42744828376384064000
42,744,828,376,384,064,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 42744828376384064000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2160 divisors.
42744828376384064000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42744828376384064000:
29 × 53 × 78 × 415
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 42744828376384064000 from the Numbermatics database.
Names of 42744828376384064000
- Cardinal: 42744828376384064000 can be written as Forty-two quintillion, seven hundred forty-four quadrillion, eight hundred twenty-eight trillion, three hundred seventy-six billion, three hundred eighty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.2744828376384064 × 1019
Factors of 42744828376384064000
Divisors of 42744828376384064000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 350 392 400 410 448 490 500 512 560 574 640 656 686 700 784 800 820 875 896 980 1000 1025 1120 1148 1225 1280 1312 1372 1400 1435 1568 1600 1640 1681 1715 1750 1792 1960 2000 2009 2050 2240 2296 2401 2450 2560 2624 2744 2800 2870 3136 3200 3280 3362 3430 3500 3584 3920 4000 4018 4100 4480 4592 4802 4900 5125 5248 5488 5600 5740 6125 6272 6400 6560 6724 6860 7000 7175 7840 8000 8036 8200 8405 8575 8960 9184 9604 9800 10045 10250 10496 10976 11200 11480 11767 12005 12250 12544 12800 13120 13448 13720 14000 14063 14350 15680 16000 16072 16400 16807 16810 17150 17920 18368 19208 19600 20090 20500 20992 21952 22400 22960 23534 24010 24500 25088 26240 26896 27440 28000 28126 28700 31360 32000 32144 32800 33614 33620 34300 35875 36736 38416 39200 40180 41000 42025 42875 43904 44800 45920 47068 48020 49000 50225 52480 53792 54880 56000 56252 57400 58835 60025 62720 64000 64288 65600 67228 67240 68600 68921 70315 71750 73472 76832 78400 80360 82000 82369 84035 84050 85750 87808 89600 91840 94136 96040 98000 98441 100450 104960 107584 109760 112000 112504 114800 117649 117670 120050 125440 128576 131200 134456 134480 137200 137842 140630 143500 146944 153664 156800 160720 164000 164738 168070 168100 171500 175616 183680 188272 192080 196000 196882 200900 210125 215168 219520 224000 225008 229600 235298 235340 240100 251125 257152 262400 268912 268960 274400 275684 281260 287000 294175 300125 307328 313600 321440 328000 329476 336140 336200 343000 344605 351575 367360 376544 384160 392000 393764 401800 411845 420175 420250 430336 439040 448000 450016 459200 470596 470680 480200 482447 492205 502250 514304 524800 537824 537920 548800 551368 562520 574000 576583 588245 588350 600250 614656 627200 642880 656000 658952 672280 672400 686000 689087 689210 703150 734720 753088 768320 784000 787528 803600 823543 823690 840350 840500 860672 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254282143821440 254327532435200 259471575328000 260639197416976 265958364711200 272607323828980 278170738601000 290891961402875 297873368476544 303952416812800 310100175392000 311551227233120 317852679776800 317909415544000 325798996771220 332447955889000 340759154786225 356058545409280 363260205459200 363325046336000 372341710595680 379940521016000 381650253360572 389439034041400 397315849721000 407248745964025 425533383537920 434217738304000 436171718126368 445073181761600 454075256824000 465427138244600 477062816700715 486798792551750 498481963572992 508564287642880 508655064870400 518943150656000 521278394833952 531916729422400 545214647657960 556341477202000 581783922805750 595746736953088 607904833625600 620200350784000 623102454466240 635705359553600 635818831088000 651597993542440 664895911778000 667887943381001 681518309572450 712117090818560 726520410918400 744683421191360 759881042032000 763300506721144 778878068082800 794631699442000 814497491928050 851066767075840 872343436252736 890146363523200 908150513648000 930854276489200 954125633401430 973597585103500 996963927145984 1017128575285760 1042556789667904 1063833458844800 1090429295315920 1112682954404000 1163567845611500 1191493473906176 1246204908932480 1271410719107200 1271637662176000 1303195987084880 1329791823556000 1335775886762002 1363036619144900 1489366842382720 1519762084064000 1526601013442288 1557756136165600 1589263398884000 1628994983856100 1703795773931125 1744686872505472 1780292727046400 1816301027296000 1861708552978400 1908251266802860 1947195170207000 2036243729820125 2085113579335808 2127666917689600 2180858590631840 2225365908808000 2327135691223000 2385314083503575 2492409817864960 2542821438214400 2543275324352000 2606391974169760 2659583647112000 2671551773524004 