42827789814768

Names of 42827789814768

• Cardinal: 42827789814768 can be written as Forty-two trillion, eight hundred twenty-seven billion, seven hundred eighty-nine million, eight hundred fourteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.2827789814768 × 10¹³

Factors of 42827789814768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 110

Divisors of 42827789814768

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 49 54 56 62 63 67 72 84 93 98 108 112 124 126 134 144 147 168 186 189 196 201 216 217 248 252 268 279 294 336 343 372 378 392 402 432 434 441 469 496 504 536 558 588 603 651 686 744 756 784 804 837 868 882 938 961 1008 1029 1072 1116 1176 1206 1302 1323 1372 1407 1488 1512 1519 1608 1674 1736 1764 1809 1876 1922 1953 2058 2077 2232 2352 2412 2604 2646 2744 2814 2883 3024 3038 3087 3216 3283 3348 3472 3528 3618 3752 3844 3906 4116 4154 4221 4464 4489 4557 4824 5208 5292 5488 5628 5766 5859 6076 6174 6231 6566 6696 6727 7056 7236 7504 7688 7812 8232 8308 8442 8649 8978 9114 9261 9648 9849 10416 10584 10633 11256 11532 11718 12152 12348 12462 12663 13132 13392 13454 13467 13671 14472 14539 15376 15624 16464 16616 16884 17298 17956 18228 18522 18693 19698 20181 21168 21266 22512 22981 23064 23436 24304 24696 24924 25326 25947 26264 26908 26934 27342 28944 29078 29547 31248 31423 31899 33232 33768 34596 35912 36456 37044 37386 39396 40362 40401 41013 42532 43617 45962 46128 46872 47089 49392 49848 50652 51894 52528 53816 53868 54684 56079 58156 59094 60543 62846 63798 64387 67536 68943 69192 71824 72912 74088 74772 78792 80724 80802 82026 85064 87234 88641 91924 93744 94178 94269 95697 99696 101304 101773 103788 107632 107736 109368 112158 116312 118188 121086 121203 125692 127596 128774 130851 137886 138384 139159 141267 148176 149544 157584 161448 161604 164052 170128 174468 177282 181629 183848 188356 188538 191394 193161 202608 203546 206829 207576 215472 218736 219961 224316 232624 236376 242172 242406 251384 255192 257548 261702 275772 278318 282534 282807 287091 299088 300763 305319 322896 323208 328104 329623 348936 354564 363258 367696 376712 377076 382788 386322 392553 407092 413658 415152 417477 423801 439922 448632 450709 472752 484344 484812 502768 510384 515096 523404 551544 556636 565068 565614 574182 579483 601526 610638 620487 646416 656208 659246 659883 697872 709128 712411 726516 753424 754152 765576 772644 785106 814184 827316 834954 847602 848421 879844 897264 901418 902289 915957 968688 969624 974113 988869 1030192 1046808 1103088 1113272 1130136 1131228 1148364 1158966 1203052 1221276 1240974 1252431 1271403 1318492 1319766 1352127 1418256 1424822 1453032 1508304 1531152 1539727 1545288 1570212 1628368 1654632 1669908 1695204 1696842 1738449 1759688 1802836 1804578 1831914 1939248 1948226 1977738 1979649 2093616 2105341 2137233 2226544 2260272 2262456 2296728 2317932 2406104 2442552 2481948 2504862 2542806 2636984 2639532 2704254 2706867 2747871 2849644 2906064 2922339 2966607 3079454 3090576 3140424 3154963 3309264 3339816 3390408 3393684 3476898 3519376 3605672 3609156 3663828 3757293 3896452 3955476 3959298 4056381 4210682 4274466 4313929 4524912 4593456 4619181 4635864 4812208 4885104 4963896 5009724 5085612 5273968 5279064 5408508 5413734 5495742 5699288 5844678 5933214 5938947 6158908 6280848 6309926 6316023 6411699 6679632 6780816 6787368 6818791 6953796 7211344 7218312 7327656 7514586 7792904 7910952 7918596 8112762 8120601 8421364 8548932 8627858 8767017 8899821 9238362 9271728 9323653 9464889 9927792 10019448 10171224 10558128 10817016 10827468 10991484 11398576 11689356 11866428 11877894 12169143 12317816 12619852 12632046 12823398 12941787 13574736 13637582 13857543 13907592 14436624 14655312 14737387 15029172 15585808 15821904 15837192 16225524 16241202 16842728 17097864 17255716 17534034 17799642 18476724 18647306 18929778 18948069 19235097 20038896 20342448 20456373 21634032 21654936 21982968 22084741 23378712 23732856 23755788 24338286 24635632 25239704 25264092 25646796 25883574 26301051 27275164 27715086 27815184 27970959 28394667 29474774 30058344 30197503 31674384 32451048 32482404 33685456 34195728 34511432 35068068 35599284 36953448 37294612 37859556 37896138 38470194 38825361 40912746 41572629 43309872 43965936 44169482 44212161 46757424 47465712 47511576 47731537 48676572 50479408 50528184 51293592 