20748315918336000
20,748,315,918,336,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 20748315918336000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 744 divisors.
20748315918336000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred forty-four divisors.
Prime factorization of 20748315918336000:
230 × 3 × 53 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 227 × 227)See below for interesting mathematical facts about the number 20748315918336000 from the Numbermatics database.
Names of 20748315918336000
- Cardinal: 20748315918336000 can be written as Twenty quadrillion, seven hundred forty-eight trillion, three hundred fifteen billion, nine hundred eighteen million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 2.0748315918336 × 1016
Factors of 20748315918336000
Divisors of 20748315918336000
- Number of divisors d(n): 744
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 227 240 250 256 300 320 375 384 400 454 480 500 512 600 640 681 750 768 800 908 960 1000 1024 1135 1200 1280 1362 1500 1536 1600 1816 1920 2000 2048 2270 2400 2560 2724 3000 3072 3200 3405 3632 3840 4000 4096 4540 4800 5120 5448 5675 6000 6144 6400 6810 7264 7680 8000 8192 9080 9600 10240 10896 11350 12000 12288 12800 13620 14528 15360 16000 16384 17025 18160 19200 20480 21792 22700 24000 24576 25600 27240 28375 29056 30720 32000 32768 34050 36320 38400 40960 43584 45400 48000 49152 51200 51529 54480 56750 58112 61440 64000 65536 68100 72640 76800 81920 85125 87168 90800 96000 98304 102400 103058 108960 113500 116224 122880 128000 131072 136200 145280 153600 154587 163840 170250 174336 181600 192000 196608 204800 206116 217920 227000 232448 245760 256000 257645 262144 272400 290560 307200 309174 327680 340500 348672 363200 384000 393216 409600 412232 435840 454000 464896 491520 512000 515290 524288 544800 581120 614400 618348 655360 681000 697344 726400 768000 772935 786432 819200 824464 871680 908000 929792 983040 1024000 1030580 1048576 1089600 1162240 1228800 1236696 1288225 1310720 1362000 1394688 1452800 1536000 1545870 1572864 1638400 1648928 1743360 1816000 1859584 1966080 2048000 2061160 2097152 2179200 2324480 2457600 2473392 2576450 2621440 2724000 2789376 2905600 3072000 3091740 3145728 3276800 3297856 3486720 3632000 3719168 3864675 3932160 4096000 4122320 4194304 4358400 4648960 4915200 4946784 5152900 5242880 5448000 5578752 5811200 6144000 6183480 6291456 6441125 6553600 6595712 6973440 7264000 7438336 7729350 7864320 8192000 8244640 8388608 8716800 9297920 9830400 9893568 10305800 10485760 10896000 11157504 11622400 12288000 12366960 12582912 12882250 13107200 13191424 13946880 14528000 14876672 15458700 15728640 16384000 16489280 16777216 17433600 18595840 19323375 19660800 19787136 20611600 20971520 21792000 22315008 23244800 24576000 24733920 25165824 25764500 26214400 26382848 27893760 29056000 29753344 30917400 31457280 32768000 32978560 33554432 34867200 37191680 38646750 39321600 39574272 41223200 41943040 43584000 44630016 46489600 49152000 49467840 50331648 51529000 52428800 52765696 55787520 58112000 59506688 61834800 62914560 65536000 65957120 67108864 69734400 74383360 77293500 78643200 79148544 82446400 83886080 87168000 89260032 92979200 98304000 98935680 100663296 103058000 104857600 105531392 111575040 116224000 119013376 123669600 125829120 131072000 131914240 134217728 139468800 148766720 154587000 157286400 158297088 164892800 167772160 174336000 178520064 185958400 196608000 197871360 201326592 206116000 209715200 211062784 223150080 232448000 238026752 247339200 251658240 262144000 263828480 268435456 278937600 297533440 309174000 314572800 316594176 329785600 335544320 348672000 357040128 371916800 393216000 395742720 402653184 412232000 419430400 422125568 446300160 464896000 476053504 494678400 503316480 524288000 527656960 536870912 557875200 595066880 618348000 629145600 633188352 659571200 671088640 697344000 714080256 743833600 786432000 791485440 805306368 824464000 838860800 844251136 892600320 929792000 952107008 989356800 1006632960 1048576000 1055313920 1073741824 1115750400 1190133760 1236696000 1258291200 1266376704 1319142400 1342177280 1394688000 1428160512 1487667200 1572864000 1582970880 1610612736 1648928000 1677721600 1688502272 1785200640 1859584000 1904214016 1978713600 2013265920 2097152000 2110627840 2231500800 2380267520 2473392000 2516582400 2532753408 2638284800 2684354560 2789376000 2856321024 2975334400 3145728000 3165941760 3221225472 3297856000 3355443200 3377004544 3570401280 3719168000 3808428032 3957427200 4026531840 4194304000 4221255680 4463001600 4760535040 4946784000 5033164800 5065506816 5276569600 5368709120 5578752000 5712642048 5950668800 6291456000 6331883520 6595712000 6710886400 6754009088 7140802560 7438336000 7616856064 7914854400 8053063680 8388608000 8442511360 8926003200 9521070080 