428399936077824
428,399,936,077,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 428399936077824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1224 divisors.
428399936077824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 428399936077824:
216 × 32 × 17 × 31 × 37 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 31 × 37 × 193 × 193)See below for interesting mathematical facts about the number 428399936077824 from the Numbermatics database.
Names of 428399936077824
- Cardinal: 428399936077824 can be written as Four hundred twenty-eight trillion, three hundred ninety-nine billion, nine hundred thirty-six million, seventy-seven thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 4.28399936077824 × 1014
Factors of 428399936077824
Divisors of 428399936077824
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 37 48 51 62 64 68 72 74 93 96 102 111 124 128 136 144 148 153 186 192 193 204 222 248 256 272 279 288 296 306 333 372 384 386 408 444 496 512 527 544 558 576 579 592 612 629 666 744 768 772 816 888 992 1024 1054 1088 1116 1147 1152 1158 1184 1224 1258 1332 1488 1536 1544 1581 1632 1737 1776 1887 1984 2048 2108 2176 2232 2294 2304 2316 2368 2448 2516 2664 2976 3072 3088 3162 3264 3281 3441 3474 3552 3774 3968 4096 4216 4352 4464 4588 4608 4632 4736 4743 4896 5032 5328 5661 5952 5983 6144 6176 6324 6528 6562 6882 6948 7104 7141 7548 7936 8192 8432 8704 8928 9176 9216 9264 9472 9486 9792 9843 10064 10323 10656 11322 11904 11966 12288 12352 12648 13056 13124 13764 13896 14208 14282 15096 15872 16384 16864 17408 17856 17949 18352 18432 18528 18944 18972 19499 19584 19686 20128 20646 21312 21423 22644 23808 23932 24576 24704 25296 26112 26248 27528 27792 28416 28564 29529 30192 31744 32768 33728 34816 35712 35898 36704 36864 37056 37249 37888 37944 38998 39168 39372 40256 41292 42624 42846 45288 47616 47864 49152 49408 50592 52224 52496 53847 55056 55584 56832 57128 58497 59058 60384 63488 64269 65536 67456 69632 71424 71796 73408 73728 74112 74498 75776 75888 77996 78336 78744 80512 82584 85248 85692 90576 95232 95728 98304 98816 101184 101711 104448 104992 107694 110112 111168 111747 113664 114256 116994 118116 120768 121397 126976 128538 134912 139264 142848 143592 146816 147456 148224 148996 151552 151776 155992 156672 157488 161024 165168 170496 171384 175491 181152 190464 191456 196608 197632 202368 203422 208896 209984 215388 220224 221371 222336 223494 227328 228512 233988 236232 241536 242794 253952 257076 269824 278528 285696 287184 293632 294912 296448 297992 303104 303552 305133 311984 313344 314976 322048 330336 335241 340992 342768 350982 362304 364191 380928 382912 395264 404736 406844 417792 419968 430776 440448 442742 444672 446988 454656 457024 467976 472464 483072 485588 507904 514152 539648 557056 571392 574368 587264 589824 592896 595984 606208 607104 610266 623968 626688 629952 633233 644096 660672 664113 670482 681984 685536 701964 724608 728382 761856 765824 790528 809472 813688 835584 839936 861552 880896 885484 889344 893976 909312 914048 915399 935952 944928 966144 971176 1015808 1028304 1079296 1092573 1114112 1142784 1148736 1154719 1174528 1185792 1191968 1212416 1214208 1220532 1247936 1253376 1259904 1266466 1288192 1321344 1328226 1340964 1363968 1371072 1378213 1403928 1449216 1456764 1523712 1531648 1581056 1618944 1627376 1671168 1679872 1723104 1761792 1770968 1778688 1787952 1818624 1828096 1830798 1871904 1889856 1899699 1932288 1942352 1992339 2031616 2056608 2158592 2185146 2285568 2297472 2309438 2349056 2371584 2383936 2424832 2428416 2441064 2495872 2506752 2519808 2532932 2576384 2642688 2656452 2681928 2727936 2742144 2756426 2807856 2898432 2913528 3047424 3063296 3162112 3237888 3254752 3342336 3359744 3446208 3464157 3523584 3541936 3557376 3575904 3637248 3656192 3661596 3743808 3763307 3779712 3799398 3864576 3884704 3984678 4113216 4134639 4317184 4370292 4571136 4594944 4618876 4698112 4743168 4767872 4856832 4882128 4991744 5013504 5039616 5065864 5152768 5285376 5312904 5363856 5455872 5484288 5512852 5615712 5699097 5796864 5827056 6094848 6126592 6324224 6475776 6509504 6719488 6892416 6928314 7047168 7083872 7114752 7151808 7274496 7312384 7323192 7487616 7526614 7559424 7598796 7729152 7769408 7969356 8226432 8269278 8634368 8740584 9142272 9189888 9237752 9396224 9486336 9535744 9713664 9764256 9983488 10027008 10079232 10131728 10305536 10392471 10570752 10625808 10727712 10911744 10968576 11025704 11231424 11289921 11398194 11593728 11654112 12253184 12403917 12648448 12951552 13019008 