42638945172525
42,638,945,172,525 is an odd composite number composed of six prime numbers multiplied together.
What does the number 42638945172525 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
42638945172525 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42638945172525:
38 × 52 × 132 × 292 × 31 × 59
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 29 × 29 × 31 × 59)See below for interesting mathematical facts about the number 42638945172525 from the Numbermatics database.
Names of 42638945172525
- Cardinal: 42638945172525 can be written as Forty-two trillion, six hundred thirty-eight billion, nine hundred forty-five million, one hundred seventy-two thousand, five hundred twenty-five.
Scientific notation
- Scientific notation: 4.2638945172525 × 1013
Factors of 42638945172525
Divisors of 42638945172525
- Number of divisors d(n): 972
-
Complete list of divisors:
1 3 5 9 13 15 25 27 29 31 39 45 59 65 75 81 87 93 117 135 145 155 169 177 195 225 243 261 279 295 325 351 377 403 405 435 465 507 531 585 675 725 729 767 775 783 837 841 845 885 899 975 1053 1131 1209 1215 1305 1395 1475 1521 1593 1711 1755 1829 1885 2015 2025 2175 2187 2301 2325 2349 2511 2523 2535 2655 2697 2925 3159 3393 3627 3645 3835 3915 4185 4205 4225 4425 4495 4563 4779 4901 5133 5239 5265 5487 5655 6045 6075 6525 6561 6903 6975 7047 7533 7569 7605 7965 8091 8555 8775 9145 9425 9477 9971 10075 10179 10881 10933 10935 11505 11687 11745 12555 12615 12675 13275 13485 13689 14337 14703 15399 15717 15795 16461 16965 18135 18225 19175 19575 20709 20925 21025 21141 22243 22475 22599 22707 22815 23777 23895 24273 24505 25665 26071 26195 26325 27435 28275 28431 29913 30225 30537 32643 32799 32805 34515 35061 35235 37665 37845 38025 39825 40455 41067 42775 43011 44109 45725 46197 47151 47385 49383 49619 49855 50895 53041 54405 54665 54675 57525 58435 58725 62127 62775 63075 63423 66729 67425 67797 68121 68445 71331 71685 72819 73515 76995 78213 78585 78975 82305 84825 85293 89739 90675 91611 97929 98397 103545 105183 105705 111215 112995 113535 114075 118885 119475 121365 122525 123201 128325 129033 130355 130975 132327 137175 138591 141453 142129 142155 148149 148857 149565 151931 152685 159123 163215 163995 164025 172575 175305 176175 186381 188325 189225 190269 200187 202275 203391 204363 205335 213993 215055 218457 220545 230985 234639 235755 236925 246915 248095 249275 254475 265205 269217 272025 273325 274833 289159 292175 293787 295191 309101 310635 315549 317115 333645 338923 338985 340605 342225 356655 358425 364095 367575 369603 384975 387099 391065 392925 396981 411525 415773 424359 426387 426465 444447 446571 448695 455793 458055 477369 489645 491985 517725 525915 528525 556075 559143 564975 567675 594425 600561 606825 613089 616005 641979 645047 645165 651775 655371 661635 689533 692955 703917 707265 710645 710775 740745 744285 747825 759655 763425 795615 807651 816075 819975 824499 867477 876525 881361 885573 927303 931905 946647 951345 1000935 1016769 1016955 1021815 1026675 1069965 1075275 1092285 1102725 1108809 1154925 1173195 1178775 1190943 1234575 1240475 1247319 1273077 1279161 1326025 1333341 1339713 1346085 1367379 1374165 1432107 1445795 1468935 1475955 1538189 1545505 1553175 1577745 1585575 1668225 1677429 1694615 1694925 1703025 1783275 1801683 1820475 1839267 1848015 1925937 1935141 1935495 1955325 1966113 1984905 2068599 2078865 2111751 2121795 2131935 2132325 2222235 2232855 2243475 2278965 2290275 2386845 2422953 2448225 2459925 2473497 2602431 2629575 2644083 2656719 2781909 2795715 2839941 3002805 3050307 3065445 3080025 3209895 3225235 3225825 3276855 3308175 3447665 3464775 3519585 3536325 3553225 3572829 3703725 3721425 3741957 3798275 3819231 3837483 3978075 4000023 4019139 4038255 4102137 4122495 4296321 4337385 4405999 4406805 4427865 4614567 4636515 4659525 4733235 4756725 5004675 5032287 5083845 5084775 5109075 5349825 5405049 5461425 5517801 5544045 5777811 5805423 5865975 5898339 5954715 6205797 6236595 6335253 6365385 6395805 6666705 6698565 6730425 6836895 6870825 7160535 7228975 7268859 7344675 7379775 7690945 7727525 7807293 7888725 7970157 8345727 8385611 8387145 8473075 8519823 8963929 9008415 9150921 9196335 9240075 9629685 9675705 9677475 9830565 9924525 10342995 10394325 10558755 10608975 10659675 10718487 11111175 11164275 11225871 11394825 11457693 11512449 11934225 12000069 12057417 12114765 12306411 12367485 12888963 13012155 13217997 13220415 13283595 13843701 13909545 13978575 14199705 15014025 15251535 15327225 16049475 16126175 16215147 16384275 17238325 17333433 17416269 17597925 17864145 18617391 18709785 19005759 19096155 19187415 19996457 20000115 20095695 20191275 20510685 20612475 21481605 21686925 21806577 22029995 22034025 22139325 23072835 23182575 23421879 23666175 23910471 25037181 25156833 25161435 25419225 25559469 26891787 27025245 27452763 27589005 27720225 28889055 29027115 29491695 29773575 31028985 31182975 31676265 31826925 31979025 32155461 33333525 33492825 34184475 34373079 34537347 35802675 36172251 36344295 36919233 38454725 38666889 39036465 39653991 39850785 41531103 41728635 41928055 41935725 42599115 44819645 45042075 45754605 45981675 48148425 48378525 48645441 49152825 51714975 52000299 