131320839264000
131,320,839,264,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131320839264000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
131320839264000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131320839264000:
28 × 3 × 53 × 37 × 137 × 421 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 137 × 421 × 641)See below for interesting mathematical facts about the number 131320839264000 from the Numbermatics database.
Names of 131320839264000
- Cardinal: 131320839264000 can be written as One hundred thirty-one trillion, three hundred twenty billion, eight hundred thirty-nine million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.31320839264 × 1014
Factors of 131320839264000
Divisors of 131320839264000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 137 148 150 160 185 192 200 222 240 250 256 274 296 300 320 370 375 384 400 411 421 444 480 500 548 555 592 600 640 641 685 740 750 768 800 822 842 888 925 960 1000 1096 1110 1184 1200 1263 1280 1282 1370 1480 1500 1600 1644 1684 1776 1850 1920 1923 2000 2055 2105 2192 2220 2368 2400 2526 2564 2740 2775 2960 3000 3200 3205 3288 3368 3425 3552 3700 3840 3846 4000 4110 4210 4384 4440 4625 4736 4800 5052 5069 5128 5480 5550 5920 6000 6315 6400 6410 6576 6736 6850 7104 7400 7692 8000 8220 8420 8768 8880 9250 9472 9600 9615 10104 10138 10256 10275 10525 10960 11100 11840 12000 12630 12820 13152 13472 13700 13875 14208 14800 15207 15384 15577 16000 16025 16440 16840 17125 17536 17760 18500 19200 19230 20208 20276 20512 20550 21050 21920 22200 23680 23717 24000 25260 25345 25640 26304 26944 27400 27750 28416 29600 30414 30768 31154 31575 32000 32050 32880 33680 34250 35072 35520 37000 38460 40416 40552 41024 41100 42100 43840 44400 46731 47360 47434 48000 48075 50520 50690 51280 51375 52608 52625 53888 54800 55500 57677 59200 60828 61536 62308 63150 64100 65760 67360 68500 71040 71151 74000 76035 76920 77885 80125 80832 81104 82048 82200 84200 87680 87817 88800 93462 94868 96000 96150 101040 101380 102560 102750 105216 105250 107776 109600 111000 115354 118400 118585 121656 123072 124616 126300 126725 128200 131520 134720 137000 142080 142302 148000 152070 153840 155770 157875 160250 161664 162208 164096 164400 168400 173031 175360 175634 177600 186924 189736 192300 202080 202760 205120 205500 210500 219200 222000 230708 233655 236800 237170 240375 243312 246144 249232 252600 253450 256400 263040 263451 269440 269861 274000 284604 288385 296000 304140 307680 311540 315750 320500 323328 324416 328800 336800 346062 351268 355200 355755 373848 379472 380175 384600 389425 404160 405520 410240 411000 421000 438400 439085 444000 461416 467310 474340 480750 486624 492288 498464 505200 506900 512800 526080 526902 538880 539722 548000 569208 576770 592000 592925 608280 615360 623080 631500 633625 641000 648832 657600 673600 692124 702536 710400 711510 747696 758944 760350 769200 778850 808320 809583 811040 820480 822000 842000 865155 876800 878170 888000 922832 934620 948680 961500 973248 996928 1010400 1013800 1025600 1053804 1079444 1096000 1138416 1153540 1168275 1184000 1185850 1216560 1230720 1246160 1263000 1267250 1282000 1297664 1315200 1317255 1347200 1349305 1384248 1405072 1423020 1441925 1495392 1517888 1520700 1538400 1557700 1616640 1619166 1622080 1644000 1684000 1730310 1756340 1776000 1778775 1845664 1869240 1897360 1900875 1923000 1946496 1947125 1993856 2020800 2027600 2051200 2107608 2134049 2158888 2192000 2195425 2276832 2307080 2336550 2371700 2433120 2461440 2492320 2526000 2534500 2564000 2630400 2634510 2694400 2698610 2768496 2810144 2846040 2883850 2964625 2990784 3035776 3041400 3076800 3115400 3238332 3244160 3249229 3288000 3368000 3460620 3512680 3552000 3557550 3691328 3738480 3794720 3801750 3846000 3892992 3894250 3987712 4041600 4047915 4055200 4102400 4215216 4268098 4317776 4325775 4384000 4390850 4553664 4614160 4673100 4743400 4866240 4984640 5052000 5069000 5128000 5269020 5397220 5536992 5620288 5692080 5767700 5841375 5929250 5981568 6071552 6082800 