132075584909600400

Names of 132075584909600400

• Cardinal: 132075584909600400 can be written as One hundred thirty-two quadrillion, seventy-five trillion, five hundred eighty-four billion, nine hundred nine million, six hundred thousand, four hundred.

Scientific notation

• Scientific notation: 1.320755849096004 × 10¹⁷

Factors of 132075584909600400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 39070993374

Divisors of 132075584909600400

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 313 360 400 432 450 540 600 626 675 720 900 939 1080 1200 1252 1350 1565 1800 1878 2160 2504 2700 2817 3130 3600 3756 4695 5008 5400 5634 6260 7512 7825 8451 9390 10800 11268 12520 14085 15024 15650 16902 18780 22536 23475 25040 28170 31300 33804 37560 42255 45072 46950 56340 62600 67608 70425 75120 84510 93900 112680 125200 135216 140850 169020 187800 211275 225360 281700 338040 375600 422550 563400 676080 845100 1126800 1690200 3380400 39070993051 78141986102 117212979153 156283972204 195354965255 234425958306 312567944408 351638937459 390709930510 468851916612 586064895765 625135888816 703277874918 781419861020 937703833224 976774826275 1054916812377 1172129791530 1406555749836 1562839722040 1758194687295 1875407666448 1953549652550 2109833624754 2344259583060 2813111499672 2930324478825 3125679444080 3516389374590 3907099305100 4219667249508 4688519166120 5274584061885 5626222999344 5860648957650 7032778749180 7814198610200 8439334499016 8790973436475 9377038332240 10549168123770 11721297915300 12229220824963 14065557498360 15628397220400 16878668998032 17581946872950 21098336247540 23442595830600 24458441649926 26372920309425 28131114996720 35163893745900 36687662474889 42196672495080 46885191661200 48916883299852 52745840618850 61146104124815 70327787491800 73375324949778 84393344990160 97833766599704 105491681237700 110062987424667 122292208249630 140655574983600 146750649899556 183438312374445 195667533199408 210983362475400 220125974849334 244584416499260 293501299799112 305730520624075 330188962274001 366876624748890 421966724950800 440251949698668 489168832998520 550314937123335 587002599598224 611461041248150 660377924548002 733753249497780 880503899397336 917191561872225 978337665997040 1100629874246670 1222922082496300 1320755849096004 1467506498995560 1650944811370005 1761007798794672 1834383123744450 2201259748493340 2445844164992600 2641511698192008 2751574685616675 2935012997991120 3301889622740010 3668766247488900 4402519496986680 4891688329985200 5283023396384016 5503149371233350 6603779245480020 7337532494977800 8254724056850025 8805038993973360 11006298742466700 13207558490960040 14675064989955600 16509448113700050 22012597484933400 26415116981920080 33018896227400100 44025194969866800 66037792454800200 132075584909600400
• Sum of all divisors σ(n): 471593137496528320
• Sum of proper divisors (its aliquot sum) s(n): 339517552586927920
• 132075584909600400 is an abundant number, because the sum of its proper divisors (339517552586927920) is greater than itself. Its abundance is 207441967677327520

Bases of 132075584909600400

• Binary: 111010101001110100000101101110010000010011110011010010000₂
• Hexadecimal: 0x1D53A0B7209E690
• Base-36: 104GVY30MMC0

Squares and roots of 132075584909600400

• 132075584909600400 squared (132075584909600400²) is 17443960129213064900640087680160000
• 132075584909600400 cubed (132075584909600400³) is 2303921237205564118298197073016521223348608064000000
• The square root of 132075584909600400 is 363422047.9134423677
• The cube root of 132075584909600400 is 509261.5031200413

Scales and comparisons

• 132,075,584,909,600,400 seconds is equal to 4,199,595,063 years, 26 weeks, 6 days, 9 hours.
• To count from 1 to 132,075,584,909,600,400 would take you about twelve billion, five hundred ninety-eight million, seven hundred eighty-five thousand, one hundred ninety 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 132075584909600400 cubic inches would be around 42438.5 feet tall.

Recreational maths with 132075584909600400

• 132075584909600400 backwards is 004006909485570231
• The number of decimal digits it has is: 18
• The sum of 132075584909600400's digits is 63
• More coming soon!