131146472858247168
131,146,472,858,247,168 is an even composite number composed of eight prime numbers multiplied together.
131146472858247168 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 131146472858247168:
213 × 3 × 7 × 17 × 41 × 107 × 1327 × 7703
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 41 × 107 × 1327 × 7703)See below for interesting mathematical facts about the number 131146472858247168 from the Numbermatics database.
Names of 131146472858247168
- Cardinal: 131146472858247168 can be written as One hundred thirty-one quadrillion, one hundred forty-six trillion, four hundred seventy-two billion, eight hundred fifty-eight million, two hundred forty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31146472858247168 × 1017
Factors of 131146472858247168
Divisors of 131146472858247168
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 41 42 48 51 56 64 68 82 84 96 102 107 112 119 123 128 136 164 168 192 204 214 224 238 246 256 272 287 321 328 336 357 384 408 428 448 476 492 512 544 574 642 656 672 697 714 749 768 816 856 861 896 952 984 1024 1088 1148 1284 1312 1327 1344 1394 1428 1498 1536 1632 1712 1722 1792 1819 1904 1968 2048 2091 2176 2247 2296 2568 2624 2654 2688 2788 2856 2996 3072 3264 3424 3444 3584 3638 3808 3936 3981 4096 4182 4352 4387 4494 4592 4879 5136 5248 5308 5376 5457 5576 5712 5992 6144 6528 6848 6888 7168 7276 7616 7703 7872 7962 8192 8364 8704 8774 8988 9184 9289 9758 10272 10496 10616 10752 10914 11152 11424 11984 12288 12733 13056 13161 13696 13776 14336 14552 14637 15232 15406 15744 15924 16728 17408 17548 17976 18368 18578 19516 20544 20992 21232 21504 21828 22304 22559 22848 23109 23968 24576 25466 26112 26322 27392 27552 27867 28672 29104 29274 30464 30709 30812 31488 31848 33456 34816 35096 35952 36736 37156 38199 39032 41088 41984 42464 43008 43656 44608 45118 45696 46218 47936 50932 52224 52644 53921 54407 54784 55104 55734 57344 58208 58548 60928 61418 61624 62976 63696 66912 67677 69632 70192 71904 73472 74312 74579 76398 78064 82176 83968 84928 86016 87312 89216 90236 91392 92127 92436 95872 101864 104448 105288 107842 108814 109568 110208 111468 116416 117096 121856 122836 123248 125952 127392 130951 133824 135354 139264 140384 141989 143808 146944 148624 149158 152796 156128 157913 161763 163221 164352 167936 169856 172032 174624 178432 180472 182784 184254 184872 191744 203728 208896 210576 215684 217628 219136 220416 222936 223737 232832 234192 243712 245672 246496 251904 254784 261902 267648 270708 280768 283978 287616 293888 297248 298316 305592 312256 315823 315826 323526 326442 328704 335872 339712 349248 356864 360944 365568 368508 369744 380849 383488 392853 407456 417792 421152 425967 431368 435256 438272 440832 445872 447474 465664 468384 473739 487424 491344 492992 503808 509568 522053 523804 535296 541416 561536 567956 575232 587776 594496 596632 611184 624512 631646 631652 647052 652884 657408 679424 698496 713728 721888 731136 737016 739488 761698 766976 785706 814912 824221 842304 851934 862736 870512 876544 881664 891744 894948 916657 924919 931328 936768 947469 947478 974848 982688 985984 993923 1007616 1019136 1044106 1047608 1070592 1082832 1123072 1135912 1142547 1150464 1175552 1188992 1193264 1222368 1249024 1263292 1263304 1294104 1305768 1314816 1358848 1396992 1427456 1443776 1462272 1474032 1478976 1523396 1533952 1566159 1571412 1629824 1648442 1684608 1703868 1725472 1741024 1763328 1783488 1789896 1833314 1849838 1862656 1873536 1894938 1894956 1965376 1971968 1987846 2038272 2088212 2095216 2141184 2165664 2210761 2246144 2271824 2285094 2300928 2351104 2377984 2386528 2413813 2444736 2472663 2498048 2526584 2526608 2588208 2611536 2629632 2717696 2749971 2774757 2793984 2854912 2887552 2924544 2948064 2957952 2981769 3046792 3067904 3132318 3142824 3259648 3296884 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269060351682 276832755712 279997764352 281633265312 293081772032 294134802944 297497624624 299235344394 301308822528 304024574976 307879419904 311399382784 313903743629 321866588928 333830905856 341983250736 344352940032 354695337472 355885008896 358747135576 363342991872 367497065712 375511020416 386051928864 390465632319 398980459192 401745096704 405366099968 415249133568 415253078016 419996646528 429155451904 439622658048 441202204416 446246436936 455977667648 461819129856 467099074176 484457322496 489996087616 500746358784 514735905152 520620843092 532043006208 533827513344 538120703364 559995528704 563266530624 586163544064 588269605888 594995249248 598470688788 602617645056 608049149952 622798765568 627807487258 643733177856 683966501472 709390674944 711770017792 717494271152 726685983744 734994131424 751022040832 762337663099 772103857728 780931264638 797960918384 803490193408 810732199936 830498267136 839993293056 858310903808 879245316096 882404408832 892492873872 911955335296 923638259712 934198148352 941711230887 968914644992 979992175232 1001492717568 1029471810304 1041241686184 1064086012416 1067655026688 1076241406728 1119991057408 1126533061248 1176539211776 1189990498496 1196941377576 1205235290112 1216098299904 1245597531136 1255614974516 1287466355712 1367933002944 1418781349888 1423540035584 1434988542304 1453371967488 1469988262848 1502044081664 1524675326198 1544207715456 1561862529276 1595921836768 1679986586112 1716621807616 1758490632192 1764808817664 1784985747744 1823910670592 1868396296704 