42874698940416

Names of 42874698940416

• Cardinal: 42874698940416 can be written as Forty-two trillion, eight hundred seventy-four billion, six hundred ninety-eight million, nine hundred forty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 4.2874698940416 × 10¹³

Factors of 42874698940416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 73

Divisors of 42874698940416

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 61 63 64 72 84 96 108 112 122 126 128 144 168 183 189 192 216 224 244 252 256 288 336 366 378 384 427 432 448 488 504 512 549 576 672 732 756 768 854 864 896 976 1008 1024 1098 1152 1281 1344 1464 1512 1536 1647 1708 1728 1792 1952 2016 2048 2196 2304 2562 2688 2928 3024 3072 3294 3416 3456 3584 3721 3843 3904 4032 4096 4392 4608 5124 5376 5856 6048 6144 6588 6832 6912 7168 7442 7686 7808 8064 8192 8784 9216 10248 10752 11163 11529 11712 12096 12288 13176 13664 13824 14336 14884 15372 15616 16128 16384 17568 18432 20496 21504 22326 23058 23424 24192 24576 26047 26352 27328 27648 28672 29768 30744 31232 32256 33489 35136 36864 40992 43008 44652 46116 46848 48384 49152 52094 52704 54656 55296 57344 59536 61488 62464 64512 66978 70272 73728 78141 81984 86016 89304 92232 93696 96768 100467 104188 105408 109312 110592 114688 119072 122976 124928 129024 133956 140544 147456 156282 163968 172032 178608 184464 187392 193536 200934 208376 210816 218624 221184 226981 234423 238144 245952 249856 258048 267912 281088 312564 327936 344064 357216 368928 374784 387072 401868 416752 421632 437248 442368 453962 468846 476288 491904 499712 516096 535824 562176 625128 655872 680943 703269 714432 737856 749568 774144 803736 833504 843264 874496 907924 937692 952576 983808 999424 1032192 1071648 1124352 1250256 1311744 1361886 1406538 1428864 1475712 1499136 1548288 1588867 1607472 1667008 1686528 1748992 1815848 1875384 1905152 1967616 2042829 2143296 2248704 2500512 2623488 2723772 2813076 2857728 2951424 2998272 3096576 3177734 3214944 3334016 3373056 3497984 3631696 3750768 3810304 3935232 4085658 4286592 4497408 4766601 5001024 5246976 5447544 5626152 5715456 5902848 6128487 6355468 6429888 6668032 6746112 6995968 7263392 7501536 7620608 7870464 8171316 8573184 8994816 9533202 10002048 10493952 10895088 11252304 11430912 11805696 12256974 12710936 12859776 13336064 13492224 13845841 14299803 14526784 15003072 15241216 15740928 16342632 17146368 19066404 20004096 20987904 21790176 22504608 22861824 23611392 24513948 25421872 25719552 26672128 26984448 27691682 28599606 29053568 30006144 30482432 31481856 32685264 34292736 38132808 40008192 41537523 42899409 43580352 45009216 45723648 47222784 49027896 50843744 51439104 53344256 55383364 57199212 58107136 60012288 60964864 62963712 65370528 68585472 76265616 80016384 83075046 85798818 87160704 90018432 91447296 94445568 96920887 98055792 101687488 102878208 106688512 110766728 114398424 116214272 120024576 124612569 130741056 137170944 152531232 160032768 166150092 171597636 174321408 180036864 182894592 188891136 193841774 196111584 203374976 205756416 213377024 221533456 228796848 232428544 240049152 249225138 261482112 274341888 290762661 305062464 320065536 332300184 343195272 348642816 360073728 373837707 387683548 392223168 406749952 411512832 426754048 443066912 457593696 464857088 480098304 498450276 522964224 548683776 581525322 610124928 640131072 664600368 686390544 697285632 720147456 747675414 775367096 784446336 813499904 823025664 872287983 886133824 915187392 929714176 960196608 996900552 1045928448 1163050644 1220249856 1280262144 1329200736 1372781088 1394571264 1440294912 1495350828 1550734192 1568892672 1626999808 1646051328 1744575966 1772267648 1830374784 1859428352 1920393216 1993801104 2091856896 2326101288 2440499712 2616863949 2658401472 2745562176 2789142528 2880589824 2990701656 3101468384 3137785344 3253999616 3489151932 3544535296 3660749568 3718856704 3840786432 3987602208 4183713792 4652202576 4880999424 5233727898 5316802944 5491124352 5578285056 5761179648 5981403312 6202936768 6275570688 6507999232 6978303864 7089070592 7321499136 7975204416 8367427584 9304405152 9761998848 10467455796 10633605888 10982248704 11156570112 11522359296 11962806624 12405873536 12551141376 13015998464 13956607728 14178141184 14642998272 15950408832 16734855168 18608810304 19523997696 20934911592 21267211776 21964497408 23925613248 24811747072 25102282752 26031996928 27913215456 28356282368 29285996544 31900817664 33469710336 37217620608 39047995392 41869823184 42534423552 43928994816 47851226496 49623494144 50204565504 55826430912 56712564736 58571993088 63801635328 74435241216 78095990784 83739646368 85068847104 87857989632 95702452992 99246988288 100409131008 111652861824 113425129472 117143986176 127603270656 148870482432 167479292736 170137694208 175715979264 191404905984 198493976576 223305723648 226850258944 234287972352 255206541312 297740964864 334958585472 340275388416 351431958528 382809811968 396987953152 446611447296 510413082624 595481929728 669917170944 680550776832 702863917056 765619623936 793975906304 893222894592 1020826165248 1190963859456 1339834341888 1531239247872 1587951812608 1786445789184 2041652330496 2381927718912 2679668683776 3062478495744 3572891578368 4763855437824 5359337367552 6124956991488 7145783156736 10718674735104 14291566313472 21437349470208 42874698940416
• Sum of all divisors σ(n): 147599397131200
• Sum of proper divisors (its aliquot sum) s(n): 104724698190784
• 42874698940416 is an abundant number, because the sum of its proper divisors (104724698190784) is greater than itself. Its abundance is 61849999250368

Bases of 42874698940416

• Binary: 1001101111111010001011001100110100000000000000₂
• Hexadecimal: 0x26FE8B334000
• Base-36: F74D4R9C0

Squares and roots of 42874698940416

• 42874698940416 squared (42874698940416²) is 1838239809231308873118253056
• 42874698940416 cubed (42874698940416³) is 78813978401080108517735983285952153911296
• The square root of 42874698940416 is 6547877.4377973813
• The cube root of 42874698940416 is 34999.9180788331

Scales and comparisons

• 42,874,698,940,416 seconds is equal to 1,363,282 years, 41 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 42,874,698,940,416 would take you about three million, four hundred eight thousand, two hundred seven 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 42874698940416 cubic inches would be around 2916.7 feet tall.

Recreational maths with 42874698940416

• 42874698940416 backwards is 61404989647824
• 42874698940416 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42874698940416's digits is 72
• More coming soon!