6153600 6230800 6402147 6476664 6488320 6498458 6576000 6586275 6736000 6746525 6921240 7025360 7115100 7209625 7382656 7476960 7589440 7603500 7692000 7788500 8083200 8095830 8110400 8430432 8536196 8635552 8651550 8781700 8893875 9107328 9228320 9346200 9486800 9732480 9747687 9969280 9984857 10104000 10138000 10256000 10538040 10670245 10794440 10977125 11073984 11240576 11384160 11535400 11682750 11858500 11963136 12165600 12307200 12461600 12804294 12953328 12996916 13152000 13172550 13472000 13493050 13842480 14050720 14230200 14419250 14765312 14953920 15178880 15207000 15384000 15577000 16191660 16220800 16246145 16860864 17072392 17271104 17303100 17563400 17787750 18214656 18456640 18692400 18973600 19464960 19495374 19938560 19969714 20208000 20239575 20276000 20512000 21076080 21340490 21588880 21628875 21954250 22147968 22481152 22768320 23070800 23365500 23717000 24331200 24923200 25608588 25906656 25993832 26345100 26986100 27684960 28101440 28460400 28838500 29907840 29954571 30357760 30414000 30768000 31154000 32010735 32383320 32441600 32492290 32931375 33721728 33732625 34144784 34542208 34606200 35126800 35575500 36913280 36970957 37384800 37947200 38990748 39939428 40416000 40479150 40552000 42152160 42680980 43177760 43257750 43908500 44295936 45536640 46141600 46731000 47434000 48662400 48738435 49846400 49924285 51217176 51813312 51987664 52690200 53351225 53972200 55369920 56202880 56920800 57677000 59815680 59909142 60828000 61536000 62308000 64021470 64766640 64984580 65862750 67443456 67465250 68289568 69084416 69212400 70253600 71151000 73826560 73941914 74769600 75894400 77981496 79878856 80958300 81104000 81230725 84304320 85361960 86355520 86515500 87817000 91073280 92283200 93462000 94868000 97324800 97476870 99692800 99848570 101197875 102434352 103626624 103975328 105380400 106702450 107944400 110739840 110912871 112405760 113841600 115354000 119818284 121656000 124616000 128042940 129533280 129969160 131725500 134930500 136579136 138424800 140507200 142302000 147883828 149539200 149772855 151788800 155962992 159757712 160053675 161916600 162208000 162461450 168608640 170723920 172711040 173031000 175634000 184566400 184854785 186924000 189736000 194953740 199697140 202395750 204868704 207253248 207950656 210760800 213404900 215888800 221479680 221825742 227683200 230708000 239636568 243312000 243692175 249232000 249621425 256085880 259066560 259938320 263451000 266756125 269861000 273158272 276849600 281014400 284604000 295767656 299078400 299545710 311925984 319515424 320107350 323833200 324922900 337217280 341447840 345422080 346062000 351268000 369132800 369709570 373848000 379472000 389907480 399394280 404791500 406153625 409737408 415901312 421521600 426809800 431777600 443651484 455366400 461416000 479273136 486624000 487384350 498464000 499242850 512171760 518133120 519876640 526902000 533512250 539722000 546316544 553699200 554564355 562028800 569208000 591535312 599091420 623851968 639030848 640214700 647666400 649845800 682895680 692124000 702536000 739419140 747696000 748864275 758944000 779814960 798788560 800268375 809583000 812307250 819474816 831802624 843043200 853619600 863555200 887302968 922832000 924273925 958546272 974768700 998485700 1024343520 1036266240 1039753280 1053804000 1067024500 1079444000 1107398400 1109128710 1138416000 1183070624 1198182840 1218460875 1247703936 1248107125 1278061696 1280429400 1295332800 1299691600 1365791360 1367925409 1384248000 1405072000 1478838280 1495392000 1497728550 1559629920 1597577120 1600536750 1619166000 1624614500 1638949632 1686086400 1707239200 1727110400 1774605936 1845664000 1848547850 1917092544 1949537400 1996971400 2048687040 2079506560 2107608000 2134049000 2158888000 2218257420 2276832000 2366141248 2396365680 2436921750 2495407872 2496214250 2556123392 2560858800 2590665600 2599383200 2731582720 2735850818 2768496000 2772821775 2810144000 2957676560 2995457100 3119259840 3195154240 3201073500 3238332000 3249229000 3414478400 3549211872 3697095700 