42444252118125
42,444,252,118,125 is an odd composite number composed of seven prime numbers multiplied together.
42444252118125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42444252118125:
32 × 54 × 112 × 13 × 29 × 53 × 3121
(3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 29 × 53 × 3121)See below for interesting mathematical facts about the number 42444252118125 from the Numbermatics database.
Names of 42444252118125
- Cardinal: 42444252118125 can be written as Forty-two trillion, four hundred forty-four billion, two hundred fifty-two million, one hundred eighteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2444252118125 × 1013
Factors of 42444252118125
Divisors of 42444252118125
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 9 11 13 15 25 29 33 39 45 53 55 65 75 87 99 117 121 125 143 145 159 165 195 225 261 265 275 319 325 363 375 377 429 435 477 495 583 585 605 625 689 715 725 795 825 957 975 1089 1125 1131 1287 1305 1325 1375 1537 1573 1595 1625 1749 1815 1875 1885 2067 2145 2175 2385 2475 2871 2915 2925 3025 3121 3393 3445 3509 3575 3625 3975 4125 4147 4611 4719 4785 4875 5247 5445 5625 5655 6201 6413 6435 6525 6625 6875 7579 7685 7865 7975 8125 8745 9075 9363 9425 10335 10527 10725 10875 11925 12375 12441 13833 14157 14355 14575 14625 15125 15605 16907 16965 17225 17545 17875 18125 19239 19875 19981 20625 20735 22737 23055 23595 23925 24375 26235 27225 28089 28275 31005 31581 32065 32175 32625 33125 34331 37323 37895 38425 39325 39875 40573 43725 45375 45617 46815 47125 50721 51675 52635 53625 54375 57717 59625 59943 61875 62205 68211 69165 70785 71775 72875 73125 75625 78025 83369 84535 84825 86125 87725 89375 90509 96195 99375 99905 102993 103675 113685 115275 117975 119625 121719 131175 136125 136851 140445 141375 152163 155025 157905 160325 160875 163125 165413 171655 179829 185977 186615 189475 192125 196625 199375 202865 218625 219791 226875 228085 234075 235625 250107 253605 258375 263175 268125 271527 288585 298125 299715 308979 311025 341055 345825 353925 358875 364375 365157 377641 390125 410553 416845 422675 424125 430625 438625 446303 452545 480975 496239 499525 514965 518375 557931 568425 576375 589875 598125 608595 655875 659373 680625 684255 702225 706875 750321 760815 775125 789525 801625 804375 814581 827065 858275 899145 929885 933075 947375 960625 983125 995599 1014325 1093125 1098955 1132923 1140425 1170375 1176617 1250535 1268025 1291875 1315875 1338909 1357635 1442925 1488717 1498575 1544895 1555125 1673793 1705275 1729125 1769625 1794375 1819543 1825785 1888205 1950625 1978119 2052765 2084225 2113375 2120625 2150369 2193125 2231515 2262725 2404875 2417701 2481195 2497625 2574825 2591875 2789655 2842125 2881875 2949375 2986797 3042975 3279375 3296865 3398769 3421275 3511125 3529851 3751605 3804075 3875625 3947625 4008125 4016727 4072905 4135325 4291375 4495725 4649425 4665375 4736875 4796977 4909333 4977995 5071625 5458629 5494775 5664615 5702125 5851875 5883085 6252675 6340125 6451107 6579375 6694545 6788175 7214625 7253103 7443585 7492875 7724475 7775625 8368965 8526375 8645625 8848125 8960391 9097715 9128925 9441025 9890595 10263825 10421125 10566875 10589553 10751845 10951589 11157575 11313625 12024375 12088505 12405975 12488125 12874125 12942787 13948275 14210625 14390931 14727999 14933985 15214875 16375887 16484325 16993845 17106375 17555625 17649255 18758025 19020375 19353321 19738125 20014973 20083635 20364525 20676625 21456875 21759309 22478625 23247125 23326875 23654059 23984885 24546665 24889975 25358125 27293145 27473875 28323075 28510625 29415425 31263375 31700625 32255535 32854767 33472725 33940875 36073125 36265515 37217925 37464375 38622375 38828361 41844825 42631875 43172793 44183997 44801955 45488575 45644625 47205125 49452975 51319125 52105625 52766747 52947765 53759225 54757945 55787875 56568125 60044919 60442525 62029875 62360701 64370625 64713935 69741375 70962177 71954655 73639995 74669925 76074375 81879435 82421625 84969225 85531875 88246275 93790125 95101875 96766605 98564301 100074865 100418175 