13788633248000
13,788,633,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13788633248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13788633248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13788633248000:
28 × 53 × 13 × 29 × 41 × 61 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 41 × 61 × 457)See below for interesting mathematical facts about the number 13788633248000 from the Numbermatics database.
Names of 13788633248000
- Cardinal: 13788633248000 can be written as Thirteen trillion, seven hundred eighty-eight billion, six hundred thirty-three million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3788633248 × 1013
Factors of 13788633248000
Divisors of 13788633248000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 41 50 52 58 61 64 65 80 82 100 104 116 122 125 128 130 145 160 164 200 205 208 232 244 250 256 260 290 305 320 325 328 377 400 410 416 457 464 488 500 520 533 580 610 640 650 656 725 754 793 800 820 832 914 928 976 1000 1025 1040 1066 1160 1189 1220 1280 1300 1312 1450 1508 1525 1586 1600 1625 1640 1664 1769 1828 1856 1885 1952 2000 2050 2080 2132 2285 2320 2378 2440 2501 2600 2624 2665 2900 3016 3050 3172 3200 3250 3280 3328 3538 3625 3656 3712 3770 3904 3965 4000 4100 4160 4264 4570 4640 4756 4880 5002 5125 5200 5248 5330 5800 5941 5945 6032 6100 6344 6400 6500 6560 7076 7250 7312 7424 7540 7625 7808 7930 8000 8200 8320 8528 8845 9140 9280 9425 9512 9760 10004 10250 10400 10496 10660 11425 11600 11882 11890 12064 12200 12505 12688 13000 13120 13253 13325 14152 14500 14624 15080 15250 15457 15616 15860 16000 16400 16640 17056 17690 18280 18560 18737 18850 19024 19520 19825 20008 20500 20800 21320 22850 22997 23200 23764 23780 24128 24400 25010 25376 26000 26240 26506 26650 27877 28304 29000 29248 29705 29725 30160 30500 30914 31720 32000 32513 32800 34112 35380 36560 37120 37474 37700 38048 39040 39650 40016 41000 41600 42640 44225 45700 45994 46400 47125 47528 47560 48256 48800 50020 50752 52000 52480 53012 53300 55754 56608 57125 58000 58496 59410 59450 60320 61000 61828 62525 63440 65026 65600 66265 66625 68224 70760 72529 73120 74948 75400 76096 77285 78080 79300 80032 82000 83200 85280 88450 91400 91988 92800 93685 94250 95056 95120 96512 97600 99125 100040 101504 104000 106024 106600 111508 113216 114250 114985 116000 116992 118820 118900 120640 122000 123656 125050 126880 130052 131200 132530 133250 136448 139385 141520 145058 146240 148525 148625 149896 150800 152192 154570 158600 160064 162565 164000 170560 172289 176900 182800 183976 185600 187370 188500 190112 190240 195200 198250 200080 203008 208000 212048 213200 221125 223016 226432 228500 229970 232000 237640 237800 241280 243581 244000 247312 250100 253760 260104 262400 265060 266500 278770 283040 290116 292480 297050 297250 299792 301600 304384 309140 312625 317200 320128 325130 328000 331325 341120 344578 353800 362401 362645 365600 367952 374740 377000 380224 380480 386425 390400 396500 400160 416000 424096 426400 442250 446032 452864 457000 459940 464000 468425 475280 475600 482560 487162 488000 494624 500200 507520 520208 530120 533000 543373 557540 566080 574925 580232 584960 594100 594500 599584 603200 618280 625250 634400 640256 650260 656000 662650 682240 689156 696925 707600 724802 725290 731200 735904 742625 749480 754000 760448 760960 772850 793000 800320 808433 812825 848192 852800 861445 884500 892064 914000 919880 928000 936850 942877 950560 951200 974324 976000 989248 1000400 1015040 1040416 1060240 1066000 1086746 1115080 1132160 1142957 1149850 1160464 1188200 1189000 1199168 1206400 1217905 1236560 1250500 1268800 1300520 1312000 1325300 1378312 1393850 1415200 1449604 1450580 1462400 1471808 1485250 1498960 1508000 1520896 1521920 1545700 1586000 1600640 1616866 1625650 1656625 1696384 1705600 1722890 1769000 1784128 1812005 