51767148 52602102 54550328 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397909449 412646836 420816816 422765042 429583833 447535344 454314672 454753656 456858997 465904332 483160048 490952952 503477262 522124568 530033784 530545932 543555054 572778444 578066486 587390139 596288007 618970254 621205776 634147563 665162064 671303016 681472008 707394576 724740072 736429428 763704592 783186852 795050676 795818898 815332581 825293672 845530084 859167666 867099729 909507312 913717994 928455381 931808664 981905904 1006954524 1044249136 1060067568 1061091864 1087110108 1145556888 1156132972 1174780278 1192576014 1237940508 1268295126 1288751499 1342606032 1362944016 1370576991 1449480144 1472858856 1479677647 1566373704 1590101352 1591637796 1630665162 1650587344 1691060168 1718335332 1734199458 1762170417 1827435988 1856910762 1863617328 1902442689 2013909048 2023232701 2122183728 2174220216 2291113776 2312265944 2349560556 2385152028 2475881016 2536590252 2577502998 2601299187 2741153982 2785366143 2945717712 2959355294 3132747408 3180202704 3183275592 3198012979 3261330324 3382120336 3436670664 3468398916 3524340834 3654871976 3713821524 3804885378 4027818096 4046465402 4111730973 4348440432 4439032941 4624531888 4699121112 4770304056 4951762032 5073180504 5155005996 5202598374 5482307964 5570732286 5707328067 5918710588 6069698103 6366551184 6396025958 6522660648 6873341328 6936797832 7048681668 7309743952 7427643048 7609770756 7803897561 8092930804 8223461946 8878065882 9398242224 9540608112 9594038937 10146361008 10310011992 10405196748 10964615928 11141464572 11414656134 11837421176 12139396206 12335192919 12792051916 13045321296 13317098823 13873595664 14097363336 14162628907 14855286096 15219541512 15607795122 16185861608 16446923892 17756131764 18209094309 19188077874 20620023984 20810393496 21929231856 22282929144 22829312268 23674842352 24278792412 24670385838 25584103832 26634197646 28194726672 28325257814 28782116811 30439083024 31215590244 32371723216 32893847784 35512263528 36418188618 38376155748 39951296469 41620786992 42487886721 44565858288 45658624536 48557584824 49340771676 51168207664 53268395292 54627282927 56650515628 57564233622 62431180488 65787695568 71024527056 72836377236 76752311496 79902592938 84975773442 86346350433 91317249072 97115169648 98681543352 99138402349 106536790584 109254565854 113301031256 115128467244 124862360976 127463660163 145672754472 153504622992 159805185876 169951546884 172692700866 197363086704 198276804698 213073581168 218509131708 226602062512 230256934488 254927320326 291345508944 297415207047 319610371752 339903093768 345385401732 382390980489 396553609396 437018263416 460513868976 509854640652 594830414094 639220743504 679806187536 690770803464 764781960978 793107218792 874036526832 892245621141 1019709281304 1189660828188 1381541606928 1529563921956 1586214437584 1784491242282 2039418562608 2379321656376 2676736863423 3059127843912 3568982484564 4758643312752 5353473726846 6118255687824 7137964969128 10706947453692 14275929938256 21413894907384 42827789814768
• Sum of all divisors σ(n): 150378648960000
• Sum of proper divisors (its aliquot sum) s(n): 107550859145232
• 42827789814768 is an abundant number, because the sum of its proper divisors (107550859145232) is greater than itself. Its abundance is 64723069330464

Bases of 42827789814768

• Binary: 1001101111001110011111001100101100101111110000₂
• Hexadecimal: 0x26F39F32CBF0
• Base-36: F6ITC9WC0

Squares and roots of 42827789814768

• 42827789814768 squared (42827789814768²) is 1834219580417945639750893824
• 42827789814768 cubed (42827789814768³) is 78555570664271726770690026264231395192832
• The square root of 42827789814768 is 6544294.4474380123
• The cube root of 42827789814768 is 34987.1489731311

Scales and comparisons

• 42,827,789,814,768 seconds is equal to 1,361,791 years, 12 weeks, 3 days, 17 hours, 52 minutes, 48 seconds.
• To count from 1 to 42,827,789,814,768 would take you about three million, four hundred four thousand, four hundred seventy-eight 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 42827789814768 cubic inches would be around 2915.6 feet tall.

Recreational maths with 42827789814768

• 42827789814768 backwards is 86741898772824
• The number of decimal digits it has is: 14
• The sum of 42827789814768's digits is 81
• More coming soon!