131771271906753214320
131,771,271,906,753,214,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131771271906753214320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
131771271906753214320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131771271906753214320:
24 × 32 × 5 × 13 × 59 × 14221 × 16778871233
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 59 × 14221 × 16778871233)See below for interesting mathematical facts about the number 131771271906753214320 from the Numbermatics database.
Names of 131771271906753214320
- Cardinal: 131771271906753214320 can be written as One hundred thirty-one quintillion, seven hundred seventy-one quadrillion, two hundred seventy-one trillion, nine hundred six billion, seven hundred fifty-three million, two hundred fourteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3177127190675321432 × 1020
Factors of 131771271906753214320
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 16778885536
Divisors of 131771271906753214320
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 59 60 65 72 78 80 90 104 117 118 120 130 144 156 177 180 195 208 234 236 240 260 295 312 354 360 390 468 472 520 531 585 590 624 708 720 767 780 885 936 944 1040 1062 1170 1180 1416 1534 1560 1770 1872 2124 2301 2340 2360 2655 2832 3068 3120 3540 3835 4248 4602 4680 4720 5310 6136 6903 7080 7670 8496 9204 9360 10620 11505 12272 13806 14160 14221 15340 18408 21240 23010 27612 28442 30680 34515 36816 42480 42663 46020 55224 56884 61360 69030 71105 85326 92040 110448 113768 127989 138060 142210 170652 184080 184873 213315 227536 255978 276120 284420 341304 369746 426630 511956 552240 554619 568840 639945 682608 739492 839039 853260 924365 1023912 1109238 1137680 1279890 1478984 1663857 1678078 1706520 1848730 2047824 2218476 2517117 2559780 2773095 2957968 3327714 3356156 3413040 3697460 4195195 4436952 5034234 5119560 5546190 6655428 6712312 7394920 7551351 8319285 8390390 8873904 10068468 10239120 10907507 11092380 12585585 13310856 13424624 14789840 15102702 16638570 16780780 20136936 21815014 22184760 25171170 26621712 30205404 32722521 33277140 33561560 37756755 40273872 43630028 44369520 50342340 54537535 60410808 65445042 66554280 67123120 75513510 87260056 98167563 100684680 109075070 120821616 130890084 133108560 151027020 163612605 174520112 196335126 201369360 218150140 261780168 302054040 327225210 392670252 436300280 490837815 523560336 604108080 654450420 785340504 872600560 981675630 1308900840 1570681008 1963351260 2617801680 3926702520 7853405040 16778871233 33557742466 50336613699 67115484932 83894356165 100673227398 134230969864 151009841097 167788712330 201346454796 218125326029 251683068495 268461939728 302019682194 335577424660 402692909592 436250652058 503366136990 604039364388 654375978087 671154849320 755049205485 805385819184 872501304116 989953402747 1006732273980 1090626630145 1208078728776 1308751956174 1342309698640 1510098410970 1745002608232 1963127934261 1979906805494 2013464547960 2181253260290 2416157457552 2617503912348 2969860208241 3020196821940 3271879890435 3490005216464 3926255868522 3959813610988 4026929095920 4362506520580 4949767013735 5235007824696 5939720416482 6040393643880 6543759780870 7852511737044 7919627221976 8725013041160 8909580624723 9815639671305 9899534027470 10470015649392 11879440832964 12080787287760 12869394235711 13087519561740 14849301041205 15705023474088 15839254443952 17450026082320 17819161249446 19631279342610 19799068054940 23758881665928 25738788471422 26175039123480 29698602082410 31410046948176 35638322498892 38608182707133 39262558685220 39598136109880 44547903123615 47517763331856 51477576942844 52350078246960 59397204164820 64346971178555 71276644997784 77216365414266 78525117370440 79196272219760 89095806247230 102955153885688 115824548121399 118794408329640 128693942357110 142553289995568 154432730828532 157050234740880 178191612494460 193040913535665 205910307771376 231649096242798 237588816659280 238612327804493 257387884714220 308865461657064 356383224988920 386081827071330 463298192485596 