428631325310304
428,631,325,310,304 is an even composite number composed of seven prime numbers multiplied together.
428631325310304 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 428631325310304:
25 × 33 × 37 × 41 × 149 × 809 × 2713
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 37 × 41 × 149 × 809 × 2713)See below for interesting mathematical facts about the number 428631325310304 from the Numbermatics database.
Names of 428631325310304
- Cardinal: 428631325310304 can be written as Four hundred twenty-eight trillion, six hundred thirty-one billion, three hundred twenty-five million, three hundred ten thousand, three hundred four.
Scientific notation
- Scientific notation: 4.28631325310304 × 1014
Factors of 428631325310304
Divisors of 428631325310304
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 41 48 54 72 74 82 96 108 111 123 144 148 149 164 216 222 246 288 296 298 328 333 369 432 444 447 492 592 596 656 666 738 809 864 888 894 984 999 1107 1184 1192 1312 1332 1341 1476 1517 1618 1776 1788 1968 1998 2214 2384 2427 2664 2682 2713 2952 3034 3236 3552 3576 3936 3996 4023 4428 4551 4768 4854 5328 5364 5426 5513 5904 6068 6109 6472 7152 7281 7992 8046 8139 8856 9102 9708 10656 10728 10852 11026 11808 12136 12218 12944 13653 14304 14562 15984 16092 16278 16539 17712 18204 18327 19416 21456 21704 21843 22052 24272 24417 24436 25888 27306 29124 29933 31968 32184 32556 33078 33169 35424 36408 36654 38832 40959 42912 43408 43686 44104 48544 48834 48872 49617 54612 54981 58248 59866 64368 65112 66156 66338 72816 73251 73308 77664 81918 86816 87372 88208 89799 97668 97744 99234 99507 100381 109224 109962 111233 116496 119732 120541 128736 130224 132312 132676 145632 146502 146616 148851 163836 164943 174744 176416 179598 195336 195488 198468 199014 200762 218448 219924 222466 226033 232992 239464 241082 260448 264624 265352 269397 293004 293232 297702 298521 301143 327672 329886 333699 349488 359196 361623 390672 396936 398028 401524 404237 436896 439848 444932 452066 478928 482164 529248 530704 538794 586008 586464 595404 597042 602286 655344 659772 667398 678099 698976 718392 723246 781344 793872 796056 803048 808191 808474 879696 889864 895563 903429 904132 957856 964328 1001097 1061408 1077588 1084869 1172016 1190808 1194084 1204572 1212711 1227253 1310688 1319544 1334796 1356198 1436784 1446492 1587744 1592112 1606096 1616382 1616948 1759392 1779728 1791126 1806858 1808264 1928656 2002194 2034297 2155176 2169738 2194817 2344032 2381616 2388168 2409144 2425422 2454506 2639088 2669592 2710287 2712396 2873568 2892984 3003291 3184224 3212192 3232764 3233896 3254607 3559456 3582252 3613716 3616528 3638133 3681759 3857312 4004388 4068594 4115621 4310352 4339476 4389634 4460017 4763232 4776336 4818288 4850844 4909012 4942181 5278176 5339184 5420574 5424792 5785968 6006582 6102891 6465528 6467792 6509214 6584451 7164504 7227432 7233056 7276266 7363518 8008776 8137188 8231242 8620704 8678952 8779268 8920034 9552672 9636576 9701688 9818024 9884362 10678368 10841148 10849584 10914399 11045277 11571936 12013164 12205782 12346863 12931056 12935584 13018428 13168902 13380051 14329008 14454864 14552532 14727036 14826543 14956769 16017552 16274376 16462484 16573717 17357904 17558536 17840068 19403376 19636048 19753353 19768724 21682296 21699168 21828798 22090554 24026328 24411564 24693726 25862112 26036856 26337804 26760102 28658016 28909728 29105064 29454072 29653086 29913538 32035104 32548752 32924968 33135831 33147434 34715808 35117072 35680136 37040589 38806752 39272096 39506706 39537448 40140153 43364592 43657596 44181108 44479629 44870307 48052656 48823128 49387452 49721151 52073712 52675608 53520204 58210128 58908144 59260059 59306172 59827076 65097504 65849936 66271662 66294868 70234144 71360272 74081178 79013412 79074896 80280306 81208229 86729184 87315192 88362216 88959258 89740614 89987497 96105312 97646256 98774904 99442302 104147424 105351216 107040408 111121767 116420256 117816288 118520118 118612344 119654152 120420459 131699872 132543324 132589736 133438887 134610921 142720544 148162356 149163453 158026824 158149792 160560612 162416458 174630384 176724432 177918516 179481228 179974994 182860697 195292512 197549808 198884604 210702432 214080816 222243534 237040236 237224688 239308304 240840918 243624687 265086648 265179472 266877774 269221842 269962491 296324712 298326906 316053648 321121224 324832916 327027733 349260768 353448864 355837032 358962456 359949988 365721394 395099616 397769208 403832763 428161632 444487068 447490359 474080472 474449376 478616608 481681836 487249374 530173296 530358944 533755548 538443684 539924982 548582091 592649424 596653812 613227529 632107296 642242448 649665832 654055466 711674064 717924912 719899976 730874061 731442788 795538416 807665526 809887473 888974136 894980718 