131314842495200
131,314,842,495,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 131314842495200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
131314842495200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131314842495200:
25 × 52 × 73 × 13 × 433 × 463
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 43 × 43 × 43 × 463)See below for interesting mathematical facts about the number 131314842495200 from the Numbermatics database.
Names of 131314842495200
- Cardinal: 131314842495200 can be written as One hundred thirty-one trillion, three hundred fourteen billion, eight hundred forty-two million, four hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.313148424952 × 1014
Factors of 131314842495200
Divisors of 131314842495200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 49 50 52 56 65 70 80 86 91 98 100 104 112 130 140 160 172 175 182 196 200 208 215 224 245 260 280 301 325 343 344 350 364 392 400 416 430 455 463 490 520 559 560 602 637 650 686 688 700 728 784 800 860 910 926 980 1040 1075 1118 1120 1204 1225 1274 1300 1372 1376 1400 1456 1505 1568 1715 1720 1820 1849 1852 1960 2080 2107 2150 2236 2275 2315 2408 2450 2548 2600 2744 2795 2800 2912 3010 3185 3241 3430 3440 3640 3698 3704 3913 3920 4214 4300 4459 4472 4550 4630 4816 4900 5096 5200 5488 5590 5600 6019 6020 6370 6482 6860 6880 7280 7396 7408 7525 7826 7840 8428 8575 8600 8918 8944 9100 9245 9260 9632 9800 10192 10400 10535 10976 11180 11575 12038 12040 12740 12943 12964 13720 13975 14560 14749 14792 14816 15050 15652 15925 16205 16856 17150 17200 17836 17888 18200 18490 18520 19565 19600 19909 20384 21070 22295 22360 22687 23150 24037 24076 24080 25480 25886 25928 27391 27440 27950 29498 29584 30095 30100 31304 31850 32410 33712 34300 34400 35672 36400 36980 37040 39130 39200 39818 42133 42140 44590 44720 45374 46225 46300 48074 48152 48160 50960 51772 51856 52675 54782 54880 55900 58996 59168 60190 60200 62608 63700 64715 64820 67424 68600 71344 72800 73745 73960 74080 78260 79507 79636 81025 84266 84280 89180 89440 90601 90748 92450 92600 96148 96304 97825 99545 101920 103544 103712 105350 109564 111475 111800 113435 117992 120185 120380 120400 125216 127400 129430 129640 136955 137200 139363 142688 147490 147920 150475 156520 158809 159014 159272 162050 168259 168532 168560 178360 181202 181496 184900 185200 191737 192296 192608 195650 199090 207088 210665 210700 219128 222950 223600 226870 235984 240370 240760 240800 254800 258817 258860 259280 273910 274400 278726 294931 294980 295840 300950 313040 317618 318028 318544 323575 324100 336518 337064 337120 356720 362404 362992 368725 369800 370400 383474 384592 391300 397535 398180 414176 421330 421400 438256 445900 447200 453005 453740 471968 480740 481520 497725 509600 517634 517720 518560 547820 556549 557452 567175 589862 589960 600925 601900 626080 634207 635236 636056 637088 647150 648200 673036 674128 684775 696815 713440 724808 725984 737450 739600 766948 769184 782600 794045 795070 796360 841295 842660 842800 856087 876512 891800 906010 907480 958685 961480 963040 975541 995450 1033591 1035268 1035440 1053325 1095640 1113098 1114904 1134350 1177813 1179724 1179920 1201850 1203800 1268414 1270472 1272112 1294085 1294300 1296400 1346072 1348256 1369550 1393630 1449616 1474655 1474900 1479200 1533896 1565200 1588090 1590140 1592720 1682590 1685320 1685600 1712174 1783600 1811719 1812020 1814960 1917370 1922960 1951082 1987675 1990900 2064517 2067182 2070536 2070880 2106650 2191280 2226196 2229808 2265025 2268700 2355626 2359448 2359840 2403700 2407600 2536828 2540944 2544224 2588170 2588600 2592800 2692144 2739100 2782745 2787260 2899232 2949310 2949800 3067792 3130400 3171035 3176180 3180280 3185440 3365180 3370640 3424348 3484075 3567200 3623438 3624040 3629920 3834740 3845920 3895843 3902164 3970225 3975350 3981800 4129034 4134364 4141072 4206475 4213300 4280435 4382560 4452392 4459616 4530050 4537400 4711252 4718896 4793425 4807400 4815200 4877705 5073656 5081888 5167955 5176340 5177200 5384288 5478200 5565490 5574520 5889065 