42428775654720
42,428,775,654,720 is an even composite number composed of seven prime numbers multiplied together.
42428775654720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42428775654720:
26 × 35 × 5 × 7 × 13 × 307 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 307 × 19531)See below for interesting mathematical facts about the number 42428775654720 from the Numbermatics database.
Names of 42428775654720
- Cardinal: 42428775654720 can be written as Forty-two trillion, four hundred twenty-eight billion, seven hundred seventy-five million, six hundred fifty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.242877565472 × 1013
Factors of 42428775654720
Divisors of 42428775654720
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 162 168 180 182 189 192 195 208 210 216 224 234 240 243 252 260 270 273 280 288 307 312 315 320 324 336 351 360 364 378 390 405 416 420 432 448 455 468 480 486 504 520 540 546 560 567 576 585 614 624 630 648 672 702 720 728 756 780 810 819 832 840 864 910 921 936 945 960 972 1008 1040 1053 1080 1092 1120 1134 1170 1215 1228 1248 1260 1296 1344 1365 1404 1440 1456 1512 1535 1560 1620 1638 1680 1701 1728 1755 1820 1842 1872 1890 1944 2016 2080 2106 2149 2160 2184 2240 2268 2340 2430 2456 2457 2496 2520 2592 2730 2763 2808 2835 2880 2912 3024 3070 3120 3159 3240 3276 3360 3402 3510 3640 3684 3744 3780 3888 3991 4032 4095 4160 4212 4298 4320 4368 4536 4605 4680 4860 4912 4914 5040 5184 5265 5460 5526 5616 5670 5824 6048 6140 6240 6318 6447 6480 6552 6720 6804 7020 7280 7368 7371 7488 7560 7776 7982 8190 8289 8424 8505 8596 8640 8736 9072 9210 9360 9720 9824 9828 10080 10530 10745 10920 11052 11232 11340 11973 12096 12280 12285 12480 12636 12894 12960 13104 13608 13815 14040 14560 14736 14742 15120 15552 15795 15964 16380 16578 16848 17010 17192 17472 18144 18420 18720 19341 19440 19531 19648 19656 19955 20160 21060 21490 21840 22104 22113 22464 22680 23946 24560 24570 24867 25272 25788 25920 26208 27216 27630 27937 28080 29120 29472 29484 30240 31590 31928 32235 32760 33156 33696 34020 34384 35919 36288 36840 36855 37440 38682 38880 39062 39312 39910 41445 42120 42980 43680 44208 44226 45360 47892 49120 49140 49734 50544 51576 52416 54432 55260 55874 56160 58023 58593 58944 58968 59865 60480 63180 63856 64470 65520 66312 67392 68040 68768 71838 73680 73710 74601 77364 77760 78124 78624 79820 82890 83811 84240 85960 87360 88416 88452 90720 95784 96705 97655 98240 98280 99468 101088 103152 107757 108864 110520 110565 111748 112320 116046 117186 117936 119730 124335 126360 127712 128940 131040 132624 136080 136717 137536 139685 143676 147360 147420 149202 154728 156248 157248 159640 165780 167622 168480 171920 174069 175779 176832 176904 179595 181440 191568 193410 195310 196560 198936 202176 206304 215514 221040 221130 223496 232092 234372 235872 239460 248670 251433 252720 253903 255424 257880 262080 265248 272160 273434 279370 287352 290115 292965 294720 294840 298404 309456 312496 319280 323271 331560 335244 336960 343840 348138 351558 353808 359190 373005 383136 386820 390620 393120 397872 410151 412608 419055 431028 442080 442260 446992 464184 468744 471744 478920 497340 502866 505440 507806 515760 522207 527337 530496 538785 544320 546868 558740 574704 580230 585930 589680 596808 618912 624992 638560 646542 663120 670488 683585 687680 696276 703116 707616 718380 746010 754299 761709 766272 773640 781240 786240 795744 820302 838110 862056 870345 878895 884160 884520 893984 928368 937488 957840 969813 994680 1005732 1010880 1015612 1031520 1044414 1054674 1077570 1093736 1117480 1149408 1160460 1171860 1179360 1193616 1230453 1237824 1249984 1257165 1269515 1277120 1293084 1326240 1340976 1367170 1392552 1406232 1415232 1436760 1492020 1508598 1523418 1547280 1562480 1582011 1591488 1616355 1640604 1676220 1724112 1740690 1757790 1769040 1777321 1787968 1856736 1874976 1915680 1939626 1989360 2011464 2031224 2050755 2063040 2088828 2109348 2155140 2187472 2234960 2262897 2285127 2298816 2320920 2343720 2358720 2387232 2460906 2514330 2539030 2586168 2611035 2636685 2652480 2681952 2734340 2785104 2812464 2873520 2984040 3017196 3046836 3094560 3124960 3164022 3232710 3281208 3352440 3448224 3481380 3515580 3538080 3554642 3691359 3713472 3749952 3771495 3808545 3831360 3879252 3978720 4022928 4062448 4101510 4177656 4218696 4310280 4374944 4469920 4525794 4570254 4641840 4687440 4746033 4774464 4849065 4921812 5028660 5078060 5172336 5222070 5273370 5331963 5363904 5468680 5570208 5624928 5747040 5968080 5996017 6034392 6093672 6152265 6189120 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31640220 31991778 32812080 33222231 33421248 33749568 33943455 34276905 34482240 35546420 35976102 36206352 36562032 36913590 37968264 38792520 39374496 40229280 40624480 41132286 41776560 41972119 42186960 42655704 43749440 44296308 45257940 45702540 47460330 47968136 47987667 48275136 48749376 49218120 50624352 51723360 53319630 53964153 54309528 54843048 55370385 55702080 56249280 56874272 59061744 59960170 60343920 60936720 61698429 62068032 63280440 63983556 65624160 66444462 67886910 68553810 71092840 71952204 72412704 73124064 73827180 75936528 77585040 77948221 78748992 79979445 80458560 81248960 82264572 83553120 83944238 84373920 85311408 88592616 89940255 90515880 91405080 94920660 95936272 