131438133937500
131,438,133,937,500 is an even composite number composed of six prime numbers multiplied together.
What does the number 131438133937500 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
131438133937500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 131438133937500:
22 × 3 × 56 × 133 × 17 × 1372
(2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 137 × 137)See below for interesting mathematical facts about the number 131438133937500 from the Numbermatics database.
Names of 131438133937500
- Cardinal: 131438133937500 can be written as One hundred thirty-one trillion, four hundred thirty-eight billion, one hundred thirty-three million, nine hundred thirty-seven thousand, five hundred.
Scientific notation
- Scientific notation: 1.314381339375 × 1014
Factors of 131438133937500
Divisors of 131438133937500
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 125 130 137 150 156 169 170 195 204 221 250 255 260 274 300 325 338 340 375 390 411 425 442 500 507 510 548 625 650 663 676 685 750 780 822 845 850 884 975 1014 1020 1105 1250 1275 1300 1326 1370 1500 1625 1644 1690 1700 1781 1875 1950 2028 2055 2125 2197 2210 2329 2500 2535 2550 2652 2740 2873 3125 3250 3315 3380 3425 3562 3750 3900 4110 4225 4250 4394 4420 4658 4875 5070 5100 5343 5525 5746 6250 6375 6500 6591 6630 6850 6987 7124 7500 8125 8220 8450 8500 8619 8788 8905 9316 9375 9750 10140 10275 10625 10686 10985 11050 11492 11645 12500 12675 12750 13182 13260 13700 13974 14365 15625 16250 16575 16900 17125 17238 17810 18750 18769 19500 20550 21125 21250 21372 21970 22100 23153 23290 24375 25350 25500 26364 26715 27625 27948 28730 30277 31250 31875 32500 32955 33150 34250 34476 34935 35620 37349 37500 37538 40625 41100 42250 42500 43095 43940 44525 46306 46580 46875 48750 50700 51375 53125 53430 54925 55250 56307 57460 58225 60554 62500 63375 63750 65910 66300 68500 69459 69870 71825 74698 75076 81250 82875 84500 85625 86190 89050 90831 92612 93750 93845 97500 102750 105625 106250 106860 109850 110500 112047 112614 115765 116450 121108 121875 126750 127500 131820 133575 138125 138918 139740 143650 149396 151385 159375 162500 164775 165750 171250 172380 174675 178100 181662 186745 187500 187690 203125 205500 211250 212500 215475 219700 222625 224094 225228 231530 232900 243750 243997 253500 256875 265625 267150 274625 276250 277836 281535 287300 291125 300989 302770 316875 318750 319073 329550 331500 342500 347295 349350 359125 363324 373490 375380 393601 406250 414375 422500 428125 430950 445250 448188 454155 463060 469225 487500 487994 513750 528125 531250 534300 549250 552500 560235 563070 578825 582250 601978 605540 609375 633750 637500 638146 659100 667875 690625 694590 698700 718250 731991 746980 756925 787202 796875 812500 823875 828750 856250 861900 873375 890500 902967 908310 933725 938450 957219 975988 1027500 1056250 1062500 1077375 1098500 1113125 1120470 1126140 1157650 1164500 1180803 1203956 1218750 1219985 1267500 1276292 1284375 1335750 1373125 1381250 1389180 1407675 1436500 1455625 1463982 1504945 1513850 1574404 1584375 1593750 1595365 1647750 1657500 1712500 1736475 1746750 1795625 1805934 1816620 1867450 1876900 1914438 1968005 2071875 2112500 2140625 2154750 2226250 2240940 2270775 2315300 2346125 2361606 2437500 2439970 2568750 2640625 2671500 2746250 2762500 2801175 2815350 2894125 2911250 2927964 3009890 3027700 3168750 3171961 3187500 3190730 3295500 3339375 3453125 3472950 3493500 3591250 3611868 3659955 3734900 3784625 3828876 3936010 4119375 4143750 4147949 4281250 4309500 4366875 4452500 4514835 4541550 4668625 4692250 4723212 4786095 4879940 5116813 5137500 5281250 5386875 5492500 