13438976 13784832 13856628 14094336 14167744 14229504 14303616 14624768 14646384 14975232 15053228 15118848 15197592 15458304 15538816 15938712 16452864 16538556 17268736 17481168 18284544 18379776 18475504 18792448 18972672 19071488 19427328 19528512 19630223 19966976 20158464 20263456 20611072 20784942 21141504 21251616 21455424 21823488 21937152 22051408 22462848 22579842 22796388 23187456 23308224 23429621 24506368 24807834 25903104 26038016 26877952 27569664 27713256 28188672 28335488 28459008 28607232 29249536 29292768 29950464 30106456 30237696 30395184 30916608 31077632 31877424 32905728 33077112 33869763 34537472 34962336 36759552 36951008 37584896 37945344 38142976 38854656 39057024 39260446 39933952 40316928 40526912 41222144 41569884 42283008 42503232 42724603 42910848 43874304 44102816 44925696 45159684 45592776 46374912 46616448 46859242 49012736 49615668 51806208 52076032 53755904 55139328 55426512 56377344 56670976 56918016 57214464 58499072 58585536 58890669 59900928 60212912 60475392 60790368 61833216 62155264 63754848 65811456 66154224 67739526 69924672 70288863 73519104 73902016 75169792 76285952 77709312 78114048 78520892 79867904 80633856 81053824 83139768 84566016 85006464 85449206 85821696 87748608 88205632 89851392 90319368 91185552 92749824 93232896 93718484 98025472 99231336 103612416 104152064 107511808 110278656 110853024 112754688 113341952 113836032 114428928 116998144 117171072 117781338 119801856 120425824 120950784 121580736 123666432 124310528 127509696 128173809 131622912 132308448 135479052 139849344 140577726 147038208 147804032 152571904 155418624 156228096 157041784 159735808 161267712 162107648 166279536 169132032 170012928 170898412 171643392 175497216 176411264 176672007 179702784 180638736 182371104 185499648 186465792 187436968 196050944 198462672 208304128 210866589 215023616 220557312 221706048 225509376 226683904 228857856 233996288 234342144 235562676 239603712 240851648 241901568 243161472 248621056 255019392 256347618 263245824 264616896 270958104 279698688 281155452 294076416 295608064 305143808 310837248 312456192 314083568 319471616 322535424 324215296 332559072 338264064 340025856 341796824 343286784 350994432 352822528 353344014 359405568 361277472 364742208 370999296 372931584 374873936 384521427 392101888 396925344 416608256 421733178 441114624 443412096 453367808 457715712 467992576 468684288 471125352 479207424 481703296 483803136 486322944 497242112 510038784 512695236 526491648 529233792 541916208 559397376 562310904 588152832 591216128 610287616 624912384 628167136 638943232 645070848 648430592 665118144 676528128 680051712 683593648 686573568 701988864 705645056 706688028 718811136 722554944 726318251 729484416 745863168 749747872 769042854 793850688 833216512 843466356 882229248 886824192 906735616 915431424 937368576 942250704 958414848 963406592 967606272 972645888 994484224 1020077568 1025390472 1052983296 1058467584 1083832416 1118794752 1124621808 1176305664 1182432256 1220575232 1249824768 1256334272 1277886464 1296861184 1330236288 1360103424 1367187296 1373147136 1403977728 1411290112 1413376056 1437622272 1445109888 1452636502 1458968832 1491726336 1499495744 1538085708 1587701376 1666433024 1686932712 1764458496 1773648384 1813471232 1830862848 1874737152 1884501408 1916829696 1926813184 1935212544 1945291776 1988968448 2040155136 2050780944 2105966592 2116935168 2167664832 2178954753 2237589504 2249243616 2364864512 2441150464 2499649536 2512668544 2593722368 2660472576 2720206848 2734374592 2746294272 2822580224 2826752112 2875244544 2890219776 2905273004 2917937664 2983452672 2998991488 3076171416 3175402752 3332866048 3373865424 3528916992 3547296768 3626942464 3661725696 3749474304 3769002816 3833659392 3853626368 3890583552 3977936896 4080310272 4101561888 4211933184 4233870336 4335329664 4357909506 4475179008 4498487232 4729729024 4999299072 5025337088 5187444736 5320945152 5440413696 5468749184 5492588544 5645160448 5653504224 5750489088 5780439552 5810546008 5835875328 5966905344 5997982976 6152342832 6350805504 6536864259 6665732096 6747730848 7094593536 7253884928 7323451392 7498948608 7538005632 7707252736 7781167104 7955873792 8160620544 8203123776 8467740672 8670659328 8715819012 8950358016 8996974464 9459458048 9998598144 10050674176 10374889472 10641890304 10880827392 10937498368 10985177088 11290320896 11307008448 11500978176 11560879104 11621092016 11671750656 11933810688 11995965952 12304685664 12701611008 13073728518 13495461696 14189187072 14507769856 14997897216 15076011264 