9893568000 10066329600 10131013632 10553139200 11157504000 11425284096 11901337600 12582912000 12663767040 13191424000 13421772800 13508018176 14281605120 14876672000 15233712128 15829708800 16106127360 16777216000 16885022720 17852006400 19042140160 19787136000 20132659200 20262027264 21106278400 22315008000 22850568192 23802675200 25165824000 25327534080 26382848000 26843545600 27016036352 28563210240 29753344000 30467424256 31659417600 33554432000 33770045440 35704012800 38084280320 39574272000 40265318400 40524054528 42212556800 44630016000 45701136384 47605350400 50331648000 50655068160 52765696000 54032072704 57126420480 59506688000 60934848512 63318835200 67108864000 67540090880 71408025600 76168560640 79148544000 80530636800 81048109056 84425113600 89260032000 91402272768 95210700800 100663296000 101310136320 105531392000 108064145408 114252840960 119013376000 121869697024 126637670400 134217728000 135080181760 142816051200 152337121280 158297088000 162096218112 168850227200 178520064000 182804545536 190421401600 201326592000 202620272640 211062784000 216128290816 228505681920 238026752000 243739394048 253275340800 270160363520 285632102400 304674242560 316594176000 324192436224 337700454400 357040128000 365609091072 380842803200 402653184000 405240545280 422125568000 432256581632 457011363840 476053504000 506550681600 540320727040 571264204800 609348485120 633188352000 648384872448 675400908800 714080256000 731218182144 761685606400 810481090560 844251136000 864513163264 914022727680 952107008000 1013101363200 1080641454080 1142528409600 1218696970240 1266376704000 1296769744896 1350801817600 1428160512000 1523371212800 1620962181120 1688502272000 1729026326528 1828045455360 1904214016000 2026202726400 2161282908160 2285056819200 2532753408000 2593539489792 2701603635200 2856321024000 3046742425600 3241924362240 3377004544000 3458052653056 3656090910720 3808428032000 4052405452800 4322565816320 4570113638400 5065506816000 5187078979584 5403207270400 5712642048000 6093484851200 6483848724480 6754009088000 6916105306112 7616856064000 8104810905600 8645131632640 9140227276800 10131013632000 10374157959168 10806414540800 11425284096000 12967697448960 13508018176000 13832210612224 15233712128000 16209621811200 17290263265280 18280454553600 20262027264000 20748315918336 21612829081600 22850568192000 25935394897920 27016036352000 27664421224448 30467424256000 32419243622400 34580526530560 40524054528000 41496631836672 43225658163200 45701136384000 51870789795840 54032072704000 55328842448896 64838487244800 69161053061120 81048109056000 82993263673344 86451316326400 91402272768000 103741579591680 108064145408000 129676974489600 138322106122240 162096218112000 165986527346688 172902632652800 207483159183360 216128290816000 259353948979200 276644212244480 324192436224000 345805265305600 414966318366720 432256581632000 518707897958400 648384872448000 691610530611200 829932636733440 864513163264000 1037415795916800 1296769744896000 1383221061222400 1729026326528000 2074831591833600 2593539489792000 3458052653056000 4149663183667200 5187078979584000 6916105306112000 10374157959168000 20748315918336000
- Sum of all divisors σ(n): 69355922137494096
- Sum of proper divisors (its aliquot sum) s(n): 48607606219158096
- 20748315918336000 is an abundant number, because the sum of its proper divisors (48607606219158096) is greater than itself. Its abundance is 27859290300822096
Bases of 20748315918336000
- Binary: 10010011011011001111011110000000000000000000000000000002
- Hexadecimal: 0x49B67BC0000000
- Base-36: 5OANWQW4VEO
Squares and roots of 20748315918336000
- 20748315918336000 squared (207483159183360002) is 430492613447075051021008896000000
- 20748315918336000 cubed (207483159183360003) is 8931996744310013649758078246439465517056000000000
-
The
square root of 20748315918336000 is 144042757.2574754625 -
The
cube root of 20748315918336000 is 274785.7986792031
Scales and comparisons
How big is 20748315918336000?- 20,748,315,918,336,000 seconds is equal to 659,732,267 years, 23 weeks, 2 days, 2 hours, 40 minutes.
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To count from 1 to 20,748,315,918,336,000 would take you about one billion, nine hundred seventy-nine million, one hundred ninety-six thousand, eight hundred two 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 20748315918336000 cubic inches would be around 22898.8 feet tall.
Recreational maths with 20748315918336000
- 20748315918336000 backwards is 00063381951384702
- 20748315918336000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20748315918336000's digits is 60
- More coming soon!
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The information we have on file for 20748315918336000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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