20971388928000
20,971,388,928,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 20971388928000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
20971388928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 20971388928000:
220 × 3 × 53 × 7 × 19 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 401)See below for interesting mathematical facts about the number 20971388928000 from the Numbermatics database.
Names of 20971388928000
- Cardinal: 20971388928000 can be written as Twenty trillion, nine hundred seventy-one billion, three hundred eighty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.0971388928 × 1013
Factors of 20971388928000
Divisors of 20971388928000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 125 128 133 140 150 152 160 168 175 190 192 200 210 224 228 240 250 256 266 280 285 300 304 320 336 350 375 380 384 399 400 401 420 448 456 475 480 500 512 525 532 560 570 600 608 640 665 672 700 750 760 768 798 800 802 840 875 896 912 950 960 1000 1024 1050 1064 1120 1140 1200 1203 1216 1280 1330 1344 1400 1425 1500 1520 1536 1596 1600 1604 1680 1750 1792 1824 1900 1920 1995 2000 2005 2048 2100 2128 2240 2280 2375 2400 2406 2432 2560 2625 2660 2688 2800 2807 2850 3000 3040 3072 3192 3200 3208 3325 3360 3500 3584 3648 3800 3840 3990 4000 4010 4096 4200 4256 4480 4560 4750 4800 4812 4864 5120 5250 5320 5376 5600 5614 5700 6000 6015 6080 6144 6384 6400 6416 6650 6720 7000 7125 7168 7296 7600 7619 7680 7980 8000 8020 8192 8400 8421 8512 8960 9120 9500 9600 9624 9728 9975 10025 10240 10500 10640 10752 11200 11228 11400 12000 12030 12160 12288 12768 12800 12832 13300 13440 14000 14035 14250 14336 14592 15200 15238 15360 15960 16000 16040 16384 16625 16800 16842 17024 17920 18240 19000 19200 19248 19456 19950 20050 20480 21000 21280 21504 22400 22456 22800 22857 24000 24060 24320 24576 25536 25600 25664 26600 26880 28000 28070 28500 28672 29184 30075 30400 30476 30720 31920 32000 32080 32768 33250 33600 33684 34048 35840 36480 38000 38095 38400 38496 38912 39900 40100 40960 42000 42105 42560 43008 44800 44912 45600 45714 48000 48120 48640 49152 49875 50125 51072 51200 51328 53200 53333 53760 56000 56140 57000 57344 58368 60150 60800 60952 61440 63840 64000 64160 65536 66500 67200 67368 68096 70175 71680 72960 76000 76190 76800 76992 77824 79800 80200 81920 84000 84210 85120 86016 89600 89824 91200 91428 96000 96240 97280 98304 99750 100250 102144 102400 102656 106400 106666 107520 112000 112280 114000 114285 114688 116736 120300 121600 121904 122880 127680 128000 128320 131072 133000 134400 134736 136192 140350 143360 145920 150375 152000 152380 153600 153984 155648 159600 159999 160400 163840 168000 168420 170240 172032 179200 179648 182400 182856 190475 192000 192480 194560 196608 199500 200500 204288 204800 205312 210525 212800 213332 215040 224000 224560 228000 228570 229376 233472 240600 243200 243808 245760 255360 256000 256640 262144 266000 266665 268800 269472 272384 280700 286720 291840 300750 304000 304760 307200 307968 311296 319200 319998 320800 327680 336000 336840 340480 344064 350875 358400 359296 364800 365712 380950 384000 384960 389120 393216 399000 401000 408576 409600 410624 421050 425600 426664 430080 448000 449120 456000 457140 458752 466944 481200 486400 487616 491520 510720 512000 513280 524288 532000 533330 537600 538944 544768 561400 571425 573440 583680 601500 608000 609520 614400 615936 622592 638400 639996 641600 655360 672000 673680 680960 688128 701750 716800 718592 729600 731424 761900 768000 769920 778240 786432 798000 799995 802000 817152 819200 821248 842100 851200 853328 860160 896000 898240 912000 914280 917504 933888 952375 962400 972800 975232 983040 1021440 1024000 1026560 1048576 1052625 1064000 1066660 1075200 1077888 1089536 1122800 1142850 1146880 1167360 1203000 1216000 1219040 1228800 1231872 1245184 1276800 1279992 1283200 1310720 1333325 1344000 1347360 1361920 1376256 1403500 1433600 1437184 1459200 1462848 1523800 1536000 1539840 1556480 1572864 1596000 1599990 1604000 1634304 1638400 1642496 1684200 1702400 1706656 1720320 1792000 1796480 1824000 1828560 1835008 1867776 1904750 1924800 1945600 1950464 1966080 2042880 2048000 2053120 2105250 2128000 2133320 2150400 2155776 2179072 2245600 2285700 2293760 2334720 2406000 2432000 2438080 2457600 2463744 2490368 2553600 2559984 2566400 2621440 2666650 2688000 