131972976352000
131,972,976,352,000 is an even composite number composed of five prime numbers multiplied together.
131972976352000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 131972976352000:
28 × 53 × 73 × 17 × 294
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 131972976352000 from the Numbermatics database.
Names of 131972976352000
- Cardinal: 131972976352000 can be written as One hundred thirty-one trillion, nine hundred seventy-two billion, nine hundred seventy-six million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.31972976352 × 1014
Factors of 131972976352000
Divisors of 131972976352000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 64 68 70 80 85 98 100 112 116 119 125 128 136 140 145 160 170 175 196 200 203 224 232 238 245 250 256 272 280 290 320 340 343 350 392 400 406 425 448 464 476 490 493 500 544 560 580 595 640 680 686 700 725 784 800 812 833 841 850 875 896 928 952 980 986 1000 1015 1088 1120 1160 1190 1225 1280 1360 1372 1400 1421 1450 1568 1600 1624 1666 1682 1700 1715 1750 1792 1856 1904 1960 1972 2000 2030 2125 2176 2240 2320 2380 2450 2465 2720 2744 2800 2842 2900 2975 3136 3200 3248 3332 3364 3400 3430 3451 3500 3625 3712 3808 3920 3944 4000 4060 4165 4205 4250 4352 4480 4640 4760 4900 4930 5075 5440 5488 5600 5684 5800 5831 5887 5950 6125 6272 6400 6496 6664 6728 6800 6860 6902 7000 7105 7250 7424 7616 7840 7888 8000 8120 8330 8410 8500 8575 8960 9280 9520 9800 9860 9947 10150 10880 10976 11200 11368 11600 11662 11774 11900 12250 12325 12544 12992 13328 13456 13600 13720 13804 14000 14210 14297 14500 14875 15232 15680 15776 16000 16240 16660 16820 17000 17150 17255 18560 19040 19600 19720 19894 20300 20825 21025 21760 21952 22400 22736 23200 23324 23548 23800 24157 24389 24500 24650 25375 25984 26656 26912 27200 27440 27608 28000 28420 28594 29000 29155 29435 29750 30464 31360 31552 32000 32480 33320 33640 34000 34300 34510 35525 37120 38080 39200 39440 39788 40600 41209 41650 42050 42875 43904 44800 45472 46400 46648 47096 47600 48314 48778 49000 49300 49735 50750 51968 53312 53824 54400 54880 55216 56000 56840 57188 58000 58310 58870 59500 61625 62720 63104 64960 66640 67280 68000 68600 69020 71050 71485 76160 78400 78880 79576 81200 82418 83300 84100 85750 86275 87808 90944 92800 93296 94192 95200 96628 97556 98000 98600 99470 100079 101500 104125 105125 106624 107648 108800 109760 110432 112000 113680 114376 116000 116620 117740 119000 120785 121945 123250 126208 129920 133280 134560 136000 137200 138040 142100 142970 145775 147175 152320 156800 157760 159152 162400 164836 166600 168200 169099 170723 171500 172550 177625 181888 185600 186592 188384 190400 193256 195112 196000 197200 198940 200158 203000 206045 208250 210250 213248 215296 219520 220864 224000 227360 228752 232000 233240 235480 238000 241570 243890 246500 248675 259840 266560 269120 272000 274400 276080 284200 285940 288463 291550 294350 313600 315520 318304 324800 329672 333200 336400 338198 341446 343000 345100 355250 357425 363776 373184 376768 380800 386512 390224 392000 394400 397880 400316 406000 412090 414613 416500 420500 431375 439040 441728 454720 457504 464000 466480 470960 476000 483140 487780 493000 497350 500395 533120 538240 544000 548800 552160 568400 571880 576926 583100 588700 603925 609725 631040 636608 649600 659344 666400 672800 676396 682892 686000 690200 700553 707281 710500 714850 728875 735875 746368 753536 761600 773024 780448 784000 788800 795760 800632 812000 824180 829226 833000 841000 845495 853615 862750 883456 909440 915008 928000 932960 941920 952000 966280 975560 986000 994700 1000790 1030225 