23382193968000
23,382,193,968,000 is an even composite number composed of five prime numbers multiplied together.
23382193968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 23382193968000:
27 × 33 × 53 × 72 × 10512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 1051 × 1051)See below for interesting mathematical facts about the number 23382193968000 from the Numbermatics database.
Names of 23382193968000
- Cardinal: 23382193968000 can be written as Twenty-three trillion, three hundred eighty-two billion, one hundred ninety-three million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.3382193968 × 1013
Factors of 23382193968000
Divisors of 23382193968000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 320 336 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 525 540 560 576 588 600 630 640 672 675 700 720 735 750 756 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1050 1051 1080 1120 1125 1152 1176 1200 1225 1260 1323 1344 1350 1400 1440 1470 1500 1512 1568 1575 1600 1680 1728 1750 1764 1800 1890 1920 1960 2000 2016 2100 2102 2160 2205 2240 2250 2352 2400 2450 2520 2625 2646 2688 2700 2800 2880 2940 3000 3024 3136 3150 3153 3200 3360 3375 3456 3500 3528 3600 3675 3780 3920 4000 4032 4200 4204 4320 4410 4480 4500 4704 4725 4800 4900 5040 5250 5255 5292 5400 5600 5760 5880 6000 6048 6125 6272 6300 6306 6615 6720 6750 7000 7056 7200 7350 7357 7560 7840 7875 8000 8064 8400 8408 8640 8820 9000 9408 9450 9459 9600 9800 10080 10500 10510 10584 10800 11025 11200 11760 12000 12096 12250 12600 12612 13230 13440 13500 14000 14112 14400 14700 14714 15120 15680 15750 15765 16000 16800 16816 17280 17640 18000 18375 18816 18900 18918 19600 20160 21000 21020 21168 21600 22050 22071 22400 23520 23625 24000 24192 24500 25200 25224 26275 26460 27000 28000 28224 28377 28800 29400 29428 30240 31360 31500 31530 33075 33600 33632 35280 36000 36750 36785 37800 37836 39200 40320 42000 42040 42336 43200 44100 44142 47040 47250 47295 48000 49000 50400 50448 51499 52550 52920 54000 55125 56000 56448 56754 58800 58856 60480 63000 63060 66150 66213 67200 67264 70560 72000 73500 73570 75600 75672 78400 78825 84000 84080 84672 86400 88200 88284 94080 94500 94590 98000 100800 100896 102998 105100 105840 108000 110250 110355 112000 113508 117600 117712 120960 126000 126120 131375 132300 132426 134528 141120 141885 144000 147000 147140 151200 151344 154497 156800 157650 165375 168000 168160 169344 176400 176568 183925 189000 189180 196000 198639 201600 201792 205996 210200 211680 216000 220500 220710 227016 235200 235424 236475 252000 252240 257495 262750 264600 264852 282240 283770 294000 294280 302400 302688 308994 315300 330750 331065 336000 336320 352800 353136 367850 378000 378360 392000 394125 397278 403584 411992 420400 423360 432000 441000 441420 454032 463491 470400 470848 472950 504000 504480 514990 525500 529200 529704 551775 567540 588000 588560 604800 605376 617988 630600 661500 662130 672640 705600 706272 709425 735700 756000 756720 772485 784000 788250 794556 823984 840800 846720 882000 882840 908064 919625 926982 941696 945900 993195 1008000 1008960 1029980 1051000 1058400 1059408 1103550 1104601 1135080 1176000 1177120 1182375 1210752 1235976 1261200 1287475 1323000 1324260 1390473 1411200 1412544 1418850 1471400 1512000 1513440 1544970 1576500 1589112 1647968 1655325 1681600 1764000 1765680 1816128 1839250 1853964 1891800 1986390 2017920 2059960 2102000 2116800 2118816 2207100 2209202 2270160 2317455 2352000 2354240 2364750 2471952 2522400 2574950 2646000 2648520 2758875 2780946 2825088 2837700 2942800 3024000 3026880 3089940 3153000 3178224 3295936 3310650 3313803 3363200 3528000 3531360 3547125 3632256 3678500 3707928 3783600 3862425 3972780 4119920 4204000 4233600 4237632 4414200 4418404 4540320 4634910 