13131862016000
13,131,862,016,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13131862016000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
13131862016000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13131862016000:
215 × 53 × 73 × 13 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 719)See below for interesting mathematical facts about the number 13131862016000 from the Numbermatics database.
Names of 13131862016000
- Cardinal: 13131862016000 can be written as Thirteen trillion, one hundred thirty-one billion, eight hundred sixty-two million, sixteen thousand.
Scientific notation
- Scientific notation: 1.3131862016 × 1013
Factors of 13131862016000
Divisors of 13131862016000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 175 182 196 200 208 224 245 250 256 260 280 320 325 343 350 364 392 400 416 448 455 490 500 512 520 560 637 640 650 686 700 719 728 784 800 832 875 896 910 980 1000 1024 1040 1120 1225 1274 1280 1300 1372 1400 1438 1456 1568 1600 1625 1664 1715 1750 1792 1820 1960 2000 2048 2080 2240 2275 2450 2548 2560 2600 2744 2800 2876 2912 3136 3185 3200 3250 3328 3430 3500 3584 3595 3640 3920 4000 4096 4160 4459 4480 4550 4900 5033 5096 5120 5200 5488 5600 5752 5824 6125 6272 6370 6400 6500 6656 6860 7000 7168 7190 7280 7840 8000 8192 8320 8575 8918 8960 9100 9347 9800 10066 10192 10240 10400 10976 11200 11375 11504 11648 12250 12544 12740 12800 13000 13312 13720 14000 14336 14380 14560 15680 15925 16000 16384 16640 17150 17836 17920 17975 18200 18694 19600 20132 20384 20480 20800 21952 22295 22400 22750 23008 23296 24500 25088 25165 25480 25600 26000 26624 27440 28000 28672 28760 29120 31360 31850 32000 32768 33280 34300 35231 35672 35840 35950 36400 37388 39200 40264 40768 40960 41600 42875 43904 44590 44800 45500 46016 46592 46735 49000 50176 50330 50960 51200 52000 53248 54880 56000 57344 57520 58240 62720 63700 64000 65429 66560 68600 70462 71344 71680 71900 72800 74776 78400 79625 80528 81536 81920 83200 85750 87808 89180 89600 89875 91000 92032 93184 93470 98000 100352 100660 101920 102400 104000 106496 109760 111475 112000 114688 115040 116480 125440 125825 127400 128000 130858 133120 137200 140924 142688 143360 143800 145600 149552 156800 159250 161056 163072 163840 166400 171500 175616 176155 178360 179200 179750 182000 184064 186368 186940 196000 200704 201320 203840 204800 208000 212992 219520 222950 224000 229376 230080 232960 233675 246617 250880 251650 254800 256000 261716 266240 274400 281848 285376 286720 287600 291200 299104 313600 318500 322112 326144 327145 332800 343000 351232 352310 356720 358400 359500 364000 368128 372736 373880 392000 401408 402640 407680 409600 416000 425984 439040 445900 448000 458003 460160 465920 467350 493234 501760 503300 509600 512000 523432 532480 548800 557375 563696 570752 573440 575200 582400 598208 627200 629125 637000 644224 652288 654290 665600 686000 702464 704620 713440 716800 719000 728000 736256 745472 747760 784000 802816 805280 815360 819200 832000 878080 880775 891800 896000 916006 920320 931840 934700 986468 1003520 1006600 1019200 1024000 1046864 1064960 1097600 1114750 1127392 1141504 1146880 1150400 1164800 1168375 1196416 1233085 1254400 1258250 1274000 1288448 1304576 1308580 1331200 1372000 1404928 1409240 1426880 1433600 1438000 1456000 1472512 1490944 1495520 1568000 1605632 1610560 1630720 1635725 1664000 1756160 1761550 1783600 1792000 1832012 1840640 1863680 1869400 1972936 2007040 2013200 2038400 2048000 2093728 2129920 2195200 2229500 2254784 2283008 2290015 2300800 2329600 2336750 2392832 2466170 2508800 2516500 2548000 2576896 2609152 2617160 2662400 2744000 2809856 2818480 2853760 2867200 2876000 2912000 2945024 2981888 2991040 3136000 3206021 3221120 3261440 3271450 3328000 3512320 3523100 3567200 3584000 3664024 3681280 3727360 3738800 3945872 4014080 4026400 4076800 4096000 4187456 4390400 4403875 4459000 4509568 4566016 4580030 4601600 4659200 4673500 4785664 4932340 5017600 5033000 5096000 5153792 5218304 5234320 5324800 5488000 5619712 5636960 5707520 5734400 5752000 5824000 5890048 5982080 6165425 6272000 6412042 6442240 6522880 6542900 6656000 7024640 7046200 7134400 7168000 7328048 7362560 7454720 7477600 7891744 8028160 8052800 8153600 8178625 8374912 8780800 8807750 8918000 9019136 9132032 9160060 9203200 9318400 9347000 9571328 9864680 10035200 10066000 10192000 10307584 10436608 10468640 10649600 10976000 11239424 11273920 11415040 11450075 11504000 11648000 11780096 11964160 12330850 12544000 12824084 12884480 13045760 13085800 13312000 14049280 14092400 14268800 14336000 14656096 14725120 14909440 14955200 15783488 16030105 16105600 16307200 16357250 16749824 17561600 17615500 17836000 18038272 18264064 18320120 18406400 18636800 18694000 19142656 19729360 20070400 20132000 20384000 20615168 20873216 20937280 21952000 22547840 22830080 22900150 23008000 23296000 23560192 23928320 24661700 25088000 25648168 25768960 26091520 26171600 26624000 28098560 28184800 28537600 28672000 29312192 29450240 29910400 30827125 31566976 32060210 32211200 32614400 32714500 33499648 35123200 35231000 35672000 36076544 36528128 36640240 36812800 37273600 37388000 38285312 39458720 40140800 