3413538961610400

Names of 3413538961610400

• Cardinal: 3413538961610400 can be written as Three quadrillion, four hundred thirteen trillion, five hundred thirty-eight billion, nine hundred sixty-one million, six hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 3.4135389616104 × 10¹⁵

Factors of 3413538961610400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 27545765

Divisors of 3413538961610400

• 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 25 28 30 32 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 96 100 105 112 120 126 140 144 150 160 168 175 180 200 210 224 225 240 252 280 288 300 315 336 350 360 400 420 450 480 504 525 560 600 630 672 700 720 800 840 900 1008 1050 1120 1200 1260 1400 1440 1575 1680 1800 2016 2100 2400 2459 2520 2800 3150 3360 3600 4200 4918 5040 5600 6300 7200 7377 8400 9836 10080 12295 12600 14754 16800 17213 19672 22131 24590 25200 29508 34426 36885 39344 44262 49180 50400 51639 59016 61475 68852 73770 78688 86065 88524 98360 103278 110655 118032 122950 137704 147540 154917 172130 177048 184425 196720 206556 221310 236064 245900 258195 275408 295080 309834 344260 354096 368850 393440 413112 430325 442620 491800 516390 550816 553275 590160 619668 688520 708192 737700 774585 826224 860650 885240 983600 1032780 1106550 1180320 1239336 1290975 1377040 1475400 1549170 1652448 1721300 1770480 1967200 2065560 2213100 2478672 2581950 2754080 2950800 3098340 3442600 3540960 3872925 4131120 4426200 4957344 5163900 5901600 6196680 6885200 7745850 8262240 8852400 10327800 12393360 13770400 15491700 17704800 20655600 24786720 27543289 30983400 41311200 55086578 61966800 82629867 110173156 123933600 137716445 165259734 192803023 220346312 247889601 275432890 330519468 385606046 413149335 440692624 495779202 550865780 578409069 661038936 688582225 771212092 826298670 881385248 964015115 991558404 1101731560 1156818138 1239448005 1322077872 1377164450 1542424184 1652597340 1735227207 1928030230 1983116808 2065746675 2203463120 2313636276 2478896010 2644155744 2754328900 2892045345 3084848368 3305194680 3470454414 3856060460 3966233616 4131493350 4406926240 4627272552 4820075575 4957792020 5508657800 5784090690 6169696736 6197240025 6610389360 6940908828 7712120920 7932467232 8262986700 8676136035 9254545104 9640151150 9915584040 11017315600 11568181380 12394480050 13220778720 13881817656 14460226725 15424241840 16525973400 17352272070 18509090208 19280302300 19831168080 22034631200 23136362760 24788960100 27763635312 28920453450 30848483680 33051946800 34704544140 38560604600 39662336160 43380680175 46272725520 49577920200 55527270624 57840906900 66103893600 67728947651 69409088280 77121209200 86761360350 92545451040 99155840400 115681813800 135457895302 138818176560 154242418400 173522720700 198311680800 203186842953 231363627600 270915790604 277636353120 338644738255 347045441400 406373685906 462727255200 474102633557 541831581208 609560528859 677289476510 694090882800 812747371812 948205267114 1015934214765 1083663162416 1219121057718 1354578953020 1388181765600 1422307900671 1625494743624 1693223691275 1896410534228 2031868429530 2167326324832 2370513167785 2438242115436 2709157906040 2844615801342 3047802644295 3250989487248 3386447382550 3792821068456 4063736859060 4266923702013 4741026335570 4876484230872 5079671073825 5418315812080 5689231602684 6095605288590 6501978974496 6772894765100 7111539503355 7585642136912 8127473718120 8533847404026 9482052671140 9752968461744 10159342147650 10836631624160 11378463205368 11852565838925 12191210577180 13545789530200 14223079006710 15171284273824 15239013221475 16254947436240 17067694808052 18964105342280 19505936923488 20318684295300 21334618510065 22756926410736 23705131677850 24382421154360 27091579060400 28446158013420 30478026442950 32509894872480 34135389616104 35557697516775 37928210684560 40637368590600 42669237020130 45513852821472 47410263355700 48764842308720 54183158120800 56892316026840 60956052885900 68270779232208 71115395033550 75856421369120 81274737181200 85338474040260 94820526711400 97529684617440 106673092550325 113784632053680 121912105771800 136541558464416 142230790067100 162549474362400 170676948080520 189641053422800 213346185100650 227569264107360 243824211543600 284461580134200 341353896161040 379282106845600 426692370201300 487648423087200 568923160268400 682707792322080 853384740402600 1137846320536800 1706769480805200 3413538961610400
• Sum of all divisors σ(n): 13762156887460800
• Sum of proper divisors (its aliquot sum) s(n): 10348617925850400
• 3413538961610400 is an abundant number, because the sum of its proper divisors (10348617925850400) is greater than itself. Its abundance is 6935078964240000

Bases of 3413538961610400

• Binary: 1100001000001001100001111001001110111101011010100000₂
• Hexadecimal: 0xC2098793BD6A0
• Base-36: XLZY5ES140

Squares and roots of 3413538961610400

• 3413538961610400 squared (3413538961610400²) is 11652248242432207884961388160000
• 3413538961610400 cubed (3413538961610400³) is 39775403365898647343747724157784533092864000000
• The square root of 3413538961610400 is 58425499.2414305349
• The cube root of 3413538961610400 is 150568.7880542719

Scales and comparisons

• 3,413,538,961,610,400 seconds is equal to 108,539,980 years, 10 weeks, 6 days, 10 hours.
• To count from 1 to 3,413,538,961,610,400 would take you about three hundred twenty-five million, six hundred nineteen thousand, nine hundred forty 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 3413538961610400 cubic inches would be around 12547.4 feet tall.

Recreational maths with 3413538961610400

• 3413538961610400 backwards is 0040161698353143
• The number of decimal digits it has is: 16
• The sum of 3413538961610400's digits is 54
• More coming soon!