3414931963610400

Names of 3414931963610400

• Cardinal: 3414931963610400 can be written as Three quadrillion, four hundred fourteen trillion, nine hundred thirty-one billion, nine hundred sixty-three million, six hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 3.4149319636104 × 10¹⁵

Factors of 3414931963610400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 131640430

Divisors of 3414931963610400

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1201 1350 1440 1800 2160 2400 2402 2700 3600 3603 4320 4804 5400 6005 7200 7206 9608 10800 10809 12010 14412 18015 19216 21600 21618 24020 28824 30025 32427 36030 38432 43236 48040 54045 57648 60050 64854 72060 86472 90075 96080 108090 115296 120100 129708 144120 162135 172944 180150 192160 216180 240200 259416 270225 288240 324270 345888 360300 432360 480400 518832 540450 576480 648540 720600 810675 864720 960800 1037664 1080900 1297080 1441200 1621350 1729440 2161800 2594160 2882400 3242700 4323600 5188320 6485400 8647200 12970800 25941600 131639219 263278438 394917657 526556876 658196095 789835314 1053113752 1184752971 1316392190 1579670628 1974588285 2106227504 2369505942 2632784380 3159341256 3290980475 3554258913 3949176570 4212455008 4739011884 5265568760 5923764855 6318682512 6581960950 7108517826 7898353140 9478023768 9872941425 10531137520 11847529710 12637365024 13163921900 14217035652 15796706280 17771294565 18956047536 19745882850 21062275040 23695059420 26327843800 28434071304 29618824275 31593412560 35542589130 37912095072 39491765700 47390118840 52655687600 56868142608 59237648550 63186825120 71085178260 78983531400 88856472825 94780237680 105311375200 113736285216 118475297100 142170356520 157967062800 158098702019 177712945650 189560475360 236950594200 284340713040 315934125600 316197404038 355425891300 473901188400 474296106057 568681426080 632394808076 710851782600 790493510095 947802376800 948592212114 1264789616152 1421703565200 1422888318171 1580987020190 1897184424228 2371480530285 2529579232304 2843407130400 2845776636342 3161974040380 3794368848456 3952467550475 4268664954513 4742961060570 5059158464608 5691553272684 6323948080760 7114441590855 7588737696912 7904935100950 8537329909026 9485922121140 11383106545368 11857402651425 12647896161520 14228883181710 15177475393824 15809870201900 17074659818052 18971844242280 21343324772565 22766213090736 23714805302850 25295792323040 28457766363420 31619740403800 34149319636104 35572207954275 37943688484560 42686649545130 45532426181472 47429610605700 56915532726840 63239480807600 68298639272208 71144415908550 75887376969120 85373299090260 94859221211400 106716623862825 113831065453680 126478961615200 136597278544416 142288831817100 170746598180520 189718442422800 213433247725650 227662130907360 284577663634200 341493196361040 379436884845600 426866495451300 569155327268400 682986392722080 853732990902600 1138310654536800 1707465981805200 3414931963610400
• Sum of all divisors σ(n): 12360954351412800
• Sum of proper divisors (its aliquot sum) s(n): 8946022387802400
• 3414931963610400 is an abundant number, because the sum of its proper divisors (8946022387802400) is greater than itself. Its abundance is 5531090424192000

Bases of 3414931963610400

• Binary: 1100001000011101110011001110100111111000010100100000₂
• Hexadecimal: 0xC21DCCE9F8520
• Base-36: XMHQ347BC0

Squares and roots of 3414931963610400

• 3414931963610400 squared (3414931963610400²) is 11661760316087982309802988160000
• 3414931963610400 cubed (3414931963610400³) is 39824118055372172406864896902398302052864000000
• The square root of 3414931963610400 is 58437419.2073058613
• The cube root of 3414931963610400 is 150589.2667130315

Scales and comparisons

• 3,414,931,963,610,400 seconds is equal to 108,584,273 years, 18 weeks, 6 days, 18 hours.
• To count from 1 to 3,414,931,963,610,400 would take you about three hundred twenty-five million, seven hundred fifty-two thousand, eight hundred twenty 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 3414931963610400 cubic inches would be around 12549.1 feet tall.

Recreational maths with 3414931963610400

• 3414931963610400 backwards is 0040163691394143
• 3414931963610400 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3414931963610400's digits is 54
• More coming soon!