2726073238289800 2978733684765440 3039524168128000 3053202026884576 3115512272331200 3178526797768000 3257989967712200 3339439716905005 3407591547862250 3489373745010944 3560585454092800 3632602054592000 3723417105956800 3816502533605720 3894390340414000 4072487459640250 4170227158671616 4255333835379200 4361717181263680 4450731817616000 4654271382446000 4770628167007150 4984819635729920 5085642876428800 5212783948339520 5319167294224000 5343103547048008 5452146476579600 5957467369530880 6106404053769152 6231024544662400 6357053595536000 6515979935424400 6678879433810010 6815183095724500 6978747490021888 7446834211913600 7633005067211440 7788780680828000 8144974919280500 8340454317343232 8723434362527360 8901463635232000 9308542764892000 9541256334014300 10425567896679040 10638334588448000 10686207094096016 10904292953159200 11926570417517875 12212808107538304 12462049089324800 12714107191072000 13031959870848800 13357758867620020 13630366191449000 14893668423827200 15266010134422880 15577561361656000 16289949838561000 16697198584525025 17446868725054720 17802927270464000 18617085529784000 19082512668028600 20851135793358080 21276669176896000 21372414188192032 21808585906318400 23853140835035750 24425616215076608 24924098178649600 25428214382144000 26063919741697600 26715517735240040 27260732382898000 29787336847654400 30532020268845760 31155122723312000 32579899677122000 33394397169050050 34893737450109440 37234171059568000 38165025336057200 41702271586716160 42744828376384064 43617171812636800 47706281670071500 48851232430153216 52127839483395200 53431035470480080 54521464765796000 61064040537691520 62310245446624000 65159799354244000 66788794338100100 74468342119136000 76330050672114400 83485992922625125 85489656752768128 87234343625273600 95412563340143000 104255678966790400 106862070940960160 109042929531592000 122128081075383040 124620490893248000 130319598708488000 133577588676200200 148936684238272000 152660101344228800 166971985845250250 170979313505536256 174468687250547200 190825126680286000 208511357933580800 213724141881920320 218085859063184000 244256162150766080 260639197416976000 267155177352400400 305320202688457600 333943971690500500 341958627011072512 381650253360572000 427448283763840640 436171718126368000 521278394833952000 534310354704800800 610640405376915200 667887943381001000 763300506721144000 854896567527681280 872343436252736000 1042556789667904000 1068620709409601600 1221280810753830400 1335775886762002000 1526601013442288000 1709793135055362560 2137241418819203200 2671551773524004000 3053202026884576000 4274482837638406400 5343103547048008000 6106404053769152000 8548965675276812800 10686207094096016000 21372414188192032000 42744828376384064000
- Sum of all divisors σ(n): 127460166056578483128
- Sum of proper divisors (its aliquot sum) s(n): 84715337680194419128
- 42744828376384064000 is an abundant number, because the sum of its proper divisors (84715337680194419128) is greater than itself. Its abundance is 41970509303810355128
Bases of 42744828376384064000
- Binary: 1001010001001101000010001011101111101111110110100011001010000000002
- Hexadecimal: 0x2513422EFBF68CA00
- Base-36: 90R6P24BBMKU8
Squares and roots of 42744828376384064000
- 42744828376384064000 squared (427448283763840640002) is 1827120352926528296906947633156096000000
- 42744828376384064000 cubed (427448283763840640003) is 78099945908842732540021422385100000673960558854144000000000
-
The
square root of 42744828376384064000 is 6537952919.4071185205 -
The
cube root of 42744828376384064000 is 3496454.3242690493
Scales and comparisons
How big is 42744828376384064000?- 42,744,828,376,384,064,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,744,828,376,384,064,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42744828376384064000 cubic inches would be around 291371.2 feet tall.
Recreational maths with 42744828376384064000
- 42744828376384064000 backwards is 00046048367382844724
- 42744828376384064000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42744828376384064000's digits is 80
- More coming soon!
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"Number 42744828376384064000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42744828376384064000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42744828376384064000/
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The information we have on file for 42744828376384064000 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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