42131272640512000
42,131,272,640,512,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42131272640512000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
42131272640512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42131272640512000:
214 × 53 × 112 × 83 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 83 × 127 × 127 × 127)See below for interesting mathematical facts about the number 42131272640512000 from the Numbermatics database.
Names of 42131272640512000
- Cardinal: 42131272640512000 can be written as Forty-two quadrillion, one hundred thirty-one trillion, two hundred seventy-two billion, six hundred forty million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2131272640512 × 1016
Factors of 42131272640512000
Divisors of 42131272640512000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 83 88 100 110 121 125 127 128 160 166 176 200 220 242 250 254 256 275 320 332 352 400 415 440 484 500 508 512 550 605 635 640 664 704 800 830 880 913 968 1000 1016 1024 1100 1210 1270 1280 1328 1375 1397 1408 1600 1660 1760 1826 1936 2000 2032 2048 2075 2200 2420 2540 2560 2656 2750 2794 2816 3025 3175 3200 3320 3520 3652 3872 4000 4064 4096 4150 4400 4565 4840 5080 5120 5312 5500 5588 5632 6050 6350 6400 6640 6985 7040 7304 7744 8000 8128 8192 8300 8800 9130 9680 10043 10160 10240 10375 10541 10624 11000 11176 11264 12100 12700 12800 13280 13970 14080 14608 15125 15367 15488 15875 16000 16129 16256 16384 16600 17600 18260 19360 20086 20320 20480 20750 21082 21248 22000 22352 22528 22825 24200 25400 25600 26560 27940 28160 29216 30250 30734 30976 31750 32000 32258 32512 33200 34925 35200 36520 38720 40172 40640 40960 41500 42164 42496 44000 44704 45056 45650 48400 50215 50800 51200 52705 53120 55880 56320 58432 60500 61468 61952 63500 64000 64516 65024 66400 69850 70400 73040 76835 77440 80344 80645 81280 81920 83000 84328 84992 88000 89408 90112 91300 96800 100430 101600 102400 105410 106240 111760 112640 114125 115951 116864 121000 122936 123904 127000 128000 129032 130048 132800 139700 140800 146080 153670 154880 160688 161290 162560 166000 168656 169984 174625 176000 177419 178816 180224 182600 193600 200860 203200 204800 210820 212480 223520 225280 228250 231902 233728 242000 245872 247808 251075 254000 256000 258064 260096 263525 265600 279400 281600 292160 307340 309760 321376 322580 325120 332000 337312 339968 349250 352000 354838 357632 365200 384175 387200 401720 403225 406400 409600 421640 424960 447040 450560 456500 463804 467456 484000 491744 495616 502150 508000 512000 516128 520192 527050 531200 558800 563200 579755 584320 614680 619520 642752 645160 650240 664000 674624 679936 698500 704000 709676 715264 730400 768350 774400 803440 806450 812800 843280 849920 887095 894080 901120 913000 927608 934912 968000 983488 991232 1004300 1016000 1024000 1032256 1040384 1054100 1062400 1117600 1126400 1159510 1168640 1229360 1239040 1255375 1275461 1285504 1290320 1300480 1317625 1328000 1338707 1349248 1359872 1397000 1408000 1419352 1430528 1460800 1536700 1548800 1606880 1612900 1625600 1686560 1699840 1774190 1788160 1826000 1855216 1869824 1920875 1936000 1951609 1966976 1982464 2008600 2016125 2032000 2048000 2048383 2064512 2080768 2108200 2124800 2235200 2252800 2319020 2337280 2458720 2478080 2510750 2550922 2571008 2580640 2600960 2635250 2656000 2677414 2698496 2794000 2816000 2838704 2861056 2898775 2921600 3073400 3097600 3213760 3225800 3251200 3373120 3399680 3548380 3576320 3652000 3710432 3739648 3841750 3872000 3903218 3933952 4017200 4032250 4064000 4096766 4129024 4216400 4249600 4435475 4470400 4505600 4638040 4674560 4917440 4956160 5021500 5101844 5142016 5161280 5201920 5270500 5312000 5354828 5396992 5588000 5632000 5677408 5722112 5797550 5843200 6146800 6195200 6377305 6427520 6451600 6502400 6693535 6746240 6799360 7096760 7152640 7304000 7420864 7479296 7683500 7744000 7806436 7867904 8034400 8064500 8128000 8193532 8258048 8432800 8499200 8870950 8940800 9276080 9349120 9758045 9834880 9912320 10043000 10203688 10241915 10284032 10322560 10403840 10541000 10624000 10709656 10793984 11176000 11264000 11354816 11444224 11595100 11686400 12293600 12390400 12754610 12855040 12903200 13004800 13387070 13492480 14193520 14305280 14493875 14608000 14725777 14841728 14958592 15367000 15488000 15612872 15735808 16068800 16129000 16256000 16387064 16516096 16865600 16998400 17741900 17881600 18552160 18698240 19516090 19669760 20086000 20407376 20483830 20568064 20645120 21082000 21248000 21419312 21587968 22177375 22352000 22528000 22532213 22709632 22888448 23190200 23372800 24587200 24780800 25509220 25710080 25806400 26009600 26774140 26984960 28387040 28610560 28987750 29216000 29451554 29683456 30734000 30976000 31225744 31471616 31886525 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108810104960 109666877440 115364930560 117806216000 118733824000 119691115456 120633565184 123927171500 124902976000 126901423616 129586837600 130607206400 131096512000 136012631200 137083596800 144206163200 149613894320 150791956480 158626779520 159875809280 161983547000 163259008000 164575283752 165871152128 167803535360 170015789000 171354496000 174096167936 180257704000 181677056000 184583888896 187017367900 188489945600 198283474400 199844761600 205719104690 207338940160 209754419200 