4142013677568
4,142,013,677,568 is an even composite number composed of four prime numbers multiplied together.
What does the number 4142013677568 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1020 divisors.
4142013677568 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and twenty divisors.
Prime factorization of 4142013677568:
216 × 39 × 132 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 19)See below for interesting mathematical facts about the number 4142013677568 from the Numbermatics database.
Names of 4142013677568
- Cardinal: 4142013677568 can be written as Four trillion, one hundred forty-two billion, thirteen million, six hundred seventy-seven thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 4.142013677568 × 1012
Factors of 4142013677568
Divisors of 4142013677568
- Number of divisors d(n): 1020
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 128 144 152 156 162 169 171 192 208 216 228 234 243 247 256 288 304 312 324 338 342 351 384 416 432 456 468 486 494 507 512 513 576 608 624 648 676 684 702 729 741 768 832 864 912 936 972 988 1014 1024 1026 1053 1152 1216 1248 1296 1352 1368 1404 1458 1482 1521 1536 1539 1664 1728 1824 1872 1944 1976 2028 2048 2052 2106 2187 2223 2304 2432 2496 2592 2704 2736 2808 2916 2964 3042 3072 3078 3159 3211 3328 3456 3648 3744 3888 3952 4056 4096 4104 4212 4374 4446 4563 4608 4617 4864 4992 5184 5408 5472 5616 5832 5928 6084 6144 6156 6318 6422 6561 6656 6669 6912 7296 7488 7776 7904 8112 8192 8208 8424 8748 8892 9126 9216 9234 9477 9633 9728 9984 10368 10816 10944 11232 11664 11856 12168 12288 12312 12636 12844 13122 13312 13338 13689 13824 13851 14592 14976 15552 15808 16224 16384 16416 16848 17496 17784 18252 18432 18468 18954 19266 19456 19683 19968 20007 20736 21632 21888 22464 23328 23712 24336 24576 24624 25272 25688 26244 26624 26676 27378 27648 27702 28431 28899 29184 29952 31104 31616 32448 32768 32832 33696 34992 35568 36504 36864 36936 37908 38532 38912 39366 39936 40014 41067 41472 41553 43264 43776 44928 46656 47424 48672 49152 49248 50544 51376 52488 53248 53352 54756 55296 55404 56862 57798 58368 59904 60021 62208 63232 64896 65536 65664 67392 69984 71136 73008 73728 73872 75816 77064 77824 78732 79872 80028 82134 82944 83106 85293 86528 86697 87552 89856 93312 94848 97344 98304 98496 101088 102752 104976 106496 106704 109512 110592 110808 113724 115596 116736 119808 120042 123201 124416 124659 126464 129792 131328 134784 139968 142272 146016 147456 147744 151632 154128 155648 157464 159744 160056 164268 165888 166212 170586 173056 173394 175104 179712 180063 186624 189696 194688 196608 196992 202176 205504 209952 212992 213408 219024 221184 221616 227448 231192 233472 239616 240084 246402 248832 249318 252928 255879 259584 260091 262656 269568 279936 284544 292032 294912 295488 303264 308256 311296 314928 319488 320112 328536 331776 332424 341172 346112 346788 350208 359424 360126 369603 373248 373977 379392 389376 393984 404352 411008 419904 425984 426816 438048 442368 443232 454896 462384 466944 479232 480168 492804 497664 498636 505856 511758 519168 520182 525312 539136 540189 559872 569088 584064 589824 590976 606528 616512 622592 629856 638976 640224 657072 663552 664848 682344 692224 693576 700416 718848 720252 739206 746496 747954 758784 778752 780273 787968 808704 822016 839808 851968 853632 876096 884736 886464 909792 924768 933888 958464 960336 985608 995328 997272 1011712 1023516 1038336 1040364 1050624 1078272 1080378 1108809 1119744 1138176 1168128 1181952 1213056 1233024 1245184 1259712 1277952 1280448 1314144 1327104 1329696 1364688 1384448 1387152 1400832 1437696 1440504 1478412 1492992 1495908 1517568 1557504 1560546 1575936 1617408 1620567 1644032 1679616 1707264 1752192 1769472 1772928 1819584 1849536 1867776 1916928 1920672 1971216 1990656 1994544 2023424 2047032 2076672 2080728 2101248 2156544 2160756 2217618 2239488 2276352 2336256 2340819 2363904 2426112 2466048 2519424 2555904 2560896 2628288 2654208 2659392 2729376 2768896 2774304 2801664 2875392 2881008 2956824 2985984 2991816 3035136 3115008 3121092 3151872 3234816 3241134 3288064 3326427 3359232 3414528 3504384 3545856 3639168 3699072 3735552 3833856 3841344 3942432 3981312 3989088 4046848 4094064 4153344 4161456 4202496 4313088 4321512 4435236 4478976 4552704 4672512 4681638 4727808 4852224 4861701 4932096 5038848 5121792 5256576 5308416 5318784 5458752 5537792 5548608 5603328 5750784 5762016 5913648 5971968 5983632 6070272 6230016 6242184 6303744 6469632 6482268 6576128 6652854 6718464 6829056 7008768 7022457 7091712 7278336 7398144 7667712 7682688 7884864 7962624 7978176 8093696 8188128 8306688 8322912 8404992 8626176 8643024 8870472 8957952 9105408 9345024 9363276 9455616 9704448 9723402 9864192 10077696 10243584 10513152 10637568 10917504 11075584 11097216 11206656 11501568 11524032 11827296 11943936 11967264 12140544 12460032 12484368 12607488 12939264 12964536 13152256 13305708 13436928 13658112 14017536 14044914 14183424 14556672 14796288 15365376 15769728 15925248 15956352 16187392 16376256 16613376 16645824 16809984 17252352 17286048 17740944 