4708480 4729500 4943904 4965975 5044800 5149900 5292000 5297040 5517750 5523005 5561892 5675400 5885600 6053760 6179880 6306000 6356448 6437375 6591872 6621300 6627606 6952365 7056000 7062720 7094250 7357000 7415856 7567200 7724850 7732207 7945560 8239840 8276625 8408000 8475264 8828400 8836808 9080640 9269820 9459000 9887808 9931950 9941409 10089600 10299800 10584000 10594080 11035500 11046010 11123784 11350800 11587275 11771200 12359760 12612000 12712896 12874750 13242600 13255212 13904730 14125440 14188500 14714000 14831712 15134400 15449700 15464414 15891120 16479680 16553250 16569015 16816000 17656800 17673616 18161280 18539640 18918000 19312125 19775616 19863900 19882818 20599600 21168000 21188160 22071000 22092020 22247568 22701600 23174550 23196621 23542400 24719520 24829875 25224000 25425792 25749500 26485200 26510424 27615025 27809460 28377000 29428000 29663424 29824227 30268800 30899400 30928828 31782240 32959360 33106500 33138030 34761825 35313600 35347232 37079280 37836000 38624250 38661035 39727800 39765636 41199200 42376320 44142000 44184040 44495136 45403200 46349100 46393242 49439040 49659750 49707045 50448000 51499000 52970400 53020848 54125449 55230050 55618920 56754000 57936375 58856000 59326848 59648454 61798800 61857656 63564480 66213000 66276060 69523650 69589863 70627200 70694464 74158560 75672000 77248500 77322070 79455600 79531272 82398400 82845075 88284000 88368080 88990272 90806400 92698200 92786484 98878080 99319500 99414090 102998000 105940800 106041696 108250898 110460100 111237840 113508000 115872750 115983105 117712000 119296908 123597600 123715312 127128960 132426000 132552120 138075125 139047300 139179726 141388928 148317120 149121135 151344000 154497000 154644140 158911200 159062544 162376347 164796800 165690150 173809125 176568000 176736160 177980544 185396400 185572968 193305175 198639000 198828180 205996000 208769589 211881600 212083392 216501796 220920200 222475680 227016000 231745500 231966210 238593816 247195200 247430624 248535225 264852000 265104240 270627245 276150250 278094600 278359452 296634240 298242270 308994000 309288280 317822400 318125088 324752694 331380300 347618250 347949315 353136000 353472320 370792800 371145936 386610350 397278000 397656360 411992000 414225375 417539178 424166784 433003592 441840400 444951360 454032000 463491000 463932420 477187632 487129041 494390400 494861248 497070450 529704000 530208480 541254490 552300500 556189200 556718904 579915525 596484540 617988000 618576560 635644800 636250176 649505388 662760600 695236500 695898630 706944640 741585600 742291872 745605675 773220700 794556000 795312720 811881735 823984000 828450750 835078356 866007184 883680800 889902720 926982000 927864840 954375264 966525875 974258082 989722496 994140900 1043847945 1059408000 1060416960 1082508980 1104601000 1112378400 1113437808 1159831050 1192969080 1235976000 1237153120 1242676125 1272500352 1299010776 1325521200 1353136225 1390473000 1391797260 1461387123 1483171200 1484583744 1491211350 1546441400 1589112000 1590625440 1623763470 1656901500 1670156712 1732014368 1739746575 1767361600 1853964000 1855729680 1908750528 1933051750 1948516164 1988281800 2087695890 2120833920 2165017960 2209202000 2224756800 2226875616 2319662100 2385938160 2435645205 2471952000 2474306240 2485352250 2598021552 2651042400 2706272450 2780946000 2783594520 2899577625 2922774246 2969167488 2982422700 3092882800 3178224000 3181250880 3247526940 3313803000 3340313424 3464028736 3479493150 3534723200 3707928000 3711459360 3728028375 3817501056 3866103500 3897032328 3976563600 4059408675 4175391780 4330035920 4418404000 4449513600 4453751232 4639324200 4771876320 4871290410 4948612480 4970704500 5196043104 5219239725 5302084800 5412544900 5561892000 5567189040 5799155250 5845548492 