131668689672000
131,668,689,672,000 is an even composite number composed of seven prime numbers multiplied together.
131668689672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 131668689672000:
26 × 33 × 53 × 13 × 127 × 421 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 127 × 421 × 877)See below for interesting mathematical facts about the number 131668689672000 from the Numbermatics database.
Names of 131668689672000
- Cardinal: 131668689672000 can be written as One hundred thirty-one trillion, six hundred sixty-eight billion, six hundred eighty-nine million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.31668689672 × 1014
Factors of 131668689672000
Divisors of 131668689672000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 125 127 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 250 254 260 270 288 300 312 320 325 351 360 375 381 390 400 416 421 432 450 468 480 500 508 520 540 576 585 600 624 635 650 675 702 720 750 762 780 800 832 842 864 877 900 936 960 975 1000 1016 1040 1080 1125 1143 1170 1200 1248 1263 1270 1300 1350 1404 1440 1500 1524 1560 1600 1625 1651 1684 1728 1754 1755 1800 1872 1905 1950 2000 2032 2080 2105 2160 2250 2286 2340 2400 2496 2526 2540 2600 2631 2700 2808 2880 2925 3000 3048 3120 3175 3250 3302 3368 3375 3429 3508 3510 3600 3744 3789 3810 3900 4000 4064 4160 4210 4320 4385 4500 4572 4680 4800 4875 4953 5052 5080 5200 5262 5400 5473 5616 5715 5850 6000 6096 6240 6315 6350 6500 6604 6736 6750 6858 7016 7020 7200 7488 7578 7620 7800 7893 8000 8128 8255 8420 8640 8770 8775 9000 9144 9360 9525 9750 9906 10104 10160 10400 10524 10525 10800 10946 11232 11367 11401 11430 11700 12000 12192 12480 12630 12700 13000 13155 13208 13472 13500 13716 14032 14040 14400 14625 14859 15156 15240 15600 15786 15875 16419 16510 16840 17145 17540 17550 18000 18288 18720 18945 19050 19500 19812 20208 20320 20800 21048 21050 21600 21892 21925 22464 22734 22802 22860 23400 23679 24000 24384 24765 25260 25400 26000 26310 26416 26944 27000 27365 27432 28064 28080 28575 29250 29718 30312 30480 31200 31572 31575 31750 32838 33020 33680 34203 34290 35080 35100 36000 36576 37440 37890 38100 39000 39465 39624 40416 40640 41275 42096 42100 43200 43784 43850 43875 44577 45468 45604 45720 46800 47358 47625 49257 49530 50520 50800 52000 52620 52625 52832 53467 54000 54730 54864 56128 56160 56835 57005 57150 58500 59436 60624 60960 62400 63144 63150 63500 65676 65775 66040 67360 68406 68580 70160 70200 72000 73152 74295 75780 76200 78000 78930 79248 80832 82095 82550 84192 84200 85725 87568 87700 87750 89154 90936 91208 91440 93600 94716 94725 95250 98514 99060 101040 101600 102609 104000 105240 105250 105664 106934 108000 109460 109625 109728 111379 112320 113670 114010 114300 117000 118395 118872 121248 121920 123825 126288 126300 127000 131352 131550 132080 134720 136812 136825 137160 140320 140400 142875 147771 148590 151560 152400 156000 157860 157875 158496 160401 164190 165100 168384 168400 171015 171450 175136 175400 175500 178308 181872 182416 182880 187200 189432 189450 190500 197028 197325 198120 202080 203200 205218 206375 210480 210500 213868 216000 218920 219250 219456 222758 222885 227340 228020 228600 234000 236790 237744 242496 246285 247650 252576 252600 254000 262704 263100 264160 267335 273624 273650 274320 280640 280800 284175 285025 285750 295542 297180 303120 304800 307827 312000 315720 315750 316992 320802 328380 328875 330200 334137 336800 342030 342900 350272 350800 351000 356616 363744 364832 365760 369217 371475 378864 378900 381000 394056 394650 396240 404160 410436 410475 412750 420960 421000 427736 428625 437840 438500 445516 445770 454680 456040 457200 468000 473580 473625 475488 481203 492570 495300 505152 505200 508000 513045 525408 526200 528320 534670 547248 547300 548640 556895 561600 568350 570050 571500 591084 591975 594360 606240 609600 615654 619125 631440 631500 641604 656760 657750 660400 668274 673600 684060 684125 685800 695071 701600 702000 713232 727488 729664 738434 738855 742950 757728 757800 762000 788112 789300 792480 802005 820872 820950 825500 841920 842000 855075 855472 857250 875680 877000 891032 891540 909360 912080 914400 936000 947160 947250 950976 962406 985140 986625 990600 1002411 1010400 1016000 1026090 1050816 1052400 1069340 1094496 1094600 1097280 1107651 1113790 1114425 1136700 1140100 1143000 1182168 1183950 