45128829125142000
45,128,829,125,142,000 is an even composite number composed of five prime numbers multiplied together.
45128829125142000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 45128829125142000:
24 × 37 × 53 × 73 × 3113
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 311 × 311 × 311)See below for interesting mathematical facts about the number 45128829125142000 from the Numbermatics database.
Names of 45128829125142000
- Cardinal: 45128829125142000 can be written as Forty-five quadrillion, one hundred twenty-eight trillion, eight hundred twenty-nine billion, one hundred twenty-five million, one hundred forty-two thousand.
Scientific notation
- Scientific notation: 4.5128829125142 × 1016
Factors of 45128829125142000
Divisors of 45128829125142000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 81 84 90 98 100 105 108 112 120 125 126 135 140 144 147 150 162 168 175 180 189 196 200 210 216 225 240 243 245 250 252 270 280 294 300 311 315 324 336 343 350 360 375 378 392 400 405 420 432 441 450 486 490 500 504 525 540 560 567 588 600 622 630 648 675 686 700 720 729 735 750 756 784 810 840 875 882 900 933 945 972 980 1000 1008 1029 1050 1080 1125 1134 1176 1200 1215 1225 1244 1260 1296 1323 1350 1372 1400 1458 1470 1500 1512 1555 1575 1620 1680 1701 1715 1750 1764 1800 1866 1890 1944 1960 2000 2025 2058 2100 2160 2177 2187 2205 2250 2268 2352 2430 2450 2488 2520 2625 2646 2700 2744 2799 2800 2835 2916 2940 3000 3024 3087 3110 3150 3240 3375 3402 3430 3500 3528 3600 3645 3675 3732 3780 3888 3920 3969 4050 4116 4200 4354 4374 4410 4500 4536 4665 4725 4860 4900 4976 5040 5103 5145 5250 5292 5400 5488 5598 5670 5832 5880 6000 6075 6125 6174 6220 6300 6480 6531 6615 6750 6804 6860 7000 7056 7290 7350 7464 7560 7775 7875 7938 8100 8232 8397 8400 8505 8575 8708 8748 8820 9000 9072 9261 9330 9450 9720 9800 10125 10206 10290 10500 10584 10800 10885 10935 11025 11196 11340 11664 11760 11907 12150 12250 12348 12440 12600 13062 13230 13500 13608 13720 13995 14000 14175 14580 14700 14928 15120 15239 15309 15435 15550 15750 15876 16200 16464 16794 17010 17150 17416 17496 17640 18000 18225 18375 18522 18660 18900 19440 19593 19600 19845 20250 20412 20580 21000 21168 21770 21870 22050 22392 22680 23325 23625 23814 24300 24500 24696 24880 25191 25200 25515 25725 26124 26460 27000 27216 27440 27783 27990 28350 29160 29400 30375 30478 30618 30870 31100 31500 31752 32400 32655 33075 33588 34020 34300 34832 34992 35280 35721 36450 36750 37044 37320 37800 38875 39186 39690 40500 40824 41160 41985 42000 42525 42875 43540 43740 44100 44784 45360 45717 46305 46650 47250 47628 48600 49000 49392 50382 51030 51450 52248 52920 54000 54425 54675 55125 55566 55980 56700 58320 58779 58800 59535 60750 60956 61236 61740 62200 63000 63504 65310 66150 67176 68040 68600 69975 70875 71442 72900 73500 74088 74640 75573 75600 76195 76545 77175 77750 78372 79380 81000 81648 82320 83349 83970 85050 85750 87080 87480 88200 91125 91434 92610 93300 94500 95256 96721 97200 97965 98000 99225 100764 102060 102900 104496 105840 106673 107163 108850 109350 110250 111132 111960 113400 116625 117558 119070 121500 121912 122472 123480 124400 125955 126000 127575 128625 130620 132300 134352 136080 137151 137200 138915 139950 141750 142884 145800 147000 148176 151146 152390 153090 154350 155500 156744 158760 162000 163275 165375 166698 167940 170100 171500 174160 174960 176337 176400 178605 182250 182868 185220 186600 189000 190512 193442 195930 198450 201528 204120 205800 209925 212625 213346 214326 217700 218700 220500 222264 223920 226719 226800 228585 231525 233250 235116 238140 243000 243824 244944 246960 250047 251910 255150 257250 261240 264600 272125 273375 274302 277830 279900 283500 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1480701789000 1485722769552 1534994187930 1547627884950 1591845824520 1612319725800 1624332474000 1644636629925 1658172733875 1671438115746 1705549097700 1727485420500 1754279071920 1768717582800 1790826552585 1791466362000 1813859691525 1827374033250 1841993025516 1857153461940 1895054553000 1910214989424 1934783670960 1989807280650 2015399657250 2046658917240 2063503846600 2072982504600 2131936372125 2148991863102 2192848839900 2210896978500 2228584154328 2274065463600 2302491281895 2303313894000 2321441827425 2387768736780 2418479588700 2436498711000 2455990700688 2476204615920 2507157173619 2558323646550 2579379808250 2591228130750 2631418607880 2653076374200 2687199543000 2741061049875 2785730192910 2842581829500 2865322484136 2902175506440 2923798453200 2947862638000 2961403578000 2984710920975 3023099485875 3069988375860 3095255769900 3183691649040 3223487794653 3224639451600 3289273259850 3316345467750 3342876231492 3411098195400 3454970841000 3581653105170 3627719383050 3654748066500 3683986051032 3714306923880 3790109106000 3837485469825 3869069712375 3979614561300 4030799314500 4093317834480 4127007693200 4145965009200 4178595289365 4263872744250 4297983726204 4385697679800 4421793957000 4457168308656 4604982563790 4642883654850 4775537473560 4836959177400 4872997422000 4974518201625 5014314347238 5116647293100 5158759616500 5182456261500 5262837215760 5306152748400 5372479657755 5374399086000 5482122099750 5571460385820 5685163659000 5730644968272 5804351012880 5969421841950 6046198971750 6139976751720 6190511539800 6395809116375 6446975589306 6578546519700 6632690935500 