131311964432896
131,311,964,432,896 is an even composite number composed of six prime numbers multiplied together.
131311964432896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 131311964432896:
29 × 132 × 19 × 31 × 113 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 31 × 113 × 151 × 151)See below for interesting mathematical facts about the number 131311964432896 from the Numbermatics database.
Names of 131311964432896
- Cardinal: 131311964432896 can be written as One hundred thirty-one trillion, three hundred eleven billion, nine hundred sixty-four million, four hundred thirty-two thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.31311964432896 × 1014
Factors of 131311964432896
Divisors of 131311964432896
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 113 124 128 151 152 169 208 226 247 248 256 302 304 338 403 416 452 494 496 512 589 604 608 676 806 832 904 988 992 1178 1208 1216 1352 1469 1612 1664 1808 1963 1976 1984 2147 2356 2416 2432 2704 2869 2938 3211 3224 3328 3503 3616 3926 3952 3968 4294 4681 4712 4832 4864 5239 5408 5738 5876 6422 6448 6656 7006 7232 7657 7852 7904 7936 8588 9362 9424 9664 9728 10478 10816 11476 11752 12844 12896 14012 14464 15314 15704 15808 15872 17063 17176 18724 18848 19097 19328 20956 21632 22801 22952 23504 25519 25688 25792 27911 28024 28928 30628 31408 31616 34126 34352 37297 37448 37696 38194 38656 41912 43264 45539 45602 45904 47008 51038 51376 51584 55822 56048 57856 60853 61256 62816 63232 66557 68252 68704 74594 74896 75392 76388 77312 83824 86528 88939 91078 91204 91808 94016 99541 102076 102752 103168 111644 112096 121706 122512 125632 126464 133114 136504 137408 149188 149792 150784 152776 167648 177878 182156 182408 183616 188032 199082 204152 205504 206336 221819 223288 224192 243412 245024 251264 266228 273008 274816 296413 298376 299584 301568 305552 324197 335296 355756 362843 364312 364816 367232 376064 398164 408304 411008 433219 443638 446576 448384 484861 486824 490048 502528 528953 532456 546016 549632 592007 592826 596752 599168 611104 648394 670592 706831 711512 725686 728624 729632 734464 752128 791089 796328 816608 822016 865241 866438 887276 893152 896768 969722 973648 980096 1005056 1057906 1064912 1092032 1099264 1156207 1184014 1185652 1193504 1198336 1222208 1296788 1341184 1413662 1423024 1451372 1457248 1459264 1468928 1582178 1592656 1633216 1644032 1730482 1732876 1774552 1786304 1793536 1939444 1947296 1960192 2115812 2129824 2184064 2312414 2368028 2371304 2387008 2396672 2444416 2576513 2593576 2682368 2827324 2846048 2883647 2902744 2914496 2918528 3164356 3185312 3266432 3460964 3465752 3549104 3572608 3853369 3878888 3894592 3920384 4214561 4231624 4259648 4368128 4624828 4736056 4742608 4774016 4888832 5153026 5187152 5631847 5654648 5692096 5767294 5805488 5828992 5837056 6328712 6370624 6532864 6876389 6921928 6931504 7098208 7145216 7706738 7757776 7789184 8429122 8463248 8519296 8736256 9188803 9249656 9472112 9485216 9548032 9777664 10050107 10306052 10374304 11248133 11263694 11309296 11384192 11534588 11610976 11657984 11674112 12657424 12741248 13065728 13429789 13752778 13843856 13863008 14196416 14290432 15030691 15413476 15515552 15578368 16858244 16926496 17038592 18377606 18499312 18944224 18970432 19096064 20100214 20612104 20748608 22496266 22527388 22618592 22768384 23069176 23221952 23315968 25314848 25482496 26859578 27505556 27687712 27726016 28392832 30061382 30826952 31031104 31156736 33494669 33716488 33852992 34077184 36755212 36998624 37888448 37940864 40200428 41224208 41497216 44992532 45054776 45237184 45536768 46138352 46443904 48953747 50629696 50964992 53719156 54789293 55011112 55375424 55452032 56785664 60122764 61653904 62062208 66989338 67432976 67705984 73214011 73510424 73997248 75776896 75881728 79871903 80400856 82448416 82994432 89393057 89985064 90109552 90474368 92276704 92887808 97907494 101259392 107438312 109578586 110022224 110750848 110904064 113571328 119454439 120245528 123307808 124124416 130651391 133978676 134865952 135411968 146428022 147020848 147994496 151553792 151763456 159743806 160801712 164896832 165988864 