132413023865463644160
132,413,023,865,463,644,160 is an even composite number composed of seven prime numbers multiplied together.
132413023865463644160 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 132413023865463644160:
213 × 33 × 5 × 11 × 13 × 19 × 44067392419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 19 × 44067392419)See below for interesting mathematical facts about the number 132413023865463644160 from the Numbermatics database.
Names of 132413023865463644160
- Cardinal: 132413023865463644160 can be written as One hundred thirty-two quintillion, four hundred thirteen quadrillion, twenty-three trillion, eight hundred sixty-five billion, four hundred sixty-three million, six hundred forty-four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3241302386546364416 × 1020
Factors of 132413023865463644160
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 21
- Sum of prime factors: 44067392472
Divisors of 132413023865463644160
- Number of divisors d(n): 1792
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 26 27 30 32 33 36 38 39 40 44 45 48 52 54 55 57 60 64 65 66 72 76 78 80 88 90 95 96 99 104 108 110 114 117 120 128 130 132 135 143 144 152 156 160 165 171 176 180 190 192 195 198 208 209 216 220 228 234 240 247 256 260 264 270 285 286 288 297 304 312 320 330 342 351 352 360 380 384 390 396 416 418 429 432 440 456 468 480 494 495 512 513 520 528 540 570 572 576 585 594 608 624 627 640 660 684 702 704 715 720 741 760 768 780 792 832 836 855 858 864 880 912 936 960 988 990 1024 1026 1040 1045 1056 1080 1140 1144 1152 1170 1188 1216 1235 1248 1254 1280 1287 1320 1368 1404 1408 1430 1440 1482 1485 1520 1536 1560 1584 1664 1672 1710 1716 1728 1755 1760 1824 1872 1881 1920 1976 1980 2048 2052 2080 2090 2112 2145 2160 2223 2280 2288 2304 2340 2376 2432 2470 2496 2508 2560 2565 2574 2640 2717 2736 2808 2816 2860 2880 2964 2970 3040 3072 3120 3135 3168 3328 3344 3420 3432 3456 3510 3520 3648 3705 3744 3762 3840 3861 3952 3960 4096 4104 4160 4180 4224 4290 4320 4446 4560 4576 4608 4680 4752 4864 4940 4992 5016 5120 5130 5148 5280 5434 5472 5616 5632 5643 5720 5760 5928 5940 6080 6144 6240 6270 6336 6435 6656 6669 6688 6840 6864 6912 7020 7040 7296 7410 7488 7524 7680 7722 7904 7920 8151 8192 8208 8320 8360 8448 8580 8640 8892 9120 9152 9216 9360 9405 9504 9728 9880 9984 10032 10240 10260 10296 10560 10868 10944 11115 11232 11264 11286 11440 11520 11856 11880 12160 12288 12480 12540 12672 12870 13312 13338 13376 13585 13680 13728 13824 14040 14080 14592 14820 14976 15048 15360 15444 15808 15840 16302 16416 16640 16720 16896 17160 17280 17784 18240 18304 18432 18720 18810 19008 19305 19456 19760 19968 20064 20480 20520 20592 21120 21736 21888 22230 22464 22528 22572 22880 23040 23712 23760 24320 24453 24576 24960 25080 25344 25740 26624 26676 26752 27170 27360 27456 27648 28080 28160 28215 29184 29640 29952 30096 30720 30888 31616 31680 32604 32832 33280 33345 33440 33792 34320 34560 35568 36480 36608 36864 37440 37620 38016 38610 38912 39520 39936 40128 40755 40960 41040 41184 42240 43472 43776 44460 44928 45056 45144 45760 46080 47424 47520 48640 48906 49920 50160 50688 51480 53248 53352 53504 54340 54720 54912 55296 56160 56320 56430 58368 59280 59904 60192 61440 61776 63232 63360 65208 65664 66560 66690 66880 67584 68640 69120 71136 72960 73216 73359 73728 74880 75240 76032 77220 77824 79040 79872 80256 81510 82080 82368 84480 86944 87552 88920 89856 90112 90288 91520 92160 94848 95040 97280 97812 99840 100320 101376 102960 106496 106704 107008 108680 109440 109824 110592 112320 112640 112860 116736 118560 119808 120384 122265 122880 123552 126464 126720 130416 131328 133120 133380 133760 135168 137280 138240 142272 145920 146432 146718 149760 150480 152064 154440 155648 158080 159744 160512 163020 164160 164736 168960 173888 175104 177840 179712 180576 183040 184320 189696 190080 194560 195624 199680 200640 202752 205920 213408 214016 217360 218880 219648 221184 224640 225280 225720 233472 237120 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54446144681522880 55729387148764160 56586762335668224 57470930497163040 57872825116024320 58075887660291072 59565012984913920 61302325863640576 61731013457092608 62695560542359680 63355513811226624 63660107627626752 64528764066990080 64654796809308420 66875264578516992 67010639608028160 68965116596595648 70395015345807360 70733452919585280 72594859575363840 75234672650831616 75449016447557632 76627907329550720 77163766821365760 77434516880388096 79194392264033280 79575134534533440 83594080723146240 84880143503502336 86206395745744560 87113831490436608 89167019438022656 89347519477370880 91953488795460864 92596520185638912 94043340813539520 94311270559447040 96793146100485120 100312896867775488 102885022428487680 103447674894893472 105592523018711040 106100179379377920 107217023372845056 108892289363045760 111458774297528320 113173524671336448 114941860994326080 115745650232048640 