40825085616887040

Names of 40825085616887040

• Cardinal: 40825085616887040 can be written as Forty quadrillion, eight hundred twenty-five trillion, eighty-five billion, six hundred sixteen million, eight hundred eighty-seven thousand and forty.

Scientific notation

• Scientific notation: 4.082508561688704 × 10¹⁶

Factors of 40825085616887040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4114529

Divisors of 40825085616887040

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 560 576 630 640 672 720 768 840 896 960 1008 1120 1152 1260 1280 1344 1440 1680 1792 1920 2016 2240 2304 2520 2688 2880 3360 3840 4032 4480 5040 5376 5760 6720 8064 8960 10080 11520 13440 16128 20160 26880 40320 80640 126961 253922 380883 507844 634805 761766 888727 1015688 1142649 1269610 1523532 1777454 1904415 2031376 2285298 2539220 2666181 3047064 3554908 3808830 3987551 4062752 4443635 4570596 5078440 5332362 5713245 6094128 7109816 7617660 7975102 7998543 8125504 8887270 9141192 10156880 10664724 11426490 11962653 12188256 13330905 14219632 15235320 15950204 15997086 16251008 17774540 18282384 19937755 20313760 21329448 22852980 23925306 24376512 26661810 27912857 28439264 30470640 31900408 31994172 32502016 35549080 35887959 36564768 39875510 39992715 40627520 42658896 45705960 47850612 48753024 53323620 55825714 56878528 59813265 60941280 63800816 63988344 71098160 71775918 73129536 79751020 79985430 81255040 83738571 85317792 91411920 95701224 97506048 106647240 111651428 113757056 119626530 121882560 127601632 127976688 139564285 142196320 143551836 146259072 159502040 159970860 162510080 167477142 170635584 179439795 182823840 191402448 213294480 223302856 227514112 239253060 243765120 251215713 255203264 255953376 279128570 284392640 287103672 292518144 319004080 319941720 334954284 341271168 358879590 365647680 382804896 418692855 426588960 446605712 478506120 487530240 502431426 510406528 511906752 558257140 568785280 574207344 638008160 639883440 669908568 682542336 717759180 731295360 765609792 837385710 853177920 893211424 957012240 1004862852 1020813056 1023813504 1116514280 1137570560 1148414688 1256078565 1276016320 1279766880 1339817136 1435518360 1462590720 1531219584 1674771420 1706355840 1786422848 1914024480 2009725704 2047627008 2233028560 2296829376 2512157130 2552032640 2559533760 2679634272 2871036720 3062439168 3349542840 3412711680 3572845696 3828048960 4019451408 4466057120 4593658752 5024314260 5104065280 5119067520 5359268544 5742073440 6699085680 7145691392 7656097920 8038902816 8932114240 9187317504 10048628520 10238135040 10718537088 11484146880 13398171360 15312195840 16077805632 17864228480 20097257040 21437074176 22968293760 26796342720 32155611264 35728456960 40194514080 45936587520 53592685440 64311222528 80389028160 107185370880 160778056320 321556112640 506263462511 1012526925022 1518790387533 2025053850044 2531317312555 3037580775066 3543844237577 4050107700088 4556371162599 5062634625110 6075161550132 7087688475154 7593951937665 8100215400176 9112742325198 10125269250220 10631532712731 12150323100264 14175376950308 15187903875330 16200430800352 17719221187885 18225484650396 20250538500440 21263065425462 22781855812995 24300646200528 28350753900616 30375807750660 31894598138193 32400861600704 35438442375770 36450969300792 40501077000880 42526130850924 45563711625990 48601292401056 53157663563655 56701507801232 60751615501320 63789196276386 64801723201408 70876884751540 72901938601584 81002154001760 85052261701848 91127423251980 97202584802112 106315327127310 113403015602464 121503231002640 127578392552772 129603446402816 141753769503080 145803877203168 159472990690965 162004308003520 170104523403696 182254846503960 194405169604224 212630654254620 226806031204928 243006462005280 255156785105544 283507539006160 291607754406336 318945981381930 324008616007040 340209046807392 364509693007920 388810339208448 425261308509240 453612062409856 486012924010560 510313570211088 567015078012320 583215508812672 637891962763860 648017232014080 680418093614784 729019386015840 850522617018480 907224124819712 972025848021120 1020627140422176 1134030156024640 1166431017625344 1275783925527720 1360836187229568 1458038772031680 1701045234036960 1944051696042240 2041254280844352 2268060312049280 2551567851055440 2721672374459136 2916077544063360 3402090468073920 4082508561688704 4536120624098560 5103135702110880 5832155088126720 6804180936147840 8165017123377408 10206271404221760 13608361872295680 20412542808443520 40825085616887040
• Sum of all divisors σ(n): 161430504680180736
• Sum of proper divisors (its aliquot sum) s(n): 120605419063293696
• 40825085616887040 is an abundant number, because the sum of its proper divisors (120605419063293696) is greater than itself. Its abundance is 79780333446406656

Bases of 40825085616887040

• Binary: 10010001000010100011001011110110000111101001010100000000₂
• Hexadecimal: 0x910A32F61E9500
• Base-36: B5ZA9F3TJ40

Squares and roots of 40825085616887040

• 40825085616887040 squared (40825085616887040²) is 1666687615626157067346420119961600
• 40825085616887040 cubed (40825085616887040³) is 68042664604543180306046105693556279135556337664000
• The square root of 40825085616887040 is 202052185.3801315359
• The cube root of 40825085616887040 is 344330.6650624451

Scales and comparisons

• 40,825,085,616,887,040 seconds is equal to 1,298,111,442 years, 17 weeks, 3 days, 6 hours, 24 minutes.
• To count from 1 to 40,825,085,616,887,040 would take you about three billion, eight hundred ninety-four million, three hundred thirty-four thousand, three hundred twenty-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 40825085616887040 cubic inches would be around 28694.2 feet tall.

Recreational maths with 40825085616887040

• 40825085616887040 backwards is 04078861658052804
• 40825085616887040 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40825085616887040's digits is 72
• More coming soon!