428825090304
428,825,090,304 is an even composite number composed of six prime numbers multiplied together.
428825090304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428825090304:
28 × 33 × 13 × 17 × 412 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 41 × 41 × 167)See below for interesting mathematical facts about the number 428825090304 from the Numbermatics database.
Names of 428825090304
- Cardinal: 428825090304 can be written as Four hundred twenty-eight billion, eight hundred twenty-five million, ninety thousand, three hundred four.
Scientific notation
- Scientific notation: 4.28825090304 × 1011
Factors of 428825090304
Divisors of 428825090304
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 41 48 51 52 54 64 68 72 78 82 96 102 104 108 117 123 128 136 144 153 156 164 167 192 204 208 216 221 234 246 256 272 288 306 312 328 334 351 369 384 408 416 432 442 459 468 492 501 533 544 576 612 624 656 663 668 697 702 738 768 816 832 864 884 918 936 984 1002 1066 1088 1107 1152 1224 1248 1312 1326 1336 1394 1404 1476 1503 1599 1632 1664 1681 1728 1768 1836 1872 1968 1989 2004 2091 2132 2171 2176 2214 2304 2448 2496 2624 2652 2672 2788 2808 2839 2952 3006 3198 3264 3328 3362 3456 3536 3672 3744 3936 3978 4008 4182 4264 4342 4352 4428 4509 4797 4896 4992 5043 5248 5304 5344 5576 5616 5678 5904 5967 6012 6273 6396 6513 6528 6724 6847 6912 7072 7344 7488 7872 7956 8016 8364 8517 8528 8684 8856 9018 9061 9594 9792 9984 10086 10496 10608 10688 11152 11232 11356 11808 11934 12024 12546 12792 13026 13056 13448 13694 14144 14391 14688 14976 15129 15744 15912 16032 16728 17034 17056 17368 17712 18036 18122 18819 19188 19539 19584 20172 20541 21216 21376 21853 22304 22464 22712 23616 23868 24048 25092 25551 25584 26052 26896 27183 27388 28288 28577 28782 29376 29952 30258 31488 31824 32064 33456 34068 34112 34736 35424 36072 36244 36907 37638 38376 39078 39168 40344 41082 42432 42752 43706 44608 44928 45387 45424 47232 47736 48096 50184 51102 51168 52104 53792 54366 54776 56576 57154 57564 58617 58752 60516 61623 63648 64128 65559 66912 68136 68224 69472 70848 72144 72488 73814 75276 76653 76752 78156 80688 81549 82164 84864 85731 87412 89011 89216 89856 90774 90848 94464 95472 96192 100368 102204 102336 104208 107584 108732 109552 110721 114308 115128 116399 117234 117504 121032 123246 127296 128256 131118 133824 136272 136448 138944 141696 144288 144976 147628 150552 153306 153504 156312 161376 163098 164328 169728 171462 174824 178022 178432 181548 181696 184869 190944 192384 196677 200736 204408 204672 208416 215168 217464 219104 221442 228616 230256 232798 234468 242064 244647 246492 254592 257193 262236 267033 267648 272544 277888 280727 283392 288576 289952 295256 301104 306612 307008 312624 322752 326196 328656 332163 342924 349197 349648 356044 363096 363392 369738 371501 381888 384768 393354 401472 408816 409344 416832 430336 434928 438208 442884 457232 460512 465596 468936 484128 489294 492984 509184 514386 524472 534066 535296 545088 555776 561454 577152 579904 590031 590512 602208 613224 614016 625248 645504 652392 657312 664326 685848 698394 699296 712088 726192 726784 739476 743002 763776 771579 786708 801099 802944 817632 833664 842181 869856 876416 885768 914464 921024 931192 937872 968256 978588 985968 996489 1028772 1047591 1048944 1068132 1090176 1114503 1122908 1154304 1159808 1180062 1181024 1204416 1226448 1228032 1250496 1291008 1304784 1314624 1328652 1371696 1396788 1398592 1424176 1452384 1478952 1486004 1513187 1527552 1543158 1573416 1602198 1605888 1635264 1667328 1684362 1739712 1752832 1771536 1828928 1842048 1862384 1875744 1936512 1957176 1971936 1992978 2057544 2095182 2097888 2136264 2180352 2229006 2245816 2319616 2360124 2362048 2403297 2408832 2452896 2500992 2526543 2609568 2629248 2657304 2743392 2793576 2797184 2848352 2904768 2957904 2972008 3026374 3086316 3142773 3146832 3204396 3270528 3343509 3368724 3479424 3543072 3649451 3657856 3684096 3724768 3751488 3873024 3914352 3943872 3985956 4115088 4190364 4195776 4272528 4458012 4491632 4539561 4720248 4724096 4772359 4806594 4817664 4905792 5001984 