132519856642448640
132,519,856,642,448,640 is an even composite number composed of six prime numbers multiplied together.
132519856642448640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132519856642448640:
28 × 3 × 5 × 17 × 211 × 9620958833
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 211 × 9620958833)See below for interesting mathematical facts about the number 132519856642448640 from the Numbermatics database.
Names of 132519856642448640
- Cardinal: 132519856642448640 can be written as One hundred thirty-two quadrillion, five hundred nineteen trillion, eight hundred fifty-six billion, six hundred forty-two million, four hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3251985664244864 × 1017
Factors of 132519856642448640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 9620959071
Divisors of 132519856642448640
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 211 240 255 256 272 320 340 384 408 422 480 510 544 633 640 680 768 816 844 960 1020 1055 1088 1266 1280 1360 1632 1688 1920 2040 2110 2176 2532 2720 3165 3264 3376 3587 3840 4080 4220 4352 5064 5440 6330 6528 6752 7174 8160 8440 10128 10761 10880 12660 13056 13504 14348 16320 16880 17935 20256 21522 21760 25320 27008 28696 32640 33760 35870 40512 43044 50640 53805 54016 57392 65280 67520 71740 81024 86088 101280 107610 114784 135040 143480 162048 172176 202560 215220 229568 270080 286960 344352 405120 430440 459136 573920 688704 810240 860880 918272 1147840 1377408 1721760 2295680 2754816 3443520 4591360 6887040 13774080 9620958833 19241917666 28862876499 38483835332 48104794165 57725752998 76967670664 96209588330 115451505996 144314382495 153935341328 163556300161 192419176660 230903011992 288628764990 307870682656 327112600322 384838353320 461806023984 490668900483 577257529980 615741365312 654225200644 769676706640 817781500805 923612047968 981337800966 1154515059960 1231482730624 1308450401288 1539353413280 1635563001610 1847224095936 1962675601932 2030022313763 2309030119920 2453344502415 2462965461248 2616900802576 3078706826560 3271126003220 3694448191872 3925351203864 4060044627526 4618060239840 4906689004830 5233801605152 6090066941289 6157413653120 6542252006440 7388896383744 7850702407728 8120089255052 9236120479680 9813378009660 10150111568815 10467603210304 12180133882578 12314827306240 13084504012880 15701404815456 16240178510104 18472240959360 19626756019320 20300223137630 20935206420608 24360267765156 26169008025760 30450334706445 31402809630912 32480357020208 34510379333971 36944481918720 39253512038640 40600446275260 41870412841216 48720535530312 52338016051520 60900669412890 62805619261824 64960714040416 69020758667942 78507024077280 81200892550520 97441071060624 103531138001913 104676032103040 121801338825780 125611238523648 129921428080832 138041517335884 157014048154560 162401785101040 172551896669855 194882142121248 207062276003826 209352064206080 243602677651560 259842856161664 276083034671768 314028096309120 324803570202080 345103793339710 389764284242496 414124552007652 487205355303120 517655690009565 519685712323328 552166069343536 628056192618240 649607140404160 690207586679420 779528568484992 828249104015304 974410710606240 1035311380019130 1104332138687072 1299214280808320 1380415173358840 1559057136969984 1656498208030608 1948821421212480 2070622760038260 2208664277374144 2598428561616640 2760830346717680 3312996416061216 3897642842424960 4141245520076520 4417328554748288 5521660693435360 6625992832122432 7795285684849920 8282491040153040 8834657109496576 11043321386870720 13251985664244864 16564982080306080 22086642773741440 26503971328489728 33129964160612160 44173285547482880 66259928321224320 132519856642448640
- Sum of all divisors σ(n): 450255331758911616
- Sum of proper divisors (its aliquot sum) s(n): 317735475116462976
- 132519856642448640 is an abundant number, because the sum of its proper divisors (317735475116462976) is greater than itself. Its abundance is 185215618474014336
Bases of 132519856642448640
- Binary: 1110101101100111000011011100001001101101111011101000000002
- Hexadecimal: 0x1D6CE1B84DBDD00
- Base-36: 108UD9P7LYIO
Squares and roots of 132519856642448640
- 132519856642448640 squared (1325198566424486402) is 17561512404535138933131935037849600
- 132519856642448640 cubed (1325198566424486403) is 2327249106273580118995367500018846147292424044544000
-
The
square root of 132519856642448640 is 364032768.6382760791 -
The
cube root of 132519856642448640 is 509831.8767154675
Scales and comparisons
How big is 132519856642448640?- 132,519,856,642,448,640 seconds is equal to 4,213,721,530 years, 20 weeks, 5 days, 9 hours, 4 minutes.
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To count from 1 to 132,519,856,642,448,640 would take you about twelve billion, six hundred forty-one million, one hundred sixty-four thousand, five hundred ninety-one 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 132519856642448640 cubic inches would be around 42486 feet tall.
Recreational maths with 132519856642448640
- 132519856642448640 backwards is 046844246658915231
- The number of decimal digits it has is: 18
- The sum of 132519856642448640's digits is 78
- More coming soon!
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