428406825613312
428,406,825,613,312 is an even composite number composed of five prime numbers multiplied together.
428406825613312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428406825613312:
211 × 73 × 134 × 131 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 131 × 163)See below for interesting mathematical facts about the number 428406825613312 from the Numbermatics database.
Names of 428406825613312
- Cardinal: 428406825613312 can be written as Four hundred twenty-eight trillion, four hundred six billion, eight hundred twenty-five million, six hundred thirteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.28406825613312 × 1014
Factors of 428406825613312
Divisors of 428406825613312
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 131 163 169 182 196 208 224 256 262 326 338 343 364 392 416 448 512 524 637 652 676 686 728 784 832 896 917 1024 1048 1141 1183 1274 1304 1352 1372 1456 1568 1664 1703 1792 1834 2048 2096 2119 2197 2282 2366 2548 2608 2704 2744 2912 3136 3328 3406 3584 3668 4192 4238 4394 4459 4564 4732 5096 5216 5408 5488 5824 6272 6419 6656 6812 7168 7336 7987 8281 8384 8476 8788 8918 9128 9464 10192 10432 10816 10976 11648 11921 12544 12838 13312 13624 14336 14672 14833 15379 15974 16562 16768 16952 17576 17836 18256 18928 20384 20864 21353 21632 21952 22139 23296 23842 25088 25676 26624 27248 27547 28561 29344 29666 30758 31948 33124 33536 33904 35152 35672 36512 37856 40768 41728 42706 43264 43904 44278 44933 46592 47684 50176 51352 54496 55094 55909 57122 57967 58688 59332 61516 63896 66248 67072 67808 70304 71344 73024 75712 81536 83447 83456 85412 86528 87808 88556 89866 93184 95368 100352 102704 103831 107653 108992 110188 111818 114244 115934 117376 118664 123032 127792 132496 134144 135616 140608 142688 146048 149471 151424 154973 163072 166894 166912 170824 173056 175616 177112 179732 186368 190736 192829 199927 205408 207662 215306 217984 220376 223636 228488 231868 234752 237328 246064 255584 264992 268288 271232 277589 281216 285376 287807 292096 298942 302848 309946 326144 333788 333824 341648 346112 351232 354224 358111 359464 381472 385658 399854 410816 415324 430612 435968 440752 447272 456976 463736 469504 474656 492128 511168 529984 542464 555178 562432 570752 575614 584129 584192 597884 605696 619892 652288 667576 683296 702464 708448 716222 718928 726817 753571 762944 771316 799708 821632 830648 861224 871936 881504 894544 913952 927472 939008 949312 984256 1022336 1046297 1059968 1084811 1084928 1110356 1124864 1141504 1151228 1168258 1168384 1195768 1211392 1239784 1304576 1335152 1349803 1366592 1399489 1416896 1432444 1437856 1453634 1507142 1525888 1542632 1599416 1643264 1661296 1722448 1743872 1763008 1789088 1827904 1854944 1878016 1898624 1943123 1968512 2014649 2044672 2092594 2119936 2169622 2169856 2220712 2249728 2283008 2302456 2336516 2336768 2391536 2422784 2479568 2506777 2670304 2699606 2733184 2798978 2833792 2864888 2875712 2907268 3014284 3051776 3085264 3198832 3286528 3322592 3444896 3487744 3526016 3578176 3608657 3655808 3709888 3741491 3797248 3886246 3937024 4029298 4089344 4185188 4239872 4339244 4339712 4441424 4499456 4566016 4604912 4655443 4673032 4783072 4959136 5013554 5340608 5399212 5466368 5597956 5667584 5729776 5751424 5814536 6028568 6103552 6170528 6397664 6573056 6645184 6889792 7052032 7156352 7217314 7311616 7324079 7419776 7482982 7593677 7594496 7772492 7874048 8058596 8178688 8370376 8479744 8678488 8882848 9132032 9209824 9310886 9346064 9448621 9566144 9796423 9918272 10027108 10681216 10798424 10932736 11195912 11335168 11459552 11502848 11629072 12057136 12207104 12341056 12795328 13146112 13290368 13601861 13779584 14102543 14104064 14312704 14434628 14623232 14648158 14839552 14965964 15187354 15188992 15544984 15748096 16117192 16357376 16740752 16959488 17356976 17547439 17765696 18419648 18621772 18692128 18897242 19132288 19592846 19836544 20054216 21362432 21596848 21865472 22391824 22670336 22919104 23005696 23258144 24114272 24414208 24682112 25260599 25590656 26190437 26580736 27203722 27559168 28205086 28208128 28625408 28869256 29246464 29296316 29679104 29931928 30374708 30377984 31089968 31496192 32234384 32588101 33481504 34713952 35094878 35531392 36839296 37243544 37384256 37794484 38264576 39185692 39673088 40108432 42724864 43193696 43730944 44783648 45340672 45838208 46011392 46516288 46912541 48228544 49364224 50521198 51181312 52380874 53161472 54407444 55118336 56410172 56416256 57250816 57738512 58492928 58592632 59358208 59863856 60749416 62179936 64468768 65176202 66963008 69427904 70189756 71062784 73678592 74487088 74768512 75588968 76529152 78371384 79346176 80216864 85449728 86387392 89567296 91676416 92022784 93032576 93825082 95213027 96457088 98717801 98728448 101042396 102362624 104761748 106322944 108814888 110236672 112820344 114501632 115477024 117185264 118716416 119727712 121498832 122832073 124359872 128937536 130352404 133926016 138855808 140379512 142125568 147357184 148974176 149537024 151177936 153058304 