42728314821968896

Names of 42728314821968896

• Cardinal: 42728314821968896 can be written as Forty-two quadrillion, seven hundred twenty-eight trillion, three hundred fourteen billion, eight hundred twenty-one million, nine hundred sixty-eight thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.2728314821968896 × 10¹⁶

Factors of 42728314821968896

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 301

Divisors of 42728314821968896

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 8 16 32 53 64 106 109 128 137 212 218 256 274 424 436 512 548 848 872 1024 1096 1696 1744 2192 2809 3392 3488 4384 5618 5777 6784 6976 7261 8768 11236 11554 13568 13952 14522 14933 17536 18769 22472 23108 27136 27904 29044 29866 35072 37538 44944 46216 54272 55808 58088 59732 70144 75076 89888 92432 111616 116176 119464 140288 148877 150152 179776 184864 232352 238928 297754 300304 306181 359552 369728 384833 464704 477856 595508 600608 612362 719104 739456 769666 791449 929408 955712 994757 1191016 1201216 1224724 1438208 1478912 1539332 1582898 1858816 1911424 1989514 2045821 2382032 2402432 2449448 2571353 2876416 2957824 3078664 3165796 3717632 3822848 3979028 4091642 4764064 4804864 4898896 5142706 5915648 6157328 6331592 7435264 7645696 7958056 8183284 9528128 9609728 9797792 10285412 12314656 12663184 15291392 15916112 16227593 16366568 19056256 19219456 19595584 20396149 20570824 24629312 25326368 31832224 32455186 32733136 38112512 39191168 40792298 41141648 41946797 49258624 50652736 52722121 63664448 64910372 65466272 76225024 78382336 81584596 82283296 83893594 98517248 101305472 105444242 108428513 127328896 129820744 130932544 136281709 152450048 156764672 163169192 164566592 167787188 197034496 202610944 210888484 216857026 254657792 259641488 261865088 272563418 280277477 313529344 326338384 329133184 335574376 394068992 405221888 421776968 433714052 509315584 519282976 523730176 545126836 560554954 652676768 658266368 671148752 810443776 843553936 867428104 1018631168 1038565952 1047460352 1090253672 1121109908 1305353536 1316532736 1342297504 1687107872 1734856208 2077131904 2094920704 2180507344 2223180241 2242219816 2610707072 2633065472 2684595008 2794272413 3374215744 3469712416 4154263808 4361014688 4446360482 4484439632 5221414144 5369190016 5588544826 5746711189 6748431488 6939424832 7222930577 8308527616 8722029376 8892720964 8968879264 10442828288 10738380032 11177089652 11493422378 13496862976 13878849664 14445861154 14854706281 16617055232 17444058752 17785441928 17937758528 20885656576 21476760064 22354179304 22986844756 26993725952 27757699328 28891722308 29709412562 34888117504 35570883856 35875517056 42953520128 44708358608 45973689512 53987451904 55515398656 57783444616 59418825124 69776235008 71141767712 71751034112 89416717216 91947379024 111030797312 115566889232 118837650248 139552470016 142283535424 143502068224 178833434432 183894758048 231133778464 237675300496 284567070848 287004136448 304575693017 357666868864 367789516096 382815320581 462267556928 475350600992 569134141696 609151386034 715333737728 735579032192 765630641162 787299432893 924535113856 950701201984 1138268283392 1218302772068 1430667475456 1471158064384 1531261282324 1574598865786 1849070227712 1901402403968 2276536566784 2436605544136 2861334950912 2942316128768 3062522564648 3149197731572 3698140455424 3802804807936 4873211088272 5884632257536 6125045129296 6298395463144 7396280910848 7605609615872 9746422176544 12250090258592 12596790926288 15211219231744 19492844353088 24500180517184 25193581852576 38985688706176 41726869943329 49000361034368 50387163705152 77971377412352 83453739886658 98000722068736 100774327410304 155942754824704 166907479773316 196001444137472 201548654820608 311885509649408 333814959546632 392002888274944 403097309641216 667629919093264 806194619282432 1335259838186528 2670519676373056 5341039352746112 10682078705492224 21364157410984448 42728314821968896
• Sum of all divisors σ(n): 88502179618908000
• Sum of proper divisors (its aliquot sum) s(n): 45773864796939104
• 42728314821968896 is an abundant number, because the sum of its proper divisors (45773864796939104) is greater than itself. Its abundance is 3045549974970208

Bases of 42728314821968896

• Binary: 10010111110011010010110100001010110100001000010000000000₂
• Hexadecimal: 0x97CD2D0AD08400
• Base-36: BOPX8UGLR0G

Squares and roots of 42728314821968896

• 42728314821968896 squared (42728314821968896²) is 1825708887525286848675553991458816
• 42728314821968896 cubed (42728314821968896³) is 78009464119447058106827758160169784664020416987136
• The square root of 42728314821968896 is 206708284.3573737757
• The cube root of 42728314821968896 is 349600.4006043969

Scales and comparisons

• 42,728,314,821,968,896 seconds is equal to 1,358,628,243 years, 51 weeks, 19 hours, 48 minutes, 16 seconds.
• To count from 1 to 42,728,314,821,968,896 would take you about four billion, seventy-five million, eight hundred eighty-four thousand, seven hundred thirty-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 42728314821968896 cubic inches would be around 29133.4 feet tall.

Recreational maths with 42728314821968896

• 42728314821968896 backwards is 69886912841382724
• The number of decimal digits it has is: 17
• The sum of 42728314821968896's digits is 88
• More coming soon!