42413814485133120
42,413,814,485,133,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42413814485133120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
42413814485133120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42413814485133120:
26 × 32 × 5 × 17 × 1289 × 4003 × 167891
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 1289 × 4003 × 167891)See below for interesting mathematical facts about the number 42413814485133120 from the Numbermatics database.
Names of 42413814485133120
- Cardinal: 42413814485133120 can be written as Forty-two quadrillion, four hundred thirteen trillion, eight hundred fourteen billion, four hundred eighty-five million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.241381448513312 × 1016
Factors of 42413814485133120
Divisors of 42413814485133120
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 136 144 153 160 170 180 192 204 240 255 272 288 306 320 340 360 408 480 510 544 576 612 680 720 765 816 960 1020 1088 1224 1289 1360 1440 1530 1632 2040 2448 2578 2720 2880 3060 3264 3867 4003 4080 4896 5156 5440 6120 6445 7734 8006 8160 9792 10312 11601 12009 12240 12890 15468 16012 16320 19335 20015 20624 21913 23202 24018 24480 25780 30936 32024 36027 38670 40030 41248 43826 46404 48036 48960 51560 58005 60045 61872 64048 65739 68051 72054 77340 80060 82496 87652 92808 96072 103120 109565 116010 120090 123744 128096 131478 136102 144108 154680 160120 167891 175304 180135 185616 192144 197217 204153 206240 219130 232020 240180 247488 256192 262956 272204 288216 309360 320240 328695 335782 340255 350608 360270 371232 384288 394434 408306 412480 438260 464040 480360 503673 525912 544408 576432 612459 618720 640480 657390 671564 680510 701216 720540 742464 768576 788868 816612 839455 876520 928080 960720 986085 1007346 1020765 1051824 1088816 1152864 1224918 1237440 1280960 1314780 1343128 1361020 1402432 1441080 1511019 1577736 1633224 1678910 1753040 1856160 1921440 1972170 2014692 2041530 2103648 2177632 2305728 2449836 2518365 2629560 2686256 2722040 2854147 2882160 3022038 3062295 3155472 3266448 3357820 3506080 3712320 3842880 3944340 4029384 4083060 4207296 4355264 4899672 5036730 5159867 5259120 5372512 5444080 5708294 5764320 6044076 6124590 6310944 6532896 6715640 7012160 7555095 7888680 8058768 8166120 8562441 9799344 10073460 10319734 10518240 10745024 10888160 11416588 11528640 12088152 12249180 12621888 13065792 13431280 14270735 15110190 15479601 15777360 16117536 16332240 17124882 19598688 20146920 20639468 21036480 21776320 22833176 24176304 24498360 25687323 25799335 26862560 28541470 30220380 30959202 31554720 32235072 32664480 34249764 39197376 40293840 41278936 42812205 45666352 46438803 48352608 48996720 51374646 51598670 53725120 57082940 60440760 61918404 63109440 65328960 68499528 77398005 80587680 82557872 85624410 87717739 91332704 92877606 96705216 97993440 102749292 103197340 114165880 120881520 123836808 128436615 136999056 154796010 161175360 165115744 171248820 175435478 182665408 185755212 195986880 205498584 206394680 216411499 228331760 232194015 241763040 247673616 256873230 263153217 273998112 309592020 330231488 342497640 350870956 371510424 410997168 412789360 432822998 438588695 456663520 464388030 483526080 495347232 513746460 526306434 547996224 619184040 649234497 672067673 684995280 701741912 743020848 789459651 821994336 825578720 865645996 877177390 913327040 928776060 990694464 1027492920 1052612868 1082057495 1238368080 1298468994 1315766085 1344135346 1369990560 1403483824 1486041696 1578919302 1643988672 1651157440 1731291992 1754354780 1857552120 1947703491 2016203019 2054985840 2105225736 2164114990 2476736160 2596937988 2631532170 2688270692 2739981120 2806967648 2972083392 3157838604 3246172485 3360338365 3462583984 3508709560 3678995483 3715104240 3895406982 3947298255 4032406038 4109971680 4210451472 4328229980 4953472320 5193875976 5263064340 5376541384 5613935296 6048609057 6315677208 6492344970 6720676730 6925167968 7017419120 7357990966 7430208480 7790813964 7894596510 8064812076 8219943360 8420902944 8656459960 9738517455 10081015095 10387751952 10526128680 10753082768 11036986449 11425150441 12097218114 12631354416 12984689940 13441353460 13850335936 14034838240 14715981932 14860416960 15581627928 15789193020 16129624152 16841805888 17312919920 18394977415 19477034910 20162030190 20775503904 21052257360 21506165536 22073972898 22850300882 24194436228 25262708832 25969379880 26882706920 28069676480 29431963864 30243045285 31163255856 