1066240 1076480 1097600 1104320 1136800 1143760 1153852 1166200 1177400 1195061 1207850 1219450 1243375 1273216 1299200 1318688 1332800 1345600 1352792 1365784 1372000 1380400 1401106 1414562 1421000 1429700 1442315 1457750 1471750 1492736 1507072 1546048 1560896 1568000 1577600 1591520 1601264 1624000 1648360 1658452 1666000 1682000 1690990 1707230 1725500 1787125 1818880 1830016 1865920 1883840 1904000 1932560 1951120 1972000 1989400 2001580 2060450 2073065 2195200 2208640 2273600 2287520 2307704 2332400 2354800 2390122 2415700 2438900 2486750 2501975 2546432 2637376 2665600 2691200 2705584 2731568 2744000 2760800 2802212 2829124 2842000 2859400 2884630 2902291 2915500 2943500 3019625 3048625 3092096 3121792 3155200 3183040 3202528 3248000 3296720 3316904 3332000 3364000 3381980 3414460 3451000 3502765 3536405 3574250 3660032 3731840 3767680 3808000 3865120 3902240 3944000 3978800 4003160 4120900 4146130 4227475 4268075 4417280 4547200 4575040 4615408 4664800 4709600 4780244 4831400 4877800 4903871 4950967 4973500 5003950 5151125 5274752 5331200 5382400 5411168 5463136 5488000 5521600 5604424 5658248 5684000 5718800 5769260 5804582 5831000 5887000 5975305 6039250 6097250 6184192 6243584 6366080 6405056 6496000 6593440 6633808 6664000 6728000 6763960 6828920 6902000 7005530 7072810 7148500 7211575 7463680 7535360 7730240 7804480 7888000 7957600 8006320 8241800 8292260 8365427 8454950 8536150 9094400 9150080 9230816 9329600 9419200 9560488 9662800 9755600 9807742 9901934 9947000 10007900 10302250 10365325 10549504 10822336 10926272 10976000 11043200 11208848 11316496 11368000 11437600 11538520 11609164 11662000 11774000 11950610 12023777 12078500 12194500 12509875 12732160 12810112 13186880 13267616 13328000 13456000 13527920 13657840 13804000 14011060 14145620 14297000 14423150 14511455 15460480 15608960 15776000 15915200 16012640 16483600 16584520 16730854 16909900 17072300 17513825 17682025 18300160 18461632 18659200 18838400 19120976 19325600 19511200 19615484 19803868 19894000 20015800 20316037 20604500 20730650 21137375 21340375 21644672 21852544 22086400 22417696 22632992 22736000 22875200 23077040 23218328 23324000 23548000 23901220 24047554 24157000 24389000 24519355 24754835 25019750 25620224 26373760 26535232 26656000 26912000 27055840 27315680 27608000 28022120 28291240 28594000 28846300 29022910 29876525 30920960 31217920 31830400 32025280 32967200 33169040 33461708 33819800 34144600 34656769 35027650 35364050 36057875 36923264 37318400 37676800 38241952 38651200 39022400 39230968 39607736 39788000 40031600 40632074 41209000 41461300 41827135 42274750 42680750 43289344 43705088 44835392 45265984 45472000 45750400 46154080 46436656 46648000 47096000 47802440 48095108 48314000 48778000 49038710 49509670 50039500 51826625 52747520 53070464 54111680 54631360 55216000 56044240 56582480 57188000 57692600 58045820 59753050 60118885 63660800 64050560 65934400 66338080 66923416 67639600 68289200 69313538 70055300 70728100 72115750 72557275 73846528 76483904 77302400 78044800 78461936 79215472 79576000 80063200 81264148 82418000 82922600 83654270 84166439 84549500 85361500 87569125 88410125 89670784 90531968 91500800 92308160 92873312 93296000 94192000 95604880 96190216 96628000 97556000 98077420 99019340 100079000 101580185 103653250 106140928 108223360 109262720 110432000 112088480 113164960 114376000 115385200 116091640 119506100 120237770 122596775 123774175 128101120 131868800 132676160 133846832 135279200 136578400 138627076 140110600 141456200 142212259 144231500 145114550 149382625 152967808 154604800 156089600 156923872 158430944 