42744125948408000
42,744,125,948,408,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42744125948408000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 896 divisors.
42744125948408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 42744125948408000:
26 × 53 × 473 × 73 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 47 × 47 × 47 × 73 × 89 × 89 × 89)See below for interesting mathematical facts about the number 42744125948408000 from the Numbermatics database.
Names of 42744125948408000
- Cardinal: 42744125948408000 can be written as Forty-two quadrillion, seven hundred forty-four trillion, one hundred twenty-five billion, nine hundred forty-eight million, four hundred eight thousand.
Scientific notation
- Scientific notation: 4.2744125948408 × 1016
Factors of 42744125948408000
Divisors of 42744125948408000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 47 50 64 73 80 89 94 100 125 146 160 178 188 200 235 250 292 320 356 365 376 400 445 470 500 584 712 730 752 800 890 940 1000 1168 1175 1424 1460 1504 1600 1780 1825 1880 2000 2209 2225 2336 2350 2848 2920 3008 3431 3560 3650 3760 4000 4183 4418 4450 4672 4700 5696 5840 5875 6497 6862 7120 7300 7520 7921 8000 8366 8836 8900 9125 9400 11045 11125 11680 11750 12994 13724 14240 14600 15040 15842 16732 17155 17672 17800 18250 18800 20915 22090 22250 23360 23500 25988 27448 28480 29200 31684 32485 33464 34310 35344 35600 36500 37600 39605 41830 44180 44500 47000 51976 54896 55225 58400 63368 64970 66928 68620 70688 71200 73000 75200 79210 83660 85775 88360 89000 94000 103823 103952 104575 109792 110450 116800 126736 129940 133856 137240 141376 142400 146000 158420 161257 162425 167320 171550 176720 178000 188000 196601 198025 207646 207904 209150 219584 220900 253472 259880 267712 274480 276125 292000 305359 316840 322514 324850 334640 343100 353440 356000 372287 376000 393202 396050 415292 415808 418300 428875 441800 506944 519115 519760 522875 548960 552250 578233 584000 610718 633680 645028 649700 669280 686200 704969 706880 712000 744574 786404 792100 806285 812125 830584 836600 857750 883600 983005 990125 1038230 1039520 1045750 1097920 1104500 1156466 1221436 1267360 1290056 1299400 1338560 1372400 1409938 1489148 1526795 1572808 1584200 1612570 1624250 1661168 1673200 1715500 1767200 1861435 1966010 1980250 2076460 2079040 2091500 2209000 2312932 2442872 2534720 2580112 2595575 2598800 2744800 2819876 2891165 2978296 3053590 3145616 3168400 3225140 3248500 3322336 3346400 3431000 3524845 3534400 3722870 3932020 3960500 4031425 4152920 4183000 4418000 4625864 4885744 4915025 5160224 5191150 5197600 5489600 5639752 5782330 5956592 6107180 6291232 6336800 6450280 6497000 6644672 6692800 6862000 7049690 7445740 7579079 7633975 7864040 7921000 8062850 8305840 8366000 8836000 9240247 9251728 9307175 9771488 9830050 10320448 10382300 10395200 11279504 11564660 11913184 12214360 12582464 12673600 12900560 12977875 12994000 13724000 14099380 14351873 14455825 14891480 15158158 15267950 15728080 15842000 16125700 16611680 16732000 17497489 17624225 17672000 18480494 18503456 18614350 19542976 19660100 20157125 20764600 22559008 23129320 23826368 24428720 24575125 25801120 25955750 25988000 27176951 27448000 28198760 28703746 28911650 29782960 30316316 30535900 31456160 31684000 32251400 33133543 33223360 33464000 34994978 35248450 36960988 37006912 37228700 37895395 38169875 39320200 40314250 41529200 45118016 46201235 46258640 46535875 48857440 49150250 51462737 51602240 51911500 51976000 54353902 56397520 57407492 57823300 59565920 60632632 61071800 62912320 63368000 64502800 66267086 69989956 70496900 71759365 72279125 73921976 74457400 75790790 76339750 78640400 80628500 83058400 87487445 88121125 92402470 92517280 93071750 97714880 