5898620 5899600 5992609 6135584 6342070 6352360 6360560 6470425 6730360 6741280 6828787 6848696 6968150 7235137 7246876 7248080 7373275 7669480 7791686 7804328 7940450 7950700 7963600 8244691 8258068 8268728 8282144 8412950 8426600 8560870 8904784 9058595 9060100 9074800 9422504 9437792 9586850 9614800 9755410 10147312 10322585 10335910 10352680 10354400 10956400 11129131 11130980 11149040 11778130 11797240 11799200 11985218 12682033 12684140 12704720 12721120 12940850 13460720 13657574 13697392 13913725 13936300 14470274 14493752 14496160 14746550 15338960 15583372 15608656 15855175 15880900 15901400 15927200 16489382 16516136 16537456 16825900 16853200 17121740 17809568 18117190 18120200 18149600 18845008 19173700 19229600 19479215 19510820 20294624 20645170 20671820 20705360 21402175 21912800 22258262 22261960 22298080 23556260 23594480 23970436 24388525 25364066 25368280 25409440 25839775 25881700 26921440 27270901 27315148 27394784 27827450 27872600 28940548 28987504 29445325 29493100 29963045 30677920 31166744 31217312 31710350 31761800 31802800 32978764 33032272 33074912 33651800 33706400 34143935 34243480 36175685 36234380 36240400 36811741 37690016 38347400 38958430 39021640 41223455 41290340 41343640 41410720 41948263 42804350 44516524 44523920 45292975 47112520 47188960 47940872 48777050 50645959 50728132 50736560 51612925 51679550 51763400 54541802 54630296 55645655 55654900 55745200 57881096 57975008 58890650 58986200 59926090 62333488 63410165 63420700 63523600 63605600 65957528 66064544 67303600 68287870 68486960 72351370 72468760 72480800 73623482 76694800 77903917 77916860 78043280 82446910 82580680 82687280 83896526 85608700 88774231 89033048 89047840 90585950 94225040 95881744 97396075 97554100 101291918 101456264 101473120 103225850 103359100 103526800 109083604 109260592 111291310 111309800 111490400 115762192 117781300 117972400 119852180 124666976 126820330 126841400 127047200 131915056 134607200 136354505 136575740 136973920 144702740 144937520 147246964 149815225 153389600 155807834 155833720 156086560 164893820 165161360 165374560 167793052 170719675 171217400 177548462 178066096 180878425 181171900 184058705 188450080 191763488 194792150 195108200 202583836 202912528 206117275 206451700 206718200 207053600 209741315 218167208 218521184 222582620 222619600 231524384 235562600 235944800 239704360 253229795 253640660 253682800 257682187 263830112 272709010 273151480 278228275 289405480 289875040 293637841 294493928 299630450 311615668 311667440 317050825 329787640 330322720 335586104 341439350 342434800 354521713 355096924 356132192 361756850 362343800 368117410 389519585 389584300 390216400 405167672 405825056 412234550 412903400 413436400 419482630 436334416 443871155 445165240 445239200 471125200 478552633 479408720 506459590 507281320 507365600 515364374 545327419 545418020 546302960 556456550 578810960 587275682 588987856 599260900 623231336 623334880 634101650 659575280 671172208 681772525 682878700 684869600 709043426 710193848 723513700 724687600 736234820 779039170 779168600 780432800 810335344 824469100 825806800 826872800 838965260 872668832 887742310 890330480 920293525 942250400 957105266 958817440 1012919180 1014562640 1030728748 1048706575 1090654838 1090836040 1092605920 1112913100 1157621920 1174551364 1177975712 1198521800 1246462672 1266148975 1268203300 1288410935 1319150560 1342344416 1363545050 1365757400 1418086852 1420387696 1447027400 1449375200 1468189205 1472469640 1558078340 1558337200 1620670688 1648938200 1651613600 1677930520 1772608565 1775484620 1780660960 1803775309 1840587050 1914210532 1947597925 2025838360 2029125280 2061457496 2097413150 2181309676 2181672080 2219355775 2225826200 2349102728 2392763165 2397043600 2492925344 2532297950 2536406600 2576821870 2726637095 2727090100 2731514800 2836173704 2840775392 2894054800 2936378410 2944939280 3116156680 3116674400 3297876400 3349868431 3355861040 3545217130 3550969240 3607550618 3681174100 3817291933 3828421064 3895195850 4051676720 4122914992 4194826300 4362619352 