948160944 963363672 974498748 981083199 1060346592 1067511096 1076887368 1079849964 1097164182 1185298848 1193307624 1226455058 1284484896 1299331664 1308110932 1423348128 1435849824 1439799952 1461748122 1462885576 1591076832 1615331052 1619774946 1645746273 1777948272 1789961436 1839682587 1896321888 1926727344 1948997496 1962166398 2135022192 2153774736 2159699928 2192622183 2194328364 2386615248 2429662419 2452910116 2598663328 2616221864 2879599904 2923496244 2925771152 2943249597 3230662104 3239549892 3291492546 3329537389 3555896544 3579922872 3679365174 3853454688 3897994992 3924332796 4270044384 4307549472 4319399856 4385244366 4388656728 4773230496 4859324838 4905820232 4937238819 5232443728 5519047761 5846992488 5851542304 5886499194 6461324208 6479099784 6582985092 6659074778 7159845744 7358730348 7795989984 7848665592 8638799712 8770488732 8777313456 8829748791 9718649676 9811640464 9874477638 9988612167 10464887456 11038095522 11693984976 11772998388 12100026121 12922648416 12958199568 13165970184 13318149556 13408137053 14319691488 14717460696 15697331184 16557143283 17540977464 17554626912 17659497582 19437299352 19623280928 19748955276 19977224334 22076191044 23387969952 23545996776 24200052242 25916399136 26331940368 26636299112 26816274106 29434921392 29965836501 31394662368 33114286566 35081954928 35318995164 36300078363 38874598704 39497910552 39954448668 40224411159 44152382088 47091993552 48400104484 52663880736 53272598224 53632548212 58869842784 59931673002 66228573132 70163909856 70637990328 72600156726 77749197408 78995821104 79908897336 80448822318 88304764176 89897509503 94183987104 96800208968 106545196448 107265096424 108900235089 119863346004 120673233477 132457146264 141275980656 145200313452 157991642208 159817794672 160897644636 176609528352 179795019006 193600417936 214530192848 217800470178 239726692008 241346466954 264914292528 282551961312 290400626904 319635589344 321795289272 326700705267 359590038012 362019700431 387200835872 429060385696 435600940356 479453384016 482692933908 496101070961 529828585056 580801253808 643590578544 653401410534 719180076024 724039400862 871201880712 958906768032 965385867816 992202141922 1161602507616 1287181157088 1306802821068 1438360152048 1448078801724 1488303212883 1742403761424 1930771735632 1984404283844 2613605642136 2876720304096 2896157603448 2976606425766 3484807522848 3861543471264 3968808567688 4464909638649 5227211284272 5792315206896 5953212851532 7937617135376 8929819277298 10454422568544 11584630413792 11906425703064 13394728915947 15875234270752 17859638554596 23812851406128 26789457831894 35719277109192 47625702812256 53578915663788 71438554218384 107157831327576 142877108436768 214315662655152 428631325310304
- Sum of all divisors σ(n): 1326232141920000
- Sum of proper divisors (its aliquot sum) s(n): 897600816609696
- 428631325310304 is an abundant number, because the sum of its proper divisors (897600816609696) is greater than itself. Its abundance is 468969491299392
Bases of 428631325310304
- Binary: 11000010111010110100000011110001001111101011000002
- Hexadecimal: 0x185D681E27D60
- Base-36: 47XQIG5NC0
Squares and roots of 428631325310304
- 428631325310304 squared (4286313253103042) is 183724813037267654441888572416
- 428631325310304 cubed (4286313253103043) is 78750210104551853487785136540964322774974464
-
The
square root of 428631325310304 is 20703413.3734102889 -
The
cube root of 428631325310304 is 75398.2563154225
Scales and comparisons
How big is 428631325310304?- 428,631,325,310,304 seconds is equal to 13,629,150 years, 15 weeks, 4 days, 14 hours, 38 minutes, 24 seconds.
-
To count from 1 to 428,631,325,310,304 would take you about thirty-four million, seventy-two thousand, eight hundred seventy-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 428631325310304 cubic inches would be around 6283.2 feet tall.
Recreational maths with 428631325310304
- 428631325310304 backwards is 403013523136824
- The number of decimal digits it has is: 15
- The sum of 428631325310304's digits is 45
- 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 428631325310304 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 428631325310304 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/428631325310304/
Chicago style:
Numbermatics. 2024. "Number 428631325310304 - Facts about the integer". https://numbermatics.com/n/428631325310304/
The information we have on file for 428631325310304 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 428631325310304, math, Factors of 428631325310304, curriculum, school, college, exams, university, Prime factorization of 428631325310304, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, six hundred thirty-one billion, three hundred twenty-five million, three hundred ten thousand, three hundred four.