98300500 102925474 103823000 108707804 112795040 114814984 115646600 119131840 121265264 122143600 129005600 132534172 135884755 139979912 140993800 143518730 144558250 147843952 148914800 151581580 152679500 157280800 161257000 165667715 166116800 174974890 176242250 184804940 185034560 186143500 189476975 196601000 205850948 207646000 217415608 225590080 229629968 231006175 231293200 242530528 244287200 257313685 258011200 265068344 271769510 279959824 281987600 287037460 289116500 295687904 297829600 303163160 305359000 314561600 322514000 331335430 349949780 352484500 358796825 369609880 372287000 378953950 393202000 411701896 415292000 434831216 437437225 459259936 462012350 462586400 485061056 488574400 514627370 530136688 543539020 559919648 563975200 574074920 578233000 591375808 595659200 606326320 610718000 645028000 662670860 674538031 679423775 699899560 704969000 717593650 739219760 744574000 757907900 786404000 822381983 823403792 828338575 830584000 869662432 874874450 918519872 924024700 925172800 947384875 1029254740 1060273376 1087078040 1119839296 1127950400 1148149840 1155030875 1156466000 1212652640 1221436000 1277316697 1286568425 1290056000 1325341720 1349076062 1358847550 1399799120 1409938000 1435187300 1478439520 1489148000 1515815800 1557276521 1572808000 1644763966 1646807584 1656677150 1739324864 1749748900 1793984125 1848049400 1894769750 2058509480 2120546752 2174156080 2187186125 2296299680 2310061750 2312932000 2418748639 2425305280 2442872000 2554633394 2573136850 2650683440 2698152124 2717695100 2799598240 2819876000 2870374600 2956879040 2978296000 3031631600 3114553042 3289527932 3293615168 3313354300 3372690155 3397118875 3499497800 3587968250 3696098800 3789539500 4111909915 4117018960 4141692875 4348312160 4374372250 4592599360 4620123500 4625864000 4837497278 5109266788 5146273700 5301366880 5396304248 5435390200 5599196480 5639752000 5740749200 6063263200 6229106084 6386583485 6432842125 6579055864 6626708600 6745380310 6794237750 6998995600 7175936500 7392197600 7579079000 7786382605 8223819830 8234037920 8283385750 8696624320 8748744500 9240247000 9674994556 10218533576 10292547400 10602733760 10792608496 10870780400 11481498400 12093743195 12126526400 12458212168 12773166970 12865684250 13158111728 13253417200 13490760620 13588475500 13997991200 14351873000 14784395200 15158158000 15572765210 16447639660 16468075840 16566771500 16863450775 17497489000 18480494000 19349989112 20437067152 20559549575 20585094800 21585216992 21741560800 22962996800 24187486390 24916424336 25546333940 25731368500 26316223456 26506834400 26981521240 27176951000 27995982400 28703746000 30316316000 31145530420 31932917425 32895279320 33133543000 33726901550 34994978000 36960988000 38699978224 38931913025 40874134304 41119099150 41170189600 43170433984 43483121600 48374972780 49832848672 51092667880 51462737000 52632446912 53013668800 53963042480 54353902000 57407492000 60033884759 60468715975 60632632000 62291060840 63865834850 65790558640 66267086000 67453803100 69989956000 73191996487 73921976000 77399956448 77863826050 81748268608 82238198300 82340379200 84317253875 96749945560 99665697344 102185335760 102797747875 102925474000 107926084960 108707804000 113681186033 114814984000 120067769518 120937431950 124582121680 127731669700 131581117280 132534172000 134907606200 139979912000 146383992974 154799912896 155727652100 159664587125 164476396600 168634507750 193499891120 194659565125 204370671520 205595495750 205850948000 215852169920 217415608000 227362372066 240135539036 241874863900 249164243360 255463339400 263162234560 265068344000 269815212400 292767985948 300169423795 302343579875 311455304200 319329174250 328952793200 337269015500 365959982435 386999782240 