52248807 52793775 53592435 55852173 56129355 57017277 57288465 57562245 59989371 60000345 60287085 60573825 61532055 61837425 64444815 65060775 65419731 66089985 66102075 66417975 69218505 69547725 70265637 70998525 71731413 75111543 75470499 76257675 76678407 80675361 81075735 82358289 86667165 87081345 89320725 93086955 93548925 95028795 95480775 95937075 99982285 100000575 100478475 102553425 103612041 107408025 108516753 109032885 110149975 110757699 115364175 116000667 117109395 118961973 119552355 124593309 125185905 125784165 125807175 127797345 134458935 135126225 137263815 137945025 144445275 145135575 145936323 147458475 155144925 156000897 156746421 158381325 160777305 167556519 171051831 171865395 172686735 179968113 180861255 181721475 184596165 193334445 195182325 198269955 199253925 207655515 208643175 209640275 210796911 212995575 224098225 225334629 226411497 228773025 242026083 243227205 247074867 259953941 260001495 261244035 267962175 279260865 280646775 285086385 286442325 287811225 299946855 300001725 301435425 307660275 310836123 322224075 325550259 327098655 330449925 332273097 346092525 348002001 351328185 356885919 358657065 373779927 375557715 377352495 383392035 403376805 405378675 411791445 433335825 435406725 465434775 470239263 475143975 499911425 502669557 518060205 539904339 542583765 545164425 553788495 580003335 585546975 594809865 597761775 622966545 625929525 628920825 632390733 638986725 672294675 676003887 679234491 686319075 726078249 729681615 741224601 779861823 780004485 783732105 803886525 837782595 855259155 859326975 863433675 899840565 904306275 922980825 932508369 966672225 991349775 996819291 1038277575 1053984555 1070657757 1121339781 1126673145 1132057485 1210130415 1216136025 1235374335 1299769705 1300007475 1306220175 1396304325 1410717789 1425431925 1499734275 1508008671 1554180615 1619713017 1627751295 1635493275 1661365485 1740010005 1756640925 1784429595 1793285325 1868899635 1877788575 1886762475 1897172199 1916960175 2016884025 2028011661 2037703473 2058957225 2178234747 2223673803 2339585469 2351196315 2513347785 2590301025 2699521695 2712918825 2768942475 2900016675 2974049325 3114832725 3161953665 3211973271 3364019343 3380019435 3396172455 3630391245 3648408075 3706123005 3899309115 3900022425 3918660525 4188912975 4232153367 4276295775 4499202825 4524026013 4662541845 4859139051 4984096455 5269922775 5353288785 5606698905 5633365725 5660287425 6050652075 6113110419 6176871675 6498848525 6534704241 7018756407 7053588945 7540043355 7770903075 8098565085 8138756475 8306827425 8700050025 8922147975 9344498175 9485860995 9635919813 10092058029 10140058305 10188517365 10891173735 11118369015 11697927345 11755981575 12566738925 13497608475 14577417153 15809768325 16059866355 16820096715 16900097175 16980862275 18151956225 18339331257 18530615025 19496545575 19604112723 21056269221 21160766835 22620130065 23312709225 24295695255 24920482275 26766443925 28033494525 28907759439 30565552095 32673521205 35093782035 35267944725 37700216775 40492825425 43732251459 47429304975 48179599065 50460290145 50700291525 50942586825 54455868675 55017993771 55591845075 58489636725 58812338169 63168807663 72887085765 80299331775 84100483575 91696656285 98020563615 105281346105 105803834175 113100650325 121478476275 131196754377 144538797195 152827760475 163367606025 175468910175 189506422989 218661257295 240897995325 252301450725 275089968855 294061690845 315844038315 364435428825 458483281425 490102818075 526406730525 568519268967 655983771885 722693985975 947532114945 1093306286475 1375449844275 1470308454225 1579220191575 1705557806901 2842596344835 3279918859425 4737660574725 8527789034505 14212981724175 42638945172525
- Sum of all divisors σ(n): 93362269253760
- Sum of proper divisors (its aliquot sum) s(n): 50723324081235
- 42638945172525 is an abundant number, because the sum of its proper divisors (50723324081235) is greater than itself. Its abundance is 8084378908710
Bases of 42638945172525
- Binary: 10011011000111101001110010111000111100001011012
- Hexadecimal: 0x26C7A72E3C2D
- Base-36: F44271TT9
Squares and roots of 42638945172525
- 42638945172525 squared (426389451725252) is 1818079645425593002014875625
- 42638945172525 cubed (426389451725253) is 77520998320585552432347603628832042203125
-
The
square root of 42638945172525 is 6529850.3177733715 -
The
cube root of 42638945172525 is 34935.6491512031
Scales and comparisons
How big is 42638945172525?- 42,638,945,172,525 seconds is equal to 1,355,786 years, 29 weeks, 2 days, 20 hours, 48 minutes, 45 seconds.
-
To count from 1 to 42,638,945,172,525 would take you about three million, three hundred eighty-nine thousand, four hundred sixty-six 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 42638945172525 cubic inches would be around 2911.3 feet tall.
Recreational maths with 42638945172525
- 42638945172525 backwards is 52527154983624
- The number of decimal digits it has is: 14
- The sum of 42638945172525's digits is 63
- More coming soon!
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The information we have on file for 42638945172525 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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