174587257 178786114 179970128 180219104 180948736 184553408 185775616 195814988 202518784 214876624 219157172 220044448 221501696 221808128 238908878 240491056 246615616 248248832 261302782 267957352 269731904 270823936 292856044 294041696 295988992 303107584 319487612 321603424 329793664 349174514 357572228 359940256 360438208 361897472 369106816 391629976 405037568 429753248 435430697 438314344 440088896 443003392 477817756 480982112 493231232 522605564 535914704 539463808 585712088 588083392 591977984 636398711 638975224 643206848 659587328 698349028 715144456 719880512 720876416 738213632 783259952 859506496 870861394 876628688 880177792 955635512 961964224 986462464 1038334739 1045211128 1071829408 1078927616 1171424176 1176166784 1272797422 1277950448 1286413696 1319174656 1396698056 1430288912 1439761024 1441752832 1476427264 1517566157 1566519904 1698468083 1719012992 1741722788 1753257376 1760355584 1911271024 1923928448 1972924928 2076669478 2090422256 2143658816 2157855232 2269634341 2342848352 2352333568 2545594844 2555900896 2572827392 2793396112 2860577824 2879522048 2883505664 3035132314 3133039808 3396936166 3438025984 3483445576 3506514752 3520711168 3822542048 3847856896 4153338956 4180844512 4287317632 4539268682 4685696704 4704667136 5091189688 5111801792 5145654784 5586792224 5721155648 5759044096 6070264628 6266079616 6793872332 6876051968 6966891152 7013029504 7645084096 7695713792 8273183243 8306677912 8361689024 8574635264 9078537364 9371393408 10182379376 10223603584 11173584448 11442311296 12140529256 12532159232 13498351607 13587744664 13933782304 14026059008 15290168192 16546366486 16613355824 16723378048 17149270528 18157074728 18742786816 19728360041 20364758752 20447207168 22347168896 22884622592 24281058512 25064318464 26996703214 27175489328 27867564608 28052118016 30580336384 33092732972 33226711648 33446756096 36314149456 37485573632 39456720082 40729517504 40894414336 44694337792 45769245184 48562117024 53993406428 54350978656 55735129216 61160672768 66185465944 66453423296 66893512192 72628298912 78913440164 81459035008 89388675584 97124234048 107986812856 108701957312 111470258432 132370931888 132906846592 145256597824 157826880328 162918070016 194248468096 215973625712 217403914624 222940516864 256468680533 264741863776 265813693184 290513195648 315653760656 325836140032 388496936192 431947251424 434807829248 512937361066 529483727552 531627386368 581026391296 631307521312 776993872384 863894502848 869615658496 1025874722132 1058967455104 1162052782592 1262615042624 1727789005696 2051749444264 2117934910208 2525230085248 3455578011392 4103498888528 4235869820416 5050460170496 6911156022784 8206997777056 10100920340992 16413995554112 32827991108224 65655982216448 131311964432896
- Sum of all divisors σ(n): 313509716593920
- Sum of proper divisors (its aliquot sum) s(n): 182197752161024
- 131311964432896 is an abundant number, because the sum of its proper divisors (182197752161024) is greater than itself. Its abundance is 50885787728128
Bases of 131311964432896
- Binary: 111011101101101011100101111111010101010000000002
- Hexadecimal: 0x776D72FEAA00
- Base-36: 1AJNVT8YKG
Squares and roots of 131311964432896
- 131311964432896 squared (1313119644328962) is 17242832003226144122886946816
- 131311964432896 cubed (1313119644328963) is 2264190142730032323791927222593774352859136
-
The
square root of 131311964432896 is 11459143.2678405763 -
The
cube root of 131311964432896 is 50827.8140966433
Scales and comparisons
How big is 131311964432896?- 131,311,964,432,896 seconds is equal to 4,175,314 years, 15 weeks, 2 days, 3 hours, 48 minutes, 16 seconds.
-
To count from 1 to 131,311,964,432,896 would take you about ten million, four hundred thirty-eight thousand, two hundred eighty-five 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 131311964432896 cubic inches would be around 4235.7 feet tall.
Recreational maths with 131311964432896
- 131311964432896 backwards is 698234469113131
- The number of decimal digits it has is: 15
- The sum of 131311964432896's digits is 61
- More coming soon!
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