3744321375 3834185088 3899074800 3993942800 4097374080 4103776227 4159013120 4215216000 4268098000 4317776000 4436514840 4621369625 4732282496 4792731360 4873843500 4992428500 5121717600 5181331200 5198766400 5471701636 5536992000 5545643550 5915353120 5990914200 6238519680 6390308480 6402147000 6476664000 6498458000 6828956800 6839627045 7098423744 7394191400 7488642750 7668370176 7798149600 7987885600 8194748160 8207552454 8430432000 8536196000 8635552000 8873029680 9242739250 9464564992 9585462720 9747687000 9984857000 10243435200 10397532800 10943403272 11091287100 11830706240 11981828400 12477039360 12780616960 12804294000 12953328000 12996916000 13657913600 13679254090 13864108875 14196847488 14788382800 14977285500 15596299200 15975771200 16415104908 17072392000 17746059360 18485478500 19170925440 19495374000 19969714000 20486870400 20518881135 20795065600 21886806544 22182574200 23661412480 23963656800 25608588000 25906656000 25993832000 27358508180 27728217750 28393694976 29576765600 29954571000 31192598400 31951542400 32830209816 34144784000 34198135225 35492118720 36970957000 38341850880 38990748000 39939428000 40973740800 41037762270 43773613088 44365148400 47322824960 47927313600 51217176000 51987664000 54717016360 55456435500 59153531200 59909142000 62385196800 63903084800 65660419632 68289568000 68396270450 70984237440 73941914000 77981496000 79878856000 82075524540 87547226176 88730296800 95854627200 102434352000 102594405675 103975328000 109434032720 110912871000 118307062400 119818284000 131320839264 136792540900 141968474880 147883828000 155962992000 159757712000 164151049080 170990676125 175094452352 177460593600 191709254400 204868704000 205188811350 218868065440 221825742000 236614124800 239636568000 262641678528 273585081800 295767656000 311925984000 319515424000 328302098160 341981352250 350188904704 354921187200 410377622700 437736130880 443651484000 479273136000 512972028375 525283357056 547170163600 591535312000 656604196320 683962704500 709842374400 820755245400 875472261760 887302968000 958546272000 1025944056750 1050566714112 1094340327200 1183070624000 1313208392640 1367925409000 1641510490800 1750944523520 1774605936000 2051888113500 2188680654400 2626416785280 2735850818000 3283020981600 3549211872000 4103776227000 4377361308800 5252833570560 5471701636000 6566041963200 8207552454000 8754722617600 10943403272000 13132083926400 16415104908000 21886806544000 26264167852800 32830209816000 43773613088000 65660419632000 131320839264000
- Sum of all divisors σ(n): 453018201801984
- Sum of proper divisors (its aliquot sum) s(n): 321697362537984
- 131320839264000 is an abundant number, because the sum of its proper divisors (321697362537984) is greater than itself. Its abundance is 190376523273984
Bases of 131320839264000
- Binary: 111011101101111100000111111100111010111000000002
- Hexadecimal: 0x776F83F9D700
- Base-36: 1AJRYL3E2O
Squares and roots of 131320839264000
- 131320839264000 squared (1313208392640002) is 17245162825001324061696000000
- 131320839264000 cubed (1313208392640003) is 2264649255423507037693156035231744000000000
-
The
square root of 131320839264000 is 11459530.4992831187 -
The
cube root of 131320839264000 is 50828.9591512351
Scales and comparisons
How big is 131320839264000?- 131,320,839,264,000 seconds is equal to 4,175,596 years, 25 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 131,320,839,264,000 would take you about ten million, four hundred thirty-eight thousand, nine hundred ninety-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 131320839264000 cubic inches would be around 4235.7 feet tall.
Recreational maths with 131320839264000
- 131320839264000 backwards is 000462938023131
- The number of decimal digits it has is: 15
- The sum of 131320839264000's digits is 42
- More coming soon!
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The information we have on file for 131320839264000 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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