5053086 5219136 5258496 5314608 5486784 5587152 5594368 5696704 5809536 5915808 5944016 6052748 6172632 6285546 6293664 6408792 6541056 6687018 6737448 6958848 7086144 7298902 7315712 7449536 7502976 7579629 7828704 7887744 7971912 8230176 8380728 8391552 8545056 8916024 8983264 9079122 9440496 9448192 9544718 9613188 9811584 10030527 10106172 10438272 10629216 10948353 10973568 11174304 11393408 11619072 11831616 11888032 12105496 12345264 12571092 12587328 12817584 13374036 13474896 13618683 14172288 14317077 14597804 14899072 15005952 15159258 15657408 15775488 15943824 16460352 16761456 16783104 17090112 17832048 17966528 18158244 18880992 19089436 19226376 19623168 20061054 20212344 20876544 21258432 21896706 21947136 22348608 22786816 23663232 23776064 24210992 24690528 25142184 25174656 25635168 26748072 26949792 27237366 28344576 28634154 29195608 29798144 30318516 31314816 31887648 32845059 32920704 33522912 34180224 35664096 35933056 36316488 37761984 38178872 38452752 40122108 40424688 40856049 42516864 42951231 43793412 44697216 47326464 47552128 48421984 49381056 50284368 50349312 51270336 53496144 53899584 54474732 57268308 58391216 60637032 62040667 62629632 63775296 65690118 65841408 67045824 68360448 71328192 71866112 72632976 75523968 76357744 76905504 80244216 80849376 81712098 85033728 85902462 87586824 89394432 95104256 96843968 98535177 98762112 100568736 102540672 106992288 107799168 108949464 114536616 116782432 121274064 124081334 127550592 128853693 131380236 134091648 142656384 145265952 151047936 152715488 153811008 160488432 161698752 163424196 171804924 175173648 186122001 193687936 197070354 197524224 201137472 205081344 213984576 215598336 217898928 229073232 233564864 242548128 248162668 255101184 257707386 262760472 268183296 285312768 290531904 305430976 307622016 320976864 323397504 326848392 343609848 350347296 372244002 387375872 394140708 402274944 427969152 435797856 458146464 467129728 485096256 496325336 515414772 525520944 558366003 581063808 610861952 615244032 641953728 646795008 653696784 687219696 700694592 744488004 788281416 804549888 855938304 871595712 916292928 934259456 970192512 992650672 1030829544 1051041888 1116732006 1162127616 1221723904 1283907456 1307393568 1374439392 1401389184 1488976008 1576562832 1675098009 1743191424 1832585856 1940385024 1985301344 2061659088 2102083776 2233464012 2567814912 2614787136 2748878784 2802778368 2977952016 3153125664 3350196018 3486382848 3665171712 3970602688 4123318176 4204167552 4466928024 5229574272 5497757568 5955904032 6306251328 6700392036 7941205376 8246636352 8408335104 8933856048 10459148544 10995515136 11911808064 12612502656 13400784072 15882410752 16493272704 17867712096 23823616128 25225005312 26801568144 32986545408 35735424192 47647232256 53603136288 71470848384 107206272576 142941696768 214412545152 428825090304
- Sum of all divisors σ(n): 1490994328320
- Sum of proper divisors (its aliquot sum) s(n): 1062169238016
- 428825090304 is an abundant number, because the sum of its proper divisors (1062169238016) is greater than itself. Its abundance is 633344147712
Bases of 428825090304
- Binary: 1100011110101111111011110011001000000002
- Hexadecimal: 0x63D7F79900
- Base-36: 5GZZDXC0
Squares and roots of 428825090304
- 428825090304 squared (4288250903042) is 183890958074233754812416
- 428825090304 cubed (4288250903043) is 78857056702272367843039285780414464
-
The
square root of 428825090304 is 654847.3793976731 -
The
cube root of 428825090304 is 7540.9615993627
Scales and comparisons
How big is 428825090304?- 428,825,090,304 seconds is equal to 13,635 years, 16 weeks, 1 day, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 428,825,090,304 would take you about twenty-seven thousand, two hundred seventy 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 428825090304 cubic inches would be around 628.4 feet tall.
Recreational maths with 428825090304
- 428825090304 backwards is 403090528824
- The number of decimal digits it has is: 12
- The sum of 428825090304's digits is 45
- More coming soon!
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