17915904 18210816 18690048 18726552 18911232 19408896 19446804 19728384 20155392 20487168 21026304 21067371 21275136 21835008 22194432 23003136 23048064 23654592 23887872 23934528 24281088 24920064 24968736 25214976 25878528 25929072 26304512 26611416 26873856 27316224 28035072 28089828 28366848 29113344 29592576 30730752 31539456 31912704 32752512 33226752 33291648 33619968 34504704 34572096 35481888 35831808 36421632 37380096 37453104 37822464 38817792 38893608 39456768 40310784 40974336 42052608 42134742 42550272 43670016 44388864 46096128 47309184 47775744 47869056 48562176 49840128 49937472 50429952 51757056 51858144 52609024 53222832 53747712 54632448 56070144 56179656 56733696 58226688 59185152 61461504 63078912 63202113 63825408 65505024 66583296 69009408 69144192 70963776 71663616 72843264 74760192 74906208 75644928 77635584 77787216 78913536 80621568 81948672 84105216 84269484 85100544 87340032 88777728 92192256 94618368 95738112 99680256 99874944 100859904 103514112 103716288 105218048 106445664 107495424 109264896 112140288 112359312 113467392 116453376 118370304 122923008 126157824 126404226 127650816 131010048 133166592 138288384 141927552 143327232 145686528 149520384 149812416 151289856 155271168 155574432 157827072 161243136 163897344 168210432 168538968 170201088 174680064 177555456 184384512 189236736 191476224 199749888 207028224 207432576 210436096 212891328 214990848 218529792 224280576 224718624 226934784 232906752 236740608 245846016 252315648 252808452 255301632 262020096 266333184 276576768 283855104 299040768 299624832 302579712 310542336 311148864 315654144 322486272 327794688 336420864 337077936 340402176 349360128 355110912 368769024 378473472 382952448 399499776 414865152 425782656 429981696 437059584 448561152 449437248 453869568 465813504 473481216 491692032 504631296 505616904 510603264 524040192 532666368 553153536 567710208 599249664 621084672 622297728 631308288 644972544 655589376 672841728 674155872 680804352 698720256 710221824 737538048 756946944 765904896 798999552 829730304 851565312 897122304 898874496 907739136 931627008 946962432 983384064 1009262592 1011233808 1021206528 1048080384 1065332736 1106307072 1135420416 1198499328 1244595456 1289945088 1311178752 1345683456 1348311744 1361608704 1397440512 1420443648 1475076096 1513893888 1531809792 1597999104 1659460608 1703130624 1797748992 1863254016 1893924864 1966768128 2018525184 2022467616 2042413056 2096160768 2130665472 2212614144 2270840832 2396998656 2489190912 2691366912 2696623488 2723217408 2794881024 2840887296 2950152192 3027787776 3063619584 3195998208 3318921216 3406261248 3595497984 3933536256 4037050368 4044935232 4084826112 4192321536 4261330944 4425228288 4541681664 4793997312 4978381824 5393246976 5589762048 5681774592 5900304384 6055575552 6127239168 6391996416 6637842432 6812522496 7190995968 8074100736 8089870464 8169652224 8384643072 8522661888 8850456576 9083363328 9587994624 9956763648 10786493952 11800608768 12111151104 12254478336 12783992832 13275684864 13625044992 14381991936 16179740928 16769286144 17045323776 17700913152 18166726656 19175989248 19913527296 21572987904 24222302208 24508956672 25567985664 26551369728 27250089984 28763983872 32359481856 35401826304 36333453312 38351978496 39827054592 43145975808 51135971328 53102739456 54500179968 57527967744 64718963712 72666906624 76703956992 79654109184 86291951616 106205478912 109000359936 115055935488 129437927424 153407913984 159308218368 172583903232 218000719872 230111870976 258875854848 318616436736 345167806464 460223741952 517751709696 690335612928 1035503419392 1380671225856 2071006838784 4142013677568
- Sum of all divisors σ(n): 14163249146640
- Sum of proper divisors (its aliquot sum) s(n): 10021235469072
- 4142013677568 is an abundant number, because the sum of its proper divisors (10021235469072) is greater than itself. Its abundance is 5879221791504
Bases of 4142013677568
- Binary: 1111000100011000110100000100000000000000002
- Hexadecimal: 0x3C463410000
- Base-36: 1GUTC0000
Squares and roots of 4142013677568
- 4142013677568 squared (41420136775682) is 17156277305160387866394624
- 4142013677568 cubed (41420136775683) is 71061535254123794730562481595384594432
-
The
square root of 4142013677568 is 2035193.7690470655 -
The
cube root of 4142013677568 is 16059.6906796667
Scales and comparisons
How big is 4142013677568?- 4,142,013,677,568 seconds is equal to 131,703 years, 11 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 4,142,013,677,568 would take you about three hundred twenty-nine thousand, two hundred fifty-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 4142013677568 cubic inches would be around 1338.3 feet tall.
Recreational maths with 4142013677568
- 4142013677568 backwards is 8657763102414
- 4142013677568 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4142013677568's digits is 54
- More coming soon!
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The information we have on file for 4142013677568 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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