42505993728000
42,505,993,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42505993728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3328 divisors.
42505993728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 42505993728000:
212 × 33 × 53 × 11 × 31 × 71 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 71 × 127)See below for interesting mathematical facts about the number 42505993728000 from the Numbermatics database.
Names of 42505993728000
- Cardinal: 42505993728000 can be written as Forty-two trillion, five hundred five billion, nine hundred ninety-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2505993728 × 1013
Factors of 42505993728000
Divisors of 42505993728000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 71 72 75 80 88 90 93 96 99 100 108 110 120 124 125 127 128 132 135 142 144 150 155 160 165 176 180 186 192 198 200 213 216 220 225 240 248 250 254 256 264 270 275 279 284 288 297 300 310 320 330 341 352 355 360 372 375 381 384 396 400 426 432 440 450 465 480 495 496 500 508 512 528 540 550 558 568 576 594 600 620 635 639 640 660 675 682 704 710 720 744 750 762 768 775 781 792 800 825 837 852 864 880 900 930 960 990 992 1000 1016 1023 1024 1056 1065 1080 1100 1116 1125 1136 1143 1152 1188 1200 1240 1270 1278 1280 1320 1350 1364 1375 1395 1397 1408 1420 1440 1485 1488 1500 1524 1536 1550 1562 1584 1600 1650 1674 1704 1705 1728 1760 1775 1800 1860 1905 1917 1920 1980 1984 2000 2032 2046 2048 2112 2130 2160 2200 2201 2232 2250 2272 2286 2304 2325 2343 2376 2400 2475 2480 2540 2556 2560 2640 2700 2728 2750 2790 2794 2816 2840 2880 2970 2976 3000 3048 3069 3072 3100 3124 3168 3175 3195 3200 3300 3348 3375 3408 3410 3429 3456 3520 3550 3600 3720 3810 3834 3840 3875 3905 3937 3960 3968 4000 4064 4092 4096 4125 4185 4191 4224 4260 4320 4400 4402 4464 4500 4544 4572 4608 4650 4686 4752 4800 4950 4960 5080 5112 5115 5120 5280 5325 5400 5456 5500 5580 5588 5632 5680 5715 5760 5940 5952 6000 6096 6138 6144 6200 6248 6336 6350 6390 6400 6600 6603 6696 6750 6816 6820 6858 6912 6975 6985 7029 7040 7100 7200 7425 7440 7620 7668 7680 7750 7810 7874 7920 7936 8000 8128 8184 8250 8370 8382 8448 8520 8525 8640 8800 8804 8875 8928 9000 9017 9088 9144 9207 9216 9300 9372 9504 9525 9585 9600 9900 9920 10160 10224 10230 10240 10560 10650 10800 10912 11000 11005 11160 11176 11264 11360 11430 11520 11625 11715 11811 11880 11904 12000 12192 12276 12288 12375 12400 12496 12573 12672 12700 12780 12800 13200 13206 13392 13500 13632 13640 13716 13824 13950 13970 14058 14080 14200 14400 14850 14880 15240 15336 15345 15360 15500 15620 15748 15840 15872 15875 15975 16000 16256 16368 16500 16740 16764 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6925056000 6972768000 7084332288 7141464000 7155891200 7379512800 7437619200 7483449600 7547229000 7606656000 7617561600 7728362496 7790688000 7871480320 7982346240 8050377600 8301951900 8310067200 8314944000 8367321600 8569756800 8587069440 8855415360 8944864000 9070848000 9141073920 9224391000 9297024000 9354312000 9445776384 9521952000 9656064000 9660453120 9839350400 9977932800 10062972000 10142208000 10156748800 10304483328 10377439875 10387584000 10459152000 10626498432 10712196000 10733836800 10796544000 10885017600 10969288704 11069269200 11086592000 11156428800 11426342400 11807220480 11973519360 12075566400 12299188000 12396032000 12465100800 12472416000 12594368512 12695936000 12880604160 13283123040 13303910400 13387714560 13417296000 13606272000 13711610880 13836586500 13850112000 13945536000 14168664576 14282928000 14311782400 14759025600 14966899200 15094458000 15213312000 15235123200 15456724992 15581376000 15742960640 16100755200 16603903800 16629888000 16734643200 17139513600 17174138880 17710830720 17889728000 18141696000 18282147840 18448782000 18594048000 18708624000 18891552768 19043904000 19312128000 19320906240 19678700800 19955865600 20125944000 20754879750 20775168000 20918304000 21252996864 21424392000 21467673600 22138538400 22173184000 22312857600 22852684800 23614440960 23947038720 24151132800 