389319130250 408741343040 411190991500 411701896000 454724744132 480271078072 483749727800 498328486720 510926678800 539630424800 568405930165 585535971896 600338847590 604687159750 622910608400 638658348500 657905586400 674538031000 731919964870 773999564480 778638260500 822381983000 909449488264 960542156144 967499455600 1021853357600 1079260849600 1136811860330 1171071943792 1200677695180 1209374319500 1245821216800 1277316697000 1315811172800 1349076062000 1463839929740 1500847118975 1557276521000 1644763966000 1818898976528 1829799912175 1921084312288 1934998911200 2043706715200 2273623720660 2342143887584 2401355390360 2418748639000 2491642433600 2554633394000 2698152124000 2842029650825 2927679859480 3001694237950 3114553042000 3289527932000 3637797953056 3659599824350 3842168624576 3869997822400 4547247441320 4684287775168 4802710780720 4837497278000 5109266788000 5343015743551 5396304248000 5684059301650 5855359718960 6003388475900 6229106084000 6579055864000 7275595906112 7319199648700 7504235594875 9094494882640 9148999560875 9605421561440 9674994556000 10218533576000 10686031487102 11368118603300 11710719437920 12006776951800 12458212168000 14210148254125 14638399297400 15008471189750 18188989765280 18297999121750 19210843122880 19349989112000 21372062974204 22736237206600 23421438875840 24013553903600 26715078717755 28420296508250 29276798594800 30016942379500 36377979530560 36595998243500 42744125948408 45472474413200 48027107807200 53430157435510 56840593016500 58553597189600 60033884759000 73191996487000 85488251896816 90944948826400 96054215614400 106860314871020 113681186033000 117107194379200 120067769518000 133575393588775 146383992974000 170976503793632 181889897652800 213720629742040 227362372066000 240135539036000 267150787177550 292767985948000 341953007587264 427441259484080 454724744132000 480271078072000 534301574355100 585535971896000 667876967943875 854882518968160 909449488264000 1068603148710200 1335753935887750 1709765037936320 2137206297420400 2671507871775500 4274412594840800 5343015743551000 8548825189681600 10686031487102000 21372062974204000 42744125948408000
- Sum of all divisors σ(n): 110884514071219200
- Sum of proper divisors (its aliquot sum) s(n): 68140388122811200
- 42744125948408000 is an abundant number, because the sum of its proper divisors (68140388122811200) is greater than itself. Its abundance is 25396262174403200
Bases of 42744125948408000
- Binary: 100101111101101110001110010110110110001110110000110000002
- Hexadecimal: 0x97DB8E5B63B0C0
- Base-36: BOVJ0DL1Z28
Squares and roots of 42744125948408000
- 42744125948408000 squared (427441259484080002) is 1827060303093366105477734464000000
- 42744125948408000 cubed (427441259484080003) is 78096095710759335419476628009951187533312000000000
-
The
square root of 42744125948408000 is 206746525.8436233071 -
The
cube root of 42744125948408000 is 349643.5171692537
Scales and comparisons
How big is 42744125948408000?- 42,744,125,948,408,000 seconds is equal to 1,359,130,988 years, 46 weeks, 4 days, 10 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,744,125,948,408,000 would take you about four billion, seventy-seven million, three hundred ninety-two thousand, nine hundred sixty-six 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 42744125948408000 cubic inches would be around 29137 feet tall.
Recreational maths with 42744125948408000
- 42744125948408000 backwards is 00080484952144724
- The number of decimal digits it has is: 17
- The sum of 42744125948408000's digits is 62
- More coming soon!
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The information we have on file for 42744125948408000 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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