34380434728800

Names of 34380434728800

• Cardinal: 34380434728800 can be written as Thirty-four trillion, three hundred eighty billion, four hundred thirty-four million, seven hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 3.43804347288 × 10¹³

Factors of 34380434728800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 21954

Divisors of 34380434728800

• Number of divisors d(n): 432
• 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 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 271 288 300 360 400 432 450 480 540 542 600 675 720 800 813 864 900 1080 1084 1200 1350 1355 1440 1626 1800 2160 2168 2400 2439 2700 2710 3252 3600 4065 4320 4336 4878 5400 5420 6504 6775 7200 7317 8130 8672 9756 10800 10840 12195 13008 13550 14634 16260 19512 20325 21600 21673 21680 24390 26016 27100 29268 32520 36585 39024 40650 43346 43360 48780 54200 58536 60975 65019 65040 73170 73441 78048 81300 86692 97560 108365 108400 117072 121950 130038 130080 146340 146882 162600 173384 182925 195057 195120 216730 216800 220323 234144 243900 260076 292680 293764 325095 325200 346768 365850 367205 390114 390240 433460 440646 487800 520152 541825 585171 585360 587528 650190 650400 660969 693536 731700 734410 780228 866920 881292 975285 975600 1040304 1083650 1101615 1170342 1170720 1175056 1300380 1321938 1463400 1468820 1560456 1625475 1733840 1762584 1836025 1950570 1951200 1982907 2080608 2167300 2203230 2340684 2350112 2600760 2643876 2925855 2926800 2937640 3120912 3250950 3304845 3467680 3525168 3672050 3901140 3965814 4334600 4406460 4681368 4876425 5201520 5287752 5508075 5851710 5853600 5873383 5875280 6241824 6501900 6609690 7050336 7344100 7802280 7931628 8669200 8812920 9362736 9752850 9914535 10403040 10575504 11016150 11703420 11746766 11750560 13003800 13219380 14629275 14688200 15604560 15863256 16524225 17338400 17620149 17625840 18725472 19505700 19829070 21151008 22032300 23406840 23493532 26007600 26438760 29258550 29366915 29376400 31209120 31726512 33048450 35240298 35251680 39011400 39658140 44064600 46813680 46987064 49572675 52015200 52860447 52877520 58517100 58733830 58752800 63453024 66096900 70480596 78022800 79316280 88100745 88129200 93627360 93974128 99145350 105720894 105755040 117034200 117467660 132193800 140961192 146834575 156045600 158581341 158632560 176201490 176258400 187948256 198290700 211441788 234068400 234935320 264302235 264387600 281922384 293669150 317162682 317265120 352402980 396581400 422883576 440503725 468136800 469870640 528604470 528775200 563844768 587338300 634325364 704805960 792906705 793162800 845767152 881007450 939741280 1057208940 1174676600 1268650728 1321511175 1409611920 1585813410 1586325600 1591686793 1691534304 1762014900 2114417880 2349353200 2537301456 2643022350 2819223840 3171626820 3183373586 3524029800 3964533525 4228835760 4698706400 4775060379 5074602912 5286044700 6343253640 6366747172 7048059600 7929067050 7958433965 8457671520 9550120758 10572089400 12686507280 12733494344 14096119200 14325181137 15858134100 15916867930 19100241516 21144178800 23875301895 25373014560 25466988688 28650362274 31716268200 31833735860 38200483032 39792169825 42288357600 42975543411 47750603790 50933977376 57300724548 63432536400 63667471720 71625905685 76400966064 79584339650 85951086822 95501207580 114601449096 119376509475 126865072800 127334943440 143251811370 152801932128 159168679300 171902173644 191002415160 214877717055 229202898192 238753018950 254669886880 286503622740 318337358600 343804347288 358129528425 382004830320 429755434110 458405796384 477506037900 573007245480 636674717200 687608694576 716259056850 764009660640 859510868220 955012075800 1074388585275 1146014490960 1273349434400 1375217389152 1432518113700 1719021736440 1910024151600 2148777170550 2292028981920 2865036227400 3438043472880 3820048303200 4297554341100 5730072454800 6876086945760 8595108682200 11460144909600 17190217364400 34380434728800
• Sum of all divisors σ(n): 124808852503440
• Sum of proper divisors (its aliquot sum) s(n): 90428417774640
• 34380434728800 is an abundant number, because the sum of its proper divisors (90428417774640) is greater than itself. Its abundance is 56047983045840

Bases of 34380434728800

• Binary: 111110100010011010001100110010110011101100000₂
• Hexadecimal: 0x1F44D1996760
• Base-36: C6Q5J5SO0

Squares and roots of 34380434728800

• 34380434728800 squared (34380434728800²) is 1182014292141277129549440000
• 34380434728800 cubed (34380434728800³) is 40638165219471913140746743672591872000000
• The square root of 34380434728800 is 5863483.1566910807
• The cube root of 34380434728800 is 32516.4996232411

Scales and comparisons

• 34,380,434,728,800 seconds is equal to 1,093,191 years, 24 weeks, 6 days, 6 hours.
• To count from 1 to 34,380,434,728,800 would take you about two million, seven hundred thirty-two thousand, nine hundred seventy-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 34380434728800 cubic inches would be around 2709.7 feet tall.

Recreational maths with 34380434728800

• 34380434728800 backwards is 00882743408343
• 34380434728800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34380434728800's digits is 54
• More coming soon!