21367134332768000

Names of 21367134332768000

• Cardinal: 21367134332768000 can be written as Twenty-one quadrillion, three hundred sixty-seven trillion, one hundred thirty-four billion, three hundred thirty-two million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 2.1367134332768 × 10¹⁶

Factors of 21367134332768000

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

Divisors of 21367134332768000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 157 160 175 200 224 250 256 280 314 320 350 400 448 500 560 628 640 700 785 800 875 896 1000 1099 1120 1256 1280 1400 1570 1600 1750 1792 2000 2198 2240 2512 2800 3140 3200 3500 3925 4000 4396 4480 5024 5495 5600 6280 6400 7000 7850 8000 8792 8960 10048 10990 11200 12560 14000 15700 16000 17584 19625 20096 21980 22400 24649 25120 27475 28000 31400 32000 35168 39250 40192 43960 44800 49298 50240 54950 56000 62800 70336 78500 87920 98596 100480 109900 112000 123245 125600 137375 140672 157000 172543 175840 197192 200960 219800 224000 246490 251200 274750 281344 314000 345086 351680 394384 439600 492980 502400 549500 616225 628000 690172 703360 788768 862715 879200 985960 1004800 1099000 1232450 1256000 1380344 1406720 1577536 1725430 1758400 1971920 2198000 2464900 2512000 2760688 3081125 3155072 3450860 3516800 3869893 3943840 4313575 4396000 4929800 5024000 5521376 6162250 6310144 6901720 7033600 7739786 7887680 8627150 8792000 9859600 11042752 12324500 13803440 15479572 15775360 17254300 17584000 19349465 19719200 21567875 22085504 24649000 27089251 27606880 30959144 31550720 34508600 35168000 38698930 39438400 43135750 44171008 49298000 54178502 55213760 61918288 69017200 77397860 78876800 86271500 96747325 98596000 108357004 110427520 123836576 135446255 138034400 154795720 157753600 172543000 193494650 197192000 216714008 220855040 247673152 270892510 276068800 309591440 345086000 386989300 394384000 433428016 483736625 495346304 541785020 552137600 607573201 619182880 677231275 690172000 773978600 788768000 866856032 967473250 990692608 1083570040 1104275200 1215146402 1238365760 1354462550 1380344000 1547957200 1733712064 1934946500 2167140080 2430292804 2476731520 2708925100 2760688000 3037866005 3095914400 3386156375 3467424128 3869893000 4253012407 4334280160 4860585608 4953463040 5417850200 5521376000 6075732010 6191828800 6772312750 6934848256 7739786000 8506024814 8668560320 9721171216 10835700400 12151464020 12383657600 13544625500 15189330025 15479572000 17012049628 17337120640 19442342432 21265062035 21671400800 24302928040 24767315200 27089251000 30378660050 30959144000 34024099256 34674241280 38884684864 42530124070 43342801600 48605856080 54178502000 60757320100 61918288000 68048198512 75946650125 77769369728 85060248140 86685603200 95388992557 97211712160 106325310175 108357004000 121514640200 123836576000 136096397024 151893300250 155538739456 170120496280 173371206400 190777985114 194423424320 212650620350 216714008000 243029280400 272192794048 303786600500 340240992560 381555970228 388846848640 425301240700 433428016000 476944962785 486058560800 531626550875 544385588096 607573201000 667722947899 680481985120 763111940456 777693697280 850602481400 866856032000 953889925570 972117121600 1063253101750 1088771176192 1215146402000 1335445895798 1360963970240 1526223880912 1701204962800 1907779851140 1944234243200 2126506203500 2384724813925 2430292804000 2670891791596 2721927940480 3052447761824 3338614739495 3402409925600 3815559702280 3888468486400 4253012407000 4769449627850 4860585608000 5341783583192 5443855880960 6104895523648 6677229478990 6804819851200 7631119404560 8506024814000 9538899255700 9721171216000 10683567166384 11923624069625 12209791047296 13354458957980 13609639702400 15262238809120 16693073697475 17012049628000 19077798511400 19442342432000 21367134332768 23847248139250 24419582094592 26708917915960 27219279404800 30524477618240 33386147394950 34024099256000 38155597022800 42734268665536 47694496278500 53417835831920 61048955236480 66772294789900 68048198512000 76311194045600 83465368487375 85468537331072 95388992557000 106835671663840 122097910472960 133544589579800 136096397024000 152622388091200 166930736974750 170937074662144 190777985114000 213671343327680 267089179159600 305244776182400 333861473949500 381555970228000 427342686655360 534178358319200 610489552364800 667722947899000 763111940456000 854685373310720 1068356716638400 1335445895798000 1526223880912000 2136713433276800 2670891791596000 3052447761824000 4273426866553600 5341783583192000 10683567166384000 21367134332768000
• Sum of all divisors σ(n): 61222181646959424
• Sum of proper divisors (its aliquot sum) s(n): 39855047314191424
• 21367134332768000 is an abundant number, because the sum of its proper divisors (39855047314191424) is greater than itself. Its abundance is 18487912981423424

Bases of 21367134332768000

• Binary: 1001011111010010100101110100011110001011100111100000000₂
• Hexadecimal: 0x4BE94BA3C5CF00
• Base-36: 5UE0M02O4JK

Squares and roots of 21367134332768000

• 21367134332768000 squared (21367134332768000²) is 456554429594553004558541824000000
• 21367134332768000 cubed (21367134332768000³) is 9755259827367084145825188218949261688832000000000
• The square root of 21367134332768000 is 146175012.6826332793
• The cube root of 21367134332768000 is 277490.9093481417

Scales and comparisons

• 21,367,134,332,768,000 seconds is equal to 679,408,778 years, 46 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 21,367,134,332,768,000 would take you about two billion, thirty-eight million, two hundred twenty-six thousand, three hundred thirty-six 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 21367134332768000 cubic inches would be around 23124.2 feet tall.

Recreational maths with 21367134332768000

• 21367134332768000 backwards is 00086723343176312
• 21367134332768000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21367134332768000's digits is 56
• More coming soon!