12135984448000

Names of 12135984448000

• Cardinal: 12135984448000 can be written as Twelve trillion, one hundred thirty-five billion, nine hundred eighty-four million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.2135984448 × 10¹³

Factors of 12135984448000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 171

Divisors of 12135984448000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 157 160 175 196 200 224 245 250 256 280 314 320 350 392 400 448 490 500 512 560 628 640 700 784 785 800 875 896 980 1000 1099 1120 1225 1256 1280 1400 1568 1570 1600 1750 1792 1960 2000 2198 2240 2450 2512 2560 2800 3136 3140 3200 3500 3584 3920 3925 4000 4396 4480 4900 5024 5495 5600 6125 6272 6280 6400 7000 7693 7840 7850 8000 8792 8960 9800 10048 10990 11200 12250 12544 12560 12800 14000 15386 15680 15700 16000 17584 17920 19600 19625 20096 21980 22400 24500 24649 25088 25120 27475 28000 30772 31360 31400 32000 35168 38465 39200 39250 40192 43960 44800 49000 49298 50240 54950 56000 61544 62720 62800 64000 70336 76930 78400 78500 80384 87920 89600 98000 98596 100480 109900 112000 123088 123245 125440 125600 137375 140672 153860 156800 157000 172543 175840 192325 196000 197192 200960 219800 224000 246176 246490 251200 274750 281344 307720 313600 314000 345086 351680 384650 392000 394384 401920 439600 448000 492352 492980 502400 549500 562688 615440 616225 627200 628000 690172 703360 769300 784000 788768 862715 879200 961625 984704 985960 1004800 1099000 1207801 1230880 1232450 1256000 1380344 1406720 1538600 1568000 1577536 1725430 1758400 1923250 1969408 1971920 2009600 2198000 2415602 2461760 2464900 2512000 2760688 2813440 3077200 3081125 3136000 3155072 3450860 3516800 3846500 3869893 3938816 3943840 4313575 4396000 4831204 4923520 4929800 5024000 5521376 6039005 6154400 6162250 6310144 6901720 7033600 7693000 7739786 7887680 8627150 8792000 9662408 9847040 9859600 10048000 11042752 12078010 12308800 12324500 12620288 13803440 14067200 15386000 15479572 15775360 17254300 17584000 19324816 19349465 19694080 19719200 21567875 22085504 24156020 24617600 24649000 27089251 27606880 30195025 30772000 30959144 31550720 34508600 35168000 38649632 38698930 39438400 43135750 44171008 48312040 49235200 49298000 54178502 55213760 60390050 61544000 61918288 63101440 69017200 70336000 77299264 77397860 78876800 86271500 88342016 96624080 96747325 98470400 98596000 108357004 110427520 120780100 123088000 123836576 135446255 138034400 150975125 154598528 154795720 157753600 172543000 189624757 193248160 193494650 197192000 216714008 220855040 241560200 246176000 247673152 270892510 276068800 301950250 309197056 309591440 315507200 345086000 379249514 386496320 386989300 394384000 433428016 441710080 483120400 483736625 492352000 495346304 541785020 552137600 603900500 618394112 619182880 677231275 690172000 758499028 772992640 773978600 788768000 866856032 948123785 966240800 967473250 990692608 1083570040 1104275200 1207801000 1238365760 1354462550 1380344000 1516998056 1545985280 1547957200 1577536000 1733712064 1896247570 1932481600 1934946500 1981385216 2167140080 2208550400 2415602000 2476731520 2708925100 2760688000 3033996112 3091970560 3095914400 3386156375 3467424128 3792495140 3864963200 3869893000 4334280160 4740618925 4831204000 4953463040 5417850200 5521376000 6067992224 6191828800 6772312750 6934848256 7584990280 7729926400 7739786000 8668560320 9481237850 9662408000 9906926080 10835700400 11042752000 12135984448 12383657600 13544625500 13869696512 15169980560 15459852800 15479572000 17337120640 18962475700 19324816000 21671400800 23703094625 24271968896 24767315200 27089251000 30339961120 30959144000 34674241280 37924951400 38649632000 43342801600 47406189250 48543937792 49534630400 54178502000 60679922240 61918288000 69348482560 75849902800 77299264000 86685603200 94812378500 97087875584 108357004000 121359844480 123836576000 151699805600 173371206400 189624757000 216714008000 242719688960 247673152000 303399611200 346742412800 379249514000 433428016000 485439377920 606799222400 758499028000 866856032000 1213598444800 1516998056000 1733712064000 2427196889600 3033996112000 6067992224000 12135984448000
• Sum of all divisors σ(n): 35428200865200
• Sum of proper divisors (its aliquot sum) s(n): 23292216417200
• 12135984448000 is an abundant number, because the sum of its proper divisors (23292216417200) is greater than itself. Its abundance is 11156231969200

Bases of 12135984448000

• Binary: 10110000100110100001000010101100001000000000₂
• Hexadecimal: 0xB09A10AC200
• Base-36: 4AV6ZSQV4

Squares and roots of 12135984448000

• 12135984448000 squared (12135984448000²) is 147282118522097864704000000
• 12135984448000 cubed (12135984448000³) is 1787413499852672430381752123392000000000
• The square root of 12135984448000 is 3483673.9870429897
• The cube root of 12135984448000 is 22980.4398589443

Scales and comparisons

• 12,135,984,448,000 seconds is equal to 385,886 years, 39 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 12,135,984,448,000 would take you about nine hundred sixty-four thousand, seven hundred sixteen 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 12135984448000 cubic inches would be around 1915 feet tall.

Recreational maths with 12135984448000

• 12135984448000 backwards is 00084448953121
• 12135984448000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12135984448000's digits is 49
• More coming soon!