42478920459136

Names of 42478920459136

• Cardinal: 42478920459136 can be written as Forty-two trillion, four hundred seventy-eight billion, nine hundred twenty million, four hundred fifty-nine thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 4.2478920459136 × 10¹³

Factors of 42478920459136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4343

Divisors of 42478920459136

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 14 16 17 19 28 32 34 37 38 49 56 64 68 74 76 98 112 119 128 133 136 148 152 196 224 238 259 266 272 296 304 323 343 361 392 448 476 518 532 544 592 608 629 646 686 703 722 784 833 896 931 952 1036 1064 1088 1184 1216 1258 1292 1372 1406 1444 1568 1666 1813 1862 1904 2072 2128 2176 2261 2368 2432 2516 2527 2584 2744 2812 2888 3136 3332 3626 3724 3808 4144 4256 4261 4403 4522 4736 4921 5032 5054 5168 5488 5624 5776 5831 6137 6272 6517 6664 7252 7448 7616 8288 8512 8522 8806 9044 9842 10064 10108 10336 10976 11248 11552 11662 11951 12274 12691 13034 13328 13357 14504 14896 15232 15827 16576 17024 17044 17612 17689 18088 19684 20128 20216 20672 21952 22496 23104 23324 23902 24548 25382 26068 26656 26714 29008 29792 29827 30821 31654 33152 34088 34447 35224 35378 36176 39368 40256 40432 41344 42959 43904 44992 46208 46648 47804 49096 50764 52136 53312 53428 58016 59584 59654 61642 63308 68176 68894 70448 70756 72352 72437 78736 80512 80864 80959 83657 85918 89984 93296 93499 95608 98192 101528 104272 106624 106856 110789 116032 119168 119308 123284 123823 126616 136352 137788 140896 141512 144704 144874 157472 157657 161728 161918 167314 171836 186592 186998 191216 196384 203056 208544 208789 213712 215747 221578 227069 232064 238616 241129 246568 247646 253232 272704 275576 281792 283024 289408 289748 300713 314944 315314 323456 323836 334628 343672 373184 373996 382432 392768 406112 417088 417578 427424 431494 443156 454138 477232 482258 493136 495292 506464 507059 545408 551152 563584 566048 566713 579496 585599 601426 629888 630628 647672 654493 669256 687344 746368 747992 764864 785536 812224 834176 835156 854848 862988 886312 908276 954464 964516 986272 990584 1012928 1014118 1102304 1103599 1132096 1133426 1158992 1171198 1202852 1261256 1295344 1308986 1338512 1374688 1376303 1461523 1495984 1529728 1538221 1589483 1624448 1670312 1709696 1725976 1772624 1816552 1908928 1929032 1972544 1981168 2025856 2028236 2104991 2204608 2207198 2264192 2266852 2317984 2342396 2405704 2522512 2590688 2617972 2677024 2680169 2749376 2752606 2923046 2991968 2995483 3076442 3178966 3340624 3451952 3545248 3549413 3633104 3817856 3858064 3945088 3962336 3966991 4056472 4099193 4209982 4409216 4414396 4533704 4581451 4635968 4684792 4811408 5045024 5181376 5235944 5354048 5360338 5498752 5505212 5846092 5983936 5990966 6152884 6357932 6681248 6903904 7090496 7098826 7266208 7716128 7725193 7924672 7933982 8112944 8198386 8419964 8828792 9067408 9162902 9271936 9369584 9622816 9634121 10090048 10362752 10471888 10708096 10720676 10767547 11010424 11126381 11692184 11967872 11981932 12305768 12715864 13362496 13807808 14180992 14197652 14532416 15432256 15450386 15849344 15867964 16225888 16396772 16839928 17657584 18134816 18325804 18739168 18761183 19245632 19268242 20180096 20943776 20968381 21441352 21535094 22020848 22252762 23384368 23963864 24611536 24845891 25431728 26149757 26724992 27615616 27768937 28395304 29064832 30864512 30900772 31735928 32451776 32793544 33679856 35315168 36269632 36651608 37478336 37522366 38491264 38536484 41887552 41936762 42882704 43070188 44041696 44505524 46768736 47927728 49223072 49691782 50863456 50923211 52299514 54076351 55537874 56790608 56914177 61801544 63471856 64903552 65587088 67359712 67438847 70630336 72539264 73303216 74956672 75044732 75372829 77072968 77884667 83775104 83873524 85765408 86140376 88083392 89011048 93537472 95855456 98446144 99383564 101726912 101846422 104599028 108152702 111075748 113581216 113828354 123603088 126943712 131174176 131328281 134719424 134877694 141260672 146606432 146778667 150089464 