34738668962455680

Names of 34738668962455680

• Cardinal: 34738668962455680 can be written as Thirty-four quadrillion, seven hundred thirty-eight trillion, six hundred sixty-eight billion, nine hundred sixty-two million, four hundred fifty-five thousand, six hundred eighty.

Scientific notation

• Scientific notation: 3.473866896245568 × 10¹⁶

Factors of 34738668962455680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 84680330

Divisors of 34738668962455680

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 23747 47494 71241 94988 118735 142482 189976 213723 237470 284964 356205 379952 427446 474940 569928 641169 712410 759904 854892 949880 1068615 1139856 1282338 1424820 1519808 1709784 1899760 2137230 2279712 2564676 2849640 3039616 3205845 3419568 3799520 4274460 4559424 5129352 5699280 6411690 6839136 7599040 8548920 9118848 10258704 11398560 12823380 13678272 15198080 17097840 20517408 22797120 25646760 27356544 34195680 41034816 45594240 51293520 68391360 82069632 84656573 102587040 136782720 169313146 205174080 253969719 338626292 410348160 423282865 507939438 677252584 761909157 846565730 1015878876 1269848595 1354505168 1523818314 1693131460 2031757752 2285727471 2539697190 2709010336 3047636628 3386262920 3809545785 4063515504 4571454942 5079394380 5418020672 6095273256 6772525840 7619091570 8127031008 9142909884 10158788760 10836041344 11428637355 12190546512 13545051680 15238183140 16254062016 18285819768 20317577520 22857274710 24381093024 27090103360 30476366280 32508124032 36571639536 40635155040 45714549420 48762186048 54180206720 60952732560 73143279072 81270310080 91429098840 97524372096 121905465120 146286558144 162540620160 182858197680 243810930240 292573116288 365716395360 487621860480 731432790720 1462865581440 2010339639031 4020679278062 6031018917093 8041358556124 10051698195155 12062037834186 16082717112248 18093056751279 20103396390310 24124075668372 30155094585465 32165434224496 36186113502558 40206792780620 48248151336744 54279170253837 60310189170930 64330868448992 72372227005116 80413585561240 90465283756395 96496302673488 108558340507674 120620378341860 128661736897984 144744454010232 160827171122480 180930567512790 192992605346976 217116681015348 241240756683720 257323473795968 271395851269185 289488908020464 321654342244960 361861135025580 385985210693952 434233362030696 482481513367440 542791702538370 578977816040928 643308684489920 723722270051160 771970421387904 868466724061392 964963026734880 1085583405076740 1157955632081856 1286617368979840 1447444540102320 1736933448122784 1929926053469760 2171166810153480 2315911264163712 2894889080204640 3473866896245568 3859852106939520 4342333620306960 5789778160409280 6947733792491136 8684667240613920 11579556320818560 17369334481227840 34738668962455680
• Sum of all divisors σ(n): 123037968344342400
• Sum of proper divisors (its aliquot sum) s(n): 88299299381886720
• 34738668962455680 is an abundant number, because the sum of its proper divisors (88299299381886720) is greater than itself. Its abundance is 53560630419431040

Bases of 34738668962455680

• Binary: 1111011011010101010001010100111011110100010000010000000₂
• Hexadecimal: 0x7B6AA2A77A2080
• Base-36: 9I1TW7IE5C0

Squares and roots of 34738668962455680

• 34738668962455680 squared (34738668962455680²) is 1206775121283081590789415964262400
• 34738668962455680 cubed (34738668962455680³) is 41921761450380275360936144055120457170223890432000
• The square root of 34738668962455680 is 186383124.1353564177
• The cube root of 34738668962455680 is 326290.4714156987

Scales and comparisons

• 34,738,668,962,455,680 seconds is equal to 1,104,582,219 years, 12 weeks, 6 days, 4 hours, 48 minutes.
• To count from 1 to 34,738,668,962,455,680 would take you about three billion, three hundred thirteen million, seven hundred forty-six thousand, six hundred fifty-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 34738668962455680 cubic inches would be around 27190.9 feet tall.

Recreational maths with 34738668962455680

• 34738668962455680 backwards is 08655426986683743
• 34738668962455680 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34738668962455680's digits is 90
• More coming soon!