5964845400 6185765600 6362501760 6495053880 6627606000 6680626848 6765681125 6928057472 6958986300 7306935615 7415856000 7422918720 7456056750 7732207000 7794064656 7953127200 8118817350 8350783560 8660071840 8698732875 8836808000 8907502464 9278648400 9543752640 9742580820 9941409000 10392086208 10438479450 10604169600 10825089800 11123784000 11134378080 11598310500 11691096984 11929690800 12178226025 12371531200 12990107760 13255212000 13361253696 13531362250 13917972600 14613871230 14845837440 14912113500 15464414000 15588129312 15906254400 16237634700 16701567120 17320143680 17397465750 17673616000 18557296800 19087505280 19485161640 19882818000 20297043375 20784172416 20876958900 21650179600 22247568000 22268756160 23196621000 23382193968 23859381600 24356452050 24743062400 25980215520 26096198625 26510424000 26722507392 27062724500 27835945200 29227742460 29824227000 30928828000 31176258624 31812508800 32475269400 33403134240 34640287360 34794931500 36534678075 37114593600 38970323280 39765636000 40594086750 41753917800 43300359200 44537512320 46393242000 46764387936 47718763200 48712904100 51960431040 52192397250 53020848000 54125449000 55671890400 58455484920 59648454000 60891130125 61857656000 62352517248 64950538800 66806268480 69589863000 73069356150 74229187200 77940646560 79531272000 81188173500 83507835600 86600718400 92786484000 93528775872 95437526400 97425808200 103920862080 104384794500 108250898000 111343780800 116910969840 119296908000 121782260250 123715312000 129901077600 133612536960 139179726000 146138712300 155881293120 159062544000 162376347000 167015671200 173201436800 182673390375 185572968000 187057551744 194851616400 208769589000 216501796000 222687561600 233821939680 238593816000 243564520500 259802155200 278359452000 292277424600 311762586240 324752694000 334031342400 365346780750 371145936000 389703232800 417539178000 433003592000 467643879360 477187632000 487129041000 519604310400 556718904000 584554849200 649505388000 668062684800 730693561500 779406465600 835078356000 866007184000 935287758720 974258082000 1113437808000 1169109698400 1299010776000 1461387123000 1558812931200 1670156712000 1948516164000 2338219396800 2598021552000 2922774246000 3340313424000 3897032328000 4676438793600 5845548492000 7794064656000 11691096984000 23382193968000
- Sum of all divisors σ(n): 100280958055200
- Sum of proper divisors (its aliquot sum) s(n): 76898764087200
- 23382193968000 is an abundant number, because the sum of its proper divisors (76898764087200) is greater than itself. Its abundance is 53516570119200
Bases of 23382193968000
- Binary: 1010101000100000101110101110110010011100000002
- Hexadecimal: 0x1544175D9380
- Base-36: 8ADMQKTC0
Squares and roots of 23382193968000
- 23382193968000 squared (233821939680002) is 546726994757175585024000000
- 23382193968000 cubed (233821939680003) is 12783676638953998588865043935232000000000
-
The
square root of 23382193968000 is 4835513.8266786085 -
The
cube root of 23382193968000 is 28595.3282538261
Scales and comparisons
How big is 23382193968000?- 23,382,193,968,000 seconds is equal to 743,481 years, 23 weeks.
-
To count from 1 to 23,382,193,968,000 would take you about one million, eight hundred fifty-eight thousand, seven hundred 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 23382193968000 cubic inches would be around 2382.9 feet tall.
Recreational maths with 23382193968000
- 23382193968000 backwards is 00086939128332
- 23382193968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 23382193968000's digits is 54
- More coming soon!
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The information we have on file for 23382193968000 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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