1813225 1828000 1839760 1873700 1885754 1901120 1902400 1932125 1948648 1952000 1978496 2000800 2080832 2120480 2132000 2173492 2230160 2264320 2285914 2299700 2320928 2342125 2376400 2378000 2398336 2412800 2435810 2473120 2501000 2537600 2601040 2650600 2716865 2756624 2787700 2830400 2874625 2899208 2901160 2924800 2943616 2970500 2997920 3016000 3091400 3172000 3201280 3233732 3251300 3313250 3392768 3411200 3445780 3484625 3538000 3568256 3624010 3626450 3656000 3679520 3747400 3771508 3802240 3804800 3864250 3897296 3956992 4001600 4042165 4064125 4161664 4240960 4264000 4307225 4346984 4460320 4571828 4599400 4641856 4684250 4714385 4752800 4756000 4796672 4871620 4946240 5002000 5075200 5202080 5301200 5433730 5513248 5575400 5660800 5714785 5749250 5798416 5802320 5887232 5941000 5995840 6032000 6089525 6182800 6344000 6467464 6502600 6626500 6891560 6969250 7063849 7076000 7136512 7248020 7252900 7312000 7359040 7494800 7543016 7604480 7609600 7728500 7794592 8003200 8084330 8128250 8323328 8481920 8528000 8614450 8693968 8920640 9060025 9066125 9143656 9198800 9283712 9368500 9428770 9505600 9512000 9743240 9892480 10004000 10404160 10509629 10602400 10867460 11026496 11150800 11321600 11429570 11498500 11596832 11604640 11882000 11991680 12064000 12179050 12365600 12688000 12934928 13005200 13253000 13584325 13783120 13938500 14127698 14152000 14496040 14505800 14624000 14718080 14858441 14989600 15086032 15457000 15589184 16006400 16168660 16256500 16963840 17056000 17228900 17387936 17841280 18120050 18132250 18287312 18397600 18567424 18737000 18857540 19011200 19024000 19486480 19784960 20008000 20210825 20808320 21019258 21204800 21536125 21734920 22052992 22301600 22859140 22997000 23193664 23209280 23571925 23764000 23983360 24358100 24731200 25376000 25869856 26010400 26506000 27168650 27566240 27877000 28255396 28304000 28573925 28992080 29011600 29436160 29716882 29979200 30172064 30447625 30914000 31178368 32337320 32513000 33145753 34457800 34775872 35319245 35682560 36240100 36264500 36574624 36795200 37474000 37715080 38022400 38048000 38972960 40016000 40421650 41616640 42038516 42409600 43072250 43469840 44105984 44603200 45300125 45718280 45994000 46387328 46418560 47143850 47528000 48716200 49462400 51739712 52020800 52548145 53012000 54337300 55132480 55754000 56510792 56608000 57147850 57984160 58023200 59433764 59958400 60344128 60895250 61828000 62356736 64674640 65026000 66291506 67921625 68915600 69551744 70638490 72480200 72529000 73149248 73590400 74292205 74948000 75430160 77945920 80032000 80843300 84077032 84819200 86144500 86939680 89206400 90600250 91436560 91988000 92774656 92837120 94287700 95056000 97432400 98924800 101054125 103479424 104041600 105096290 106024000 108674600 110264960 111508000 113021584 114295700 115968320 116046400 117859625 118867528 119916800 120688256 121790500 123656000 129349280 130052000 132583012 135843250 137831200 139103488 141276980 142869625 144960400 145058000 146298496 147180800 148584410 149896000 150860320 155891840 161686600 165728765 168154064 172289000 173879360 176596225 178412800 181200500 182873120 183976000 188575400 190112000 194864800 202108250 206958848 208083200 210192580 212048000 217349200 220529920 223016000 226043168 228591400 231936640 232092800 235719250 237735056 241376512 243581000 247312000 258698560 260104000 262740725 265166024 271686500 275662400 282553960 285739250 289920800 290116000 292596992 297168820 299792000 301720640 311783680 323373200 331457530 336308128 344578000 347758720 353192450 362401000 365746240 367952000 371461025 377150800 389729600 404216500 420385160 424096000 430894789 434698400 446032000 452086336 457182800 463873280 464185600 471438500 475470112 487162000 494624000 517397120 520208000 525481450 530332048 543373000 551324800 565107920 