13157634048000
13,157,634,048,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13157634048000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
13157634048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13157634048000:
215 × 3 × 53 × 13 × 31 × 2657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 2657)See below for interesting mathematical facts about the number 13157634048000 from the Numbermatics database.
Names of 13157634048000
- Cardinal: 13157634048000 can be written as Thirteen trillion, one hundred fifty-seven billion, six hundred thirty-four million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.3157634048 × 1013
Factors of 13157634048000
Divisors of 13157634048000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 155 156 160 186 192 195 200 208 240 248 250 256 260 300 310 312 320 325 372 375 384 390 400 403 416 465 480 496 500 512 520 600 620 624 640 650 744 750 768 775 780 800 806 832 930 960 975 992 1000 1024 1040 1200 1209 1240 1248 1280 1300 1488 1500 1536 1550 1560 1600 1612 1625 1664 1860 1920 1950 1984 2000 2015 2048 2080 2325 2400 2418 2480 2496 2560 2600 2657 2976 3000 3072 3100 3120 3200 3224 3250 3328 3720 3840 3875 3900 3968 4000 4030 4096 4160 4650 4800 4836 4875 4960 4992 5120 5200 5314 5952 6000 6045 6144 6200 6240 6400 6448 6500 6656 7440 7680 7750 7800 7936 7971 8000 8060 8192 8320 9300 9600 9672 9750 9920 9984 10075 10240 10400 10628 11625 11904 12000 12090 12288 12400 12480 12800 12896 13000 13285 13312 14880 15360 15500 15600 15872 15942 16000 16120 16384 16640 18600 19200 19344 19500 19840 19968 20150 20480 20800 21256 23250 23808 24000 24180 24576 24800 24960 25600 25792 26000 26570 26624 29760 30225 30720 31000 31200 31744 31884 32000 32240 32768 33280 34541 37200 38400 38688 39000 39680 39855 39936 40300 40960 41600 42512 46500 47616 48000 48360 49152 49600 49920 50375 51200 51584 52000 53140 53248 59520 60450 61440 62000 62400 63488 63768 64000 64480 66425 66560 69082 74400 76800 77376 78000 79360 79710 79872 80600 81920 82367 83200 85024 93000 95232 96000 96720 98304 99200 99840 100750 102400 103168 103623 104000 106280 106496 119040 120900 122880 124000 124800 126976 127536 128000 128960 132850 133120 138164 148800 151125 153600 154752 156000 158720 159420 159744 161200 163840 164734 166400 170048 172705 186000 190464 192000 193440 198400 199275 199680 201500 204800 206336 207246 208000 212560 212992 238080 241800 245760 247101 248000 249600 253952 255072 256000 257920 265700 266240 276328 297600 302250 307200 309504 312000 317440 318840 319488 322400 329468 332125 332800 340096 345410 372000 380928 384000 386880 396800 398550 399360 403000 409600 411835 412672 414492 416000 425120 425984 476160 483600 491520 494202 496000 499200 507904 510144 512000 515840 518115 531400 532480 552656 595200 604500 614400 619008 624000 634880 637680 638976 644800 658936 664250 665600 680192 690820 744000 761856 768000 773760 793600 797100 798720 806000 819200 823670 825344 828984 832000 850240 863525 952320 967200 988404 992000 996375 998400 1015808 1020288 1024000 1031680 1036230 1062800 1064960 1070771 1105312 1190400 1209000 1228800 1235505 1238016 1248000 1269760 1275360 1277952 1289600 1317872 1328500 1331200 1360384 1381640 1488000 1523712 1536000 1547520 1587200 1594200 1597440 1612000 1647340 1650688 1657968 1664000 1700480 1727050 1904640 1934400 1976808 1984000 1992750 1996800 2040576 2048000 2059175 2063360 2072460 2125600 2129920 2141542 2210624 2380800 2418000 2457600 2471010 2476032 2496000 2539520 2550720 2579200 2590575 2635744 2657000 2662400 2720768 2763280 2976000 3047424 3072000 3095040 3174400 3188400 3194880 3212313 3224000 3294680 3301376 3315936 3328000 3400960 3454100 3809280 3868800 3953616 3968000 3985500 3993600 4081152 4096000 4118350 4126720 4144920 4251200 4283084 4317625 4421248 4761600 4836000 4942020 4952064 4992000 5079040 5101440 5158400 5181150 5271488 5314000 5324800 5353855 5441536 5526560 5952000 6144000 6177525 6190080 6348800 6376800 6389760 6424626 6448000 6589360 6602752 6631872 6656000 6801920 6908200 7618560 7737600 7907232 7936000 7971000 7987200 8162304 8236700 8253440 8289840 8502400 8566168 8635250 8842496 9523200 9672000 9884040 9904128 9984000 10202880 10295875 10316800 10362300 10542976 10628000 10649600 10707710 10883072 11053120 11904000 12288000 12355050 12380160 12697600 12753600 12849252 12896000 12952875 13178720 13205504 13263744 13312000 13603840 13816400 15237120 15475200 15814464 15872000 15942000 15974400 16061565 16324608 16473400 16506880 16579680 17004800 17132336 17270500 17684992 19046400 19344000 19768080 19808256 19968000 20405760 20591750 20633600 20724600 21085952 21256000 21415420 21766144 22106240 23808000 24710100 24760320 25395200 25507200 25698504 25792000 25905750 26357440 26527488 26624000 26769275 27207680 27632800 30887625 30950400 31628928 31744000 31884000 31948800 32123130 32649216 32946800 33013760 33159360 34009600 34264672 34541000 35369984 38092800 38688000 39536160 39616512 39936000 40811520 41183500 41267200 41449200 42171904 42512000 42830840 43532288 44212480 47616000 49420200 49520640 51014400 51397008 51584000 51811500 52714880 53054976 53248000 