428074901056512
428,074,901,056,512 is an even composite number composed of seven prime numbers multiplied together.
428074901056512 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 428074901056512:
210 × 33 × 17 × 59 × 127 × 197 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 59 × 127 × 197 × 617)See below for interesting mathematical facts about the number 428074901056512 from the Numbermatics database.
Names of 428074901056512
- Cardinal: 428074901056512 can be written as Four hundred twenty-eight trillion, seventy-four billion, nine hundred one million, fifty-six thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.28074901056512 × 1014
Factors of 428074901056512
Divisors of 428074901056512
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 59 64 68 72 96 102 108 118 127 128 136 144 153 177 192 197 204 216 236 254 256 272 288 306 354 381 384 394 408 432 459 472 508 512 531 544 576 591 612 617 708 762 768 788 816 864 918 944 1003 1016 1024 1062 1088 1143 1152 1182 1224 1234 1416 1524 1536 1576 1593 1632 1728 1773 1836 1851 1888 2006 2032 2124 2159 2176 2286 2304 2364 2448 2468 2832 3009 3048 3072 3152 3186 3264 3349 3429 3456 3546 3672 3702 3776 4012 4064 4248 4318 4352 4572 4608 4728 4896 4936 5319 5553 5664 6018 6096 6304 6372 6477 6528 6698 6858 6912 7092 7344 7404 7493 7552 8024 8128 8496 8636 8704 9027 9144 9216 9456 9792 9872 10047 10489 10638 11106 11328 11623 12036 12192 12608 12744 12954 13056 13396 13716 13824 14184 14688 14808 14986 15104 16048 16256 16659 16992 17272 17408 18054 18288 18912 19431 19584 19744 20094 20978 21276 22212 22479 22656 23246 24072 24384 25019 25216 25488 25908 26112 26792 27081 27432 27648 28368 29376 29616 29972 30141 30208 31467 32096 32512 33318 33984 34544 34869 36108 36403 36576 37824 38862 39168 39488 40188 41956 42552 44424 44958 45312 46492 48144 48768 50038 50432 50976 51816 52224 53584 54162 54864 56736 58293 58752 59232 59944 60282 60416 62934 64192 65024 66636 67437 67968 69088 69738 72216 72806 73152 75057 75648 77724 78336 78359 78976 80376 83912 85104 88848 89916 90423 90624 92984 94401 96288 97536 100076 100864 101952 103632 104607 107168 108324 109209 109728 113472 116586 117504 118464 119888 120564 121549 125868 127381 128384 130048 133272 134874 135936 138176 139476 144432 145612 146304 150114 151296 155448 156672 156718 157952 160752 167824 170208 177696 179832 180846 181248 185968 188802 192576 195072 197591 200152 201728 202311 203904 207264 209214 214336 216648 218418 219456 225171 226944 233172 235008 235077 236928 239776 241128 243098 251736 254762 256768 266544 269748 271872 276352 278952 283203 288864 291224 292608 300228 302592 310896 313436 313821 315904 321504 327627 335648 340416 355392 359664 361692 364647 371936 377604 382143 385152 390144 395182 400304 404622 407808 414528 418428 425323 428672 433296 436836 438912 450342 453888 466344 470016 470154 473856 479552 482256 486196 503472 509524 513536 533088 539496 543744 552704 557904 566406 577728 582448 585216 592773 600456 605184 618851 621792 626872 627642 631808 643008 655254 671296 675513 680832 705231 710784 719328 723384 729294 743872 755208 764286 770304 790364 800608 809244 815616 829056 836856 850646 857344 866592 873672 877824 900684 907776 932688 940308 947712 959104 964512 972392 982881 1006944 1019048 1027072 1066176 1078992 1093941 1105408 1115808 1132812 1146429 1155456 1164896 1170432 1185546 1200912 1237702 1243584 1253744 1255284 1275969 1286016 1310508 1332103 1342592 1351026 1361664 1410462 1421568 1438656 1446768 1458588 1476121 1487744 1510416 1528572 1540608 1580728 1601216 1618488 1631232 1658112 1673712 1701292 1714688 1733184 1747344 1755648 1778319 1801368 1815552 1856553 1865376 1880616 1895424 1918208 1929024 1944784 1965762 2013888 2038096 2066333 2115693 