5565625 5602350 5630700 5788250 5822500 5904015 6019780 6099925 6337500 6343922 6381460 6421875 6678750 6865625 6906250 6945900 7038375 7182500 7278125 7319910 7524725 7569250 7872020 7921875 7976825 8238750 8287500 8295898 8562500 8682375 8733750 8978125 9029670 9083100 9337250 9384500 9515883 9572190 9840025 10233626 10359375 10562500 10773750 11131250 11204700 11353875 11576500 11730625 11808030 12199850 12443847 12687844 12843750 13357500 13731250 13812500 14005875 14076750 14470625 14556250 14639820 15049450 15138500 15350439 15843750 15859805 15953650 16477500 16591796 16696875 17364750 17467500 17956250 18059340 18299775 18674500 18923125 19031766 19144380 19680050 20467252 20596875 20718750 20739745 21547500 21834375 22262500 22574175 22707750 23343125 23461250 23616060 23930475 24399700 24887694 25584065 25687500 26934375 27462500 27828125 28011750 28153500 28941250 29112500 29520075 30098900 30499625 30700878 31687500 31719610 31907300 33393750 34328125 34729500 35191875 35912500 36390625 36599550 37623625 37846250 38063532 39360100 39884125 41193750 41235493 41437500 41479490 43411875 43668750 44890625 45148350 45415500 46686250 46922500 47579415 47860950 49200125 49775388 51168130 53868750 53923337 55656250 56023500 56769375 57882500 58653125 59040150 60999250 61401756 62219235 63439220 66787500 68656250 70029375 70383750 72353125 72781250 73199100 75247250 75692500 76752195 79299025 79768250 82387500 82470986 82958980 83484375 86823750 87337500 89781250 90296700 91498875 93372500 94615625 95158830 95721900 98400250 102336260 102984375 103698725 107737500 107846674 109171875 111312500 112870875 113538750 116715625 117306250 118080300 119652375 121998500 123706479 124438470 127920325 134671875 137312500 140058750 140767500 144706250 145562500 147600375 150494500 152498125 153504390 158598050 159536500 161770011 164941972 166968750 173647500 175959375 179562500 182997750 188118125 189231250 190317660 196800500 199420625 205968750 206177465 207397450 215693348 217059375 218343750 225741750 227077500 233431250 234612500 237897075 239304750 246000625 247412958 248876940 255840650 269343750 269616685 280117500 283846875 289412500 293265625 295200750 304996250 307008780 311096175 317196100 323540022 333937500 350146875 351918750 361765625 365995500 376236250 378462500 383760975 396495125 398841250 411937500 412354930 414794900 434118750 436687500 451483500 457494375 466862500 473078125 475794150 478609500 492001250 494825916 511681300 518493625 538687500 539233370 564354375 567693750 583578125 586531250 590401500 598261875 609992500 618532395 622192350 639601625 647080044 700293750 701003381 703837500 723531250 738001875 752472500 762490625 767521950 792990250 797682500 808850055 824709860 868237500 879796875 914988750 940590625 946156250 951588300 984002500 997103125 1030887325 1036987250 1078466740 1085296875 1128708750 1135387500 1167156250 1173062500 1189485375 1196523750 1230003125 1237064790 1244384700 1279203250 1348083425 1400587500 1402006762 1419234375 1447062500 1476003750 1524981250 1535043900 1555480875 1585980500 1617700110 1750734375 1759593750 1829977500 1881181250 1892312500 1918804875 1982475625 1994206250 2061774650 2073974500 2103010143 2170593750 2257417500 2287471875 2334312500 2378970750 2393047500 2460006250 2474129580 2558406500 2592468125 2696166850 2804013524 2821771875 2838468750 2952007500 2991309375 3049962500 3092661975 3110961750 3198008125 3235400220 3501468750 3505016905 3519187500 3690009375 3762362500 3812453125 3837609750 3964951250 3988412500 4044250275 4123549300 4206020286 4341187500 4574943750 4702953125 4757941500 4920012500 4985515625 5154436625 