2694720 2723840 2752512 2807000 2857125 2867200 2874368 2918400 2925696 3047600 3072000 3079680 3112960 3145728 3192000 3199980 3208000 3268608 3276800 3284992 3368400 3404800 3413312 3440640 3584000 3592960 3648000 3657120 3670016 3735552 3809500 3849600 3891200 3900928 3932160 3999975 4085760 4096000 4106240 4210500 4256000 4266640 4300800 4311552 4358144 4491200 4571400 4587520 4669440 4812000 4864000 4876160 4915200 4927488 4980736 5107200 5119968 5132800 5242880 5333300 5376000 5389440 5447680 5505024 5614000 5714250 5734400 5748736 5836800 5851392 6095200 6144000 6159360 6225920 6384000 6399960 6416000 6537216 6553600 6569984 6666625 6736800 6809600 6826624 6881280 7168000 7185920 7296000 7314240 7340032 7471104 7619000 7699200 7782400 7801856 7864320 7999950 8171520 8192000 8212480 8421000 8512000 8533280 8601600 8623104 8716288 8982400 9142800 9175040 9338880 9624000 9728000 9752320 9830400 9854976 9961472 10214400 10239936 10265600 10666600 10752000 10778880 10895360 11010048 11228000 11428500 11468800 11497472 11673600 11702784 12190400 12288000 12318720 12451840 12768000 12799920 12832000 13074432 13107200 13139968 13333250 13473600 13619200 13653248 13762560 14336000 14371840 14592000 14628480 14942208 15238000 15398400 15564800 15603712 15728640 15999900 16343040 16384000 16424960 16842000 17024000 17066560 17203200 17246208 17432576 17964800 18285600 18350080 18677760 19248000 19456000 19504640 19660800 19709952 19922944 19999875 20428800 20479872 20531200 21333200 21504000 21557760 21790720 22020096 22456000 22857000 22937600 22994944 23347200 23405568 24380800 24576000 24637440 24903680 25536000 25599840 25664000 26148864 26214400 26279936 26666500 26947200 27238400 27306496 27525120 28672000 28743680 29184000 29256960 29884416 30476000 30796800 31129600 31207424 31999800 32686080 32768000 32849920 33684000 34048000 34133120 34406400 34492416 34865152 35929600 36571200 36700160 37355520 38496000 38912000 39009280 39321600 39419904 39999750 40857600 40959744 41062400 42666400 43008000 43115520 43581440 44912000 45714000 45875200 45989888 46694400 46811136 48761600 49152000 49274880 49807360 51072000 51199680 51328000 52297728 52559872 53333000 53894400 54476800 54612992 55050240 57344000 57487360 58368000 58513920 59768832 60952000 61593600 62259200 62414848 63999600 65372160 65536000 65699840 67368000 68096000 68266240 68812800 68984832 69730304 71859200 73142400 74711040 76992000 77824000 78018560 78643200 78839808 79999500 81715200 81919488 82124800 85332800 86016000 86231040 87162880 89824000 91428000 91750400 91979776 93388800 93622272 97523200 98304000 98549760 99614720 102144000 102399360 102656000 104595456 105119744 106666000 107788800 108953600 109225984 110100480 114688000 114974720 116736000 117027840 121904000 123187200 124518400 124829696 127999200 130744320 131072000 131399680 134736000 136192000 136532480 137625600 137969664 139460608 143718400 146284800 149422080 153984000 155648000 156037120 157679616 159999000 163430400 163838976 164249600 170665600 172032000 172462080 174325760 179648000 182856000 183500800 183959552 186777600 187244544 195046400 196608000 197099520 204288000 204798720 205312000 209190912 210239488 213332000 215577600 217907200 218451968 229376000 229949440 233472000 234055680 243808000 246374400 249036800 249659392 255998400 261488640 262799360 269472000 272384000 273064960 275251200 275939328 287436800 292569600 298844160 307968000 311296000 312074240 315359232 319998000 326860800 327677952 328499200 341331200 344064000 344924160 348651520 359296000 365712000 367919104 373555200 374489088 390092800 393216000 394199040 408576000 409597440 410624000 418381824 420478976 426664000 431155200 435814400 436903936 458752000 459898880 466944000 468111360 487616000 492748800 498073600 499318784 511996800 522977280 525598720 538944000 544768000 546129920 550502400 551878656 574873600 585139200 615936000 622592000 624148480 630718464 639996000 653721600 655355904 656998400 682662400 688128000 689848320 697303040 718592000 731424000 735838208 747110400 748978176 780185600 788398080 817152000 819194880 821248000 853328000 862310400 871628800 873807872 917504000 919797760 933888000 936222720 975232000 985497600 998637568 1023993600 1045954560 1051197440 1077888000 1089536000 1092259840 1103757312 1149747200 1170278400 1231872000 1245184000 