2132352 2157984 2187882 2210816 2231616 2265624 2292858 2310912 2329792 2371092 2401824 2475404 2487168 2507488 2510568 2551938 2572032 2621016 2664206 2685184 2702052 2723328 2820924 2843136 2877312 2893536 2917176 2952242 2975488 3020832 3057144 3081216 3161456 3202432 3236976 3281823 3316224 3347424 3402584 3429376 3439287 3466368 3494688 3511296 3556638 3602736 3713106 3730752 3761232 3827907 3836416 3858048 3889568 3931524 3996309 4027776 4076192 4132666 4231386 4264704 4315968 4375764 4428363 4463232 4531248 4585716 4621824 4623181 4659584 4742184 4803648 4950808 4974336 5014976 5021136 5103876 5144064 5242032 5328412 5334957 5370368 5404104 5446656 5569659 5641848 5686272 5754624 5787072 5834352 5904484 5950976 6041664 6114288 6198999 6322912 6404864 6473952 6563646 6632448 6694848 6805168 6878574 6932736 6989376 7113276 7171391 7205472 7426212 7461504 7522464 7655814 7672832 7716096 7779136 7863048 7992618 8055552 8152384 8265332 8462772 8529408 8631936 8751528 8856726 8926464 9062496 9171432 9243648 9246362 9319168 9484368 9607296 9901616 9948672 10029952 10042272 10207752 10288128 10484064 10656824 10669914 10740736 10808208 11139318 11283696 11483721 11509248 11574144 11668704 11808968 11901952 11988927 12083328 12228576 12397998 12645824 12809728 12947904 13127292 13285089 13389696 13610336 13757148 13865472 13869543 13978752 14226552 14342782 14410944 14852424 14923008 15044928 15311628 15432192 15436723 15558272 15726096 15985236 16111104 16304768 16530664 16708977 16925544 17058816 17263872 17503056 17713452 17852928 18124992 18342864 18492724 18596997 18638336 18968736 19214592 19803232 19897344 20059904 20084544 20415504 20968128 21313648 21339828 21514173 21616416 22278636 22567392 22967442 23018496 23148288 23337408 23617936 23977854 24166656 24457152 24795996 25094057 25291648 25619456 25895808 26254584 26570178 26779392 27220672 27514296 27730944 27739086 27957504 28453104 28685564 28821888 29704848 29846016 30089856 30623256 30864384 30873446 31116544 31452192 31970472 32222208 32609536 33061328 33417954 33851088 34527744 35006112 35426904 35705856 35966781 36249984 36685728 36985448 37193994 37276672 37937472 38429184 39606464 39855267 40119808 40169088 40831008 41608629 41936256 42627296 42679656 43028346 43232832 44557272 45134784 45934884 46296576 46310169 46674816 47235872 47955708 48333312 48914304 49591992 50188114 50583296 51791616 52509168 53140356 53558784 54441344 55028592 55478172 55790991 55915008 56906208 57371128 57643776 59409696 59692032 60179712 61246512 61746892 62233088 62904384 63940944 64542519 65219072 66122656 66835908 67702176 69055488 70012224 70853808 71933562 72499968 73371456 73970896 74387988 75282171 75874944 76858368 78594077 79212928 79710534 80239616 80338176 81662016 83217258 83872512 85254592 85359312 86056692 86465664 89114544 90269568 91869768 92593152 92620338 93349632 94471744 95911416 96666624 97828608 99183984 100376228 101166592 103583232 105018336 106280712 107117568 108882688 110057184 110956344 111581982 111830016 113812416 114742256 115287552 118819392 120359424 121913647 122493024 123493784 124466176 124825887 125808768 127881888 129085038 130438144 132245312 133671816 135404352 138930507 140024448 141707616 143867124 144999936 146742912 147941792 148775976 150564342 151749888 157188154 158425856 159421068 160676352 163324032 166434516 167745024 170509184 170718624 172113384 172931328 178229088 180539136 183739536 185240676 186699264 188943488 191822832 193627557 195657216 198367968 200752456 202333184 207166464 210036672 212561424 217765376 220114368 221912688 223163964 225846513 227624832 229484512 230575104 235782231 237638784 240718848 243827294 244986048 246987568 249651774 251617536 255763776 258170076 262424291 264490624 267343632 270808704 277861014 