428391275037440
428,391,275,037,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428391275037440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
428391275037440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428391275037440:
28 × 5 × 112 × 13 × 412 × 47 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 41 × 41 × 47 × 2693)See below for interesting mathematical facts about the number 428391275037440 from the Numbermatics database.
Names of 428391275037440
- Cardinal: 428391275037440 can be written as Four hundred twenty-eight trillion, three hundred ninety-one billion, two hundred seventy-five million, thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.2839127503744 × 1014
Factors of 428391275037440
Divisors of 428391275037440
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 41 44 47 52 55 64 65 80 82 88 94 104 110 121 128 130 143 160 164 176 188 205 208 220 235 242 256 260 286 320 328 352 376 410 416 440 451 470 484 517 520 533 572 605 611 640 656 704 715 752 820 832 880 902 940 968 1034 1040 1066 1144 1210 1222 1280 1312 1408 1430 1504 1573 1640 1664 1681 1760 1804 1880 1927 1936 2068 2080 2132 2255 2288 2420 2444 2585 2624 2665 2693 2816 2860 3008 3055 3146 3280 3328 3362 3520 3608 3760 3854 3872 4136 4160 4264 4510 4576 4840 4888 4961 5170 5248 5330 5386 5687 5720 5863 6016 6110 6292 6560 6721 6724 7040 7216 7520 7708 7744 7865 8272 8320 8405 8528 9020 9152 9635 9680 9776 9922 10340 10496 10660 10772 11374 11440 11726 12032 12220 12584 13120 13442 13448 13465 14080 14432 15040 15416 15488 15730 16544 16640 16810 17056 18040 18304 18491 19270 19360 19552 19844 20680 21197 21320 21544 21853 22748 22880 23452 24440 24805 25051 25168 26240 26884 26896 26930 28435 28864 29315 29623 30080 30832 30976 31460 33088 33605 33620 34112 35009 36080 36608 36982 38540 38720 39104 39688 41360 42394 42640 43088 43706 45496 45760 46904 48880 49610 50102 50336 52480 53768 53792 53860 56870 57728 58630 59246 60160 61664 62920 64493 66176 67210 67240 68224 70018 72160 73931 73964 77080 77440 78208 79007 79376 82720 84788 85280 86176 87412 90992 91520 92455 93808 97760 99220 100204 100672 105985 107536 107584 107720 109265 110413 113740 115456 117260 118492 123328 125255 125840 126571 128986 132352 134420 134480 136448 140036 144320 147862 147928 148115 154160 154880 156416 158014 158752 165440 169576 170560 172352 174824 175045 181984 183040 184910 187616 195520 198440 200408 201344 203401 211970 215072 215168 215440 218530 220826 227480 233167 234520 236984 240383 246656 250510 251680 253142 257972 268840 268960 275561 280072 288640 295724 295856 296230 308320 316028 317504 322465 325853 330880 339152 341120 344704 349648 350090 363968 369655 369820 375232 385099 391040 395035 396880 400816 402688 406802 423940 430144 430336 430880 437060 441652 454960 466334 469040 473968 480766 493312 501020 503360 506284 515944 537680 537920 551122 552065 560144 577280 591448 591712 592460 616640 632056 632855 635008 644930 651706 661760 678304 682240 689408 699296 700180 727936 739310 739640 750464 770198 782080 790070 793760 801632 813604 847880 860288 861760 869077 874120 883304 909920 932668 938080 947936 961532 1002040 1006720 1012568 1017005 1027091 1031888 1075360 1075840 1102244 1104130 1120288 1165835 1182896 1183424 1184920 1201915 1214543 1233280 1264112 1265710 1270016 1289860 1303412 1356608 1377805 1392281 1398592 1400360 1435369 1455872 1478620 1479280 1500928 1540396 1580140 1587520 1603264 1627208 1629265 1645423 1695760 1720576 1723520 1738154 1748240 1766608 1819840 1865336 1876160 1895872 1923064 1925495 2004080 2013440 2025136 2034010 2054182 2063776 2150720 2151680 2204488 2208260 2240576 2331670 2365792 2366848 2369840 2403830 2429086 2466560 2528224 2531420 2579720 2606824 2644213 2713216 2755610 2784562 2797184 2800720 2870738 2957240 2958560 3031171 3080792 3160280 3175040 3206528 3254416 3258530 3290846 3391520 3447040 3476308 3496480 3533216 3639680 3730672 3752320 3791744 3846128 3850990 4008160 4050272 4068020 4108364 4127552 4236089 4301440 4345385 4408976 4416520 4481152 4526933 4663340 4731584 4733696 4739680 4807660 4858172 5056448 5062840 5135455 5159440 5189411 5213648 5288426 5426432 5511220 5569124 5594368 5601440 5741476 5914480 5917120 6062342 6072715 6161584 6320560 6350080 6413056 6508832 6517060 6581692 6783040 6952616 6961405 6992960 7066432 7176845 7279360 7461344 7504640 7583488 7692256 7701980 8016320 8100544 8136040 8216728 8227115 8255104 8472178 8602880 8690770 8817952 8833040 8962304 9053866 9326680 9463168 9479360 9559847 9615320 9716344 10112896 10125680 10270910 10318880 10378822 10427296 10576852 11022440 11138248 11202880 11298001 11482952 11828960 11834240 12124684 12145430 12323168 12641120 13017664 13034120 13163384 