42378081604320

Names of 42378081604320

• Cardinal: 42378081604320 can be written as Forty-two trillion, three hundred seventy-eight billion, eighty-one million, six hundred four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.237808160432 × 10¹³

Factors of 42378081604320

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 17015

Divisors of 42378081604320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 96 105 110 112 120 132 140 154 160 165 168 176 210 220 224 227 231 240 264 280 307 308 330 336 352 385 420 440 454 462 480 528 560 614 616 660 672 681 770 840 880 908 921 924 1056 1120 1135 1155 1228 1232 1320 1362 1535 1540 1589 1680 1760 1816 1842 1848 2149 2270 2310 2456 2464 2497 2640 2724 3070 3080 3178 3360 3377 3405 3632 3684 3696 4298 4540 4605 4620 4767 4912 4994 5280 5448 6140 6160 6356 6447 6754 6810 7264 7368 7392 7491 7945 8596 9080 9210 9240 9534 9824 9988 10131 10745 10896 12280 12320 12485 12712 12894 13508 13620 14736 14982 15890 16453 16885 17192 17479 18160 18420 18480 19068 19976 20262 21490 21792 23639 23835 24560 24970 25424 25788 27016 27240 29472 29964 31780 32235 32906 33770 34384 34958 36320 36840 36960 37455 38136 39952 40524 42980 47278 47670 49120 49359 49940 50655 50848 51576 52437 54032 54480 59928 63560 64470 65812 67540 68768 69689 69916 70917 73680 74910 76272 79904 81048 82265 85960 87395 94556 95340 98718 99880 101310 103152 104874 108064 108960 115171 118195 119856 127120 128940 131624 135080 139378 139832 141834 147360 149820 152544 162096 164530 171920 174790 180983 189112 190680 197436 199760 202620 206304 209067 209748 230342 236390 239712 246795 254240 257880 262185 263248 270160 278756 279664 283668 299640 324192 329060 343840 345513 348445 349580 354585 361966 378224 381360 394872 399520 405240 418134 419496 460684 472780 487823 493590 515760 524370 526496 540320 542949 557512 559328 567336 575855 599280 658120 691026 696890 699160 709170 723932 756448 762720 766579 789744 810480 836268 838992 904915 921368 945560 975646 987180 1031520 1045335 1048740 1085898 1115024 1134672 1151710 1198560 1266881 1316240 1382052 1393780 1398320 1418340 1447864 1463469 1533158 1579488 1620960 1672536 1677984 1727565 1809830 1842736 1891120 1951292 1974360 2090670 2097480 2171796 2230048 2269344 2299737 2303420 2439115 2533762 2632480 2714745 2764104 2787560 2796640 2836680 2895728 2926938 3066316 3345072 3455130 3619660 3685472 3734831 3782240 3800643 3832895 3902584 3948720 4181340 4194960 4343592 4599474 4606840 4878230 5051071 5067524 5366053 5429490 5528208 5575120 5673360 5791456 5853876 6132632 6334405 6690144 6910260 7239320 7317345 7469662 7601286 7665790 7805168 7897440 8362680 8389920 8687184 9198948 9213680 9756460 10102142 10135048 10732106 10858980 11056416 11150240 11204493 11346720 11498685 11707752 12265264 12668810 13820520 14478640 14634690 14939324 15153213 15202572 15331580 15610336 16098159 16725360 17374368 18397896 18427360 18674155 19003215 19512920 20204284 20270096 21464212 21717960 22408986 22997370 23415504 24530528 25255355 25337620 26143817 26830265 27641040 28957280 29269380 29878648 30306426 30405144 30663160 32196318 33450720 35357497 36795792 37348310 38006430 39025840 40408568 40540192 41083141 42928424 43435920 44817972 45994740 46831008 50510710 50675240 52287634 53660530 55282080 55561781 56022465 58538760 59757296 60612852 60810288 61326320 64392636 70714994 73591584 74696620 75766065 76012860 78051680 78431451 80490795 80817136 82166282 85856848 86871840 89635944 91989480 101021420 101350480 104575268 106072491 107321060 111123562 112044930 117077520 119514592 121225704 121620576 122652640 123249423 128785272 130719085 141429988 149393240 151532130 152025720 156862902 160981590 161634272 164332564 166685343 171713696 176787485 179271888 183978960 202042840 202700960 205415705 209150536 212144982 214642120 222247124 224089860 234155040 242451408 246498846 257570544 261438170 277808905 282859976 287581987 298786480 303064260 304051440 313725804 