54135738671515800

Names of 54135738671515800

• Cardinal: 54135738671515800 can be written as Fifty-four quadrillion, one hundred thirty-five trillion, seven hundred thirty-eight billion, six hundred seventy-one million, five hundred fifteen thousand, eight hundred.

Scientific notation

• Scientific notation: 5.41357386715158 × 10¹⁶

Factors of 54135738671515800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 36325

Divisors of 54135738671515800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 10141 20282 26161 30423 40564 50705 52322 60846 78483 81128 101410 104644 121692 130805 131833 152115 156966 202820 209288 243384 253525 261610 263666 304230 313932 340093 392415 395499 405640 507050 523220 527332 608460 627864 654025 659165 680186 760575 784830 790998 1014100 1020279 1046440 1054664 1216920 1308050 1318330 1360372 1521150 1569660 1581996 1700465 1962075 1977495 2028200 2040558 2616100 2636660 2720744 3042300 3139320 3163992 3295825 3400930 3924150 3954990 4081116 5101395 5232200 5273320 6084600 6591650 6801860 7848300 7909980 8162232 8502325 9887475 10202790 13183300 13603720 15696600 15819960 17004650 19774950 20405580 25506975 26366600 34009300 39549900 40811160 51013950 68018600 79099800 102027900 204055800 265298701 530597402 684397921 795896103 1061194804 1326493505 1368795842 1591792206 2053193763 2122389608 2652987010 2737591684 3183584412 3421989605 3448883113 3979480515 4106387526 5305974020 5475183368 6367168824 6632467525 6843979210 6897766226 7958961030 8212775052 8897172973 10265968815 10346649339 10611948040 13264935050 13687958420 13795532452 15917922060 16425550104 17109948025 17244415565 17794345946 19897402575 20531937630 20693298678 26529870100 26691518919 27375916840 27591064904 31835844120 34219896050 34488831130 35588691892 39794805150 41063875260 41386597356 44485864865 51329844075 51733246695 53059740200 53383037838 68439792100 68977662260 71177383784 79589610300 82127750520 82773194712 86222077825 88971729730 102659688150 103466493390 106766075676 133457594595 136879584200 137955324520 159179220600 172444155650 177943459460 205319376300 206932986780 213532151352 222429324325 258666233475 266915189190 344888311300 355886918920 410638752600 413865973560 444858648650 517332466950 533830378380 667287972975 689776622600 889717297300 1034664933900 1067660756760 1334575945950 1779434594600 2069329867800 2669151891900 5338303783800 6940479316861 13880958633722 20821437950583 27761917267444 34702396584305 41642875901166 55523834534888 69404793168610 83285751802332 90226231119193 104107189752915 138809586337220 166571503604664 173511982921525 180452462238386 208214379505830 270678693357579 277619172674440 347023965843050 360904924476772 416428759011660 451131155595965 520535948764575 541357386715158 694047931686100 721809848953544 832857518023320 902262311191930 1041071897529150 1082714773430316 1353393466787895 1388095863372200 1804524622383860 2082143795058300 2165429546860632 2255655777979825 2706786933575790 3609049244767720 4164287590116600 4511311555959650 5413573867151580 6766967333939475 9022623111919300 10827147734303160 13533934667878950 18045246223838600 27067869335757900 54135738671515800
• Sum of all divisors σ(n): 180754812456427440
• Sum of proper divisors (its aliquot sum) s(n): 126619073784911640
• 54135738671515800 is an abundant number, because the sum of its proper divisors (126619073784911640) is greater than itself. Its abundance is 72483335113395840

Bases of 54135738671515800

• Binary: 11000000010101000010101011100001001010110100100010011000₂
• Hexadecimal: 0xC0542AE12B4898
• Base-36: ET1IN0LO2OO

Squares and roots of 54135738671515800

• 54135738671515800 squared (54135738671515800²) is 2930678201510651274254269649640000
• 54135738671515800 cubed (54135738671515800³) is 158654429247288538622381486086138121513724312000000
• The square root of 54135738671515800 is 232670880.5835311227
• The cube root of 54135738671515800 is 378292.7536959249

Scales and comparisons

• 54,135,738,671,515,800 seconds is equal to 1,721,349,036 years, 47 weeks, 5 days, 20 hours, 10 minutes.
• To count from 1 to 54,135,738,671,515,800 would take you about five billion, one hundred sixty-four million, forty-seven thousand, one hundred ten 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 54135738671515800 cubic inches would be around 31524.4 feet tall.

Recreational maths with 54135738671515800

• 54135738671515800 backwards is 00851517683753145
• The number of decimal digits it has is: 17
• The sum of 54135738671515800's digits is 69
• More coming soon!