42742968797292800
42,742,968,797,292,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42742968797292800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
42742968797292800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42742968797292800:
28 × 52 × 433 × 593 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 43 × 43 × 43 × 59 × 59 × 59 × 409)See below for interesting mathematical facts about the number 42742968797292800 from the Numbermatics database.
Names of 42742968797292800
- Cardinal: 42742968797292800 can be written as Forty-two quadrillion, seven hundred forty-two trillion, nine hundred sixty-eight billion, seven hundred ninety-seven million, two hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.27429687972928 × 1016
Factors of 42742968797292800
Divisors of 42742968797292800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 50 59 64 80 86 100 118 128 160 172 200 215 236 256 295 320 344 400 409 430 472 590 640 688 800 818 860 944 1075 1180 1280 1376 1475 1600 1636 1720 1849 1888 2045 2150 2360 2537 2752 2950 3200 3272 3440 3481 3698 3776 4090 4300 4720 5074 5504 5900 6400 6544 6880 6962 7396 7552 8180 8600 9245 9440 10148 10225 11008 11800 12685 13088 13760 13924 14792 15104 16360 17200 17405 17587 18490 18880 20296 20450 23600 24131 25370 26176 27520 27848 29584 32720 34400 34810 35174 36980 37760 40592 40900 46225 47200 48262 50740 52352 55040 55696 59168 63425 65440 68800 69620 70348 73960 75520 79507 81184 81800 87025 87935 92450 94400 96524 101480 104704 109091 111392 118336 120655 126850 130880 137600 139240 140696 147920 149683 159014 162368 163600 174050 175870 184900 188800 193048 202960 205379 218182 222784 236672 241310 253700 261760 275200 278480 281392 295840 299366 318028 324736 327200 348100 351740 369800 377600 386096 397535 405920 410758 436364 439675 445568 473344 482620 507400 523520 545455 556960 562784 591680 598732 603275 636056 649472 654400 696200 703480 739600 748415 756241 772192 795070 811840 821516 872728 879350 891136 965240 1014800 1026895 1037633 1090910 1113920 1125568 1183360 1197464 1206550 1272112 1308800 1392400 1406960 1423729 1479200 1496830 1512482 1544384 1590140 1623680 1643032 1745456 1758700 1930480 1987675 2029600 2053790 2075266 2181820 2227840 2251136 2366720 2394928 2413100 2544224 2617600 2727275 2784800 2813920 2847458 2958400 2993660 3024964 3088768 3180280 3247360 3286064 3490912 3517400 3742075 3781205 3860960 3975350 4059200 4107580 4150532 4363640 4455680 4502272 4690913 4789856 4826200 5088448 5134475 5188165 5454550 5569600 5627840 5694916 5916800 5987320 6049928 6177536 6360560 6436369 6572128 6981824 7034800 7118645 7484150 7562410 7721920 7950700 8118400 8215160 8301064 8727280 8831297 9381826 9579712 9652400 10176896 10268950 10376330 10909100 11139200 11255680 11389832 11833600 11974640 12099856 12721120 12872738 13144256 13963648 14069600 14237290 14968300 15124820 15443840 15901400 16236800 16430320 16602128 17454560 17662594 18763652 18906025 19159424 19304800 20353792 20537900 20752660 21818200 22278400 22511360 22779664 23454565 23949280 24199712 25442240 25745476 25940825 26288512 27927296 28139200 28474580 29936600 30249640 30887680 31802800 32181845 32518363 32860640 33204256 34909120 35325188 35593225 37527304 37812050 38318848 38609600 41075800 41505320 43636400 44156485 44618219 45559328 46909130 47898560 48399424 50884480 51490952 51881650 52577024 56278400 56949160 59873200 60499280 61220347 63605600 64363690 65036726 65721280 66408512 69818240 70650376 71186450 75054608 75624100 77219200 82151600 83010640 84000011 87272800 88312970 89236438 91118656 93818260 95797120 96798848 101768960 102981904 103763300 112556800 113898320 117272825 119746400 120998560 122440694 127211200 128727380 130073452 131442560 132817024 139636480 141300752 142372900 150109216 151248200 154438400 160909225 162591815 164303200 166021280 168000022 174545600 176625940 178472876 182237312 187636520 191594240 193597696 205963808 207526600 220782425 223091095 227796640 234545650 239492800 241997120 244881388 254422400 257454760 260146904 262885120 265634048 276763867 282601504 284745800 300218432 302496400 306101735 321818450 325183630 328606400 332042560 336000044 349091200 353251880 356945752 364474624 375273040 379745771 411927616 415053200 420000055 441564850 446182190 455593280 469091300 478985600 483994240 489762776 508844800 514909520 520293808 553527734 565203008 569491600 600436864 604992800 612203470 643636900 650367260 657212800 664085120 672000088 698182400 706503760 713891504 750546080 759491542 812959075 823855232 830106400 840000110 883129700 892364380 911186560 938182600 957971200 967988480 979525552 1029819040 1040587616 1107055468 1115455475 1130406016 1138983200 1200873728 1209985600 1224406940 1287273800 1300734520 1314425600 1328170240 1344000176 1383819335 1413007520 1427783008 1501092160 1518983084 1530508675 1625918150 1647710464 1660212800 1680000220 1766259400 1784728760 1822373120 1876365200 1898728855 1918583417 1959051104 2059638080 2081175232 2100000275 2214110936 2230910950 2260812032 2277966400 2419971200 2448813880 2574547600 2601469040 2632474921 2688000352 2767638670 2826015040 2855566016 3002184320 3037966168 3061017350 3251836300 3320425600 3360000440 3532518800 3569457520 3612000473 3752730400 3797457710 3837166834 3918102208 4119276160 4162350464 4200000550 4428221872 4461821900 4555932800 4839942400 4897627760 5149095200 5202938080 5264949842 5376000704 5535277340 