6685752462984 6822196390800 6909941682000 6964325482275 7163306210340 7255438766100 7309496133000 7367972102064 7428613847760 7521471520857 7674970939650 7738139424750 7959229122600 8061598629000 8223183149625 8357190578730 8527745488500 8595967452408 8771395359600 8843587914000 8954132762925 9069298457625 9209965127580 9285767309700 9551074947120 9673918354800 9949036403250 10028628694476 10233294586200 10317519233000 10364912523000 10744959315510 10964244199500 11142920771640 11370327318000 11512456409475 11607209137125 11938843683900 12092397943500 12279953503440 12381023079600 12535785868095 12791618232750 12893951178612 13157093039400 13265381871000 13371504925968 13928650964550 14326612420680 14510877532200 14618992266000 14923554604875 15042943041714 15349941879300 15476278849500 15918458245200 16117438973265 16123197258000 16446366299250 16714381157460 17055490977000 17191934904816 17908265525850 18138596915250 18419930255160 18571534619400 19187427349125 19898072806500 20057257388952 20466589172400 20635038466000 20729825046000 20892976446825 21489918631020 21928488399000 22285841543280 22564414562571 23024912818950 23214418274250 23877687367800 24184795887000 25071571736190 25583236465500 25787902357224 26314186078800 26530763742000 26862398288775 27857301929100 28653224841360 29021755064400 29847109209750 30085886083428 30699883758600 30952557699000 32234877946530 32892732598500 33428762314920 34110981954000 34821627411375 35816531051700 36277193830500 36839860510320 37143069238800 37607357604285 38374854698250 39796145613000 40114514777904 41785952893650 42979837262040 43856976798000 44770663814625 45128829125142 46049825637900 46428836548500 47755374735600 48369591774000 50143143472380 51166472931000 51575804714448 53724796577550 55714603858200 57562282047375 59694218419500 60171772166856 61399767517200 61905115398000 62678929340475 64469755893060 65785465197000 66857524629840 69643254822750 71633062103400 72554387661000 75214715208570 76749709396500 79592291226000 80587194866325 83571905787300 85959674524080 89541327629250 90257658250284 92099651275800 92857673097000 100286286944760 102332945862000 104464882234125 107449593155100 111429207716400 112822072812855 115124564094750 119388436839000 120343544333712 125357858680950 128939511786120 131570930394000 134311991443875 139286509645500 143266124206800 145108775322000 150429430417140 153499418793000 161174389732650 167143811574600 179082655258500 180515316500568 184199302551600 185715346194000 188036788021425 200572573889520 208929764468250 214899186310200 225644145625710 230249128189500 238776873678000 250715717361900 257879023572240 268623982887750 278573019291000 300858860834280 306998837586000 313394646702375 322348779465300 334287623149200 358165310517000 361030633001136 376073576042850 402935974331625 417859528936500 429798372620400 451288291251420 460498256379000 501431434723800 537247965775500 557146038582000 564110364064275 601717721668560 626789293404750 644697558930600 716330621034000 752147152085700 805871948663250 835719057873000 902576582502840 920996512758000 940183940107125 1002862869447600 1074495931551000 1128220728128550 1253578586809500 1289395117861200 1504294304171400 1611743897326500 1671438115746000 1805153165005680 1880367880214250 2148991863102000 2256441456257100 2507157173619000 2820551820321375 3008588608342800 3223487794653000 3760735760428500 4512882912514200 5014314347238000 5641103640642750 6446975589306000 7521471520857000 9025765825028400 11282207281285500 15042943041714000 22564414562571000 45128829125142000
- Sum of all divisors σ(n): 191469670299648000
- Sum of proper divisors (its aliquot sum) s(n): 146340841174506000
- 45128829125142000 is an abundant number, because the sum of its proper divisors (146340841174506000) is greater than itself. Its abundance is 101212012049364000
Bases of 45128829125142000
- Binary: 101000000101010001101110010101010010001000100101111100002
- Hexadecimal: 0xA0546E552225F0
- Base-36: CCCU1W59R00
Squares and roots of 45128829125142000
- 45128829125142000 squared (451288291251420002) is 2036611218206264853096520164000000
- 45128829125142000 cubed (451288291251420003) is 91909879660777814352871375222412682363288000000000
-
The
square root of 45128829125142000 is 212435470.4966710591 -
The
cube root of 45128829125142000 is 356028.4377536011
Scales and comparisons
How big is 45128829125142000?- 45,128,829,125,142,000 seconds is equal to 1,434,957,173 years, 28 weeks, 2 days, 15 hours.
-
To count from 1 to 45,128,829,125,142,000 would take you about four billion, three hundred four million, eight hundred seventy-one thousand, five hundred twenty 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 45128829125142000 cubic inches would be around 29669 feet tall.
Recreational maths with 45128829125142000
- 45128829125142000 backwards is 00024152192882154
- 45128829125142000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 45128829125142000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 45128829125142000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 45128829125142000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/45128829125142000/
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The information we have on file for 45128829125142000 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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