1248296960 1261436928 1279992000 1307443200 1310711808 1313996800 1365324800 1376256000 1379696640 1437184000 1462848000 1471676416 1494220800 1497956352 1560371200 1576796160 1634304000 1638389760 1642496000 1706656000 1724620800 1743257600 1747615744 1839595520 1867776000 1872445440 1950464000 1970995200 1997275136 2047987200 2091909120 2102394880 2155776000 2179072000 2184519680 2207514624 2299494400 2340556800 2463744000 2490368000 2496593920 2559984000 2614886400 2621423616 2627993600 2730649600 2752512000 2759393280 2874368000 2925696000 2943352832 2995912704 3120742400 3153592320 3268608000 3276779520 3284992000 3413312000 3449241600 3486515200 3495231488 3679191040 3735552000 3744890880 3900928000 3941990400 3994550272 4095974400 4311552000 4358144000 4369039360 4415029248 4598988800 4681113600 4927488000 4993187840 5119968000 5229772800 5242847232 5255987200 5461299200 5518786560 5748736000 5851392000 5991825408 6241484800 6307184640 6537216000 6553559040 6569984000 6826624000 6898483200 6990462976 7358382080 7471104000 7489781760 7801856000 7883980800 7989100544 8191948800 8623104000 8716288000 8738078720 8830058496 9197977600 9362227200 9854976000 9986375680 10239936000 10459545600 10485694464 10511974400 10922598400 11037573120 11497472000 11702784000 11983650816 12482969600 13074432000 13107118080 13139968000 13653248000 13796966400 13980925952 14716764160 14979563520 15603712000 15767961600 16383897600 17246208000 17432576000 17476157440 18395955200 18724454400 19709952000 19972751360 20479872000 20971388928 21845196800 22075146240 22994944000 23405568000 23967301632 24965939200 26148864000 26214236160 26279936000 27306496000 27593932800 27961851904 29959127040 31207424000 31535923200 32767795200 34492416000 34952314880 36791910400 37448908800 39419904000 39945502720 40959744000 41942777856 43690393600 44150292480 45989888000 46811136000 49931878400 52297728000 52428472320 52559872000 54612992000 55187865600 55923703808 59918254080 62414848000 65535590400 68984832000 69904629760 73583820800 74897817600 78839808000 81919488000 83885555712 87380787200 91979776000 93622272000 99863756800 104856944640 109225984000 110375731200 119836508160 124829696000 131071180800 137969664000 139809259520 149795635200 157679616000 163838976000 167771111424 174761574400 183959552000 187244544000 199727513600 209713889280 218451968000 220751462400 249659392000 262142361600 275939328000 279618519040 299591270400 327677952000 349523148800 367919104000 374489088000 419427778560 436903936000 499318784000 524284723200 551878656000 599182540800 655355904000 699046297600 748978176000 838855557120 873807872000 998637568000 1048569446400 1103757312000 1310711808000 1398092595200 1497956352000 1747615744000 2097138892800 2621423616000 2995912704000 3495231488000 4194277785600 5242847232000 6990462976000 10485694464000 20971388928000
- Sum of all divisors σ(n): 84170581447680
- Sum of proper divisors (its aliquot sum) s(n): 63199192519680
- 20971388928000 is an abundant number, because the sum of its proper divisors (63199192519680) is greater than itself. Its abundance is 42227803591680
Bases of 20971388928000
- Binary: 1001100010010110010000011000000000000000000002
- Hexadecimal: 0x1312C8300000
- Base-36: 7FM4FI39C
Squares and roots of 20971388928000
- 20971388928000 squared (209713889280002) is 439799153569440989184000000
- 20971388928000 cubed (209713889280003) is 9223199099709946439722705354752000000000
-
The
square root of 20971388928000 is 4579452.9070621527 -
The
cube root of 20971388928000 is 27576.7065806967
Scales and comparisons
How big is 20971388928000?- 20,971,388,928,000 seconds is equal to 666,825 years, 15 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 20,971,388,928,000 would take you about one million, six hundred sixty-seven thousand and sixty-three 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 20971388928000 cubic inches would be around 2298.1 feet tall.
Recreational maths with 20971388928000
- 20971388928000 backwards is 00082988317902
- 20971388928000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20971388928000's digits is 57
- More coming soon!
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The information we have on file for 20971388928000 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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