42264216468480
42,264,216,468,480 is an even composite number composed of seven prime numbers multiplied together.
42264216468480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 42264216468480:
210 × 3 × 5 × 61 × 97 × 149 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 61 × 97 × 149 × 3121)See below for interesting mathematical facts about the number 42264216468480 from the Numbermatics database.
Names of 42264216468480
- Cardinal: 42264216468480 can be written as Forty-two trillion, two hundred sixty-four billion, two hundred sixteen million, four hundred sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.226421646848 × 1013
Factors of 42264216468480
Divisors of 42264216468480
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 97 120 122 128 149 160 183 192 194 240 244 256 291 298 305 320 366 384 388 447 480 485 488 512 582 596 610 640 732 745 768 776 894 915 960 970 976 1024 1164 1192 1220 1280 1455 1464 1490 1536 1552 1788 1830 1920 1940 1952 2235 2328 2384 2440 2560 2910 2928 2980 3072 3104 3121 3576 3660 3840 3880 3904 4470 4656 4768 4880 5120 5820 5856 5917 5960 6208 6242 7152 7320 7680 7760 7808 8940 9089 9312 9363 9536 9760 11640 11712 11834 11920 12416 12484 14304 14453 14640 15360 15520 15605 15616 17751 17880 18178 18624 18726 19072 19520 23280 23424 23668 23840 24832 24968 27267 28608 28906 29280 29585 31040 31210 31232 35502 35760 36356 37248 37452 38144 39040 43359 45445 46560 46815 46848 47336 47680 49664 49936 54534 57216 57812 58560 59170 62080 62420 62464 71004 71520 72265 72712 74496 74904 76288 78080 86718 88755 90890 93120 93630 93696 94672 95360 99328 99872 109068 114432 115624 117120 118340 124160 124840 136335 142008 143040 144530 145424 148992 149808 152576 156160 173436 177510 181780 186240 187260 187392 189344 190381 190720 199744 216795 218136 228864 231248 234240 236680 248320 249680 272670 284016 286080 289060 290848 297984 299616 302737 312320 346872 355020 363560 372480 374520 378688 380762 381440 399488 433590 436272 457728 462496 465029 468480 473360 496640 499360 545340 568032 571143 572160 578120 581696 599232 605474 693744 710040 727120 744960 749040 757376 761524 762880 798976 867180 872544 881633 908211 924992 930058 936960 946720 951905 998720 1090680 1136064 1142286 1144320 1156240 1163392 1198464 1210948 1387488 1395087 1420080 1454240 1489920 1498080 1513685 1514752 1523048 1597952 1734360 1745088 1763266 1816422 1849984 1860116 1893440 1903810 1997440 2181360 2272128 2284572 2288640 2312480 2325145 2326784 2396928 2421896 2644899 2774976 2790174 2840160 2855715 2908480 2996160 3027370 3029504 3046096 3195904 3468720 3490176 3526532 3632844 3699968 3720232 3786880 3807620 3994880 4362720 4408165 4541055 4544256 4569144 4624960 4650290 4653568 4793856 4843792 5289798 5549952 5580348 5680320 5711430 5816960 5992320 6054740 6059008 6092192 6937440 6975435 6980352 7053064 7265688 7399936 7440464 7573760 7615240 7989760 8725440 8816330 9082110 9088512 9138288 9249920 9300580 9307136 9587712 9687584 10579596 11099904 11160696 11360640 11422860 11633920 11984640 12109480 12184384 13224495 13874880 13950870 13960704 14106128 14531376 14799872 14880928 15147520 15230480 15979520 17450880 17632660 18164220 18177024 18276576 18466957 18499840 18601160 19375168 21159192 22199808 22321392 22721280 22845720 23267840 23969280 24218960 24368768 26448990 27749760 27901740 27921408 28212256 28366769 29062752 29761856 30295040 30460960 34901760 35265320 36328440 36553152 36933914 36999680 37202320 38750336 42318384 44399616 44642784 45107813 45442560 45691440 46535680 47938560 48437920 48737536 52897980 55400871 55499520 55803480 56424512 56733538 58125504 59523712 60921920 69803520 70530640 72656880 73106304 73867828 73999360 74404640 77500672 84636768 85100307 89285568 90215626 90885120 91382880 92334785 96875840 97475072 105795960 110801742 110999040 111606960 112849024 113467076 116251008 119047424 121843840 135323439 