131738313728000
131,738,313,728,000 is an even composite number composed of five prime numbers multiplied together.
131738313728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 131738313728000:
213 × 53 × 7 × 941 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 941 × 19531)See below for interesting mathematical facts about the number 131738313728000 from the Numbermatics database.
Names of 131738313728000
- Cardinal: 131738313728000 can be written as One hundred thirty-one trillion, seven hundred thirty-eight billion, three hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.31738313728 × 1014
Factors of 131738313728000
Divisors of 131738313728000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 941 1000 1024 1120 1280 1400 1600 1750 1792 1882 2000 2048 2240 2560 2800 3200 3500 3584 3764 4000 4096 4480 4705 5120 5600 6400 6587 7000 7168 7528 8000 8192 8960 9410 10240 11200 12800 13174 14000 14336 15056 16000 17920 18820 19531 20480 22400 23525 25600 26348 28000 28672 30112 32000 32935 35840 37640 39062 40960 44800 47050 51200 52696 56000 57344 60224 64000 65870 71680 75280 78124 89600 94100 97655 102400 105392 112000 117625 120448 128000 131740 136717 143360 150560 156248 164675 179200 188200 195310 204800 210784 224000 235250 240896 256000 263480 273434 286720 301120 312496 329350 358400 376400 390620 421568 448000 470500 481792 488275 512000 526960 546868 602240 624992 658700 683585 716800 752800 781240 823375 843136 896000 941000 963584 976550 1024000 1053920 1093736 1204480 1249984 1317400 1367170 1433600 1505600 1562480 1646750 1686272 1792000 1882000 1927168 1953100 2107840 2187472 2408960 2441375 2499968 2634800 2734340 3011200 3124960 3293500 3372544 3417925 3584000 3764000 3854336 3906200 4215680 4374944 4817920 4882750 4999936 5269600 5468680 6022400 6249920 6587000 6745088 6835850 7168000 7528000 7708672 7812400 8431360 8749888 9635840 9765500 9999872 10539200 10937360 12044800 12499840 13174000 13490176 13671700 15056000 15624800 16862720 17089625 17499776 18378671 19271680 19531000 19999744 21078400 21874720 24089600 24999680 26348000 26980352 27343400 30112000 31249600 33725440 34179250 34999552 36757342 38543360 39062000 39999488 42156800 43749440 48179200 49999360 52696000 53960704 54686800 60224000 62499200 67450880 68358500 69999104 73514684 78124000 79998976 84313600 87498880 91893355 96358400 99998720 105392000 109373600 120448000 124998400 128650697 134901760 136717000 139998208 147029368 156248000 159997952 168627200 174997760 183786710 192716800 199997440 210784000 218747200 240896000 249996800 257301394 269803520 273434000 279996416 294058736 312496000 337254400 349995520 367573420 399994880 421568000 437494400 459466775 481792000 499993600 514602788 546868000 559992832 588117472 624992000 643253485 674508800 699991040 735146840 799989760 843136000 874988800 918933550 963584000 999987200 1029205576 1093736000 1119985664 1176234944 1249984000 1286506970 1349017600 1399982080 1470293680 1686272000 1749977600 1837867100 1999974400 2058411152 2187472000 2297333875 2352469888 2499968000 2573013940 2799964160 2940587360 3216267425 3372544000 3499955200 3675734200 3999948800 4116822304 4374944000 4594667750 4704939776 4999936000 5146027880 5599928320 5881174720 6432534850 6745088000 6999910400 7351468400 8233644608 8749888000 9189335500 9409879552 9999872000 10292055760 11762349440 12865069700 13999820800 14702936800 16081337125 16467289216 17499776000 18378671000 18819759104 19999744000 20584111520 23524698880 25730139400 27999641600 29405873600 32162674250 32934578432 34999552000 36757342000 37639518208 41168223040 47049397760 51460278800 58811747200 64325348500 65869156864 69999104000 73514684000 75279036416 82336446080 94098795520 102920557600 117623494400 128650697000 131738313728 139998208000 147029368000 150558072832 164672892160 188197591040 205841115200 235246988800 257301394000 263476627456 294058736000 329345784320 376395182080 411682230400 470493977600 514602788000 526953254912 588117472000 658691568640 752790364160 823364460800 940987955200 1029205576000 1053906509824 1176234944000 1317383137280 1646728921600 1881975910400 2058411152000 2352469888000 2634766274560 3293457843200 3763951820800 4116822304000 4704939776000 5269532549120 6586915686400 8233644608000 9409879552000 13173831372800 16467289216000 18819759104000 26347662745600 32934578432000 65869156864000 131738313728000
- Sum of all divisors σ(n): 376188603837696
- Sum of proper divisors (its aliquot sum) s(n): 244450290109696
- 131738313728000 is an abundant number, because the sum of its proper divisors (244450290109696) is greater than itself. Its abundance is 112711976381696
Bases of 131738313728000
- Binary: 111011111010000101101110110010010100000000000002
- Hexadecimal: 0x77D0B764A000
- Base-36: 1AP3QUM03K
Squares and roots of 131738313728000
- 131738313728000 squared (1317383137280002) is 17354983303896953257984000000
- 131738313728000 cubed (1317383137280003) is 2286316235232978793283647912804352000000000
-
The
square root of 131738313728000 is 11477731.2099560861 -
The
cube root of 131738313728000 is 50882.7646401989
Scales and comparisons
How big is 131738313728000?- 131,738,313,728,000 seconds is equal to 4,188,870 years, 45 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 131,738,313,728,000 would take you about ten million, four hundred seventy-two thousand, one hundred seventy-seven 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 131738313728000 cubic inches would be around 4240.2 feet tall.
Recreational maths with 131738313728000
- 131738313728000 backwards is 000827313837131
- The number of decimal digits it has is: 15
- The sum of 131738313728000's digits is 47
- More coming soon!
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