95975334 98436240 101248704 102830715 103446720 106639260 107928306 108619056 109686096 110740770 113748544 118123488 119920340 120687840 121873440 123396858 125916357 126560880 127967112 131248320 132888924 135773820 137107620 142185680 143904408 143963001 144825408 146248128 147654360 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719815005 724127040 731240640 755498142 759365280 767802672 779482210 809462295 822645720 839442380 853114080 863426448 863778006 885926160 935378652 959362720 959753340 971354754 987174864 1007330856 1023736896 1063111392 1079283060 1086190560 1091275094 1096860960 1133247213 1151235264 1151704008 1169223315 1181234880 1233968580 1247171536 1259163570 1279671120 1295139672 1316233152 1328889240 1343107808 1403067978 1439044080 1439630010 1457032131 1510996284 1518730560 1535605344 1558964420 1618924590 1636912641 1645291440 1678884760 1706228160 1726852896 1727556012 1771852320 1870757304 1888745355 1918725440 1919506680 1942709508 1974349728 2014661712 2104601967 2126222784 2158566120 2159445015 2172381120 2182550188 2193721920 2266494426 2303408016 2338446630 2428386885 2467937160 2494343072 2518327140 2559342240 2590279344 2657778480 2686215616 2728187735 2806135956 2878088160 2879260020 2914064262 3021992568 3071210688 3117928840 3237849180 3273825282 3290582880 3357769520 3399741639 3453705792 3455112024 3507669945 3543704640 3741514608 3777490710 3839013360 3885419016 3948699456 4029323424 4209203934 4317132240 4318890030 4365100376 4532988852 4606816032 4676893260 4856773770 4910737923 4935874320 4988686144 5036654280 5118684480 5180558688 5315556960 5456375470 5612271912 5666236065 5756176320 5758520040 5828128524 6043985136 6235857680 6313805901 6475698360 6547650564 6581165760 6715539040 6799483278 6910224048 7015339890 7285160655 7483029216 7554981420 7678026720 7770838032 8058646848 8184563205 8418407868 8634264480 8637780060 8730200752 9065977704 9213632064 9353786520 9713547540 9821475846 9871748640 10073308560 10199224917 10361117376 10523009835 10631113920 10912750940 11224543824 11332472130 11517040080 11656257048 12087970272 12471715360 12627611802 12951396720 13095301128 13431078080 13598966556 13820448096 14030679780 14570321310 14732213769 14966058432 15109962840 15356053440 15541676064 16369126410 16836815736 16998708195 17268528960 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116562570480 117857710152 120879702720 126276118020 130953011280 132589923921 134694525888 135989665560 138204480960 147322137690 151531341624 155416760640 157143613536 163187598672 168368157360 174604015040 176786565228 181319554080 189414177030 196429516920 202041788832 203984498340 217583464896 220983206535 224490876480 233125140960 235715420304 252552236040 261906022560 265179847842 271979331120 294644275380 303062683248 314287227072 326375197344 336736314720 353573130456 362639108160 378828354060 392859033840 404083577664 407968996680 441966413070 466250281920 471430840608 505104472080 523812045120 530359695684 543958662240 589288550760 606125366496 652750394688 662949619605 673472629440 707146260912 757656708120 785718067680 815937993360 883932826140 942861681216 1010208944160 1060719391368 1087917324480 1178577101520 1212250732992 1325899239210 1414292521824 1515313416240 1571436135360 1631875986720 1767865652280 2020417888320 2121438782736 2357154203040 2651798478420 2828585043648 3030626832480 3263751973440 3535731304560 4242877565472 4714308406080 5303596956840 6061253664960 7071462609120 8485755130944 10607193913680 14142925218240 21214387827360 42428775654720
- Sum of all divisors σ(n): 186883866064896
- Sum of proper divisors (its aliquot sum) s(n): 144455090410176
- 42428775654720 is an abundant number, because the sum of its proper divisors (144455090410176) is greater than itself. Its abundance is 102026314755456
Bases of 42428775654720
- Binary: 10011010010110101110000001100111100101010000002
- Hexadecimal: 0x2696B819E540
- Base-36: F1FIDJO00
Squares and roots of 42428775654720
- 42428775654720 squared (424287756547202) is 1800201003558560564658278400
- 42428775654720 cubed (424287756547203) is 76380324513387966571619819014028034048000
-
The
square root of 42428775654720 is 6513737.4566925861 -
The
cube root of 42428775654720 is 34878.1547224883
Scales and comparisons
How big is 42428775654720?- 42,428,775,654,720 seconds is equal to 1,349,103 years, 42 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 42,428,775,654,720 would take you about three million, three hundred seventy-two thousand, seven hundred fifty-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 42428775654720 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428775654720
- 42428775654720 backwards is 02745657782424
- 42428775654720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42428775654720's digits is 63
- More coming soon!
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The information we have on file for 42428775654720 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!
Keywords: Divisors of 42428775654720, math, Factors of 42428775654720, curriculum, school, college, exams, university, Prime factorization of 42428775654720, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-eight billion, seven hundred seventy-five million, six hundred fifty-four thousand, seven hundred twenty.