34125408000

Names of 34125408000

• Cardinal: 34125408000 can be written as Thirty-four billion, one hundred twenty-five million, four hundred eight thousand.

Scientific notation

• Scientific notation: 3.4125408 × 10¹⁰

Factors of 34125408000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 448

Divisors of 34125408000

• 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 90 96 100 108 120 125 127 128 135 144 150 160 180 192 200 216 225 240 250 254 256 270 288 300 311 320 360 375 381 384 400 432 450 480 500 508 540 576 600 622 635 640 675 720 750 762 768 800 864 900 933 960 1000 1016 1080 1125 1143 1152 1200 1244 1270 1280 1350 1440 1500 1524 1555 1600 1728 1800 1866 1905 1920 2000 2032 2160 2250 2286 2304 2400 2488 2540 2700 2799 2880 3000 3048 3110 3175 3200 3375 3429 3456 3600 3732 3810 3840 4000 4064 4320 4500 4572 4665 4800 4976 5080 5400 5598 5715 5760 6000 6096 6220 6350 6400 6750 6858 6912 7200 7464 7620 7775 8000 8128 8397 8640 9000 9144 9330 9525 9600 9952 10160 10800 11196 11430 11520 12000 12192 12440 12700 13500 13716 13995 14400 14928 15240 15550 15875 16000 16256 16794 17145 17280 18000 18288 18660 19050 19200 19904 20320 21600 22392 22860 23325 24000 24384 24880 25400 27000 27432 27990 28575 28800 29856 30480 31100 31750 32000 32512 33588 34290 34560 36000 36576 37320 38100 38875 39497 39808 40640 41985 43200 44784 45720 46650 47625 48000 48768 49760 50800 54000 54864 55980 57150 57600 59712 60960 62200 63500 67176 68580 69975 72000 73152 74640 76200 77750 78994 79616 81280 83970 85725 86400 89568 91440 93300 95250 96000 97536 99520 101600 108000 109728 111960 114300 116625 118491 119424 121920 124400 127000 134352 137160 139950 142875 144000 146304 149280 152400 155500 157988 162560 167940 171450 172800 179136 182880 186600 190500 197485 199040 203200 209925 216000 219456 223920 228600 233250 236982 238848 243840 248800 254000 268704 274320 279900 285750 288000 292608 298560 304800 311000 315976 335880 342900 349875 355473 358272 365760 373200 381000 394970 398080 406400 419850 428625 432000 438912 447840 457200 466500 473964 487680 497600 508000 537408 548640 559800 571500 592455 597120 609600 622000 631952 671760 685800 699750 710946 716544 731520 746400 762000 789940 812800 839700 857250 864000 877824 895680 914400 933000 947928 987425 995200 1016000 1049625 1066419 1074816 1097280 1119600 1143000 1184910 1194240 1219200 1244000 1263904 1343520 1371600 1399500 1421892 1463040 1492800 1524000 1579880 1679400 1714500 1777365 1791360 1828800 1866000 1895856 1974850 1990400 2032000 2099250 2132838 2149632 2194560 2239200 2286000 2369820 2438400 2488000 2527808 2687040 2743200 2799000 2843784 2962275 2985600 3048000 3159760 3358800 3429000 3554730 3582720 3657600 3732000 3791712 3949700 4064000 4198500 4265676 4389120 4478400 4572000 4739640 4937125 4976000 5055616 5332095 5374080 5486400 5598000 5687568 5924550 5971200 6096000 6319520 6717600 6858000 7109460 7315200 7464000 7583424 7899400 8397000 8531352 8886825 8956800 9144000 9479280 9874250 9952000 10111232 10664190 10748160 10972800 11196000 11375136 11849100 12192000 12639040 13435200 13716000 14218920 14811375 14928000 15166848 15798800 16794000 17062704 17773650 17913600 18288000 18958560 19748500 21328380 21945600 22392000 22750272 23698200 25278080 26660475 26870400 27432000 28437840 29622750 29856000 30333696 31597600 33588000 34125408 35547300 36576000 37917120 39497000 42656760 44434125 44784000 45500544 47396400 50556160 53320950 53740800 54864000 56875680 59245500 63195200 67176000 68250816 71094600 75834240 78994000 85313520 88868250 89568000 91001088 94792800 106641900 109728000 113751360 118491000 126390400 133302375 134352000 136501632 142189200 151668480 157988000 170627040 177736500 189585600 213283800 227502720 236982000 252780800 266604750 268704000 273003264 284378400 315976000 341254080 355473000 379171200 426567600 455005440 473964000 533209500 568756800 631952000 682508160 710946000 758342400 853135200 947928000 1066419000 1137513600 1263904000 1365016320 1421892000 1706270400 1895856000 2132838000 2275027200 2843784000 3412540800 3791712000 4265676000 5687568000 6825081600 8531352000 11375136000 17062704000 34125408000
• Sum of all divisors σ(n): 127341527040
• Sum of proper divisors (its aliquot sum) s(n): 93216119040
• 34125408000 is an abundant number, because the sum of its proper divisors (93216119040) is greater than itself. Its abundance is 59090711040

Bases of 34125408000

• Binary: 11111110010000010000110011100000000₂
• Hexadecimal: 0x7F2086700
• Base-36: FODDXC0

Squares and roots of 34125408000

• 34125408000 squared (34125408000²) is 1164543471166464000000
• 34125408000 cubed (34125408000³) is 39740521087291819917312000000000
• The square root of 34125408000 is 184730.6363330133
• The cube root of 34125408000 is 3243.5899850899

Scales and comparisons

• 34,125,408,000 seconds is equal to 1,085 years, 4 weeks, 2 days.
• To count from 1 to 34,125,408,000 would take you about two thousand, one hundred seventy 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 34125408000 cubic inches would be around 270.3 feet tall.

Recreational maths with 34125408000

• 34125408000 backwards is 00080452143
• 34125408000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34125408000's digits is 27
• More coming soon!