1188720 1212480 1231308 1231425 1238250 1262880 1263000 1283208 1313520 1315500 1320800 1336548 1336675 1368120 1368250 1371600 1390142 1403200 1404000 1420875 1425125 1426464 1443609 1447927 1476868 1477710 1485900 1515456 1515600 1524000 1539135 1576224 1578600 1584960 1604010 1641744 1641900 1651000 1670685 1684000 1710150 1710944 1714500 1751360 1754000 1782064 1783080 1818720 1824160 1828800 1846085 1857375 1894320 1894500 1924812 1970280 1973250 1981200 2004822 2020800 2052180 2052375 2085213 2104800 2138680 2188992 2189200 2215302 2227580 2228850 2273400 2280200 2286000 2364336 2367900 2377440 2406015 2462616 2462850 2476500 2525760 2526000 2565225 2566416 2627040 2631000 2641600 2673096 2673350 2736240 2736500 2743200 2780284 2784475 2808000 2841750 2850250 2852928 2887218 2895854 2953736 2955420 2959875 2971800 3007233 3031200 3048000 3078270 3152448 3157200 3208020 3283488 3283800 3302000 3322953 3341370 3368000 3420300 3421888 3429000 3475355 3508000 3564128 3566160 3637440 3648320 3692170 3694275 3714750 3788640 3789000 3849624 3940560 3946500 3962400 4009644 4010025 4104360 4104750 4170426 4209600 4275375 4277360 4343781 4378400 4430604 4455160 4457700 4546800 4560400 4572000 4728672 4735800 4754880 4799821 4812030 4925232 4925700 4953000 5012055 5052000 5130450 5132832 5254080 5262000 5346192 5346700 5472480 5473000 5486400 5538255 5560568 5568950 5572125 5683500 5700500 5774436 5791708 5907472 5910840 5919750 5943600 6014466 6062400 6156540 6157125 6255639 6314400 6416040 6566976 6567600 6604000 6645906 6682740 6683375 6840600 6858000 6950710 7016000 7128256 7132320 7218045 7239635 7384340 7388550 7429500 7577280 7578000 7695675 7699248 7881120 7893000 7924800 8019288 8020050 8208720 8209500 8340852 8353425 8550750 8554720 8687562 8756800 8861208 8910320 8915400 9093600 9120800 9144000 9230425 9457344 9471600 9599642 9624060 9850464 9851400 9906000 9968859 10024110 10104000 10260900 10265664 10426065 10524000 10692384 10693400 10944960 10946000 11076510 11121136 11137900 11144250 11367000 11401000 11548872 11583416 11814944 11821680 11839500 11887200 12028932 12030075 12313080 12314250 12511278 12628800 12826125 12832080 13031343 13135200 13208000 13291812 13365480 13366750 13681200 13716000 13901420 13922375 14264640 14399463 14436090 14479270 14768680 14777100 14859000 15036165 15156000 15391350 15398496 15762240 15786000 16038576 16040100 16417440 16419000 16614765 16681704 16706850 17101500 17109440 17375124 17376775 17722416 17820640 17830800 18187200 18241600 18460850 18471375 18766917 18943200 19199284 19248120 19700928 19702800 19812000 19937718 20048220 20050125 20521800 20852130 21048000 21384768 21386800 21718905 21892000 22153020 22242272 22275800 22288500 22734000 22802000 23097744 23166832 23629888 23643360 23679000 23774400 23999105 24057864 24060150 24626160 24628500 25022556 25060275 25652250 25664160 26062686 26270400 26583624 26730960 26733500 27362400 27432000 27691275 27802840 27844750 28798926 28872180 28958540 29537360 29554200 29718000 30072330 30312000 30782700 30796992 31278195 31572000 32077152 32080200 32834880 32838000 33229530 33363408 33413700 34203000 34750248 34753550 35444832 35641280 35661600 36090225 36198175 36921700 36942750 37533834 37886400 38398568 38478375 38496240 39094029 39405600 39624000 39875436 40096440 40100250 41043600 41704260 41767125 42773600 43198389 43437810 43784000 44306040 44484544 44551600 44577000 45468000 45604000 46152125 46195488 46333664 46890559 47286720 47358000 47998210 48115728 48120300 49252320 49257000 49844295 50045112 50120550 51304500 51328320 52125372 52130325 53167248 53461920 53467000 54724800 55382550 55605680 55689500 57597852 57744360 57917080 59074720 59108400 59436000 60144660 60150375 61565400 62556390 63144000 64154304 64160400 65156715 65676000 66459060 66726816 66827400 68406000 69500496 69507100 70889664 71323200 71997315 72180450 72396350 73843400 73885500 75067668 75180825 76797136 76956750 76992480 78188058 78811200 79750872 80192880 80200500 82087200 83073825 83408520 83534250 85547200 86396778 86875620 86883875 88612080 89103200 89154000 90936000 91208000 92304250 92390976 92667328 93781118 93834585 94716000 95996420 96231456 96240600 98504640 98514000 99688590 100090224 100241100 102609000 104250744 104260650 106334496 106923840 106934000 108594525 110765100 111211360 111379000 115195704 