42023403604000
42,023,403,604,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42023403604000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42023403604000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42023403604000:
25 × 53 × 7 × 13 × 71 × 521 × 3121
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 71 × 521 × 3121)See below for interesting mathematical facts about the number 42023403604000 from the Numbermatics database.
Names of 42023403604000
- Cardinal: 42023403604000 can be written as Forty-two trillion, twenty-three billion, four hundred three million, six hundred four thousand.
Scientific notation
- Scientific notation: 4.2023403604 × 1013
Factors of 42023403604000
Divisors of 42023403604000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 71 80 91 100 104 112 125 130 140 142 160 175 182 200 208 224 250 260 280 284 325 350 355 364 400 416 455 497 500 520 521 560 568 650 700 710 728 800 875 910 923 994 1000 1040 1042 1120 1136 1300 1400 1420 1456 1625 1750 1775 1820 1846 1988 2000 2080 2084 2272 2275 2485 2600 2605 2800 2840 2912 3121 3250 3500 3550 3640 3647 3692 3976 4000 4168 4550 4615 4970 5200 5210 5600 5680 6242 6461 6500 6773 7000 7100 7280 7294 7384 7952 8336 8875 9100 9230 9940 10400 10420 11360 11375 12425 12484 12922 13000 13025 13546 14000 14200 14560 14588 14768 15605 15904 16672 17750 18200 18235 18460 19880 20840 21847 22750 23075 24850 24968 25844 26000 26050 27092 28000 28400 29176 29536 31210 32305 33865 35500 36400 36470 36920 36991 39760 40573 41680 43694 45500 46150 47411 49700 49936 51688 52000 52100 54184 56800 58352 62125 62420 64610 65125 67730 71000 72800 72940 73840 73982 78025 79520 81146 83360 87388 91000 91175 92300 94822 99400 99872 103376 104200 108368 109235 115375 116704 124250 124840 129220 130250 135460 142000 145880 147680 147964 156050 161525 162292 169325 174776 182000 182350 184600 184955 189644 198800 202865 206752 208400 216736 218470 221591 230750 237055 248500 249680 258440 258937 260500 270920 284000 284011 291760 295928 312100 323050 324584 338650 349552 364000 364700 369200 369910 379288 390125 397600 405730 416800 436940 443182 455875 461500 474110 480883 497000 499360 516880 517874 521000 541840 546175 568022 583520 591856 624200 646100 649168 677300 699104 729400 738400 739820 758576 780250 807625 811460 846625 873880 886364 911750 923000 924775 948220 961766 994000 1014325 1033760 1035748 1042000 1083680 1092350 1107955 1136044 1183712 1185275 1248400 1292200 1294685 1298336 1354600 1420055 1458800 1479640 1517152 1551137 1560500 1615250 1622920 1626041 1693250 1747760 1772728 1823500 1846000 1849550 1896440 1923532 1988000 2028650 2071496 2084000 2184700 2215910 2272088 2370550 2404415 2496800 2584400 2589370 2709200 2730875 2840110 2880683 2917600 2959280 3102274 3121000 3230500 3245840 3252082 3366181 3386500 3495520 3545456 3647000 3692000 3699100 3792880 3847064 4057300 4142992 4369400 4431820 4544176 4623875 4741100 4808830 5071625 5168800 5178740 5418400 5461750 5539775 5680220 5761366 5918560 5926375 6204548 6242000 6461000 6473425 6491680 6504164 6732362 6773000 7090912 7100275 7294000 7398200 7585760 7694128 7755685 8114600 8130205 8285984 8738800 8863640 9088352 9247750 9482200 9617660 10143250 10357480 10923500 11079550 11360440 11382287 11522732 11852750 12022075 12409096 12484000 12922000 12946850 13008328 13464724 13546000 14200550 14403415 14588000 14796400 15388256 15511370 16229200 16260410 16830905 17477600 17727280 18495500 18964400 19235320 20164781 20286500 20714960 21138533 21847000 22159100 22720880 22764574 23045464 23705500 24044150 24818192 25844000 25893700 26016656 26929448 27092000 27698875 28401100 28806830 29592800 31022740 32367125 32458400 32520820 33661810 35454560 35501375 36991000 37928800 38470640 38778425 40329562 40573000 40651025 41429920 42277066 43694000 44318200 45441760 45529148 46090928 47411000 48088300 49636384 51787400 52033312 53858896 55397750 56802200 56911435 57613660 60110375 62045480 64734250 65041640 67323620 71002750 72017075 73982000 76941280 77556850 80659124 81146000 81302050 84154525 84554132 87388000 88636400 91058296 92181856 94822000 96176600 100823905 103574800 105692665 107717792 110795500 113604400 113822870 