15414505472 15562334208 16321241088 16406247552 16935481344 17341318656 17431638024 17900716032 17993948928 18918916096 19997196288 20101348352 20749778944 21283780608 21761654784 21874996736 21970354176 22580641792 22614016896 23121758208 23242184032 23343501312 23867621376 23991931904 24609371328 25403222016 26147457036 26990923392 28378374144 29995794432 30152022528 30829010944 31124668416 32642482176 32812495104 33870962688 34682637312 34863276048 35801432064 35987897856 37837832192 40202696704 41499557888 42567561216 43523309568 43749993472 45161283584 45228033792 46243516416 46484368064 46687002624 47983863808 49218742656 50806444032 52294914072 53981846784 56756748288 59991588864 60304045056 61658021888 62249336832 65284964352 65624990208 67741925376 69365274624 69726552096 71602864128 71975795712 75675664384 80405393408 85135122432 87499986944 90322567168 90456067584 92487032832 92968736128 93374005248 95967727616 98437485312 101612888064 104589828144 107963693568 113513496576 120608090112 123316043776 124498673664 130569928704 131249980416 135483850752 138730549248 139453104192 143951591424 160810786816 170270244864 174999973888 180912135168 184974065664 185937472256 186748010496 191935455232 196874970624 203225776128 209179656288 215927387136 227026993152 241216180224 246632087552 262499960832 270967701504 277461098496 278906208384 287903182848 321621573632 340540489728 349999947776 361824270336 369948131328 371874944512 373496020992 383870910464 393749941248 406451552256 418359312576 431854774272 482432360448 524999921664 554922196992 557812416768 575806365696 643243147264 681080979456 699999895552 723648540672 739896262656 743749889024 767741820928 787499882496 812903104512 836718625152 863709548544 964864720896 1049999843328 1109844393984 1115624833536 1151612731392 1286486294528 1399999791104 1447297081344 1487499778048 1535483641856 1574999764992 1673437250304 1727419097088 1929729441792 2099999686656 2219688787968 2231249667072 2303225462784 2799999582208 2894594162688 2974999556096 3149999529984 3346874500608 3454838194176 3859458883584 4199999373312 4462499334144 4606450925568 5789188325376 5949999112192 6299999059968 6693749001216 6909676388352 8399998746624 8924998668288 11578376650752 11899998224384 12599998119936 13387498002432 13819352776704 17849997336576 23799996448768 25199996239872 26774996004864 35699994673152 47599992897536 53549992009728 71399989346304 107099984019456 142799978692608 214199968038912 428399936077824
- Sum of all divisors σ(n): 1396454156802432
- Sum of proper divisors (its aliquot sum) s(n): 968054220724608
- 428399936077824 is an abundant number, because the sum of its proper divisors (968054220724608) is greater than itself. Its abundance is 539654284646784
Bases of 428399936077824
- Binary: 11000010110100000101000100000001100000000000000002
- Hexadecimal: 0x185A0A2030000
- Base-36: 47US7OZCW0
Squares and roots of 428399936077824
- 428399936077824 squared (4283999360778242) is 183526505231483689244584574976
- 428399936077824 cubed (4283999360778243) is 78622743109754044400558906898076151498932224
-
The
square root of 428399936077824 is 20697824.4286162597 -
The
cube root of 428399936077824 is 75384.6863902987
Scales and comparisons
How big is 428399936077824?- 428,399,936,077,824 seconds is equal to 13,621,792 years, 43 weeks, 4 days, 11 hours, 50 minutes, 24 seconds.
-
To count from 1 to 428,399,936,077,824 would take you about thirty-four million, fifty-four thousand, four hundred eighty-two 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 428399936077824 cubic inches would be around 6282.1 feet tall.
Recreational maths with 428399936077824
- 428399936077824 backwards is 428770639993824
- The number of decimal digits it has is: 15
- The sum of 428399936077824's digits is 81
- 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 428399936077824 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 428399936077824 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/428399936077824/
Chicago style:
Numbermatics. 2024. "Number 428399936077824 - Facts about the integer". https://numbermatics.com/n/428399936077824/
The information we have on file for 428399936077824 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 428399936077824, math, Factors of 428399936077824, curriculum, school, college, exams, university, Prime factorization of 428399936077824, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, three hundred ninety-nine billion, nine hundred thirty-six million, seventy-seven thousand, eight hundred twenty-four.