42084947901846948

Names of 42084947901846948

• Cardinal: 42084947901846948 can be written as Forty-two quadrillion, eighty-four trillion, nine hundred forty-seven billion, nine hundred one million, eight hundred forty-six thousand, nine hundred forty-eight.

Scientific notation

• Scientific notation: 4.2084947901846948 × 10¹⁶

Factors of 42084947901846948

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 367

Divisors of 42084947901846948

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 131 186 193 217 262 372 386 393 434 524 579 651 772 786 868 917 1158 1302 1351 1572 1834 2316 2604 2702 2751 3668 4053 4061 5404 5502 5983 8106 8122 11004 11966 12183 16212 16244 17161 17949 23932 24366 25283 28427 34322 35898 37249 41881 48732 50566 51483 56854 68644 71796 74498 75849 83762 85281 101132 102966 111747 113708 120127 125643 148996 151698 167524 170562 176981 205932 223494 240254 251286 260743 303396 341124 353962 360381 446988 480508 502572 521486 530943 531991 707924 720762 782229 783773 1042972 1061886 1063982 1154719 1441524 1564458 1567546 1595973 2123772 2127964 2248091 2309438 2351319 3128916 3135092 3191946 3312073 3464157 3723937 4496182 4618876 4702638 4879619 5486411 6383892 6624146 6744273 6928314 7189057 7447874 8083033 8992364 9405276 9759238 9936219 10972822 11171811 13248292 13488546 13856628 14378114 14638857 14895748 15736637 16166066 16459233 19518476 19872438 21567171 21945644 22343622 23184511 24249099 26977092 28756228 29277714 31473274 32332132 32918466 34157333 39744876 43134342 44687244 46369022 47209911 48498198 50323399 58555428 62946548 65836932 68314666 69553533 69690821 86268684 92738044 94419822 96996396 100646798 102471999 102674263 136629332 139107066 139381642 150970197 151268189 188839644 201293596 204943998 205348526 209072463 222860767 278214132 278763284 301940394 302536378 308022789 409887996 410697052 418144926 433881563 445721534 453804567 487835747 603880788 605072756 616045578 639230089 668582301 718719841 836289852 867763126 891443068 907609134 941766467 975671494 1058877323 1232091156 1278460178 1301644689 1337164602 1437439682 1463507241 1560025369 1735526252 1815218268 1883532934 1917690267 1951342988 2117754646 2156159523 2556920356 2603289378 2674329204 2825299401 2874879364 2927014482 3037170941 3120050738 3176631969 3767065868 3835380534 4235509292 4312319046 4474610623 4680076107 5206578756 5650598802 5854028964 6074341882 6240101476 6353263938 6592365269 7670761068 8624638092 8949221246 9111512823 9360152214 11301197604 12148683764 12706527876 13184730538 13423831869 13450328453 17898442492 18223025646 18720304428 19777095807 19816132759 26369461076 26847663738 26900656906 29194760477 36446051292 39554191614 39632265518 40350985359 53695327476 53801313812 58389520954 59448398277 79108383228 79264531036 80701970718 83739141659 87584281431 94152299171 116779041908 118896796554 123371407177 138712929313 161403941436 167478283318 175168562862 188304598342 204363323339 237793593108 246742814354 251217424977 277425858626 282456897513 334956566636 350337125724 370114221531 376609196684 408726646678 416138787939 493485628708 502434849954 554851717252 564913795026 586173991613 613089970017 740228443062 817453293356 832277575878 863599850239 1004869699908 1129827590052 1172347983226 1226179940034 1480456886124 1664555151756 1727199700478 1758521974839 2344695966452 2452359880068 2590799550717 2595913391429 3454399400956 3517043949678 3824513622487 5181599101434 5191826782858 7034087899356 7649027244974 7787740174287 10363198202868 10383653565716 11473540867461 15298054489948 15575480348574 16161654340187 18171393740003 22947081734922 26771595357409 31150960697148 32323308680374 36342787480006 45894163469844 48484963020561 53543190714818 54514181220009 64646617360748 72685574960012 80314786072227 96969926041122 107086381429636 109028362440018 113131580381309 160629572144454 193939852082244 218056724880036 226263160762618 321259144288908 339394741143927 452526321525236 501011284545797 678789482287854 1002022569091594 1357578964575708 1503033853637391 2004045138183188 3006067707274782 3507078991820579 6012135414549564 7014157983641158 10521236975461737 14028315967282316 21042473950923474 42084947901846948
• Sum of all divisors σ(n): 117345876307968000
• Sum of proper divisors (its aliquot sum) s(n): 75260928406121052
• 42084947901846948 is an abundant number, because the sum of its proper divisors (75260928406121052) is greater than itself. Its abundance is 33175980504274104

Bases of 42084947901846948

• Binary: 10010101100001000000100110000010000101001001010110100100₂
• Hexadecimal: 0x958409821495A4
• Base-36: BIDVA5VLSBO

Squares and roots of 42084947901846948

• 42084947901846948 squared (42084947901846948²) is 1771142839901171830711429616914704
• 42084947901846948 cubed (42084947901846948³) is 74538454143970066370307924872761090092022978723392
• The square root of 42084947901846948 is 205146162.2888591793
• The cube root of 42084947901846948 is 347836.8568046087

Scales and comparisons

• 42,084,947,901,846,948 seconds is equal to 1,338,171,165 years, 51 weeks, 2 days, 12 hours, 35 minutes, 48 seconds.
• To count from 1 to 42,084,947,901,846,948 would take you about four billion, fourteen million, five hundred thirteen thousand, four hundred ninety-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 42084947901846948 cubic inches would be around 28986.4 feet tall.

Recreational maths with 42084947901846948

• 42084947901846948 backwards is 84964810974948024
• The number of decimal digits it has is: 17
• The sum of 42084947901846948's digits is 87
• More coming soon!