280048896 283415232 287734248 289999872 293485824 295883584 297551952 301128684 303499776 314376308 316851712 318842136 321352704 326648064 332869032 335490048 341018368 341437248 344226768 345862656 356458176 361078272 365740941 367479072 370481352 373398528 377886976 383645664 387255114 391314432 396735936 401504912 416791521 420073344 425122848 435530752 440228736 443825376 446327928 451693026 455249664 458969024 471564462 475277568 487654588 489972096 493975136 499303548 503235072 511527552 516340152 524848582 528981248 534687264 541617408 555722028 560097792 566830464 575468496 586971648 591767168 595103904 602257368 606999552 628752616 633703424 637684272 653296128 665738064 677539539 682036736 682874496 688453536 691725312 707346693 712916352 722156544 731481882 734958144 740962704 755773952 767291328 774510228 787272873 793471872 803009824 833583042 840146688 850245696 880457472 887650752 892655856 903386052 910499328 910766657 917938048 943128924 950555136 975309176 979944192 987950272 998607096 1006470144 1023055104 1032680304 1049697164 1057962496 1069374528 1083234816 1097222823 1111444056 1120195584 1133660928 1150936992 1173943296 1183534336 1190207808 1204514736 1257505232 1275368544 1306592256 1331476128 1355079078 1364073472 1365748992 1376907072 1414693386 1425832704 1462963764 1469916288 1481925408 1511547904 1534582656 1549020456 1574545746 1586943744 1606019648 1667166084 1680293376 1700491392 1760914944 1775301504 1785311712 1806772104 1820998656 1821533314 1835876096 1886257848 1901110272 1950618352 1959888384 1975900544 1997214192 2046110208 2065360608 2099394328 2115924992 2122040079 2138749056 2166469632 2194445646 2222888112 2267321856 2301873984 2361818619 2367068672 2380415616 2409029472 2515010464 2550737088 2662952256 2710158156 2731497984 2732299971 2753814144 2829386772 2851665408 2925927528 2939832576 2963850816 3069165312 3098040912 3149091492 3173887488 3212039296 3291668469 3334332168 3360586752 3400982784 3521829888 3550603008 3570623424 3613544208 3643066628 3671752192 3772515696 3901236704 3919776768 3951801088 3994428384 4092220416 4130721216 4198788656 4244080158 4277498112 4388891292 4445776224 4534643712 4603747968 4723637238 4734137344 4760831232 4818058944 5030020928 5101474176 5325904512 5420316312 5462995968 5464599942 5507628288 5658773544 5703330816 5851855056 5879665152 5927701632 6138330624 6196081824 6298182984 6347774976 6424078592 6583336938 6668664336 6801965568 7085455857 7101206016 7141246848 7227088416 7286133256 7343504384 7545031392 7802473408 7903602176 7988856768 8196899913 8261442432 8397577312 8488160316 8554996224 8777782584 8891552448 9207495936 9447274476 9521662464 9636117888 10060041856 10202948352 10651809024 10840632624 10929199884 11015256576 11317547088 11703710112 11759330304 11855403264 12276661248 12392163648 12596365968 12848157184 13166673876 13337328672 13603931136 14170911714 14202412032 14282493696 14454176832 14572266512 15090062784 15483033169 15604946816 15807204352 15977713536 16393799826 16522884864 16795154624 16976320632 17109992448 17555565168 17783104896 18414991872 18894548952 19043324928 19272235776 20120083712 20405896704 21303618048 21681265248 21858399768 22030513152 22635094176 23407420224 23710806528 24590699739 24784327296 25192731936 25696314368 26333347752 26674657344 28341823428 28564987392 28908353664 29144533024 30180125568 30966066338 31209893632 31955427072 32787599652 33045769728 33590309248 33952641264 35111130336 35566209792 36829983744 37789097904 38544471552 40240167424 40811793408 42607236096 43362530496 43716799536 45270188352 46449099507 46814840448 47421613056 49181399478 49568654592 50385463872 52666695504 53349314688 56683646856 57129974784 57816707328 58289066048 60360251136 61932132676 62419787264 63910854144 