1883422461774 1937829289984 1959984350464 2058943620608 2082483372368 2128172024832 2135310053376 2152482813456 2239982114816 2253066122496 2287012989297 2353078423552 2379980996992 2393882755152 2410470580224 2432196599808 2491195062272 2511229949032 2574932711424 2735866005888 2837562699776 2869977084608 2906743934976 2939976525696 3004088163328 3049350652396 3088415430912 3123725058552 3191843673536 3359973172224 3433243615232 3529617635328 3569971495488 3647821341184 3736792593408 3766844923548 3919968700928 4117887241216 4164966744736 4256344049664 4270620106752 4304965626912 4479964229632 4506132244992 4574025978594 4706156847104 4759961993984 4787765510304 4982390124544 5022459898064 5149865422848 5336363641693 5471732011776 5675125399552 5739954169216 5813487869952 5879953051392 6008176326656 6098701304792 6176830861824 6247450117104 6383687347072 6719946344448 7059235270656 7139942990976 7295642682368 7473585186816 7533689847096 7839937401856 8235774482432 8329933489472 8512688099328 8609931253824 8959928459264 9012264489984 9148051957188 9519923987968 9575531020608 9964780249088 10044919796128 10299730845696 10672727283386 10943464023552 11479908338432 11759906102784 12016352653312 12197402609584 12353661723648 12494900234208 12767374694144 13439892688896 14118470541312 14279885981952 14591285364736 14947170373632 15067379694192 15679874803712 16009090925079 16471548964864 16659866978944 17025376198656 17219862507648 18024528979968 18296103914376 19039847975936 19151062041216 20089839592256 21345454566772 21886928047104 22959816676864 23519812205568 24032705306624 24394805219168 24707323447296 24989800468416 25534749388288 26879785377792 28559771963904 29182570729472 29894340747264 30134759388384 31359749607424 32018181850158 32943097929728 33319733957888 34439725015296 36049057959936 36592207828752 38079695951872 38302124082432 40179679184512 42690909133544 43773856094208 45919633353728 47039624411136 48789610438336 49414646894592 49979600936832 51069498776576 57119543927808 58365141458944 60269518776768 62719499214848 64036363700316 66639467915776 68879450030592 72098115919872 73184415657504 76159391903744 76604248164864 80359358369024 85381818267088 87547712188416 91839266707456 94079248822272 97579220876672 98829293789184 99959201873664 102138997553152 114239087855616 120539037553536 128072727400632 133278935831552 137758900061184 146368831315008 152318783807488 153208496329728 160718716738048 170763636534176 175095424376832 183678533414912 188158497644544 195158441753344 199918403747328 204277995106304 228478175711232 241078075107072 256145454801264 266557871663104 275517800122368 292737662630016 306416992659456 321437433476096 341527273068352 367357066829824 390316883506688 399836807494656 408555990212608 456956351422464 482156150214144 512290909602528 533115743326208 551035600244736 585475325260032 612833985318912 642874866952192 683054546136704 780633767013376 799673614989312 964312300428288 1024581819205056 1066231486652416 1102071200489472 1170950650520064 1225667970637824 1285749733904384 1366109092273408 1561267534026752 1599347229978624 1928624600856576 2049163638410112 2341901301040128 2571499467808768 2732218184546816 3122535068053504 3198694459957248 3857249201713152 4098327276820224 4683802602080256 5464436369093632 6245070136107008 7714498403426304 8196654553640448 9367605204160512 10928872738187264 16393309107280896 18735210408321024 21857745476374528 32786618214561792 43715490952749056 65573236429123584 131146472858247168
- Sum of all divisors σ(n): 437928600936185856
- Sum of proper divisors (its aliquot sum) s(n): 306782128077938688
- 131146472858247168 is an abundant number, because the sum of its proper divisors (306782128077938688) is greater than itself. Its abundance is 175635655219691520
Bases of 131146472858247168
- Binary: 1110100011110110100000101101100000100001011100000000000002
- Hexadecimal: 0x1D1ED05B042E000
- Base-36: ZVBJLWE7QIO
Squares and roots of 131146472858247168
- 131146472858247168 squared (1311464728582471682) is 17199397343158961110970793380020224
- 131146472858247168 cubed (1311464728582471683) is 2255640296842805145961922594143424815365233030725632
-
The
square root of 131146472858247168 is 362141509.4382956371 -
The
cube root of 131146472858247168 is 508064.5247082107
Scales and comparisons
How big is 131146472858247168?- 131,146,472,858,247,168 seconds is equal to 4,170,052,174 years, 11 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
-
To count from 1 to 131,146,472,858,247,168 would take you about twelve billion, five hundred ten million, one hundred fifty-six thousand, five hundred twenty-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 131146472858247168 cubic inches would be around 42338.7 feet tall.
Recreational maths with 131146472858247168
- 131146472858247168 backwards is 861742858274641131
- The number of decimal digits it has is: 18
- The sum of 131146472858247168's digits is 78
- More coming soon!
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"Number 131146472858247168 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 131146472858247168 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/131146472858247168/
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Numbermatics. 2024. "Number 131146472858247168 - Facts about the integer". https://numbermatics.com/n/131146472858247168/
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