5652030080 5711132032 6004368640 6075932336 6122034700 6503672600 6640851200 6720000880 6919096675 7065037600 7138915040 7224000946 7505460800 7594915420 7674333668 7836204416 8238552320 8324700928 8400001100 8856443744 8923643800 9111865600 9493644275 9592917085 9795255520 10298190400 10405876160 10529899684 10752001408 11070554680 11304060160 11422264064 12151864672 12244069400 13007345200 13162374605 13440001760 13838193350 14130075200 14277830080 14448001892 15010921600 15189830840 15348667336 15672408832 16329068153 16800002200 17712887488 17847287600 18060002365 18987288550 19185834170 19590511040 20596380800 20811752320 21059799368 21504002816 22141109360 24303729344 24488138800 26014690400 26324749210 26880003520 27676386700 28260150400 28555660160 28896003784 30021843200 30379661680 30697334672 32658136306 33600004400 35425774976 35694575200 36120004730 37974577100 38371668340 39181022080 41192761600 41623504640 42119598736 44282218720 47964585425 48607458688 48976277600 52029380800 52649498420 53760007040 55352773400 56520300800 57111320320 57792007568 60759323360 61394669344 65316272612 65811873025 67200008800 70851549952 71389150400 72240009460 75949154200 76743336680 78362044160 81645340765 84239197472 88564437440 90300011825 95929170850 97214917376 97952555200 104058761600 105298996840 107520014080 110705546800 113196421603 115584015136 121518646720 122789338688 130632545224 131623746050 134400017600 142778300800 144480018920 151898308400 153486673360 155316020339 163290681530 168478394944 177128874880 180600023650 191858341700 195905110400 208117523200 210597993680 221411093600 226392843206 231168030272 243037293440 245578677376 261265090448 263247492100 268800035200 285556601600 288960037840 303796616800 306973346720 310632040678 326581363060 336956789888 354257749760 361200047300 383716683400 391810220800 408226703825 421195987360 442822187200 452785686412 462336060544 486074586880 491157354752 522530180896 526494984200 537600070400 565982108015 577920075680 607593233600 613946693440 621264081356 653162726120 673913579776 722400094600 767433366800 776580101695 816453407650 842391974720 885644374400 905571372824 924672121088 1045060361792 1052989968400 1131964216030 1155840151360 1215186467200 1227893386880 1242528162712 1306325452240 1444800189200 1534866733600 1553160203390 1632906815300 1684783949440 1771288748800 1811142745648 2090120723584 2105979936800 2263928432060 2311680302720 2430372934400 2455786773760 2485056325424 2612650904480 2829910540075 2889600378400 3069733467200 3106320406780 3265813630600 3369567898880 3622285491296 3882900508475 4180241447168 4211959873600 4527856864120 4623360605440 4970112650848 5225301808960 5659821080150 5779200756800 6139466934400 6212640813560 6531627261200 6678588874577 7244570982592 7765801016950 8423919747200 9055713728240 9940225301696 10450603617920 11319642160300 11558401513600 12278933868800 12425281627120 13063254522400 13357177749154 14489141965184 15531602033900 16847839494400 18111427456480 19880450603392 20901207235840 22639284320600 23116803027200 24850563254240 26126509044800 26714355498308 28978283930368 31063204067800 33392944372885 36222854912960 39760901206784 45278568641200 49701126508480 52253018089600 53428710996616 62126408135600 66785888745770 72445709825920 90557137282400 99402253016960 104506036179200 106857421993232 124252816271200 133571777491540 144891419651840 166964721864425 181114274564800 198804506033920 213714843986464 248505632542400 267143554983080 333929443728850 362228549129600 427429687972928 497011265084800 534287109966160 667858887457700 724457098259200 854859375945856 994022530169600 1068574219932320 1335717774915400 1709718751891712 2137148439864640 2671435549830800 4274296879729280 5342871099661600 8548593759458560 10685742199323200 21371484398646400 42742968797292800
- Sum of all divisors σ(n): 110451310403280000
- Sum of proper divisors (its aliquot sum) s(n): 67708341605987200
- 42742968797292800 is an abundant number, because the sum of its proper divisors (67708341605987200) is greater than itself. Its abundance is 24965372808694400
Bases of 42742968797292800
- Binary: 100101111101101010000000111011111100111011101001000000002
- Hexadecimal: 0x97DA80EFCEE900
- Base-36: BOV48SF5O8W
Squares and roots of 42742968797292800
- 42742968797292800 squared (427429687972928002) is 1826961381606345909736608931840000
- 42742968797292800 cubed (427429687972928003) is 78089753327858987249594792144599498891722752000000
-
The
square root of 42742968797292800 is 206743727.3469083993 -
The
cube root of 42742968797292800 is 349640.3620063875
Scales and comparisons
How big is 42742968797292800?- 42,742,968,797,292,800 seconds is equal to 1,359,094,195 years, 3 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,742,968,797,292,800 would take you about four billion, seventy-seven million, two hundred eighty-two thousand, five hundred eighty-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 42742968797292800 cubic inches would be around 29136.7 feet tall.
Recreational maths with 42742968797292800
- 42742968797292800 backwards is 00829279786924724
- 42742968797292800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42742968797292800's digits is 86
- More coming soon!
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The information we have on file for 42742968797292800 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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