24598376000 24930201600 24944832000 25391872000 25761208320 26566246080 26834592000 27212544000 27423221760 27673173000 27891072000 28337329152 28565856000 28623564800 29518051200 29933798400 30188916000 30426624000 30470246400 30913449984 31162752000 31485921280 32201510400 33207807600 33259776000 33469286400 34279027200 35421661440 35779456000 36897564000 37188096000 37417248000 37783105536 38087808000 38641812480 39357401600 39911731200 40251888000 41509759500 41550336000 41836608000 42505993728 42848784000 42935347200 44277076800 45705369600 47228881920 48302265600 49196752000 49889664000 50783744000 51522416640 53132492160 53669184000 54425088000 54846443520 55346346000 55782144000 56674658304 57131712000 59036102400 59867596800 60377832000 62325504000 62971842560 64403020800 66415615200 66519552000 66938572800 68558054400 70843322880 71558912000 73795128000 74834496000 76175616000 77283624960 78714803200 80503776000 83019519000 83673216000 85011987456 85697568000 85870694400 88554153600 91410739200 94457763840 96604531200 98393504000 99779328000 106264984320 107338368000 110692692000 111564288000 113349316608 114263424000 118072204800 119735193600 120755664000 124651008000 128806041600 132831230400 137116108800 141686645760 143117824000 147590256000 149668992000 152351232000 154567249920 157429606400 161007552000 166039038000 167346432000 170023974912 171395136000 177108307200 188915527680 193209062400 196787008000 199558656000 212529968640 214676736000 221385384000 228526848000 236144409600 241511328000 257612083200 265662460800 274232217600 283373291520 295180512000 299337984000 314859212800 322015104000 332078076000 334692864000 340047949824 342790272000 354216614400 386418124800 393574016000 425059937280 429353472000 442770768000 457053696000 472288819200 483022656000 531324921600 566746583040 590361024000 598675968000 644030208000 664156152000 685580544000 708433228800 772836249600 787148032000 850119874560 885541536000 944577638400 966045312000 1062649843200 1180722048000 1288060416000 1328312304000 1371161088000 1416866457600 1574296064000 1700239749120 1771083072000 1932090624000 2125299686400 2361444096000 2656624608000 2833732915200 3542166144000 3864181248000 4250599372800 4722888192000 5313249216000 7084332288000 8501198745600 10626498432000 14168664576000 21252996864000 42505993728000
- Sum of all divisors σ(n): 180881939496960
- Sum of proper divisors (its aliquot sum) s(n): 138375945768960
- 42505993728000 is an abundant number, because the sum of its proper divisors (138375945768960) is greater than itself. Its abundance is 95869952040960
Bases of 42505993728000
- Binary: 10011010101000101100101010100000110000000000002
- Hexadecimal: 0x26A8B2A83000
- Base-36: F2EZF6YO0
Squares and roots of 42505993728000
- 42505993728000 squared (425059937280002) is 1806759502804775337984000000
- 42505993728000 cubed (425059937280003) is 76798108094224178924796984164352000000000
-
The
square root of 42505993728000 is 6519662.0869489853 -
The
cube root of 42505993728000 is 34899.3006835733
Scales and comparisons
How big is 42505993728000?- 42,505,993,728,000 seconds is equal to 1,351,559 years, 6 weeks, 2 days.
-
To count from 1 to 42,505,993,728,000 would take you about three million, three hundred seventy-eight thousand, eight hundred ninety-seven 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 42505993728000 cubic inches would be around 2908.3 feet tall.
Recreational maths with 42505993728000
- 42505993728000 backwards is 00082739950524
- 42505993728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42505993728000's digits is 54
- More coming soon!
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"Number 42505993728000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 42505993728000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42505993728000/
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The information we have on file for 42505993728000 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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