115488720 115834160 118149440 118216800 118872000 119995525 120289320 120300750 123130800 125112780 125301375 128320800 129595167 130313430 131352000 132918120 133453632 133654800 136812000 138456375 139000992 139014200 140671677 143994630 144360900 144792700 147686800 147771000 150135336 150361650 153594272 153913500 153984960 156376116 156390975 159501744 160385760 160401000 164174400 166147650 166817040 167068500 172793556 173751240 173767750 177224160 178206400 178308000 180451125 180990875 184608500 187562236 187669170 189432000 191992840 192462912 192481200 195470145 197028000 199377180 200180448 200482200 205218000 208501488 208521300 212668992 213868000 215991945 217189050 221530200 222422720 222758000 230391408 230977440 231668320 234452795 236433600 239991050 240578640 240601500 246261600 249221475 250225560 250602750 256641600 259190334 260626860 260651625 265836240 267309600 273624000 276912750 278001984 278028400 281343354 287989260 288721800 289585400 295373600 295542000 300270672 300723300 307188544 307827000 312752232 312781950 319003488 320771520 320802000 325783575 332295300 333634080 334137000 345587112 347502480 347535500 354448320 356616000 359986575 360902250 361981750 369217000 375124472 375338340 375904125 383985680 384962400 390940290 394056000 398754360 400360896 400964400 410436000 415369125 417002976 417042600 422015031 427736000 431983890 434378100 443060400 445516000 460782816 461954880 463336640 468905590 469172925 479982100 481157280 481203000 492523200 498442950 500451120 501205500 518380668 521253720 521303250 531672480 534619200 542972625 553825500 556056800 562686708 575978520 577443600 579170800 590747200 591084000 599977625 600541344 601446600 609577267 615654000 625504464 625563900 638006976 641604000 647975835 651567150 664590600 667268160 668274000 691174224 695004960 695071000 703358385 719973150 721804500 723963500 738434000 750248944 750676680 751808250 767971360 769924800 781880580 781954875 797508720 801928800 820872000 830738250 834005952 834085200 844030062 863967780 868756200 886120800 891032000 921565632 937811180 938345850 959964200 962314560 962406000 977350725 996885900 1000902240 1002411000 1036761336 1042507440 1042606500 1063344960 1079959725 1085945250 1107651000 1112113600 1125373416 1151957040 1154887200 1158341600 1172263975 1182168000 1199955250 1201082688 1202893200 1219154534 1231308000 1246107375 1251008928 1251127800 1266045093 1283208000 1295951670 1303134300 1329181200 1336548000 1382348448 1390009920 1390142000 1406716770 1439946300 1443609000 1447927000 1476868000 1500497888 1501353360 1503616500 1535942720 1563761160 1563909750 1595017440 1603857600 1628917875 1661476500 1668170400 1688060124 1727935560 1737512400 1772241600 1799932875 1828731801 1875622360 1876691700 1919928400 1924812000 1954701450 1993771800 2001804480 2004822000 2073522672 2085014880 2085213000 2110075155 2159919450 2171890500 2215302000 2250746832 2303914080 2309774400 2316683200 2344527950 2345864625 2399910500 2405786400 2438309068 2462616000 2492214750 2502017856 2502255600 2532090186 2591903340 2606268600 2658362400 2673096000 2764696896 2780284000 2813433540 2879892600 2887218000 2895854000 2953736000 3000995776 3002706720 3007233000 3047886335 3127522320 3127819500 3190034880 3239879175 3257835750 3322953000 3336340800 3376120248 3455871120 3475024800 3516791925 3599865750 3657463602 3751244720 3753383400 3839856800 3849624000 3909402900 3987543600 4009644000 4147045344 4170029760 4170426000 4220150310 4319838900 4343781000 4430604000 4501493664 4607828160 4689055900 4691729250 4799821000 4811572800 4876618136 4886753625 4984429500 5004511200 5064180372 5183806680 5212537200 5316724800 5399798625 5486195403 5560568000 5626867080 5759785200 5774436000 5791708000 5861319875 6005413440 6014466000 6095772670 6255044640 6255639000 6330225465 6479758350 6515671500 6645906000 6752240496 6911742240 6950049600 7033583850 7199731500 7314927204 7502489440 7506766800 7679713600 7818805800 7975087200 8019288000 8294090688 8340852000 8440300620 8639677800 8687562000 8861208000 9002987328 9143659005 9378111800 9383458500 9599642000 9753236272 9773507250 9968859000 10009022400 10128360744 10367613360 10425074400 10550375775 10799597250 10972390806 11253734160 11519570400 11548872000 11583416000 11722639750 12028932000 12191545340 12510089280 12511278000 