4363344160 4438711550 4451652400 4698205456 4785526330 4794087200 5064595900 5072813200 5153643740 5453274190 5454180200 5463029600 5672347408 5788109600 5872756820 5889878560 6232313360 6442054675 6595752800 6699736862 6711722080 7090434260 7101938480 7215101236 7340946025 7362348200 7634583866 7656842128 7790391700 8103353440 8245829984 8389652600 8725238704 8863042825 8877423100 8903304800 9018876545 9396410912 9571052660 10129191800 10145626400 10307287480 10906548380 10908360400 11344694816 11745513640 11963815825 12464626720 12626427163 12884109350 13399473724 13633185475 14180868520 14203876960 14430202472 14681892050 14724696400 15269167732 15313684256 15580783400 16749342155 16779305200 17450477408 17726085650 17754846200 18037753090 19086459665 19142105320 20258383600 20614574960 21813096760 21816720800 23449079017 23491027280 23927631650 25252854326 25768218700 26798947448 27266370950 28361737040 28860404944 29363784100 29449392800 30538335464 31161566800 33498684310 33558610400 35452171300 35509692400 36075506180 38172919330 38284210640 40516767200 41229149920 43626193520 45094382725 46898158034 46982054560 47855263300 50505708652 51536437400 53597894896 54532741900 56723474080 57720809888 58727568200 61076670928 62323133600 63132135815 66997368620 70904342600 71019384800 72151012360 76345838660 76568421280 83746710775 87252387040 90188765450 93796316068 95432298325 95710526600 101011417304 103072874800 107195789792 109065483800 117245395085 117455136400 122153341856 126264271630 133994737240 141808685200 144302024720 152691677320 164143553119 167493421550 180377530900 187592632136 190864596650 191421053200 202022834608 206145749600 218130967600 234490790170 234910272800 252528543260 267989474480 283617370400 288604049440 305383354640 315660679075 328287106238 334986843100 360755061800 375185264272 381729193300 382842106400 404045669216 436261935200 468981580340 505057086520 535978948960 586226975425 610766709280 631321358150 656574212476 669973686200 721510123600 750370528544 763458386600 820717765595 937963160680 1010114173040 1172453950850 1262642716300 1313148424952 1339947372400 1443020247200 1526916773200 1641435531190 1875926321360 2020228346080 2344907901700 2525285432600 2626296849904 2679894744800 3053833546400 3282871062380 3751852642720 4103588827975 4689815803400 5050570865200 5252593699808 6565742124760 8207177655950 9379631606800 10101141730400 13131484249520 16414355311900 18759263213600 26262968499040 32828710623800 65657421247600 131314842495200
- Sum of all divisors σ(n): 413078561280000
- Sum of proper divisors (its aliquot sum) s(n): 281763718784800
- 131314842495200 is an abundant number, because the sum of its proper divisors (281763718784800) is greater than itself. Its abundance is 150448876289600
Bases of 131314842495200
- Binary: 111011101101110000111101000101001101000111000002
- Hexadecimal: 0x776E1E8A68E0
- Base-36: 1AJP7ERTNK
Squares and roots of 131314842495200
- 131314842495200 squared (1313148424952002) is 17243587859539183762023040000
- 131314842495200 cubed (1313148424952003) is 2264339023827530816562824896913489408000000
-
The
square root of 131314842495200 is 11459268.8464491485 -
The
cube root of 131314842495200 is 50828.1854376395
Scales and comparisons
How big is 131314842495200?- 131,314,842,495,200 seconds is equal to 4,175,405 years, 42 weeks, 1 hour, 33 minutes, 20 seconds.
-
To count from 1 to 131,314,842,495,200 would take you about ten million, four hundred thirty-eight thousand, five hundred fourteen 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 131314842495200 cubic inches would be around 4235.7 feet tall.
Recreational maths with 131314842495200
- 131314842495200 backwards is 002594248413131
- The number of decimal digits it has is: 15
- The sum of 131314842495200's digits is 47
- More coming soon!
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The information we have on file for 131314842495200 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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