31578386040 32259248304 33110959347 34275451323 34625839840 36789954830 38954069820 40324060380 41551007808 42104514720 43012331072 44147945796 45700601764 48388872456 50525417664 51938759760 53765413840 55184932245 57125752205 58863927728 60486090570 62326511712 63156772080 64518496608 66221918694 68550902646 69251679680 73579909660 77908139640 80648120760 84209029440 88295891592 91401203528 96777744912 102826353969 103877519520 107530827680 110369864490 114251504410 117727855456 120972181140 124653023424 126313544160 129036993216 132443837388 137101805292 147159819320 155816279280 161296241520 165554796735 171377256615 176591783184 182802407056 193555489824 205652707938 207755039040 215061655360 220739728980 228503008820 235455710912 241944362280 252627088320 264887674776 274203610584 294319638640 311632558560 322592483040 331109593470 342754513230 353183566368 365604814112 387110979648 411305415876 441479457960 457006017640 483888724560 514131769845 529775349552 548407221168 588639277280 623265117120 645184966080 662219186940 685509026460 706367132736 731209628224 822610831752 866295230497 882958915920 914012035280 967777449120 1028263539690 1059550699104 1096814442336 1177278554560 1324438373880 1371018052920 1645221663504 1732590460994 1765917831840 1828024070560 1935554898240 2056527079380 2119101398208 2193628884672 2598885691491 2648876747760 2742036105840 3290443327008 3465180921988 3531835663680 3656048141120 4113054158760 4331476152485 5197771382982 5297753495520 5484072211680 6580886654016 6930361843976 7796657074473 8226108317520 8662952304970 10395542765964 10595506991040 10968144423360 12994428457455 13860723687952 14727018918449 15593314148946 16452216635040 17325904609940 20791085531928 25988856914910 27721447375904 29454037836898 31186628297892 32904433270080 34651809219880 38983285372365 41582171063856 44181056755347 51977713829820 55442894751808 58908075673796 62373256595784 69303618439760 73635094592245 77966570744730 83164342127712 88362113510694 103955427659640 117816151347592 124746513191568 132543170266041 138607236879520 147270189184490 155933141489460 166328684255424 176724227021388 207910855319280 220905283776735 235632302695184 249493026383136 265086340532082 277214473759040 294540378368980 311866282978920 353448454042776 415821710638560 441810567553470 471264605390368 498986052766272 530172681064164 589080756737960 623732565957840 662715851330205 706896908085552 831643421277120 883621135106940 942529210780736 1060345362128328 1178161513475920 1247465131915680 1325431702660410 1413793816171104 1767242270213880 2120690724256656 2356323026951840 2494930263831360 2650863405320820 2827587632342208 3534484540427760 4241381448513312 4712646053903680 5301726810641640 7068969080855520 8482762897026624 10603453621283280 14137938161711040 21206907242566560 42413814485133120
- Sum of all divisors σ(n): 154626743829317760
- Sum of proper divisors (its aliquot sum) s(n): 112212929344184640
- 42413814485133120 is an abundant number, because the sum of its proper divisors (112212929344184640) is greater than itself. Its abundance is 69799114859051520
Bases of 42413814485133120
- Binary: 100101101010111100100011101110011111010010100111010000002
- Hexadecimal: 0x96AF23B9F4A740
- Base-36: BLMFXDW7KG0
Squares and roots of 42413814485133120
- 42413814485133120 squared (424138144851331202) is 1798931659179288069193504120934400
- 42413814485133120 cubed (424138144851331203) is 76299553663863045303617074180165685723362787328000
-
The
square root of 42413814485133120 is 205946144.6231347153 -
The
cube root of 42413814485133120 is 348740.5468011643
Scales and comparisons
How big is 42413814485133120?- 42,413,814,485,133,120 seconds is equal to 1,348,628,106 years, 4 weeks, 2 days, 23 hours, 12 minutes.
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To count from 1 to 42,413,814,485,133,120 would take you about four billion, forty-five million, eight hundred eighty-four thousand, three hundred eighteen 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 42413814485133120 cubic inches would be around 29061.7 feet tall.
Recreational maths with 42413814485133120
- 42413814485133120 backwards is 02133158441831424
- The number of decimal digits it has is: 17
- The sum of 42413814485133120's digits is 54
- More coming soon!
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The information we have on file for 42413814485133120 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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