42546813931296

Names of 42546813931296

• Cardinal: 42546813931296 can be written as Forty-two trillion, five hundred forty-six billion, eight hundred thirteen million, nine hundred thirty-one thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 4.2546813931296 × 10¹³

Factors of 42546813931296

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2011

Divisors of 42546813931296

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 73 76 82 96 114 123 144 146 152 164 171 219 228 246 288 292 304 328 342 361 369 438 456 492 584 608 656 657 684 722 738 779 876 912 984 1083 1168 1312 1314 1368 1387 1444 1476 1558 1752 1824 1873 1968 2166 2336 2337 2628 2736 2774 2888 2952 2993 3116 3249 3504 3746 3936 4161 4332 4674 5256 5329 5472 5548 5619 5776 5904 5986 6232 6498 7008 7011 7492 8322 8664 8979 9348 10512 10658 11096 11238 11552 11808 11972 12464 12483 12996 14022 14801 14984 15987 16644 16857 17328 17958 18696 21024 21316 22192 22476 23944 24928 24966 25992 26353 26937 28044 29602 29968 31974 33288 33714 34656 35587 35916 37392 42632 44384 44403 44952 47888 47961 49932 51984 52706 53874 56088 56867 59204 59936 63948 66576 67428 71174 71832 74784 76793 79059 85264 88806 89904 95776 95922 99864 101251 103968 105412 106761 107748 112176 113734 118408 127896 133152 133209 134856 136729 142348 143664 153586 158118 170528 170601 177612 179808 191844 199728 202502 210824 213522 215496 218489 224352 227468 230379 236816 237177 255792 266418 269712 273458 284696 287328 303753 307172 316236 320283 341202 355224 383688 399456 405004 410187 421648 427044 430992 436978 454936 460758 473632 474354 511584 511803 532836 539424 546916 569392 607506 614344 632472 640566 655467 676153 682404 691137 710448 767376 810008 820374 843296 854088 861984 873956 909872 911259 921516 948708 1023606 1065672 1080473 1093832 1138784 1215012 1228688 1230561 1264944 1281132 1310934 1352306 1364808 1382274 1420896 1459067 1534752 1620016 1640748 1708176 1747912 1819744 1822518 1843032 1897416 1923769 1966401 2028459 2047212 2131344 2160946 2187664 2430024 2457376 2461122 2529888 2562264 2597851 2621868 2704612 2729616 2764548 2918134 3240032 3241419 3281496 3416352 3495824 3645036 3686064 3794832 3847538 3932802 4056918 4094424 4151291 4262688 4321892 4375328 4377201 4860048 4922244 5124528 5195702 5243736 5409224 5459232 5529096 5605889 5771307 5836268 6085377 6482838 6562992 6991648 7290072 7372128 7589664 7695076 7793553 7865604 8113836 8188848 8302582 8643784 8754402 9720096 9724257 9844488 9981217 10249056 10391404 10487472 10818448 11058192 11211778 11542614 11672536 12170754 12453873 12965676 13125984 13131603 14580144 15390152 15587106 15731208 16227672 16377696 16605164 16817667 17287568 17313921 17508804 19448514 19688976 19962434 20782808 20974944 21636896 22116384 22423556 23085228 23345072 23380659 24341508 24907746 25931352 26263206 27722273 29160288 29943651 30780304 31174212 31462416 32455344 33210328 33635334 34575136 34627842 35017608 37361619 38897028 39377952 39924868 41565616 44847112 46170456 46690144 46761318 48683016 49359169 49815492 50453001 51862704 52526412 55444546 59887302 61560608 62348424 62924832 64910688 66420656 67270668 69255684 70035216 74723238 77794056 78874529 79849736 83131232 83166819 89694224 89830953 92340912 93522636 97366032 98718338 99630984 100906002 103725408 105052824 106511891 110889092 119774604 124696848 132841312 134541336 138511368 140070432 148077507 149446476 155588112 157749058 159699472 166333638 179388448 179661906 184681824 187045272 189643123 194732064 197436676 199261968 201812004 210105648 213023782 221778184 236623587 239549208 249393696 249500457 269082672 277022736 296155014 298892952 311176224 315498116 319398944 319535673 332667276 359323812 374090544 379286246 394873352 398523936 403624008 409229897 420211296 426047564 443556368 444232521 473247174 479098416 499000914 538165344 554045472 568929369 592310028 597785904 630996232 639071346 665334552 709870761 718647624 748181088 758572492 789746704 807248016 818459794 852095128 887112736 888465042 946494348 958196832 958607019 998001828 1137858738 1184620056 1195571808 1227689691 1261992464 1278142692 1330669104 1419741522 1437295248 1517144984 1579493408 1614496032 1636919588 1704190256 1706788107 1776930084 1892988696 1917214038 1996003656 2023725929 2275717476 2369240112 2455379382 2523984928 2556285384 2661338208 2839483044 2874590496 3034289968 3273839176 3408380512 3413576214 3553860168 3603219337 3683069073 3785977392 3834428076 3992007312 4047451858 4551434952 4738480224 4910758764 5112570768 5678966088 6068579936 6071177787 6547678352 6827152428 7107720336 7206438674 7366138146 7571954784 7668856152 7775368043 7984014624 8094903716 9102869904 9821517528 10225141536 10809658011 11357932176 12142355574 13095356704 13654304856 14215440672 14412877348 14732276292 15337712304 15550736086 16189807432 18205739808 18213533361 19643035056 21619316022 22715864352 23326104129 24284711148 27308609712 28825754696 29464552584 30675424608 31101472172 32379614864 32428974033 36427066722 39286070112 43238632044 46652208258 48569422296 54617219424 57651509392 58929105168 62202944344 64759229728 64857948066 69978312387 72854133444 86477264088 93304416516 97138844592 115303018784 117858210336 124405888688 129715896132 139956624774 145708266888 147731992817 172954528176 186608833032 194277689184 248811777376 259431792264 279913249548 291416533776 295463985634 345909056352 373217666064 443195978451 518863584528 559826499096 582833067552 590927971268 746435332128 886391956902 1037727169056 1119652998192 1181855942536 1329587935353 1772783913804 2239305996384 2363711885072 2659175870706 3545567827608 4727423770144 5318351741412 7091135655216 10636703482824 14182271310432 21273406965648 42546813931296
• Sum of all divisors σ(n): 132697494201636
• Sum of proper divisors (its aliquot sum) s(n): 90150680270340
• 42546813931296 is an abundant number, because the sum of its proper divisors (90150680270340) is greater than itself. Its abundance is 47603866339044

Bases of 42546813931296

• Binary: 1001101011001000110011101110110000111100100000₂
• Hexadecimal: 0x26B233BB0F20
• Base-36: F2XQIHL40

Squares and roots of 42546813931296

• 42546813931296 squared (42546813931296²) is 1810231375704323386608239616
• 42546813931296 cubed (42546813931296³) is 77019577514685829689481027855850929422336
• The square root of 42546813931296 is 6522791.8816482257
• The cube root of 42546813931296 is 34910.4688399885

Scales and comparisons

• 42,546,813,931,296 seconds is equal to 1,352,857 years, 4 weeks, 1 hour, 21 minutes, 36 seconds.
• To count from 1 to 42,546,813,931,296 would take you about three million, three hundred eighty-two thousand, one hundred forty-two 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 42546813931296 cubic inches would be around 2909.2 feet tall.

Recreational maths with 42546813931296

• 42546813931296 backwards is 69213931864524
• The number of decimal digits it has is: 14
• The sum of 42546813931296's digits is 63
• More coming soon!