101822625 103383125 108796545 112393125 116235625 116485083 118270295 119924425 122733325 124449875 136465725 137369375 141615375 142370657 147077125 156316875 158300241 161277675 164273835 167363625 169704375 180134757 181327575 186089625 187082103 193111875 194141805 209224125 212886531 215863965 220919985 224009775 227442875 228223125 236025625 247264875 256595625 260194649 263833735 264738825 268796125 273789725 278939375 300224595 302212625 310149375 311803505 323569675 348706875 354810885 359773275 368199975 373349625 409397175 412108125 424846125 427111971 441231375 468950625 474900723 483833025 492821505 500374325 502090875 509113125 543982725 561246309 580434217 582425415 591351475 599622125 613666625 622249375 682328625 685967711 708076875 711853285 735385625 780583947 791501205 806388375 821369175 836818125 900673785 906637875 930448125 935410515 970709025 1046120625 1064432655 1079319825 1104599925 1120048875 1137214375 1236324375 1281335913 1300973245 1319168675 1323694125 1343980625 1368948625 1501122975 1511063125 1559017525 1617848375 1741302651 1774054425 1798866375 1840999875 1866748125 2046985875 2057903133 2124230625 2135559855 2206156875 2341751841 2374503615 2419165125 2464107525 2501871625 2510454375 2719913625 2806231545 2902171085 2912127075 2956757375 2998110625 3068333125 3411643125 3429838555 3559266425 3902919735 3957506025 4031941875 4106845875 4503368925 4533189375 4677052575 4853545125 5223907953 5322163275 5396599125 5522999625 5600244375 6173709399 6406679565 6504866225 6595843375 6618470625 6844743125 7505614875 7545644821 7795087625 8089241875 8706513255 8870272125 8994331875 9204999375 10234929375 10289515665 10677799275 11708759205 11872518075 12095825625 12320537625 12509358125 13599568125 14031157725 14510855425 14560635375 14783786875 17149192775 17796332125 19514598675 19787530125 20534229375 22516844625 22636934463 23385262875 24267725625 26119539765 26610816375 26982995625 27614998125 30868546995 32033397825 32524331125 32979216875 37528074375 37728224105 38975438125 43532566275 44351360625 51447578325 53388996375 58543796025 59362590375 61602688125 67910803389 70155788625 72554277125 72803176875 85745963875 88981660625 97572993375 98937650625 112584223125 113184672315 116926314375 130597698825 133054081875 154342734975 160166989125 162621655625 188641120525 217662831375 257237891625 266944981875 292718980125 296812951875 339554016945 350778943125 362771385625 428729819375 487864966875 565923361575 652988494125 771713674875 800834945625 943205602625 1088314156875 1286189458125 1463594900625 1697770084725 2829616807875 3264942470625 3858568374375 4716028013125 8488850423625 14148084039375 42444252118125
- Sum of all divisors σ(n): 95614107629040
- Sum of proper divisors (its aliquot sum) s(n): 53169855510915
- 42444252118125 is an abundant number, because the sum of its proper divisors (53169855510915) is greater than itself. Its abundance is 10725603392790
Bases of 42444252118125
- Binary: 10011010011010010100101001000111111100011011012
- Hexadecimal: 0x269A5291FC6D
- Base-36: F1MMBTZL9
Squares and roots of 42444252118125
- 42444252118125 squared (424442521181252) is 1801514537866958548953515625
- 42444252118125 cubed (424442521181253) is 76463937239692635910871832068571533203125
-
The
square root of 42444252118125 is 6514925.3348081435 -
The
cube root of 42444252118125 is 34882.3949647785
Scales and comparisons
How big is 42444252118125?- 42,444,252,118,125 seconds is equal to 1,349,595 years, 48 weeks, 2 days, 48 minutes, 45 seconds.
-
To count from 1 to 42,444,252,118,125 would take you about three million, three hundred seventy-three thousand, nine hundred eighty-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 42444252118125 cubic inches would be around 2906.9 feet tall.
Recreational maths with 42444252118125
- 42444252118125 backwards is 52181125244424
- 42444252118125 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42444252118125's digits is 45
- More coming soon!
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