116151775320582144 122604651727281152 125391121084719360 126711027622453248 127320215255253504 129057528133980160 129309593618616840 133750529157033984 134021279216056320 137930233193191296 141466905839170560 145189719150727680 150469345301663232 153255814659101440 154327533642731520 154869033760776192 158388784528066560 159150269069066880 167188161446292480 169760287007004672 172412791491489120 174227662980873216 178695038954741760 183906977590921728 185193040371277824 188086681627079040 188622541118894080 193586292200970240 200625793735550976 206895349789786944 211185046037422080 212200358758755840 217784578726091520 222917548595056640 226347049342672896 229883721988652160 231491300464097280 232303550641164288 245209303454562304 250782242169438720 254640430510507008 258115056267960320 258619187237233680 267501058314067968 268042558432112640 275860466386382592 282933811678341120 290379438301455360 300938690603326464 306511629318202880 308655067285463040 316777569056133120 318300538138133760 334376322892584960 339520574014009344 344825582982978240 348455325961746432 367813955181843456 376173363254158080 377245082237788160 387172584401940480 401251587471101952 413790699579573888 424400717517511680 435569157452183040 445835097190113280 459767443977304320 462982600928194560 464607101282328576 490418606909124608 501564484338877440 509280861021014016 517238374474467360 536085116864225280 551720932772765184 565867623356682240 580758876602910720 601877381206652928 613023258636405760 633555138112266240 636601076276267520 668752645785169920 679041148028018688 689651165965956480 696910651923492864 735627910363686912 752346726508316160 774345168803880960 802503174942203904 827581399159147776 848801435035023360 871138314904366080 919534887954608640 925965201856389120 980837213818249216 1003128968677754880 1018561722042028032 1034476748948934720 1103441865545530368 1131735246713364480 1161517753205821440 1203754762413305856 1226046517272811520 1273202152552535040 1337505291570339840 1379302331931912960 1393821303846985728 1471255820727373824 1504693453016632320 1655162798318295552 1697602870070046720 1742276629808732160 1839069775909217280 2006257937355509760 2037123444084056064 2068953497897869440 2206883731091060736 2323035506411642880 2407509524826611712 2452093034545623040 2546404305105070080 2758604663863825920 2942511641454747648 3009386906033264640 3310325596636591104 3395205740140093440 3484553259617464320 3678139551818434560 4012515874711019520 4137906995795738880 4413767462182121472 4904186069091246080 5092808610210140160 5517209327727651840 6018773812066529280 6620651193273182208 6969106519234928640 7356279103636869120 8275813991591477760 8827534924364242944 10185617220420280320 11034418655455303680 12037547624133058560 13241302386546364416 14712558207273738240 16551627983182955520 22068837310910607360 26482604773092728832 33103255966365911040 44137674621821214720 66206511932731822080 132413023865463644160
- Sum of all divisors σ(n): 582185390989595904000
- Sum of proper divisors (its aliquot sum) s(n): 449772367124132259840
- 132413023865463644160 is an abundant number, because the sum of its proper divisors (449772367124132259840) is greater than itself. Its abundance is 317359343258668615680
Bases of 132413023865463644160
- Binary: 11100101101100110011000111110100110110000000100100000100000000000002
- Hexadecimal: 0x72D998FA6C0482000
- Base-36: RY0FNJC3PNUO0
Squares and roots of 132413023865463644160
- 132413023865463644160 squared (1324130238654636441602) is 17533208889195844588671110722707102105600
- 132413023865463644160 cubed (1324130238654636441603) is 2321625207083248680086074633201677871161101077425785143296000
-
The
square root of 132413023865463644160 is 11507085811.1627743331 -
The
cube root of 132413023865463644160 is 5096948.3713134159
Scales and comparisons
How big is 132413023865463644160?- 132,413,023,865,463,644,160 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,413,023,865,463,644,160 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 132413023865463644160 cubic inches would be around 424745.7 feet tall.
Recreational maths with 132413023865463644160
- 132413023865463644160 backwards is 061446364568320314231
- 132413023865463644160 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 132413023865463644160's digits is 72
- More coming soon!
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"Number 132413023865463644160 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 132413023865463644160 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/132413023865463644160/
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Numbermatics. 2024. "Number 132413023865463644160 - Facts about the integer". https://numbermatics.com/n/132413023865463644160/
The information we have on file for 132413023865463644160 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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