40264000 40768000 41230336 41874560 43904000 45095680 45660160 45800300 46016000 46592000 47856640 49323400 50176000 51296336 51537920 52183040 52343200 53248000 56197120 56369600 57075200 57250375 58624384 58900480 59820800 61654250 63133952 64120420 64422400 65228800 65429000 66999296 70246400 70462000 71344000 72153088 73056256 73280480 73625600 74547200 74776000 76570624 78917440 80150525 80528000 81536000 82460672 83749120 87808000 90191360 91320320 91600600 92032000 93184000 95713280 98646800 100352000 102592672 103075840 104366080 104686400 112739200 114150400 114500750 117248768 117800960 119641600 123308500 126267904 128240840 128844800 130457600 130858000 133998592 140492800 140924000 142688000 144306176 146112512 146560960 147251200 149552000 153141248 157834880 160301050 161056000 163072000 164921344 167498240 175616000 180382720 182640640 183201200 184064000 186368000 191426560 197293600 200704000 205185344 206151680 209372800 225478400 228300800 229001500 234497536 239283200 246617000 252535808 256481680 257689600 260915200 261716000 267997184 280985600 281848000 285376000 288612352 293121920 294502400 299104000 306282496 315669760 320602100 322112000 326144000 334996480 351232000 360765440 365281280 366402400 368128000 372736000 382853120 394587200 400752625 410370688 412303360 418745600 450956800 456601600 458003000 468995072 478566400 493234000 505071616 512963360 515379200 521830400 523432000 535994368 563696000 570752000 577224704 586243840 589004800 598208000 631339520 641204200 644224000 652288000 669992960 702464000 721530880 730562560 732804800 736256000 765706240 789174400 801505250 820741376 824606720 837491200 901913600 913203200 916006000 937990144 957132800 986468000 1010143232 1025926720 1030758400 1046864000 1071988736 1127392000 1141504000 1154449408 1172487680 1196416000 1262679040 1282408400 1288448000 1304576000 1339985920 1404928000 1443061760 1465609600 1472512000 1531412480 1578348800 1603010500 1641482752 1674982400 1803827200 1826406400 1832012000 1875980288 1914265600 1972936000 2020286464 2051853440 2061516800 2093728000 2143977472 2254784000 2283008000 2344975360 2392832000 2525358080 2564816800 2576896000 2609152000 2679971840 2886123520 2931219200 2945024000 3156697600 3206021000 3282965504 3349964800 3607654400 3652812800 3664024000 3751960576 3828531200 3945872000 4040572928 4103706880 4123033600 4187456000 4509568000 4566016000 4689950720 4785664000 5050716160 5129633600 5153792000 5359943680 5772247040 5862438400 6313395200 6412042000 6565931008 6699929600 7215308800 7328048000 7503921152 7657062400 7891744000 8081145856 8207413760 8374912000 9019136000 9132032000 9379901440 9571328000 10101432320 10259267200 10307584000 10719887360 11724876800 12626790400 12824084000 13131862016 13399859200 14430617600 14656096000 15007842304 15783488000 16414827520 16749824000 18038272000 18264064000 18759802880 19142656000 20202864640 20518534400 20615168000 23449753600 25253580800 25648168000 26263724032 26799718400 28861235200 29312192000 31566976000 32829655040 33499648000 36076544000 37519605760 38285312000 40405729280 41037068800 46899507200 50507161600 51296336000 52527448064 53599436800 58624384000 63133952000 65659310080 66999296000 72153088000 75039211520 82074137600 93799014400 101014323200 102592672000 105054896128 117248768000 126267904000 131318620160 133998592000 144306176000 164148275200 187598028800 202028646400 205185344000 234497536000 252535808000 262637240320 267997184000 328296550400 375196057600 410370688000 468995072000 505071616000 525274480640 656593100800 820741376000 937990144000 1010143232000 1313186201600 1641482752000 1875980288000 2626372403200 3282965504000 6565931008000 13131862016000
- Sum of all divisors σ(n): 41220990720000
- Sum of proper divisors (its aliquot sum) s(n): 28089128704000
- 13131862016000 is an abundant number, because the sum of its proper divisors (28089128704000) is greater than itself. Its abundance is 14957266688000
Bases of 13131862016000
- Binary: 101111110001011111111111100010000000000000002
- Hexadecimal: 0xBF17FF88000
- Base-36: 4NKOZL88W
Squares and roots of 13131862016000
- 13131862016000 squared (131318620160002) is 172445800007263584256000000
- 13131862016000 cubed (131318620160003) is 2264534450934117186191382020096000000000
-
The
square root of 13131862016000 is 3623791.1109775629 -
The
cube root of 13131862016000 is 23592.5800287547
Scales and comparisons
How big is 13131862016000?- 13,131,862,016,000 seconds is equal to 417,552 years, 30 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,131,862,016,000 would take you about one million, forty-three thousand, eight hundred eighty-one 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 13131862016000 cubic inches would be around 1966 feet tall.
Recreational maths with 13131862016000
- 13131862016000 backwards is 00061026813131
- 13131862016000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13131862016000's digits is 32
- More coming soon!
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The information we have on file for 13131862016000 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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