65575199304 66091539456 67180618496 67905282528 70222260672 71132419584 75578195808 77088943104 80480334848 86725060992 87433599072 90540376704 92898199014 93629680896 98362798956 99137309184 100770927744 105333391008 106698629376 113367293712 115633414656 116578132096 120720502272 123864265352 124839574528 127821708288 131150398608 134361236992 135810565056 139347298521 140444521344 142264839168 151156391616 173450121984 174867198144 181080753408 185796398028 187259361792 196725597912 198274618368 201541855488 210666782016 213397258752 226734587424 231266829312 233156264192 241441004544 247728530704 262300797216 268722473984 271621130112 278694597042 280889042688 302312783232 346900243968 349734396288 362161506816 371592796056 374518723584 393451195824 403083710976 418041895563 421333564032 426794517504 453469174848 466312528384 495457061408 524601594432 543242260224 557389194084 561778085376 604625566464 693800487936 699468792576 724323013632 743185592112 786902391648 806167421952 836083791126 842667128064 906938349696 932625056768 990914122816 1049203188864 1086484520448 1114778388168 1123556170752 1209251132928 1398937585152 1486371184224 1573804783296 1672167582252 1685334256128 1813876699392 1981828245632 2098406377728 2172969040896 2229556776336 2418502265856 2797875170304 2972742368448 3147609566592 3344335164504 3370668512256 3627753398784 3963656491264 4196812755456 4459113552672 5945484736896 6295219133184 6688670329008 7255506797568 7927312982528 8393625510912 8918227105344 11890969473792 12590438266368 13377340658016 15854625965056 17836454210688 23781938947584 25180876532736 26754681316032 35672908421376 47563877895168 53509362632064 71345816842752 107018725264128 142691633685504 214037450528256 428074901056512
- Sum of all divisors σ(n): 1385049275596800
- Sum of proper divisors (its aliquot sum) s(n): 956974374540288
- 428074901056512 is an abundant number, because the sum of its proper divisors (956974374540288) is greater than itself. Its abundance is 528899473483776
Bases of 428074901056512
- Binary: 11000010101010100111101000110101000101100000000002
- Hexadecimal: 0x18554F46A2C00
- Base-36: 47QMW7ITC0
Squares and roots of 428074901056512
- 428074901056512 squared (4280749010565122) is 183248120914542538613817606144
- 428074901056512 cubed (4280749010565123) is 78443921229284544486521276924293852302409728
-
The
square root of 428074901056512 is 20689971.0259949857 -
The
cube root of 428074901056512 is 75365.6163107051
Scales and comparisons
How big is 428074901056512?- 428,074,901,056,512 seconds is equal to 13,611,457 years, 38 weeks, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 428,074,901,056,512 would take you about thirty-four million, twenty-eight thousand, six hundred forty-four 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 428074901056512 cubic inches would be around 6280.5 feet tall.
Recreational maths with 428074901056512
- 428074901056512 backwards is 215650109470824
- 428074901056512 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428074901056512's digits is 54
- 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 428074901056512 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 428074901056512 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/428074901056512/
Chicago style:
Numbermatics. 2024. "Number 428074901056512 - Facts about the integer". https://numbermatics.com/n/428074901056512/
The information we have on file for 428074901056512 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 428074901056512, math, Factors of 428074901056512, curriculum, school, college, exams, university, Prime factorization of 428074901056512, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, seventy-four billion, nine hundred one million, fifty-six thousand, five hundred twelve.