218415421728

Names of 218415421728

• Cardinal: 218415421728 can be written as Two hundred eighteen billion, four hundred fifteen million, four hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 2.18415421728 × 10¹¹

Factors of 218415421728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 190

Divisors of 218415421728

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 41 42 48 51 54 56 57 63 68 72 76 81 82 84 96 101 102 108 112 114 119 123 126 133 136 144 152 153 162 164 168 171 189 202 204 216 224 228 238 243 246 252 266 272 287 288 303 304 306 323 324 328 336 342 357 369 378 399 404 408 432 456 459 476 486 492 504 513 532 544 567 574 606 608 612 646 648 656 672 684 697 707 714 729 738 756 779 798 808 816 861 864 909 912 918 952 969 972 984 1008 1026 1064 1071 1107 1134 1148 1197 1212 1224 1292 1296 1312 1368 1377 1394 1414 1428 1458 1476 1512 1539 1558 1596 1616 1632 1701 1717 1722 1818 1824 1836 1904 1919 1938 1944 1968 2016 2052 2091 2121 2128 2142 2214 2261 2268 2296 2337 2394 2424 2448 2583 2584 2592 2727 2736 2754 2788 2828 2856 2907 2916 2952 3024 3078 3116 3192 3213 3232 3321 3402 3434 3444 3591 3636 3672 3808 3838 3876 3888 3936 4104 4131 4141 4182 4242 4256 4284 4428 4522 4536 4592 4617 4674 4788 4848 4879 4896 5103 5151 5166 5168 5453 5454 5472 5508 5576 5656 5712 5757 5814 5832 5904 6048 6156 6232 6273 6363 6384 6426 6642 6783 6804 6868 6888 7011 7182 7272 7344 7676 7749 7752 7776 8181 8208 8262 8282 8364 8484 8568 8721 8856 9044 9072 9184 9234 9348 9576 9639 9696 9758 9963 10206 10302 10332 10336 10773 10906 10908 11016 11152 11312 11424 11514 11628 11664 11808 12019 12312 12393 12423 12464 12546 12726 12768 12852 13243 13284 13433 13566 13608 13736 13776 13851 14022 14364 14544 14637 14688 15352 15453 15498 15504 16359 16362 16416 16524 16564 16728 16968 17136 17271 17442 17712 18088 18144 18468 18696 18819 19089 19152 19278 19516 19926 20349 20412 20604 20664 21033 21546 21812 21816 22032 22304 22624 23028 23247 23256 23328 24038 24543 24624 24786 24846 24928 25092 25452 25704 26163 26486 26568 26866 27132 27216 27472 27552 27702 28044 28728 28917 28987 29088 29274 29889 30704 30906 30996 31008 32319 32623 32718 32724 33048 33128 33456 33936 34272 34542 34884 35424 36057 36176 36936 37269 37392 37638 38178 38304 38556 39032 39729 39852 40299 40698 40824 41208 41328 42066 43092 43624 43632 43911 44064 46056 46359 46494 46512 48076 49077 49086 49248 49572 49692 50184 50904 51408 51813 52326 52972 53136 53732 54264 54432 54944 55404 56088 56457 57267 57456 57834 57974 58548 59778 61047 61408 61812 61992 63099 64638 65246 65436 65448 66096 66256 66912 67872 69084 69741 69768 70397 72114 72352 73629 73872 74538 74784 75276 76356 77112 78064 78489 78679 79458 79704 80598 81396 81648 82416 82656 84132 86184 86751 86961 87248 87264 87822 92112 92701 92718 92988 93024 96152 96957 97869 98154 98172 99144 99384 100368 101808 102816 103626 104652 105944 106272 107464 108171 108528 110808 111807 112176 112914 114534 114912 115668 115948 117096 119187 119556 120897 122094 123624 123984 126198 129276 130492 130872 130896 131733 132192 132512 138168 139077 139482 139536 140794 144228 147231 147258 147744 149076 150552 152712 154224 155439 156128 156978 157358 158916 159408 161196 162792 163296 164832 168264 169371 171801 172368 173502 173922 174496 175644 183141 184224 185402 185436 185976 189297 192304 193914 195738 196308 196344 198288 198768 200736 203616 207252 209223 209304 211191 211888 214928 216342 217056 221616 223614 224352 225828 228361 229068 231336 231896 234192 235467 236037 238374 239112 241794 244188 247248 247968 252396 258552 260883 260984 261744 261792 263466 276336 278103 278154 278964 279072 281588 288456 293607 294462 294516 298152 301104 305424 308448 310878 313956 314716 317832 318816 322392 324513 325584 335421 336528 338742 343602 344736 347004 347844 351288 357561 362691 366282 370804 370872 371952 378594 384608 387828 391476 392616 392688 395199 396576 397536 414504 417231 418446 418608 422382 423776 429856 432684 441693 443232 447228 451656 456722 458136 462672 463792 466317 468384 470934 472074 476748 478224 483588 488376 492779 494496 504792 508113 515403 517104 521766 521968 523488 526932 549423 550753 552672 556206 556308 557928 563176 567891 576912 587214 588924 589032 596304 602208 610848 621756 627912 629432 633573 635664 644784 649026 651168 670842 673056 677484 685083 687204 694008 695688 702576 708111 715122 725382 732564 741608 741744 743904 757188 775656 782649 782952 785232 785376 790398 829008 834309 834462 836892 837216 844764 865368 880821 883386 894456 903312 913444 916272 925344 927584 932634 941868 944148 953496 956448 967176 973539 976752 985558 1006263 1009584 1016226 1030806 1034208 1043532 1043936 1053864 1072683 1088073 1098846 1101506 1112412 1112616 1115856 1126352 1135782 1153824 1174428 1177848 1178064 1185597 1192608 1243512 1251693 1255824 1258864 1267146 1271328 1289568 1298052 1325079 1337543 1341684 1354968 1370166 1374408 1388016 1391376 1398951 1405152 1416222 1430244 1450764 1465128 1478337 1483216 1483488 1514376 1551312 1565298 