5184936250 5392333700 5643543750 5676937500 5947426875 5982618750 6150015625 6185323950 6221923500 6396016250 6740417125 7002937500 7010033810 7380018750 7624906250 7675219500 7777404375 7929902500 8088500550 8412040572 9149887500 9405906250 9594024375 9912378125 9971031250 10308873250 10369872500 10515050715 11287087500 11437359375 11894853750 11965237500 12300031250 12370647900 12792032500 12962340625 13480834250 14020067620 14108859375 14760037500 14956546875 15249812500 15463309875 15554808750 15990040625 16177001100 17525084525 18450046875 18811812500 19188048750 19824756250 19942062500 20221251375 20617746500 21030101430 22874718750 23789707500 24600062500 25772183125 25924681250 26961668500 28217718750 29737134375 29913093750 30926619750 31109617500 31980081250 33702085625 35050169050 36900093750 38376097500 38887021875 39649512500 40442502750 42060202860 45749437500 47970121875 49561890625 51544366250 51849362500 52575253575 56435437500 59474268750 59826187500 61853239500 63960162500 64811703125 67404171250 70100338100 73800187500 77316549375 77774043750 79950203125 80885005500 87625422625 95940243750 99123781250 101106256875 103088732500 105150507150 118948537500 128860915625 129623406250 134808342500 148685671875 154633098750 155548087500 159900406250 168510428125 175250845250 191880487500 194435109375 198247562500 202212513750 210301014300 239850609375 257721831250 259246812500 262876267875 297371343750 309266197500 319800812500 337020856250 350501690500 386582746875 388870218750 404425027500 438127113125 479701218750 505531284375 515443662500 525752535750 594742687500 644304578125 674041712500 773165493750 777740437500 842552140625 876254226250 959402437500 1011062568750 1051505071500 1288609156250 1314381339375 1546330987500 1685104281250 1752508452500 1932913734375 2022125137500 2190635565625 2527656421875 2577218312500 2628762678750 3370208562500 3865827468750 4381271131250 5055312843750 5257525357500 6571906696875 7731654937500 8762542262500 10110625687500 10953177828125 13143813393750 21906355656250 26287626787500 32859533484375 43812711312500 65719066968750 131438133937500
- Sum of all divisors σ(n): 442949889543840
- Sum of proper divisors (its aliquot sum) s(n): 311511755606340
- 131438133937500 is an abundant number, because the sum of its proper divisors (311511755606340) is greater than itself. Its abundance is 180073621668840
Bases of 131438133937500
- Binary: 111011110001010110100110100100010000101010111002
- Hexadecimal: 0x778AD348855C
- Base-36: 1AL9UFBBDO
Squares and roots of 131438133937500
- 131438133937500 squared (1314381339375002) is 17275983052972189253906250000
- 131438133937500 cubed (1314381339375003) is 2270722974418538768617527882568359375000000
-
The
square root of 131438133937500 is 11464647.1353243141 -
The
cube root of 131438133937500 is 50844.0879813137
Scales and comparisons
How big is 131438133937500?- 131,438,133,937,500 seconds is equal to 4,179,326 years, 4 weeks, 6 days, 8 hours, 25 minutes.
-
To count from 1 to 131,438,133,937,500 would take you about ten million, four hundred forty-eight thousand, three hundred fifteen 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 131438133937500 cubic inches would be around 4237 feet tall.
Recreational maths with 131438133937500
- 131438133937500 backwards is 005739331834131
- 131438133937500 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131438133937500's digits is 51
- More coming soon!
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The information we have on file for 131438133937500 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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