159152000 160126400 162528296 164836000 165845200 167308540 168332878 169099000 170723000 173283845 175138250 176820250 179341568 181063936 184616320 185746624 186592000 188384000 191209760 192380432 193256000 195112000 196154840 198038680 200158000 203160370 207306500 209135675 216446720 218525440 224176960 226329920 228752000 230770400 232183280 239012200 240475540 242597383 245193550 247548350 263737600 265352320 267693664 270558400 273156800 277254152 280221200 282912400 284424518 288463000 290229100 298765250 300594425 305935616 313847744 316861888 318304000 320252800 325056592 329672000 331690400 334617080 336665756 338198000 341446000 346567690 350276500 353640500 362786375 369232640 371493248 382419520 384760864 386512000 390224000 392309680 396077360 400316000 406320740 414613000 418271350 420832195 448353920 452659840 457504000 461540800 464366560 478024400 480951080 485194766 490387100 495096700 507900925 530704640 535387328 541116800 546313600 554508304 560442400 565824800 568849036 576926000 580458200 589165073 597530500 601188850 612983875 618870875 627695488 633723776 640505600 650113184 659344000 663380800 669234160 673331512 676396000 682892000 693135380 700553000 707281000 711061295 725572750 742986496 764839040 769521728 773024000 780448000 784619360 792154720 800632000 812641480 829226000 836542700 841664390 866419225 896707840 905319680 923081600 928733120 956048800 961902160 970389532 980774200 990193400 1015801850 1045678375 1070774656 1082233600 1092627200 1109016608 1120884800 1131649600 1137698072 1153852000 1160916400 1178330146 1195061000 1202377700 1212986915 1225967750 1237741750 1255390976 1267447552 1300226368 1318688000 1326761600 1338468320 1346663024 1352792000 1365784000 1386270760 1401106000 1414562000 1422122590 1451145500 1502972125 1529678080 1539043456 1569238720 1584309440 1601264000 1625282960 1658452000 1673085400 1683328780 1732838450 1846163200 1857466240 1912097600 1923804320 1940779064 1961548400 1980386800 2031603700 2091356750 2104160975 2141549312 2218033216 2241769600 2263299200 2275396144 2307704000 2321832800 2356660292 2390122000 2404755400 2425973830 2451935500 2475483500 2539504625 2600452736 2653523200 2676936640 2693326048 2705584000 2731568000 2772541520 2802212000 2829124000 2844245180 2902291000 2945825365 3005944250 3078086912 3138477440 3168618880 3202528000 3250565920 3316904000 3346170800 3366657560 3465676900 3555306475 3714932480 3824195200 3847608640 3881558128 3923096800 3960773600 4063207400 4124155511 4182713500 4208321950 4332096125 4436066432 4483539200 4526598400 4550792288 4615408000 4643665600 4713320584 4780244000 4809510800 4851947660 4903871000 4950967000 5079009250 5200905472 5353873280 5386652096 5411168000 5463136000 5545083040 5604424000 5658248000 5688490360 5804582000 5891650730 6011888500 6064934575 6276954880 6337237760 6501131840 6633808000 6692341600 6733315120 6931353800 7110612950 7648390400 7695217280 7763116256 7846193600 7921547200 8126414800 8248311022 8365427000 8416643900 8664192250 8872132864 9101584576 9230816000 9287331200 9426641168 9560488000 9619021600 9703895320 9807742000 9901934000 10158018500 10520804875 10707746560 10773304192 11090166080 11208848000 11316496000 11376980720 11609164000 11783301460 12023777000 12129869150 13002263680 13267616000 13384683200 13466630240 13862707600 14221225900 14729126825 15390434560 15526232512 15692387200 15843094400 16252829600 16496622044 16730854000 16833287800 17328384500 17776532375 18203169152 18574662400 18853282336 19120976000 19238043200 19407790640 19615484000 19803868000 20316037000 20620777555 21041609750 