477224655608986 514775769428440 579122740606995 617730923314128 712766449977840 715836983413479 772163654142660 926596384971192 954449311217972 1029551538856880 1158245481213990 1193061639022465 1431673966826958 1544327308285320 1853192769942384 1908898622435944 2147510950240437 2316490962427980 2386123278044930 2863347933653916 3088654616570640 3101960261458409 3579184917067395 3817797244871888 4295021900480874 4632981924855960 4772246556089860 5726695867307832 6203920522916818 7158369834134790 8590043800961748 9265963849711920 9305880784375227 9544493112179720 10737554751202185 11453391734615664 12407841045833636 14078127340465087 14316739668269580 15509801307292045 17180087601923496 18611761568750454 19088986224359440 21475109502404370 24815682091667272 27917642353125681 28156254680930174 28633479336539160 31019602614584090 34360175203846992 37223523137500908 42234382021395261 42950219004808740 46529403921876135 49631364183334544 55835284706251362 56312509361860348 57266958673078320 62039205229168180 70390636702325435 74447046275001816 84468764042790522 85900438009617480 93058807843752270 111670569412502724 112625018723720696 124078410458336360 126703146064185783 139588211765628405 140781273404650870 148894092550003632 168937528085581044 171800876019234960 183015655426046131 186117615687504540 211171910106976305 223341138825005448 225250037447441392 248156820916672720 253406292128371566 279176423531256810 281562546809301740 337875056171162088 366031310852092262 372235231375009080 422343820213952610 446682277650010896 506812584256743132 549046966278138393 558352847062513620 563125093618603480 633515730320928915 675750112342324176 732062621704184524 744470462750018160 844687640427905220 915078277130230655 1013625168513486264 1098093932556276786 1116705694125027240 1126250187237206960 1267031460641857830 1464125243408369048 1647140898834415179 1689375280855810440 1830156554260461310 2027250337026972528 2196187865112553572 2233411388250054480 2534062921283715660 2745234831390691965 2928250486816738096 3294281797668830358 3378750561711620880 3660313108520922620 4392375730225107144 5068125842567431320 5490469662781383930 6588563595337660716 7320626217041845240 8235704494172075895 8784751460450214288 10136251685134862640 10980939325562767860 13177127190675321432 14641252434083690480 16471408988344151790 21961878651125535720 26354254381350642864 32942817976688303580 43923757302251071440 65885635953376607160 131771271906753214320
- Sum of all divisors σ(n): 484684351180087181760
- Sum of proper divisors (its aliquot sum) s(n): 352913079273333967440
- 131771271906753214320 is an abundant number, because the sum of its proper divisors (352913079273333967440) is greater than itself. Its abundance is 221141807366580753120
Bases of 131771271906753214320
- Binary: 11100100100101100011001100110100101001000110110111101110111011100002
- Hexadecimal: 0x724B199A5236F7770
- Base-36: RT4WPGC9I0VW0
Squares and roots of 131771271906753214320
- 131771271906753214320 squared (1317712719067532143202) is 17363668099923488890764993119651853062400
- 131771271906753214320 cubed (1317712719067532143203) is 2288032630493634995881753803452748630514692434075535533568000
-
The
square root of 131771271906753214320 is 11479166864.6619652803 -
The
cube root of 131771271906753214320 is 5088700.7555247653
Scales and comparisons
How big is 131771271906753214320?- 131,771,271,906,753,214,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,771,271,906,753,214,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 131771271906753214320 cubic inches would be around 424058.4 feet tall.
Recreational maths with 131771271906753214320
- 131771271906753214320 backwards is 023412357609172177131
- 131771271906753214320 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 131771271906753214320's digits is 72
- More coming soon!
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The information we have on file for 131771271906753214320 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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