 8082074 8138592 8346681 8590736 8607456 8672664 8702304 8744142 8816808 8974251 9085648 9236656 9461088 9539064 9618336 9664578 9784544 9947168 10042032 10124796 10152688 10201499 10221354 10333986 10391238 10968529 11007612 11045232 11128908 11190564 11421774 11563552 11658856 11755744 11812262 11924913 11965668 12056317 12123111 12580128 12718752 12789216 12886104 13008996 13053456 13116213 13225212 13499728 13628472 13778648 13854984 13959946 14057568 14676816 14838544 14867424 14920752 15063048 15114528 15187194 15229032 15500979 15899884 15954224 16030927 16164148 16693362 17181472 17345328 17488284 17633616 17718393 17948502 18171296 18473312 18945641 19078128 19329156 20084064 20249592 20305376 20402998 20442708 20667972 20782476 20939919 21937058 22015224 22090464 22257816 22381128 22843548 23317712 23624524 23849826 23931336 24112634 24246222 25772208 26017992 26106912 26232426 26450424 26999456 27256944 27557296 27709968 27919892 29353632 29677088 29841504 30126096 30374388 30458064 30604497 31001958 31799768 31908448 32061854 32328296 32905587 33386724 34690656 34976568 35267232 35436786 35774739 35897004 36168951 36369333 37891282 38156256 38658312 40499184 40805996 40885416 41335944 41564952 41879838 43874116 44030448 44515632 44762256 45687096 46635424 47249048 47699652 47862672 48092781 48225268 48492444 51544416 52035984 52464852 52900848 53155179 54513888 55114592 55419936 55839784 56836923 60252192 60748776 60916128 61208994 62003916 62819757 63599536 64123708 64656592 65811174 66773448 69953136 70873572 71549478 71794008 72337902 72738666 75782564 76779703 77316624 80998368 81611992 81770832 82671888 83129904 83759676 87748232 88060896 89031264 89524512 91374192 91813491 94498096 95399304 95725344 96185562 96450536 96984888 98716761 104071968 104929704 105801696 106310358 108506853 111679568 112216489 113673846 121497552 122417988 124007832 125639514 127199072 128247416 129313184 131622348 132619487 133546896 139906272 141747144 143098956 143588016 144278343 144675804 145477332 151565128 153559406 154633248 163223984 163541664 165343776 166259808 167519352 170510769 175496464 182748384 183626982 188996192 190798608 192371124 192901072 193969776 197433522 208402051 209859408 212620716 217013706 223359136 224432978 227347692 230339109 242995104 244835976 248015664 251279028 256494832 263244696 265238974 267093792 283494288 286197912 287176032 288556686 289351608 290954664 303130256 307118812 326447968 335038704 336649467 341021538 350992928 367253964 381597216 384742248 385802144 387939552 394867044 397858461 416804102 419718816 425241432 434027412 448865956 454695384 460678218 489671952 496031328 502558056 512989664 526489392 530477948 566988576 572395824 577113372 578703216 581909328 606260512 614237624 625206153 670077408 673298934 682043076 691017327 734507928 769484496 789734088 795716922 833608204 850482864 868054824 897731912 909390768 921356436 979343904 1005116112 1009948401 1052978784 1060955896 1144791648 1154226744 1157406432 1163818656 1193575383 1228475248 1250412306 1346597868 1364086152 1382034654 1458814357 1469015856 1538968992 1579468176 1591433844 1667216408 1700965728 1736109648 1795463824 1818781536 1842712872 1875618459 2010232224 2019896802 2121911792 2308453488 2387150766 2456950496 2500824612 2693195736 2728172304 2764069308 2917628714 2938031712 3158936352 3182867688 3334432816 3472219296 3590927648 3685425744 3751236918 4039793604 4243823584 4376443071 4616906976 4774301532 5001649224 5386391472 5456344608 5528138616 5835257428 6365735376 6668865632 7370851488 7502473836 8079587208 8752886142 9548603064 10003298448 10772782944 11056277232 11670514856 12731470752 13129329213 15004947672 16159174416 17505772284 19097206128 20006596896 22112554464 23341029712 26258658426 30009895344 32318348832 35011544568 38194412256 46682059424 52517316852 60019790688 70023089136 105034633704 140046178272 210069267408 420138534816
- Sum of all divisors σ(n): 1710512923392
- Sum of proper divisors (its aliquot sum) s(n): 1290374388576
- 420138534816 is an abundant number, because the sum of its proper divisors (1290374388576) is greater than itself. Its abundance is 870235853760
Bases of 420138534816
- Binary: 1100001110100100011010101000111101000002
- Hexadecimal: 0x61D23547A0
- Base-36: 5D0BMW80
Squares and roots of 420138534816
- 420138534816 squared (4201385348162) is 176516388437335244153856
- 420138534816 cubed (4201385348163) is 74161336809073953310198689516650496
-
The
square root of 420138534816 is 648180.9429596029 -
The
cube root of 420138534816 is 7489.6956852433
Scales and comparisons
How big is 420138534816?- 420,138,534,816 seconds is equal to 13,359 years, 5 weeks, 3 days, 12 hours, 33 minutes, 36 seconds.
-
To count from 1 to 420,138,534,816 would take you about twenty-six thousand, seven hundred eighteen 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 420138534816 cubic inches would be around 624.1 feet tall.
Recreational maths with 420138534816
- 420138534816 backwards is 618435831024
- The number of decimal digits it has is: 12
- The sum of 420138534816's digits is 45
- More coming soon!
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The information we have on file for 420138534816 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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