115227320 115448911 120220750 124090960 129468500 130083280 134647240 142005500 144034150 147964000 147969731 155113700 161318248 162292000 162604100 168309050 169108264 177272800 182116592 189644000 192353200 193892125 201647810 203255125 207149600 211385330 221591000 227208800 227645740 230454640 230897822 240441500 248181920 258937000 260166560 269294480 284011000 284557175 288068300 295939462 310227400 322636496 325208200 336618100 338216528 360085375 364233184 384706400 387784250 403295620 406510250 420772625 422770660 443182000 455291480 460909280 461795644 480883000 504119525 517874000 528463325 538588960 568022000 569114350 576136600 577244555 591878924 620454800 645272992 650416400 673236200 676433056 720170750 739848655 775568500 806591240 808142377 813020500 841545250 845541320 886364000 910582960 923591288 961766000 1008239050 1035748000 1056926650 1136044000 1138228700 1152273200 1154489110 1183757848 1240909600 1300832800 1346472400 1422785875 1440341500 1479697310 1500835843 1551137000 1613182480 1616284754 1626041000 1683090500 1691082640 1821165920 1847182576 1923532000 2016478100 2113853300 2276457400 2304546400 2308978220 2367515696 2520597625 2642316625 2692944800 2845571750 2880683000 2886222775 2959394620 3001671686 3102274000 3226364960 3232569508 3252082000 3366181000 3382165280 3694365152 3699243275 4032956200 4040711885 4227706600 4552914800 4617956440 4735031392 5041195250 5284633250 5691143500 5761366000 5772445550 5918789240 6003343372 6204548000 6465139016 6504164000 6732362000 7398486550 7504179215 8065912400 8081423770 8455413200 9105829600 9235912880 10082390500 10505850901 10569266500 11382287000 11522732000 11544891100 11837578480 12006686744 12930278032 13464724000 14431113875 14796973100 15008358430 16131824800 16162847540 16910826400 18471825760 18496216375 20164781000 20203559425 21011701802 21138533000 22764574000 23089782200 23675156960 24013373488 25860556064 28862227750 29593946200 30016716860 32325695080 36992432750 37520896075 40329562000 40407118850 42023403604 42277066000 45529148000 46179564400 48026746976 52529254505 57724455500 59187892400 60033433720 64651390160 73984865500 75041792150 80659124000 80814237700 84046807208 84554132000 92359128800 101017797125 105058509010 115448911000 118375784800 120066867440 129302780320 147969731000 150083584300 161628475400 168093614416 187604480375 202035594250 210117018020 230897822000 240133734880 262646272525 295939462000 300167168600 323256950800 336187228832 375208960750 404071188500 420234036040 461795644000 525292545050 591878924000 600334337200 646513901600 750417921500 808142377000 840468072080 1050585090100 1200668674400 1313231362625 1500835843000 1616284754000 1680936144160 2101170180200 2626462725250 3001671686000 3232569508000 4202340360400 5252925450500 6003343372000 8404680720800 10505850901000 21011701802000 42023403604000
- Sum of all divisors σ(n): 129157333014528
- Sum of proper divisors (its aliquot sum) s(n): 87133929410528
- 42023403604000 is an abundant number, because the sum of its proper divisors (87133929410528) is greater than itself. Its abundance is 45110525806528
Bases of 42023403604000
- Binary: 10011000111000010101100000101101001000001000002
- Hexadecimal: 0x2638560B4820
- Base-36: EW9A9HRTS
Squares and roots of 42023403604000
- 42023403604000 squared (420234036040002) is 1765966450464680188816000000
- 42023403604000 cubed (420234036040003) is 74211920899000528921397694892864000000000
-
The
square root of 42023403604000 is 6482546.0741902945 -
The
cube root of 42023403604000 is 34766.7217223005
Scales and comparisons
How big is 42023403604000?- 42,023,403,604,000 seconds is equal to 1,336,214 years, 12 weeks, 6 days, 3 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,023,403,604,000 would take you about three million, three hundred forty thousand, five hundred thirty-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 42023403604000 cubic inches would be around 2897.2 feet tall.
Recreational maths with 42023403604000
- 42023403604000 backwards is 00040630432024
- 42023403604000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42023403604000's digits is 28
- More coming soon!
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