13221065 13359973 13566080 13905232 13922810 13985920 14132864 14353690 14922688 15155855 15315091 15384512 15403960 15789059 16032640 16201088 16272080 16433456 16454230 16510208 16944356 17381540 17635904 17666080 18099653 18107732 18653360 18926336 18958720 19119694 19230640 19432688 20225792 20251360 20541820 20637760 20757644 20854592 21153704 21180445 22044880 22276496 22405760 22596002 22634665 22965904 23657920 23668480 24249368 24290860 24646336 25282240 25947055 26035328 26068240 26326768 26442130 26719946 27132160 27810464 27845620 27971840 28265728 28707380 29845376 30311710 30630182 30769024 30807920 31578118 32065280 32402176 32544160 32866912 32908460 33888712 34763080 35271808 35332160 36199306 36215464 37306720 37917440 38239388 38461280 38865376 40502720 41083640 41275520 41515288 41709184 42307408 42360890 44089760 44552992 44811520 45192004 45269330 45931808 47315840 47799235 48498736 48581720 49292672 49796263 50564480 51894110 52070656 52136480 52653536 52884260 53439892 55620928 55691240 56490005 57083521 57414760 58850129 59690752 60623420 61260364 61538048 61615840 63156236 65088320 65733824 65816920 66799865 67462343 67777424 69526160 70543616 70664320 72398612 72430928 74613440 76478776 76575455 76922560 77730752 78945295 81005440 82167280 82551040 83030576 83418368 84614816 84721780 88179520 89105984 90384008 90498265 90538660 91863616 94631680 95598470 96997472 97163440 98585344 99592526 101128960 103788220 104272960 105307072 105768520 106879784 111241856 111382480 112980010 114167042 114829520 117700258 121246840 122520728 123231680 124278011 126312472 130176640 131467648 131633840 133599730 134924686 135554848 139052320 141328640 144797224 144861856 149226880 152957552 153150910 153845120 155461504 157890590 162010880 164334560 166061152 169229632 169443560 173679649 176359040 178211968 180768016 180996530 181077320 183727232 191196940 193994944 194326880 199096183 199185052 207576440 208545920 210614144 211537040 212765851 213759568 222483712 222764960 225960020 228334084 229659040 235400516 242493680 245041456 246463360 248556022 248981315 252624944 260353280 262935296 263267680 267199460 269849372 271109696 278104640 285417605 289594448 289723712 294250645 298453760 305915104 306301820 307690240 310923008 315781180 328669120 332122304 337311715 338459264 338887120 347359298 352718080 356423936 361536032 361993060 362154640 367454464 382393880 387989888 388653760 398192366 398370104 415152880 417091840 421228288 423074080 425531702 427519136 445529920 451920040 456668168 459318080 470801032 484987360 490082912 492926720 497112044 497962630 505249888 526535360 534398920 539698744 542219392 547758893 556209280 570835210 579188896 579447424 588501290 611830208 612603640 621390055 627918731 631562360 647351419 657338240 664244608 674623430 676918528 677774240 694718596 723072064 723986120 724309280 742085773 764787760 775979776 777307520 796384732 796740208 830305760 846148160 851063404 855038272 868398245 891059840 903840080 913336336 918636160 941602064 969974720 980165824 994224088 995480915 995925260 1010499776 1053070720 1063829255 1068797840 1079397488 1084438784 1095517786 1112418560 1141670420 1158377792 1158894848 1177002580 1223660416 1225207280 1242780110 1255837462 1263124720 1294702838 1314676480 1328489216 1349246860 1355548480 1389437192 1446144128 1447972240 1448618560 1484171546 1529575520 1554615040 1592769464 1593480416 1660611520 1692296320 1702126808 1710076544 1736796490 1782119680 1807680160 1826672672 1837272320 1883204128 1939949440 1960331648 1988448176 1990961830 1991850520 2020999552 2106141440 2127658510 2137595680 2158794976 2191035572 2283340840 2316755584 2340424361 2354005160 2447320832 2450414560 2485560220 2511674924 2526249440 2589405676 2698493720 2711096960 2738794465 2765956063 2778874384 2892288256 2895944480 2897237120 2968343092 3059151040 3139593655 3185538928 3186960832 3236757095 3321223040 3384592640 3404253616 3420153088 3473592980 3615360320 3653345344 3710428865 3766408256 3879898880 3920663296 3976896352 3981923660 3983701040 4041999104 4255317020 4275191360 4317589952 4382071144 4566681680 4633511168 4680848722 4708010320 4900829120 4971120440 5023349848 5052498880 5178811352 5396987440 5422193920 5477588930 5531912126 5557748768 5791888960 5794474240 5936686184 6118302080 6279187310 6371077856 6373921664 6473514190 6642446080 6808507232 6947185960 7120865609 7230720640 7306690688 7420857730 7532816512 7953792704 7963847320 7967402080 8162943503 8510634040 8550382720 8635179904 8764142288 9133363360 9361697444 9416020640 9801658240 9942240880 10046699696 10104997760 10357622704 10793974880 10955177860 11063824252 11115497536 11583777920 11702121805 11873372368 12236604160 12558374620 12742155712 