135216086400

Names of 135216086400

• Cardinal: 135216086400 can be written as One hundred thirty-five billion, two hundred sixteen million, eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.352160864 × 10¹¹

Factors of 135216086400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 149

Divisors of 135216086400

• Number of divisors d(n): 576
• 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 64 72 75 80 81 90 96 100 108 120 128 135 139 144 150 160 162 180 192 200 216 225 240 243 270 278 288 300 320 324 360 384 400 405 417 432 450 480 486 540 556 576 600 640 648 675 695 720 729 800 810 834 864 900 960 972 1080 1112 1152 1200 1215 1251 1296 1350 1390 1440 1458 1600 1620 1668 1728 1800 1920 1944 2025 2085 2160 2187 2224 2400 2430 2502 2592 2700 2780 2880 2916 3200 3240 3336 3456 3475 3600 3645 3753 3888 4050 4170 4320 4374 4448 4800 4860 5004 5184 5400 5560 5760 5832 6075 6255 6480 6672 6950 7200 7290 7506 7776 8100 8340 8640 8748 8896 9600 9720 10008 10368 10425 10800 10935 11120 11259 11664 12150 12510 12960 13344 13900 14400 14580 15012 15552 16200 16680 17280 17496 17792 18225 18765 19321 19440 20016 20850 21600 21870 22240 22518 23328 24300 25020 25920 26688 27800 28800 29160 30024 31104 31275 32400 33360 33777 34992 36450 37530 38642 38880 40032 41700 43200 43740 44480 45036 46656 48600 50040 51840 53376 54675 55600 56295 57963 58320 60048 62550 64800 66720 67554 69984 72900 75060 77284 77760 80064 83400 86400 87480 88960 90072 93312 93825 96605 97200 100080 101331 109350 111200 112590 115926 116640 120096 125100 129600 133440 135108 139968 145800 150120 154568 155520 160128 166800 168885 173889 174960 180144 187650 193210 194400 200160 202662 218700 222400 225180 231852 233280 240192 250200 259200 266880 270216 279936 281475 289815 291600 300240 303993 309136 333600 337770 347778 349920 360288 375300 386420 388800 400320 405324 437400 444800 450360 463704 466560 480384 483025 500400 506655 521667 540432 562950 579630 583200 600480 607986 618272 667200 675540 695556 699840 720576 750600 772840 777600 800640 810648 844425 869445 874800 900720 927408 966050 1000800 1013310 1043334 1080864 1125900 1159260 1166400 1200960 1215972 1236544 1334400 1351080 1391112 1399680 1441152 1449075 1501200 1519965 1545680 1565001 1621296 1688850 1738890 1749600 1801440 1854816 1932100 2001600 2026620 2086668 2161728 2251800 2318520 2332800 2401920 2431944 2473088 2533275 2608335 2702160 2782224 2898150 3002400 3039930 3091360 3130002 3242592 3377700 3477780 3499200 3602880 3709632 3864200 4003200 4053240 4173336 4323456 4347225 4503600 4637040 4695003 4863888 5066550 5216670 5404320 5564448 5796300 6004800 6079860 6182720 6260004 6485184 6755400 6955560 6998400 7205760 7419264 7599825 7728400 7825005 8106480 8346672 8694450 9007200 9274080 9390006 9727776 10133100 10433340 10808640 11128896 11592600 12009600 12159720 12365440 12520008 12970368 13041675 13510800 13911120 14085009 15199650 15456800 15650010 16212960 16693344 17388900 18014400 18548160 18780012 19455552 20266200 20866680 21617280 22257792 23185200 23475015 24319440 25040016 26083350 27021600 27822240 28170018 30399300 30913600 31300020 32425920 33386688 34777800 36028800 37096320 37560024 38911104 39125025 40532400 41733360 42255027 46370400 46950030 48638880 50080032 52166700 54043200 55644480 56340036 60798600 61827200 62600040 64851840 66773376 69555600 70425045 75120048 78250050 81064800 83466720 84510054 92740800 93900060 97277760 100160064 104333400 108086400 111288960 112680072 117375075 121597200 125200080 139111200 140850090 150240096 156500100 162129600 166933440 169020108 185481600 187800120 194555520 200320128 208666800 211275135 225360144 234750150 243194400 250400160 278222400 281700180 300480192 313000200 324259200 333866880 338040216 352125225 375600240 417333600 422550270 450720288 469500300 486388800 500800320 556444800 563400360 600960384 626000400 676080432 704250450 751200480 834667200 845100540 901440576 939000600 972777600 1001600640 1056375675 1126800720 1252000800 1352160864 1408500900 1502400960 1669334400 1690201080 1802881152 1878001200 2112751350 2253601440 2504001600 2704321728 2817001800 3004801920 3380402160 3756002400 4225502700 4507202880 5008003200 5408643456 5634003600 6760804320 7512004800 8451005400 9014405760 11268007200 13521608640 15024009600 16902010800 22536014400 27043217280 33804021600 45072028800 67608043200 135216086400
• Sum of all divisors σ(n): 504592592400
• Sum of proper divisors (its aliquot sum) s(n): 369376506000
• 135216086400 is an abundant number, because the sum of its proper divisors (369376506000) is greater than itself. Its abundance is 234160419600

Bases of 135216086400

• Binary: 1111101111011100000011011110110000000₂
• Hexadecimal: 0x1F7B81BD80
• Base-36: 1Q486000

Squares and roots of 135216086400

• 135216086400 squared (135216086400²) is 18283390021332264960000
• 135216086400 cubed (135216086400³) is 2472208444809361381939052544000000
• The square root of 135216086400 is 367717.4001866107
• The cube root of 135216086400 is 5132.6634368795

Scales and comparisons

• 135,216,086,400 seconds is equal to 4,299 years, 23 weeks, 4 days.
• To count from 1 to 135,216,086,400 would take you about eight thousand, five hundred ninety-eight 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 135216086400 cubic inches would be around 427.7 feet tall.

Recreational maths with 135216086400

• 135216086400 backwards is 004680612531
• 135216086400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135216086400's digits is 36
• More coming soon!