1565904 1570464 1580796 1648269 1652259 1658016 1668618 1668924 1673784 1689528 1730736 1761642 1766772 1788912 1806624 1826888 1832544 1865268 1883736 1888296 1900719 1906992 1934352 1947078 1953504 1971116 2012526 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6674472 6675696 6695136 6758112 7043841 7046568 7067088 7113582 7307552 7461072 7508781 7534944 7553184 7602876 7788312 7884464 7927389 7950474 8025258 8050104 8129808 8220996 8246448 8348256 8497332 8581464 8704584 8761851 8790768 8812048 8870022 8899296 9086256 9362801 9391788 9395424 9484776 9654147 9792657 9913554 10011708 10013544 10137168 10384416 10569852 10600632 10700344 10733472 10961328 11191608 11329776 11404314 11441952 11606112 11682468 11826696 12037887 12075156 12331494 12522384 12646368 12745998 12872196 13056876 13186152 13218072 13305033 13348944 13351392 14087682 14093136 14134176 14227164 14870331 14922144 15017562 15205752 15576624 15768928 15854778 15900948 16050516 16100208 16259616 16441992 16492896 16994664 17106471 17162928 17409168 17523702 17581536 17624096 17740044 18172512 18497241 18725602 18783576 18969552 19118997 19308294 19585314 19827108 20023416 20027088 20274336 21131523 21139704 21201264 21400688 21922656 22383216 22526343 22659552 22808628 23364936 23653392 23782167 24075774 24150312 24662988 25044768 25491996 25744392 26113752 26372304 26436144 26610066 26697888 28088403 28175364 28186272 28454328 29740662 30035124 30411504 31153248 31709556 31801896 32101032 32200416 32883984 33989328 34212942 34325856 34818336 35047404 35480088 36113661 36994482 37451204 37567152 37939104 38237994 38616588 39170628 39654216 39915099 40046832 40054176 42263046 42279408 42402528 42801376 44610993 44766432 45052686 45617256 46729872 47306784 47564334 48151548 48300624 49325976 50983992 51319413 51488784 52227504 52744608 52872288 53220132 55491723 56176806 56350728 56908656 57356991 59481324 60070248 60823008 63419112 63603792 64202064 65767968 67579029 67978656 68425884 70094808 70960176 72227322 73988964 74902408 75134304 76475988 77233176 78341256 79308432 79830198 80093664 84265209 84526092 84558816 89221986 90105372 91234512 93459744 95128668 96303096 96601248 98651952 101967984 102638826 102977568 104455008 106440264 108340983 110983446 112353612 112701456 113817312 114713982 118962648 119745297 120140496 126838224 127207584 128404128 133832979 135158058 136851768 140189616 141920352 144454644 147977928 149804816 152951976 154466352 156682512 158616864 159660396 166475169 168530418 169052184 178443972 180210744 182469024 190257336 192606192 197303904 203935968 205277652 212880528 216681966 221966892 224707224 225402912 229427964 237925296 239490594 240280992 252795627 253676448 267665958 270316116 273703536 280379232 288909288 295955856 299609632 305903952 308932704 313365024 319320792 325022949 332950338 337060836 338104368 356887944 359235891 360421488 380514672 385212384 401498937 410555304 425761056 433363932 443933784 449414448 458855928 475850592 478981188 505591254 535331916 540632232 547407072 577818576 591911712 611807904 638641584 650045898 665900676 674121672 676208736 713775888 718471782 720842976 758386881 761029344 802997874 821110608 866727864 887867568 898828896 917711856 957962376 975068847 1011182508 1070663832 1081264464 1155637152 1277283168 1300091796 1331801352 1348243344 1427551776 1436943564 1516773762 1605995748 1642221216 1733455728 1775735136 1835423712 1915924752 1950137694 2022365016 2141327664 2162528928 2275160643 2600183592 2663602704 2696486688 2873887128 3033547524 3211991496 3466911456 3831849504 3900275388 4044730032 4282655328 4550321286 5200367184 5327205408 5747774256 6067095048 6423982992 6825481929 7800550776 8089460064 9100642572 10400734368 11495548512 12134190096 12847965984 13650963858 15601101552 18201285144 24268380192 27301927716 31202203104 36402570288 54603855432 72805140576 109207710864 218415421728
• Sum of all divisors σ(n): 849576833280
• Sum of proper divisors (its aliquot sum) s(n): 631161411552
• 218415421728 is an abundant number, because the sum of its proper divisors (631161411552) is greater than itself. Its abundance is 412745989824

Bases of 218415421728

• Binary: 11001011011010100100101101100100100000₂
• Hexadecimal: 0x32DA92D920
• Base-36: 2SC6WI00

Squares and roots of 218415421728

• 218415421728 squared (218415421728²) is 47705296448620094505984
• 218415421728 cubed (218415421728³) is 10419572442484618625179711179620352
• The square root of 218415421728 is 467349.3572564319
• The cube root of 218415421728 is 6022.2821644231

Scales and comparisons

• 218,415,421,728 seconds is equal to 6,944 years, 48 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
• To count from 1 to 218,415,421,728 would take you about thirteen thousand, eight hundred eighty-nine 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 218415421728 cubic inches would be around 501.9 feet tall.

Recreational maths with 218415421728

• 218415421728 backwards is 827124514812
• The number of decimal digits it has is: 12
• The sum of 218415421728's digits is 45
• More coming soon!