321963180 328665128 333370686 353574970 358543776 367957920 388932467 392157255 404085680 410831410 418301072 424289964 429284240 444494248 448179720 484902816 492997692 515141088 522876340 530362455 555617810 565719952 575163974 597572960 606128520 608102880 616247115 627451608 643926360 657330256 666741372 707149940 777864934 784314510 808171360 821662820 833426715 836602144 848579928 858568480 862745961 888988496 896359440 985995384 1045752680 1060724910 1111235620 1131439904 1146593117 1150327948 1166797401 1212257040 1232494230 1254903216 1287852720 1314660512 1333482744 1414299880 1437909935 1555729868 1568629020 1643325640 1666853430 1697159856 1725491922 1777976992 1792718880 1944662335 1971990768 2091505360 2121449820 2222471240 2293186234 2300655896 2333594802 2424514080 2464988460 2509806432 2575705440 2666965488 2828599760 2875819870 3111459736 3137258040 3286651280 3333706860 3394319712 3439779351 3450983844 3889324670 3943981536 4183010720 4242899640 4313729805 4444942480 4586372468 4601311792 4667189604 4929976920 5333930976 5657199520 5732965585 5751639740 5833987005 6222919472 6274516080 6573302560 6667413720 6879558702 6901967688 7778649340 8026151819 8485799280 8627459610 8889884960 9172744936 9202623584 9334379208 9859953840 11465931170 11503279480 11667974010 12445838944 12549032160 12612524287 13334827440 13759117404 13803935376 15557298680 16052303638 16971598560 17198896755 17254919220 18345489872 18668758416 19719907680 22931862340 23006558960 23335948020 24078455457 25225048574 26669654880 27518234808 27607870752 31114597360 32104607276 34397793510 34509838440 36690979744 37337516832 37837572861 40130759095 45863724680 46013117920 46671896040 48156910914 50450097148 55036469616 62229194720 63062621435 64209214552 68795587020 69019676880 75675145722 80261518190 88287670009 91727449360 93343792080 96313821828 100900194296 110072939232 120392277285 126125242870 128418429104 137591174040 138039353760 151350291444 160523036380 176575340018 183454898720 186687584160 189187864305 192627643656 201800388592 240784554570 252250485740 256836858208 264863010027 275182348080 302700582888 321046072760 353150680036 378375728610 385255287312 403600777184 441438350045 481569109140 504500971480 529726020054 550364696160 605401165776 642092145520 706301360072 756751457220 770510574624 882876700090 963138218280 1009001942960 1059452040108 1210802331552 1284184291040 1324315050135 1412602720144 1513502914440 1765753400180 1926276436560 2018003885920 2118904080216 2648630100270 2825205440288 3027005828880 3531506800360 3852552873120 4237808160432 5297260200540 6054011657760 7063013600720 8475616320864 10594520401080 14126027201440 21189040802160 42378081604320
• Sum of all divisors σ(n): 167718156705792
• Sum of proper divisors (its aliquot sum) s(n): 125340075101472
• 42378081604320 is an abundant number, because the sum of its proper divisors (125340075101472) is greater than itself. Its abundance is 82961993497152

Bases of 42378081604320

• Binary: 1001101000101011101010100000000001001011100000₂
• Hexadecimal: 0x268AEA8012E0
• Base-36: F0S7ZM8DC

Squares and roots of 42378081604320

• 42378081604320 squared (42378081604320²) is 1795901800462405185042662400
• 42378081604320 cubed (42378081604320³) is 76106873053341020441998637067836141568000
• The square root of 42378081604320 is 6509844.9754444997
• The cube root of 42378081604320 is 34864.2583392187

Scales and comparisons

• 42,378,081,604,320 seconds is equal to 1,347,491 years, 47 weeks, 2 days, 14 hours, 32 minutes.
• To count from 1 to 42,378,081,604,320 would take you about three million, three hundred sixty-eight thousand, seven hundred twenty-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 42378081604320 cubic inches would be around 2905.4 feet tall.

Recreational maths with 42378081604320

• 42378081604320 backwards is 02340618087324
• 42378081604320 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42378081604320's digits is 48
• More coming soon!