53538550 54415360 55265600 61775250 61900800 63257856 63488000 63768000 64246260 65298432 65893600 66027520 66318720 68019200 68529344 69082000 70739968 76185600 77376000 79072320 79872000 80307825 81623040 82367000 82534400 82898400 84343808 85024000 85661680 87064576 88424960 95232000 98840400 99041280 102028800 102794016 103168000 103623000 105429760 106109952 107077100 108830720 110531200 123550500 123801600 126515712 126976000 127536000 128492520 130596864 131787200 132637440 133846375 136038400 137058688 138164000 141479936 154752000 158144640 159744000 160615650 163246080 164734000 165068800 165796800 168687616 170048000 171323360 176849920 190464000 197680800 198082560 204057600 205588032 206336000 207246000 210859520 212219904 214154200 217661440 221062400 247101000 247603200 253031424 255072000 256985040 261193728 263574400 265274880 267692750 272076800 274117376 276328000 282959872 309504000 316289280 321231300 326492160 329468000 330137600 331593600 337375232 340096000 342646720 353699840 380928000 395361600 401539125 408115200 411176064 412672000 414492000 421719040 424439808 428308400 435322880 442124800 494202000 495206400 506062848 510144000 513970080 527148800 530549760 535385500 544153600 548234752 552656000 565919744 619008000 632578560 642462600 652984320 658936000 663187200 674750464 680192000 685293440 707399680 790723200 803078250 816230400 822352128 825344000 828984000 843438080 848879616 856616800 884249600 988404000 990412800 1012125696 1020288000 1027940160 1054297600 1061099520 1070771000 1088307200 1096469504 1105312000 1131839488 1238016000 1265157120 1284925200 1305968640 1317872000 1326374400 1349500928 1360384000 1370586880 1414799360 1581446400 1606156500 1632460800 1644704256 1650688000 1657968000 1686876160 1697759232 1713233600 1768499200 1976808000 2024251392 2040576000 2055880320 2108595200 2122199040 2141542000 2176614400 2192939008 2210624000 2476032000 2530314240 2569850400 2635744000 2652748800 2699001856 2720768000 2741173760 2829598720 3162892800 3212313000 3264921600 3289408512 3315936000 3373752320 3395518464 3426467200 3536998400 3953616000 4048502784 4081152000 4111760640 4217190400 4244398080 4283084000 4385878016 4421248000 4952064000 5060628480 5139700800 5271488000 5305497600 5441536000 5482347520 5659197440 6325785600 6424626000 6529843200 6578817024 6631872000 6747504640 6852934400 7073996800 7907232000 8097005568 8162304000 8223521280 8434380800 8488796160 8566168000 8771756032 8842496000 10121256960 10279401600 10542976000 10610995200 10883072000 10964695040 12651571200 12849252000 13157634048 13263744000 13495009280 13705868800 14147993600 15814464000 16324608000 16447042560 16868761600 16977592320 17132336000 17543512064 17684992000 20242513920 20558803200 21085952000 21221990400 21929390080 25303142400 25698504000 26315268096 26527488000 27411737600 28295987200 31628928000 32649216000 32894085120 33737523200 34264672000 35087024128 35369984000 40485027840 41117606400 42171904000 42443980800 43858780160 50606284800 51397008000 52630536192 53054976000 54823475200 63257856000 65788170240 67475046400 68529344000 70739968000 82235212800 84343808000 84887961600 87717560320 101212569600 102794016000 105261072384 106109952000 109646950400 126515712000 131576340480 137058688000 141479936000 164470425600 168687616000 175435120640 202425139200 205588032000 212219904000 219293900800 253031424000 263152680960 274117376000 328940851200 337375232000 411176064000 424439808000 438587801600 506062848000 526305361920 548234752000 657881702400 822352128000 877175603200 1012125696000 1096469504000 1315763404800 1644704256000 2192939008000 2631526809600 3289408512000 4385878016000 6578817024000 13157634048000
- Sum of all divisors σ(n): 48695730370560
- Sum of proper divisors (its aliquot sum) s(n): 35538096322560
- 13157634048000 is an abundant number, because the sum of its proper divisors (35538096322560) is greater than itself. Its abundance is 22380462274560
Bases of 13157634048000
- Binary: 101111110111100000000001101010000000000000002
- Hexadecimal: 0xBF7801A8000
- Base-36: 4NWJ7LBEO
Squares and roots of 13157634048000
- 13157634048000 squared (131576340480002) is 173123333741088866304000000
- 13157634048000 cubed (131576340480003) is 2277893470535018083875230318592000000000
-
The
square root of 13157634048000 is 3627345.3168949879 -
The
cube root of 13157634048000 is 23608.0038733473
Scales and comparisons
How big is 13157634048000?- 13,157,634,048,000 seconds is equal to 418,372 years, 3 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 13,157,634,048,000 would take you about one million, forty-five thousand, nine hundred thirty 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 13157634048000 cubic inches would be around 1967.3 feet tall.
Recreational maths with 13157634048000
- 13157634048000 backwards is 00084043675131
- The number of decimal digits it has is: 14
- The sum of 13157634048000's digits is 42
- More coming soon!
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The information we have on file for 13157634048000 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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