139607040 141061280 141833845 145313760 146212608 147735656 148809280 155001344 169273536 170200614 178571136 180431252 182765760 184669570 193751680 194950144 211591920 221603484 221998080 223213920 225539065 225698048 226934152 232502016 238094848 243687680 270646878 277004355 282122560 283667690 290627520 292425216 295471312 297618560 310002688 338547072 340401228 357142272 360862504 365531520 369339140 387503360 423183840 425501535 443206968 446427840 451078130 451396096 453868304 465004032 476189696 487375360 541293756 554008710 564245120 567335380 581255040 584850432 590942624 595237120 676617195 677094144 680802456 714284544 721725008 731063040 738678280 775006720 846367680 851003070 886413936 892855680 902156260 902792192 907736608 930008064 974750720 1082587512 1108017420 1128490240 1134670760 1162510080 1181885248 1190474240 1353234390 1354188288 1361604912 1428569088 1443450016 1462126080 1477356560 1550013440 1692735360 1702006140 1772827872 1785711360 1804312520 1815473216 2165175024 2216034840 2256980480 2269341520 2325020160 2363770496 2380948480 2706468780 2708376576 2723209824 2751576593 2886900032 2924252160 2954713120 3385470720 3404012280 3545655744 3571422720 3608625040 3630946432 4330350048 4432069680 4513960960 4538683040 4650040320 4727540992 5412937560 5446419648 5503153186 5773800064 5909426240 6770941440 6808024560 7091311488 7142845440 7217250080 7261892864 8254729779 8660700096 8864139360 9077366080 9455081984 10825875120 10892839296 11006306372 11547600128 11818852480 13541882880 13616049120 13757882965 14182622976 14434500160 14523785728 16509459558 17321400192 17728278720 18154732160 18910163968 21651750240 21785678592 22012612744 23095200256 23637704960 27232098240 27515765930 28365245952 28869000320 29047571456 33018919116 34642800384 35456557440 36309464320 41273648895 43303500480 43571357184 44025225488 46190400512 47275409920 54464196480 55031531860 56730491904 57738000640 66037838232 69285600768 70913114880 72618928640 82547297790 86607000960 87142714368 88050450976 94550819840 108928392960 110063063720 115476001280 132075676464 138571201536 141826229760 145237857280 165094595580 173214001920 176100901952 217856785920 220126127440 230952002560 264151352928 283652459520 330189191160 346428003840 352201803904 435713571840 440252254880 528302705856 660378382320 692856007680 704403607808 880504509760 1056605411712 1320756764640 1408807215616 1761009019520 2113210823424 2641513529280 2817614431232 3522018039040 4226421646848 5283027058560 7044036078080 8452843293696 10566054117120 14088072156160 21132108234240 42264216468480
- Sum of all divisors σ(n): 139788359222400
- Sum of proper divisors (its aliquot sum) s(n): 97524142753920
- 42264216468480 is an abundant number, because the sum of its proper divisors (97524142753920) is greater than itself. Its abundance is 55259926285440
Bases of 42264216468480
- Binary: 10011001110000011001111001101111111100000000002
- Hexadecimal: 0x2670679BFC00
- Base-36: EZBWV979C
Squares and roots of 42264216468480
- 42264216468480 squared (422642164684802) is 1786263993694536042833510400
- 42264216468480 cubed (422642164684803) is 75495048099357465100116980930489352192000
-
The
square root of 42264216468480 is 6501093.4825212289 -
The
cube root of 42264216468480 is 34833.0048848555
Scales and comparisons
How big is 42264216468480?- 42,264,216,468,480 seconds is equal to 1,343,871 years, 18 weeks, 2 days, 2 hours, 8 minutes.
-
To count from 1 to 42,264,216,468,480 would take you about three million, three hundred fifty-nine thousand, six hundred seventy-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 42264216468480 cubic inches would be around 2902.8 feet tall.
Recreational maths with 42264216468480
- 42264216468480 backwards is 08486461246224
- The number of decimal digits it has is: 14
- The sum of 42264216468480's digits is 57
- More coming soon!
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