997606976705582400

Names of 997606976705582400

• Cardinal: 997606976705582400 can be written as Nine hundred ninety-seven quadrillion, six hundred six trillion, nine hundred seventy-six billion, seven hundred five million, five hundred eighty-two thousand, four hundred.

Scientific notation

• Scientific notation: 9.976069767055824 × 10¹⁷

Factors of 997606976705582400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 378569739258

Divisors of 997606976705582400

• Number of divisors d(n): 336
• 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 61 64 72 75 80 90 96 100 108 120 122 135 144 150 160 180 183 192 200 216 225 240 244 270 288 300 305 320 360 366 400 432 450 480 488 540 549 576 600 610 675 720 732 800 864 900 915 960 976 1080 1098 1200 1220 1350 1440 1464 1525 1600 1647 1728 1800 1830 1952 2160 2196 2400 2440 2700 2745 2880 2928 3050 3294 3600 3660 3904 4320 4392 4575 4800 4880 5400 5490 5856 6100 6588 7200 7320 8235 8640 8784 9150 9760 10800 10980 11712 12200 13176 13725 14400 14640 16470 17568 18300 19520 21600 21960 24400 26352 27450 29280 32940 35136 36600 41175 43200 43920 48800 52704 54900 58560 65880 73200 82350 87840 97600 105408 109800 131760 146400 164700 175680 219600 263520 292800 329400 439200 527040 658800 878400 1317600 2635200 378569739187 757139478374 1135709217561 1514278956748 1892848695935 2271418435122 3028557913496 3407127652683 3785697391870 4542836870244 5678546087805 6057115826992 6814255305366 7571394783740 9085673740488 9464243479675 10221382958049 11357092175610 12114231653984 13628510610732 15142789567480 17035638263415 18171347480976 18928486959350 20442765916098 22714184351220 23092754090407 24228463307968 27257021221464 28392730439025 30285579134960 34071276526830 36342694961952 37856973918700 40885531832196 45428368702440 46185508180814 51106914790245 54514042442928 56785460878050 60571158269920 68142553053660 69278262271221 72685389923904 75713947837400 81771063664392 85178191317075 90856737404880 92371016361628 102213829580490 109028084885856 113570921756100 115463770452035 121142316539840 136285106107320 138556524542442 151427895674800 163542127328784 170356382634150 181713474809760 184742032723256 204427659160980 207834786813663 218056169771712 227141843512200 230927540904070 255534573951225 272570212214640 277113049084884 302855791349600 327084254657568 340712765268300 346391311356105 363426949619520 369484065446512 408855318321960 415669573627326 454283687024400 461855081808140 511069147902450 545140424429280 554226098169768 577318852260175 605711582699200 623504360440989 654168509315136 681425530536600 692782622712210 738968130893024 817710636643920 831339147254652 908567374048800 923710163616280 1022138295804900 1039173934068315 1090280848858560 1108452196339536 1154637704520350 1247008720881978 1362851061073200 1385565245424420 1477936261786048 1635421273287840 1662678294509304 1731956556780525 1817134748097600 1847420327232560 2044276591609800 2078347868136630 2216904392679072 2309275409040700 2494017441763956 2725702122146400 2771130490848840 3117521802204945 3270842546575680 3325356589018608 3463913113561050 3694840654465120 4088553183219600 4156695736273260 4433808785358144 4618550818081400 4988034883527912 5195869670341575 5451404244292800 5542260981697680 6235043604409890 6650713178037216 6927826227122100 7389681308930240 8177106366439200 8313391472546520 9237101636162800 9976069767055824 10391739340683150 11084521963395360 12470087208819780 13301426356074432 13855652454244200 15587609011024725 16354212732878400 16626782945093040 18474203272325600 19952139534111648 20783478681366300 22169043926790720 24940174417639560 27711304908488400 31175218022049450 33253565890186080 36948406544651200 39904279068223296 41566957362732600 49880348835279120 55422609816976800 62350436044098900 66507131780372160 83133914725465200 99760697670558240 110845219633953600 124700872088197800 166267829450930400 199521395341116480 249401744176395600 332535658901860800 498803488352791200 997606976705582400
• Sum of all divisors σ(n): 3696264076694226880
• Sum of proper divisors (its aliquot sum) s(n): 2698657099988644480
• 997606976705582400 is an abundant number, because the sum of its proper divisors (2698657099988644480) is greater than itself. Its abundance is 1701050123283062080

Bases of 997606976705582400

• Binary: 110111011000001101100100001001111111111111001101010101000000₂
• Hexadecimal: 0xDD836427FFCD540
• Base-36: 7KUU5Q9TNTC0

Squares and roots of 997606976705582400

• 997606976705582400 squared (997606976705582400²) is 995219679971652425263491323189760000
• 997606976705582400 cubed (997606976705582400³) is 992838096094417432011808032312809987961166516224000000
• The square root of 997606976705582400 is 998802771.6749600611
• The cube root of 997606976705582400 is 999201.6884367639

Scales and comparisons

• 997,606,976,705,582,400 seconds is equal to 31,720,816,058 years, 13 weeks, 12 hours.
• To count from 1 to 997,606,976,705,582,400 would take you about ninety-five billion, one hundred sixty-two million, four hundred forty-eight thousand, one hundred seventy-four 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 997606976705582400 cubic inches would be around 83266.8 feet tall.

Recreational maths with 997606976705582400

• 997606976705582400 backwards is 004285507679606799
• 997606976705582400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 997606976705582400's digits is 90
• More coming soon!