12660450930 12959516700 13031343000 13291812000 13504480992 13823484480 14067167700 14399463000 14629854408 15004978880 15013533600 15239431675 15637611600 15950174400 16199395875 16458586209 16681704000 16880601240 17279355600 17375124000 17583959625 18287318010 18756223600 18766917000 19199284000 19506472544 19547014500 19937718000 20256721488 20735226720 20850148800 21100751550 21599194500 21944781612 22507468320 23039140800 23445279500 24057864000 24383090680 25022556000 25320901860 25919033400 26062686000 26583624000 27008961984 27430977015 28134335400 28798926000 29259708816 30027067200 30478863350 31275223200 31651127325 32398791750 32917172418 33761202480 34558711200 34750248000 35167919250 36574636020 37512447200 37533834000 38398568000 39012945088 39094029000 39875436000 40513442976 41470453440 42201503100 43198389000 43889563224 45014936640 45718295025 46890559000 48766181360 50045112000 50641803720 51838066800 52125372000 52751878875 54861954030 56268670800 57597852000 58519417632 60957726700 62550446400 63302254650 64797583500 65834344836 67522404960 69117422400 70335838500 73149272040 75024894400 75067668000 76197158375 78188058000 79750872000 81026885952 82292931045 84403006200 86396778000 87779126448 91436590050 93781118000 97532362720 101283607440 103676133600 104250744000 105503757750 109723908060 112537341600 115195704000 117038835264 121915453400 126604509300 129595167000 131668689672 135044809920 137154885075 140671677000 146298544080 150135336000 152394316750 156376116000 158255636625 164585862090 168806012400 172793556000 175558252896 182873180100 187562236000 195064725440 202567214880 207352267200 211007515500 219447816120 225074683200 228591475125 243830906800 253209018600 259190334000 263337379344 274309770150 281343354000 292597088160 304788633500 312752232000 316511273250 329171724180 337612024800 345587112000 351116505792 365746360200 375124472000 405134429760 411464655225 422015031000 438895632240 457182950250 487661813600 506418037200 518380668000 526674758688 548619540300 562686708000 585194176320 609577267000 633022546500 658343448360 675224049600 685774425375 731492720400 822929310450 844030062000 877791264480 914365900500 975323627200 1012836074400 1036761336000 1053349517376 1097239080600 1125373416000 1219154534000 1266045093000 1316686896720 1371548850750 1462985440800 1645858620900 1688060124000 1755582528960 1828731801000 2025672148800 2057323276125 2194478161200 2438309068000 2532090186000 2633373793440 2743097701500 2925970881600 3291717241800 3376120248000 3657463602000 4114646552250 4388956322400 4876618136000 5064180372000 5266747586880 5486195403000 6583434483600 7314927204000 8229293104500 8777912644800 10128360744000 10972390806000 13166868967200 14629854408000 16458586209000 21944781612000 26333737934400 32917172418000 43889563224000 65834344836000 131668689672000
- Sum of all divisors σ(n): 526178723266560
- Sum of proper divisors (its aliquot sum) s(n): 394510033594560
- 131668689672000 is an abundant number, because the sum of its proper divisors (394510033594560) is greater than itself. Its abundance is 262841343922560
Bases of 131668689672000
- Binary: 111011111000000100000010111100111010111010000002
- Hexadecimal: 0x77C08179D740
- Base-36: 1AO7RE8UO0
Squares and roots of 131668689672000
- 131668689672000 squared (1316686896720002) is 17336643839941439467584000000
- 131668689672000 cubed (1316686896720003) is 2282693177715239831910290599592448000000000
-
The
square root of 131668689672000 is 11474697.8030796087 -
The
cube root of 131668689672000 is 50873.7991675625
Scales and comparisons
How big is 131668689672000?- 131,668,689,672,000 seconds is equal to 4,186,657 years, 2 weeks, 5 days, 12 hours.
-
To count from 1 to 131,668,689,672,000 would take you about ten million, four hundred sixty-six thousand, six hundred forty-two 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 131668689672000 cubic inches would be around 4239.5 feet tall.
Recreational maths with 131668689672000
- 131668689672000 backwards is 000276986866131
- The number of decimal digits it has is: 15
- The sum of 131668689672000's digits is 63
- More coming soon!
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The information we have on file for 131668689672000 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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