40142085287121384

Names of 40142085287121384

• Cardinal: 40142085287121384 can be written as Forty quadrillion, one hundred forty-two trillion, eighty-five billion, two hundred eighty-seven million, one hundred twenty-one thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 4.0142085287121384 × 10¹⁶

Factors of 40142085287121384

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5049114

Divisors of 40142085287121384

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 79 84 98 102 119 136 147 158 168 196 204 237 238 294 316 357 392 408 474 476 553 588 632 714 833 948 952 1106 1176 1343 1428 1659 1666 1896 2212 2499 2686 2856 3318 3332 3871 4029 4424 4998 5039 5372 6636 6664 7742 8058 9401 9996 10078 10744 11613 13272 15117 15484 16116 18802 19992 20156 23226 28203 30234 30968 32232 35273 37604 40312 46452 56406 60468 65807 70546 75208 85663 92904 105819 112812 120936 131614 141092 171326 197421 211638 225624 246911 256989 263228 282184 342652 394842 398081 423276 493822 513978 526456 599641 685304 740733 789684 796162 846552 987644 1027956 1194243 1199282 1481466 1579368 1592324 1798923 1975288 2055912 2388486 2398564 2786567 2962932 3184648 3597846 4197487 4776972 4797128 5043967 5573134 5925864 6767377 7195692 8359701 8394974 9553944 10087934 11146268 12592461 13534754 14391384 15131901 16719402 16789948 19505969 20175868 20302131 22292536 25184922 27069508 30263802 33438804 33579896 35307769 39011938 40351736 40604262 47371639 50369844 54139016 58517907 60527604 66877608 70615538 78023876 81208524 85747439 94743278 100739688 105923307 117035814 121055208 141231076 142114917 156047752 162417048 171494878 189486556 211846614 234071628 247154383 257242317 282462152 284229834 331601473 342989756 378973112 398473393 423693228 468143256 494308766 514484634 568459668 600232073 663202946 685979512 741463149 796946786 847386456 988617532 994804419 1028969268 1136919336 1195420179 1200464146 1326405892 1482926298 1593893572 1800696219 1977235064 1989608838 2057938536 2390840358 2400928292 2652811784 2789313751 2965852596 3187787144 3601392438 3979217676 4201624511 4781680716 4801856584 5578627502 5931705192 6774047681 7202784876 7958435352 8367941253 8403249022 9563361432 11157255004 12604873533 13548095362 14405569752 16735882506 16806498044 19525196257 20322143043 22314510008 25209747066 25416549713 27096190724 33471765012 33612996088 39050392514 40644286086 47418333767 50419494132 50833099426 54192381448 58575588771 66943530024 76249649139 78100785028 81288572172 94836667534 100838988264 101666198852 117151177542 142255001301 152499298278 156201570056 162577144344 177915847991 189673335068 203332397704 234302355084 284510002602 304998596556 331928336369 355831695982 379346670136 432081345121 468604710168 533747543973 569020005204 609997193112 663856672738 711663391964 864162690242 995785009107 1067495087946 1138040010408 1245410935937 1296244035363 1327713345476 1423326783928 1728325380484 1991570018214 2007907427327 2134990175892 2490821871874 2592488070726 2655426690952 3024569415847 3456650760968 3736232807811 3983140036428 4015814854654 4269980351784 4981643743748 5184976141452 6023722281981 6049138831694 7472465615622 7966280072856 8031629709308 9073708247541 9963287487496 10369952282904 12047444563962 12098277663388 14055351991289 14944931231244 16063259418616 18147416495082 21171985910929 24094889127924 24196555326776 28110703982578 29889862462488 34134426264559 36294832990164 42166055973867 42343971821858 48189778255848 56221407965156 63515957732787 68268852529118 72589665980328 84332111947734 84687943643716 98387463939023 102403278793677 112442815930312 127031915465574 136537705058236 168664223895468 169375887287432 196774927878046 204806557587354 238940983851913 254063830931148 273075410116472 295162391817069 337328447790936 393549855756092 409613115174708 477881967703826 508127661862296 590324783634138 716822951555739 787099711512184 819226230349416 955763935407652 1180649567268276 1433645903111478 1672586886963391 1911527870815304 2361299134536552 2867291806222956 3345173773926782 5017760660890173 5734583612445912 6690347547853564 10035521321780346 13380695095707128 20071042643560692 40142085287121384
• Sum of all divisors σ(n): 125196289376256000
• Sum of proper divisors (its aliquot sum) s(n): 85054204089134616
• 40142085287121384 is an abundant number, because the sum of its proper divisors (85054204089134616) is greater than itself. Its abundance is 44912118802013232

Bases of 40142085287121384

• Binary: 10001110100111010000001110001110000101010001000111101000₂
• Hexadecimal: 0x8E9D038E1511E8
• Base-36: AZ96JEE0USO

Squares and roots of 40142085287121384

• 40142085287121384 squared (40142085287121384²) is 1611387011198527086129969150075456
• 40142085287121384 cubed (40142085287121384³) is 64684434834090894981176138400830657412728631151104
• The square root of 40142085287121384 is 200354898.3357316971
• The cube root of 40142085287121384 is 342399.6481878485

Scales and comparisons

• 40,142,085,287,121,384 seconds is equal to 1,276,394,144 years, 26 weeks, 2 days, 22 hours, 36 minutes, 24 seconds.
• To count from 1 to 40,142,085,287,121,384 would take you about three billion, eight hundred twenty-nine million, one hundred eighty-two thousand, four hundred thirty-three 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 40142085287121384 cubic inches would be around 28533.3 feet tall.

Recreational maths with 40142085287121384

• 40142085287121384 backwards is 48312178258024104
• The number of decimal digits it has is: 17
• The sum of 40142085287121384's digits is 60
• More coming soon!