13481993478144000
13,481,993,478,144,000 is an even composite number composed of seven prime numbers multiplied together.
13481993478144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred seventy-six divisors.
Prime factorization of 13481993478144000:
216 × 3 × 53 × 31 × 37 × 257 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 37 × 257 × 1861)See below for interesting mathematical facts about the number 13481993478144000 from the Numbermatics database.
Names of 13481993478144000
- Cardinal: 13481993478144000 can be written as Thirteen quadrillion, four hundred eighty-one trillion, nine hundred ninety-three billion, four hundred seventy-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3481993478144 × 1016
Factors of 13481993478144000
Divisors of 13481993478144000
- Number of divisors d(n): 2176
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 37 40 48 50 60 62 64 74 75 80 93 96 100 111 120 124 125 128 148 150 155 160 185 186 192 200 222 240 248 250 256 257 296 300 310 320 370 372 375 384 400 444 465 480 496 500 512 514 555 592 600 620 640 740 744 750 768 771 775 800 888 925 930 960 992 1000 1024 1028 1110 1147 1184 1200 1240 1280 1285 1480 1488 1500 1536 1542 1550 1600 1776 1850 1860 1861 1920 1984 2000 2048 2056 2220 2294 2325 2368 2400 2480 2560 2570 2775 2960 2976 3000 3072 3084 3100 3200 3441 3552 3700 3720 3722 3840 3855 3875 3968 4000 4096 4112 4440 4588 4625 4650 4736 4800 4960 5120 5140 5550 5583 5735 5920 5952 6000 6144 6168 6200 6400 6425 6882 7104 7400 7440 7444 7680 7710 7750 7936 7967 8000 8192 8224 8880 9176 9250 9300 9305 9472 9509 9600 9920 10240 10280 11100 11166 11470 11625 11840 11904 12000 12288 12336 12400 12800 12850 13764 13875 14208 14800 14880 14888 15360 15420 15500 15872 15934 16000 16384 16448 17205 17760 18352 18500 18600 18610 18944 19018 19200 19275 19840 20480 20560 22200 22332 22940 23250 23680 23808 23901 24000 24576 24672 24800 25600 25700 27528 27750 27915 28416 28527 28675 29600 29760 29776 30720 30840 31000 31744 31868 32000 32125 32768 32896 34410 35520 36704 37000 37200 37220 37888 38036 38400 38550 39680 39835 40960 41120 44400 44664 45880 46500 46525 47360 47545 47616 47802 48000 49152 49344 49600 51200 51400 55056 55500 55830 56832 57054 57350 57691 59200 59520 59552 61440 61680 62000 63488 63736 64000 64250 65536 65792 68820 68857 71040 73408 74000 74400 74440 75776 76072 76800 77100 79360 79670 81920 82240 86025 88800 89328 91760 93000 93050 94720 95090 95232 95604 96000 96375 98304 98688 99200 102400 102800 110112 111000 111660 113664 114108 114700 115382 118400 119040 119104 119505 122880 123360 124000 126976 127472 128000 128500 131584 137640 137714 139575 142080 142635 143375 146816 148000 148800 148880 151552 152144 153600 154200 158720 159340 163840 164480 172050 173073 177600 178656 183520 186000 186100 189440 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4388669752000 4493997826048 4530239744000 4554727526400 4858376028160 5245911859200 5266403702400 5436287692800 5617497282560 5693409408000 5798706872320 5877067776000 6072970035200 6557389824000 6583004628000 6740996739072 6795359616000 7021871603200 7244488704000 7248383590400 7287564042240 7591212544000 8426245923840 8698060308480 8743186432000 8777339504000 8987995652096 9060479488000 9109455052800 10491823718400 10532807404800 10872575385600 11234994565120 11386818816000 11754135552000 12145940070400 13114779648000 13166009256000 13481993478144 13590719232000 14043743206400 14496767180800 14575128084480 15182425088000 16852491847680 17396120616960 17486372864000 17554679008000 17975991304192 18120958976000 18218910105600 21065614809600 21745150771200 22469989130240 22773637632000 24291880140800 26229559296000 26332018512000 26963986956288 27181438464000 28087486412800 28993534361600 30364850176000 33704983695360 35109358016000 35951982608384 36241917952000 36437820211200 42131229619200 43490301542400 44939978260480 45547275264000 52459118592000 52664037024000 53927973912576 54362876928000 56174972825600 60729700352000 67409967390720 70218716032000 72483835904000 72875640422400 84262459238400 86980603084800 89879956520960 91094550528000 105328074048000 107855947825152 108725753856000 112349945651200 121459400704000 134819934781440 140437432064000 144967671808000 168524918476800 179759913041920 182189101056000 210656148096000 217451507712000 224699891302400 269639869562880 280874864128000 337049836953600 364378202112000 421312296192000 434903015424000 449399782604800 539279739125760 561749728256000 674099673907200 842624592384000 898799565209600 1123499456512000 1348199347814400 1685249184768000 2246998913024000 2696398695628800 3370498369536000 4493997826048000 6740996739072000 13481993478144000
- Sum of all divisors σ(n): 47777581291474944
- Sum of proper divisors (its aliquot sum) s(n): 34295587813330944
- 13481993478144000 is an abundant number, because the sum of its proper divisors (34295587813330944) is greater than itself. Its abundance is 20813594335186944
Bases of 13481993478144000
- Binary: 1011111110010111001101001110000010000100000000000000002
- Hexadecimal: 0x2FE5CD38210000
- Base-36: 3OQYUAU4PHC
Squares and roots of 13481993478144000
- 13481993478144000 squared (134819934781440002) is 181764148144717350605684736000000
- 13481993478144000 cubed (134819934781440003) is 2450543059847479158352120258963370409984000000000
-
The
square root of 13481993478144000 is 116111986.7978496009 -
The
cube root of 13481993478144000 is 238004.2456116207
Scales and comparisons
How big is 13481993478144000?- 13,481,993,478,144,000 seconds is equal to 428,685,690 years, 3 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 13,481,993,478,144,000 would take you about one billion, two hundred eighty-six million, fifty-seven thousand and seventy 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 13481993478144000 cubic inches would be around 19833.7 feet tall.
Recreational maths with 13481993478144000
- 13481993478144000 backwards is 00044187439918431
- The number of decimal digits it has is: 17
- The sum of 13481993478144000's digits is 66
- More coming soon!
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Numbermatics. (2024). Number 13481993478144000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13481993478144000/
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The information we have on file for 13481993478144000 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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