12747843328 12947028380 13617014464 13829780315 13894371920 14241731218 14461441280 14613381376 14841715460 15065633024 15907585408 15927694640 15934804160 16325887006 17021268080 17100765440 17270359808 17528284576 18266726720 18723394888 18832041280 19603316480 19884481760 20093399392 20209995520 20715245408 21587949760 21910355720 22127648504 22230995072 23167555840 23404243610 23746744736 25116749240 25484311424 25744667971 25894056760 27234028928 27659560630 27788743840 28483462436 29683430920 30425516693 31815170816 31855389280 31869608320 32651774012 34042536160 35056569152 35604328045 36533453440 37446789776 37664082560 39768963520 40186798784 40814717515 41430490816 43175899520 43820711440 44255297008 44461990144 46808487220 47493489472 50233498480 50968622848 51489335942 51788113520 54468057856 55319121260 55577487680 56966924872 59366861840 60851033386 63710778560 63739216640 65303548024 68085072320 70113138304 71208656090 73066906880 74893579552 75328165120 79537927040 80373597568 81629435030 82860981632 86351799040 87641422880 88510594016 93616974440 94986978944 100466996960 102978671884 103576227040 110638242520 111154975360 113933849744 118733723680 121702066772 127421557120 128723339855 130607096048 136170144640 140226276608 142417312180 149787159104 152127583465 159075854080 160747195136 163258870060 165721963264 175282845760 177021188032 187233948880 189973957888 200933993920 205957343768 207152454080 221276485040 222309950720 227867699488 237467447360 243404133544 254843114240 257446679710 261214192096 272340289280 284834624360 299574318208 304255166930 326517740120 334680683623 350565691520 354042376064 374467897760 401867987840 411914687536 414304908160 442552970080 455735398976 474934894720 486808267088 514893359420 522428384192 569669248720 599148636416 608510333860 653035480240 669361367246 701131383040 708084752128 748935795520 803735975680 823829375072 828609816320 885105940160 911470797952 949869789440 973616534176 1029786718840 1044856768384 1139338497440 1217020667720 1306070960480 1338722734492 1497871591040 1647658750144 1673403418115 1770211880320 1822941595904 1947233068352 2059573437680 2089713536768 2278676994880 2434041335440 2612141920960 2677445468984 2995743182080 3295317500288 3346806836230 3540423760640 3894466136704 4119146875360 4557353989760 4868082670880 5224283841920 5354890937968 6590635000576 6693613672460 7788932273408 8238293750720 9114707979520 9736165341760 10448567683840 10709781875936 13387227344920 16476587501440 19472330683520 21419563751872 26774454689840 32953175002880 38944661367040 42839127503744 53548909379680 85678255007488 107097818759360 214195637518720 428391275037440
- Sum of all divisors σ(n): 1271967261489792
- Sum of proper divisors (its aliquot sum) s(n): 843575986452352
- 428391275037440 is an abundant number, because the sum of its proper divisors (843575986452352) is greater than itself. Its abundance is 415184711414912
Bases of 428391275037440
- Binary: 11000010110011110100111011100011000000011000000002
- Hexadecimal: 0x1859E9DC60300
- Base-36: 47UO8GF7CW
Squares and roots of 428391275037440
- 428391275037440 squared (4283912750374402) is 183519084528203563673401753600
- 428391275037440 cubed (4283912750374403) is 78617974614740852626328202235872001654784000
-
The
square root of 428391275037440 is 20697615.2016950977 -
The
cube root of 428391275037440 is 75384.1783648469
Scales and comparisons
How big is 428391275037440?- 428,391,275,037,440 seconds is equal to 13,621,517 years, 23 weeks, 23 hours, 17 minutes, 20 seconds.
-
To count from 1 to 428,391,275,037,440 would take you about thirty-four million, fifty-three thousand, seven hundred ninety-three 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 428391275037440 cubic inches would be around 6282 feet tall.
Recreational maths with 428391275037440
- 428391275037440 backwards is 044730572193824
- The number of decimal digits it has is: 15
- The sum of 428391275037440's digits is 59
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428391275037440 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 428391275037440 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428391275037440/
Chicago style:
Numbermatics. 2024. "Number 428391275037440 - Facts about the integer". https://numbermatics.com/n/428391275037440/
The information we have on file for 428391275037440 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!
Keywords: Divisors of 428391275037440, math, Factors of 428391275037440, curriculum, school, college, exams, university, Prime factorization of 428391275037440, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, three hundred ninety-one billion, two hundred seventy-five million, thirty-seven thousand, four hundred forty.