217620209920 230729861120 233771709875 235612432000 237467648000 239382230912 241267130368 247854343000 249805952000 253802847232 259173675200 261214412800 262193024000 272025262400 274167193600 288412326400 299227788640 301583912960 317253559040 323967094000 326518016000 329150567504 331742304256 340031578000 342708992000 348192335872 360515408000 363354112000 369167777792 374034735800 376979891200 396566948800 399689523200 411438209380 414677880320 419508838400 435240419840 461459722240 467543419750 471224864000 478764461824 495708686000 499611904000 507605694464 514297761725 518347350400 522428825600 524386048000 544050524800 548334387200 576824652800 598455577280 603167825920 634507118080 647934188000 653036032000 658301135008 663484608512 680063156000 685417984000 696384671744 721030816000 748069471600 753959782400 793133897600 799379046400 822876418760 829355760640 839017676800 870480839680 922919444480 935086839500 942449728000 957528923648 991417372000 999223808000 1015211388928 1028595523450 1036694700800 1048772096000 1088101049600 1153649305600 1196911154560 1206335651840 1269014236160 1295868376000 1306072064000 1316602270016 1326969217024 1360126312000 1370835968000 1392769343488 1442061632000 1496138943200 1507919564800 1586267795200 1645752837520 1658711521280 1740961679360 1845838888960 1870173679000 1884899456000 1915057847296 1982834744000 1998447616000 2030422777856 2057191046900 2073389401600 2097544192000 2176202099200 2307298611200 2393822309120 2538028472320 2571488808625 2591736752000 2612144128000 2633204540032 2653938434048 2720252624000 2741671936000 2785538686976 2884123264000 2992277886400 3015839129600 3172535590400 3291505675040 3317423042560 3481923358720 3740347358000 3769798912000 3830115694592 3965669488000 3996895232000 4060845555712 4114382093800 4146778803200 4195088384000 4352404198400 4614597222400 4787644618240 5076056944640 5142977617250 5183473504000 5266409080064 5440505248000 5768246528000 5984555772800 6031678259200 6345071180800 6583011350080 6634846085120 6963846717440 7480694716000 7539597824000 7660231389184 7931338976000 8228764187600 8293557606400 8704808396800 9229194444800 9575289236480 10152113889280 10285955234500 10366947008000 10532818160128 10881010496000 11536493056000 11969111545600 12690142361600 13166022700160 13269692170240 13927693434880 14961389432000 15079195648000 15320462778368 15862677952000 16457528375200 16587115212800 17409616793600 19150578472960 20304227778560 20571910469000 20733894016000 21065636320256 21762020992000 23072986112000 23938223091200 25380284723200 26332045400320 29922778864000 30158391296000 30640925556736 31725355904000 32915056750400 33174230425600 34819233587200 38301156945920 41143820938000 41467788032000 42131272640512 43524041984000 46145972224000 47876446182400 50760569446400 52664090800640 59845557728000 63450711808000 65830113500800 66348460851200 69638467174400 76602313891840 82287641876000 82935576064000 84262545281024 87048083968000 95752892364800 101521138892800 105328181601280 119691115456000 126901423616000 131660227001600 153204627783680 164575283752000 165871152128000 168525090562048 174096167936000 191505784729600 210656363202560 239382230912000 253802847232000 263320454003200 329150567504000 331742304256000 337050181124096 348192335872000 383011569459200 421312726405120 478764461824000 507605694464000 526640908006400 658301135008000 766023138918400 842625452810240 957528923648000 1053281816012800 1316602270016000 1685250905620480 1915057847296000 2106563632025600 2633204540032000 3830115694592000 4213127264051200 5266409080064000 8426254528102400 10532818160128000 21065636320256000 42131272640512000
- Sum of all divisors σ(n): 117906173081948160
- Sum of proper divisors (its aliquot sum) s(n): 75774900441436160
- 42131272640512000 is an abundant number, because the sum of its proper divisors (75774900441436160) is greater than itself. Its abundance is 33643627800924160
Bases of 42131272640512000
- Binary: 100101011010111000101011010100111010110001000000000000002
- Hexadecimal: 0x95AE2B53AC4000
- Base-36: BIUAFGCXQF4
Squares and roots of 42131272640512000
- 42131272640512000 squared (421312726405120002) is 1775044134309154992783622144000000
- 42131272640512000 cubed (421312726405120003) is 74784868371520609645750304431910554697728000000000
-
The
square root of 42131272640512000 is 205259037.9021396465 -
The
cube root of 42131272640512000 is 347964.4364076553
Scales and comparisons
How big is 42131272640512000?- 42,131,272,640,512,000 seconds is equal to 1,339,644,149 years, 20 weeks, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,131,272,640,512,000 would take you about four billion, eighteen million, nine hundred thirty-two thousand, four hundred forty-eight 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 42131272640512000 cubic inches would be around 28997 feet tall.
Recreational maths with 42131272640512000
- 42131272640512000 backwards is 00021504627213124
- 42131272640512000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42131272640512000's digits is 40
- More coming soon!
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The information we have on file for 42131272640512000 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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