21546608384 22180332160 22417696000 22632992000 22753961440 23218328000 23566602920 24047554000 24259738300 26004527360 26769366400 26933260480 27725415200 28442451800 29458253650 30324672875 31052465024 31384774400 31686188800 32505659200 32993244088 33461708000 33666575600 34656769000 35553064750 36406338304 37706564672 38241952000 38476086400 38815581280 39230968000 39607736000 40632074000 41241555110 42083219500 44360664320 45507922880 46436656000 47133205840 48095108000 48519476600 53538732800 53866520960 55450830400 56884903600 58916507300 60649345750 62104930048 65011318400 65986488176 66923416000 67333151200 69313538000 71106129500 73645634125 75413129344 76952172800 77631162560 78461936000 79215472000 81264148000 82483110220 84166439000 91015845760 92873312000 94266411680 96190216000 97038953200 103103887775 107733041920 110901660800 113769807200 117833014600 121298691500 130022636800 131972976352 133846832000 134666302400 138627076000 142212259000 147291268250 150826258688 155262325120 156923872000 158430944000 162528296000 164966220440 168332878000 182031691520 188532823360 192380432000 194077906400 206207775550 221803321600 227539614400 235666029200 242597383000 263945952704 267693664000 269332604800 277254152000 284424518000 294582536500 310524650240 325056592000 329932440880 336665756000 377065646720 384760864000 388155812800 412415551100 455079228800 471332058400 485194766000 515519438875 527891905408 538665209600 554508304000 568849036000 589165073000 650113184000 659864881760 673331512000 754131293440 776311625600 824831102200 910158457600 942664116800 970389532000 1031038877750 1055783810816 1109016608000 1137698072000 1178330146000 1319729763520 1346663024000 1552623251200 1649662204400 1885328233600 1940779064000 2062077755500 2275396144000 2356660292000 2639459527040 2693326048000 3299324408800 3770656467200 3881558128000 4124155511000 4550792288000 4713320584000 5278919054080 6598648817600 7763116256000 8248311022000 9426641168000 13197297635200 16496622044000 18853282336000 26394595270400 32993244088000 65986488176000 131972976352000
- Sum of all divisors σ(n): 420445716163200
- Sum of proper divisors (its aliquot sum) s(n): 288472739811200
- 131972976352000 is an abundant number, because the sum of its proper divisors (288472739811200) is greater than itself. Its abundance is 156499763459200
Bases of 131972976352000
- Binary: 111100000000111010110100110000000011011000000002
- Hexadecimal: 0x78075A601B00
- Base-36: 1AS3JQOFLS
Squares and roots of 131972976352000
- 131972976352000 squared (1319729763520002) is 17416866487205551227904000000
- 131972976352000 cubed (1319729763520003) is 2298555709041919522763299154526208000000000
-
The
square root of 131972976352000 is 11487949.1795533287 -
The
cube root of 131972976352000 is 50912.9588438447
Scales and comparisons
How big is 131972976352000?- 131,972,976,352,000 seconds is equal to 4,196,332 years, 22 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 131,972,976,352,000 would take you about ten million, four hundred ninety thousand, eight hundred thirty-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 131972976352000 cubic inches would be around 4242.7 feet tall.
Recreational maths with 131972976352000
- 131972976352000 backwards is 000253679279131
- The number of decimal digits it has is: 15
- The sum of 131972976352000's digits is 55
- More coming soon!
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The information we have on file for 131972976352000 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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