150745658 154145936 155769334 167747048 171530816 172280752 176166784 178022096 183048299 187074944 191710912 196892288 198767128 203453824 203692844 209198056 216305404 222151496 227162432 227656708 247206176 253887424 262348352 262656562 269438848 269755388 293212864 293557334 300178928 301491316 308291872 311538668 335494096 343061632 344561504 356044192 356462477 366096598 383421824 397534256 398399239 407385688 418396112 432610808 444302992 454324864 455313416 472071929 494412352 507774848 524696704 525313124 527609803 539510776 586425728 587114668 600357856 602982632 616583744 623077336 670988192 689123008 712088384 712924954 732193196 795068512 796798478 814771376 836792224 865221616 888605984 910626832 919297967 944143858 967541009 988824704 1027450669 1050626248 1055219606 1079021552 1174229336 1200715712 1205965264 1233167488 1246154672 1281338093 1341976384 1378246016 1424176768 1425849908 1464386392 1590137024 1593596956 1629542752 1673584448 1730443232 1777211968 1821253664 1838595934 1888287716 1935082018 2054901338 2101252496 2110439212 2158043104 2348458672 2401431424 2411930528 2492309344 2495237339 2562676186 2683952768 2788794673 2851699816 2928772784 3180274048 3187193912 3259085504 3347168896 3460886464 3554423936 3642507328 3677191868 3776575432 3870164036 4109802676 4202504992 4220878424 4316086208 4696917344 4823861056 4984618688 4990474678 5125352372 5577589346 5703399632 5857545568 6374387824 6518171008 6772787063 6921772928 7285014656 7354383736 7553150864 7740328072 8219605352 8405009984 8441756848 8632172416 8969366651 9393834688 9647722112 9969237376 9980949356 10250704744 11155178692 11406799264 11715091136 12748775648 13545574126 14708767472 15106301728 15480656144 16439210704 16810019968 16883513696 17466661373 17938733302 18787669376 19521562711 19961898712 20501409488 22310357384 22813598528 23430182272 25497551296 27091148252 29417534944 30212603456 30961312288 32878421408 33767027392 34933322746 35877466604 39043125422 39923797424 41002818976 44620714768 45627197056 47409509441 50995102592 54182296504 58835069888 60425206912 61922624576 65756842816 67534054784 69866645492 71754933208 78086250844 79847594848 82005637952 89241429536 94819018882 108364593008 117670139776 123845249152 131513685632 139733290984 143509866416 156172501688 159695189696 164011275904 178482859072 189638037764 216729186016 279466581968 287019732832 312345003376 319390379392 331866566087 356965718144 379276075528 433458372032 558933163936 574039465664 624690006752 663733132174 758552151056 866916744064 1117866327872 1148078931328 1249380013504 1327466264348 1517104302112 2235732655744 2498760027008 2654932528696 3034208604224 5309865057392 6068417208448 10619730114784 21239460229568 42478920459136
• Sum of all divisors σ(n): 113290813296000
• Sum of proper divisors (its aliquot sum) s(n): 70811892836864
• 42478920459136 is an abundant number, because the sum of its proper divisors (70811892836864) is greater than itself. Its abundance is 28332972377728

Bases of 42478920459136

• Binary: 1001101010001001100100111101101110001110000000₂
• Hexadecimal: 0x26A264F6E380
• Base-36: F22JOGUPS

Squares and roots of 42478920459136

• 42478920459136 squared (42478920459136²) is 1804458683373603037045866496
• 42478920459136 cubed (42478920459136³) is 76651456882824555571851003231355279507456
• The square root of 42478920459136 is 6517585.4777007721
• The cube root of 42478920459136 is 34891.8896595683

Scales and comparisons

• 42,478,920,459,136 seconds is equal to 1,350,698 years, 14 weeks, 1 day, 23 hours, 32 minutes, 16 seconds.
• To count from 1 to 42,478,920,459,136 would take you about three million, three hundred seventy-six thousand, seven hundred forty-five 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 42478920459136 cubic inches would be around 2907.7 feet tall.

Recreational maths with 42478920459136

• 42478920459136 backwards is 63195402987424
• 42478920459136 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42478920459136's digits is 64
• More coming soon!