571478500 579841600 580232000 594337640 599584000 603441280 646746400 662915060 672616256 689156000 695517440 706384900 724802000 731492480 735904000 742922050 754301600 779459200 808433000 828643825 840770320 861789578 869396800 882981125 892064000 904172672 914365600 942877000 950940224 974324000 1034794240 1040416000 1050962900 1060664096 1086746000 1102649600 1130215840 1142957000 1159683200 1160464000 1188675280 1206882560 1293492800 1313703625 1325830120 1345232512 1378312000 1412769800 1449604000 1462984960 1485844100 1508603200 1558918400 1616866000 1657287650 1681540640 1723579156 1738793600 1765962250 1808345344 1828731200 1857305125 1885754000 1901880448 1948648000 2101925800 2121328192 2154473945 2173492000 2260431680 2285914000 2319366400 2320928000 2377350560 2586985600 2627407250 2651660240 2690465024 2756624000 2825539600 2899208000 2971688200 3017206400 3233732000 3314575300 3363081280 3447158312 3477587200 3531924500 3657462400 3714610250 3771508000 3803760896 3897296000 4143219125 4203851600 4242656384 4308947890 4346984000 4520863360 4571828000 4754701120 5173971200 5254814500 5303320480 5513248000 5651079200 5798416000 5943376400 6034412800 6467464000 6629150600 6726162560 6894316624 7063849000 7314924800 7429220500 7543016000 7794592000 8286438250 8407703200 8485312768 8617895780 8693968000 9041726720 9143656000 9509402240 10509629000 10606640960 10772369725 11302158400 11596832000 11886752800 12934928000 13258301200 13452325120 13788633248 14127698000 14858441000 15086032000 16572876500 16815406400 17235791560 17387936000 18287312000 19018804480 21019258000 21213281920 21544739450 22604316800 23773505600 25869856000 26516602400 27577266496 28255396000 29716882000 30172064000 33145753000 33630812800 34471583120 36574624000 42038516000 42426563840 43089478900 45208633600 47547011200 53033204800 53861848625 55154532992 56510792000 59433764000 66291506000 67261625600 68943166240 84077032000 86178957800 95094022400 106066409600 107723697250 110309065984 113021584000 118867528000 132583012000 137886332480 168154064000 172357915600 212132819200 215447394500 226043168000 237735056000 265166024000 275772664960 336308128000 344715831200 430894789000 475470112000 530332048000 551545329920 689431662400 861789578000 1060664096000 1378863324800 1723579156000 2757726649600 3447158312000 6894316624000 13788633248000
- Sum of all divisors σ(n): 39930178055040
- Sum of proper divisors (its aliquot sum) s(n): 26141544807040
- 13788633248000 is an abundant number, because the sum of its proper divisors (26141544807040) is greater than itself. Its abundance is 12352911559040
Bases of 13788633248000
- Binary: 110010001010011010101001011000110001000000002
- Hexadecimal: 0xC8A6A963100
- Base-36: 4VYES8268
Squares and roots of 13788633248000
- 13788633248000 squared (137886332480002) is 190126406847851029504000000
- 13788633248000 cubed (137886332480003) is 2621583294785053582769883348992000000000
-
The
square root of 13788633248000 is 3713304.8956421555 -
The
cube root of 13788633248000 is 23979.5156509139
Scales and comparisons
How big is 13788633248000?- 13,788,633,248,000 seconds is equal to 438,435 years, 46 weeks, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 13,788,633,248,000 would take you about one million, ninety-six thousand and eighty-nine 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 13788633248000 cubic inches would be around 1998.3 feet tall.
Recreational maths with 13788633248000
- 13788633248000 backwards is 00084233688731
- The number of decimal digits it has is: 14
- The sum of 13788633248000's digits is 53
- More coming soon!
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The information we have on file for 13788633248000 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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