156742768 158692352 160433728 170899456 172774784 176824193 179134592 183333059 183352832 186065152 187650164 190426054 192914176 197435602 197456896 202084792 204725248 209523496 212645888 217629776 220473344 225640688 228116707 230954048 234370528 239455424 242997664 245664146 248719744 257875072 260704808 267852032 277711616 280759024 284251136 294714368 297948352 299074048 302355872 306116608 313485536 317384704 320867456 328387787 345549568 353648386 358269184 366666118 366705664 372130304 375300328 380852108 385828352 394871204 394913792 404169584 409450496 419046992 435259552 451281376 456233414 461908096 468741056 478910848 485995328 491328292 497439488 515750144 521409616 535704064 555423232 561518048 568502272 589428736 595896704 598148096 604711744 609863033 626971072 641734912 656775574 691099136 707296772 716538368 733332236 733411328 744260608 750600656 761704216 771656704 789742408 808339168 838093984 870519104 902562752 912466828 923816192 937482112 957821696 971990656 982656584 994878976 1031500288 1042819232 1071408128 1110846464 1123036096 1191793408 1196296192 1209423488 1219726066 1237769351 1253942144 1283331413 1283469824 1313551148 1382198272 1414593544 1433076736 1466664472 1488521216 1501201312 1523408432 1543313408 1579484816 1596816949 1616678336 1676187968 1741038208 1805125504 1824933656 1847632384 1874964224 1915643392 1943981312 1965313168 1989757952 2063000576 2085638464 2142816256 2221692928 2246072192 2298714509 2383586816 2418846976 2439452132 2475538702 2507884288 2566662826 2566939648 2627102296 2764396544 2829187088 2866153472 2933328944 3002402624 3046816864 3158969632 3193633898 3233356672 3352375936 3482076416 3610251008 3649867312 3695264768 3749928448 3831286784 3887962624 3930626336 3979515904 4126001152 4171276928 4269041231 4492144384 4597429018 4767173632 4837693952 4878904264 4951077404 5015768576 5133325652 5133879296 5254204592 5658374176 5866657888 6004805248 6093633728 6317939264 6387267796 6466713344 6704751872 6964152832 7220502016 7299734624 7390529536 7499856896 7662573568 7775925248 7861252672 8342553856 8538082462 8984288768 9194858036 9534347264 9675387904 9757808528 9902154808 10031537152 10266651304 10508409184 11316748352 11733315776 12009610496 12187267456 12635878528 12774535592 12933426688 13409503744 13928305664 14441004032 14599469248 14999713792 15551850496 15722505344 16091001563 16685107712 17076164924 17968577536 18389716072 19350775808 19515617056 19804309616 20063074304 20533302608 21016818368 22633496704 23466631552 24019220992 24374534912 25271757056 25549071184 25866853376 26819007488 27856611328 28882008064 29198938496 29883288617 31445010688 32182003126 33370215424 34152329848 35937155072 36779432144 39031234112 39608619232 41066605216 42033636736 45266993408 46933263104 48038441984 48749069824 50543514112 51098142368 51733706752 53638014976 58397876992 59766577234 62890021376 64364006252 66740430848 68304659696 73558864288 78062468224 79217238464 82133210432 84067273472 90533986816 93866526208 96076883968 97498139648 101087028224 102196284736 116795753984 119533154468 125780042752 128728012504 136609319392 147117728576 156124936448 158434476928 164266420864 168134546944 181067973632 187733052416 194996279296 202174056448 204392569472 209183020319 233591507968 239066308936 251560085504 257456025008 273218638784 294235457152 312249872896 316868953856 328532841728 336269093888 362135947264 375466104832 408785138944 418366040638 467183015936 478132617872 514912050016 546437277568 588470914304 624499745792 633737907712 657065683456 672538187776 817570277888 836732081276 956265235744 1029824100032 1092874555136 1176941828608 1248999491584 1267475815424 1314131366912 1635140555776 1673464162552 1912530471488 2059648200064 2185749110272 2353883657216 2534951630848 2628262733824 3270281111552 3346928325104 3825060942976 4119296400128 4371498220544 4707767314432 6693856650208 7650121885952 8238592800256 8742996441088 13387713300416 15300243771904 16477185600512 26775426600832 30600487543808 32954371201024 53550853201664 61200975087616 107101706403328 214203412806656 428406825613312
- Sum of all divisors σ(n): 1097150037984000
- Sum of proper divisors (its aliquot sum) s(n): 668743212370688
- 428406825613312 is an abundant number, because the sum of its proper divisors (668743212370688) is greater than itself. Its abundance is 240336386757376
Bases of 428406825613312
- Binary: 11000010110100010001111001010100011111000000000002
- Hexadecimal: 0x185A23CA8F800
- Base-36: 47UVDMU0HS
Squares and roots of 428406825613312
- 428406825613312 squared (4284068256133122) is 183532408232074718684951609344
- 428406825613312 cubed (4284068256133123) is 78626536407869621752218504103808414229987328
-
The
square root of 428406825613312 is 20697990.8593397539 -
The
cube root of 428406825613312 is 75385.0905007605
Scales and comparisons
How big is 428406825613312?- 428,406,825,613,312 seconds is equal to 13,622,011 years, 47 weeks, 11 hours, 41 minutes, 52 seconds.
-
To count from 1 to 428,406,825,613,312 would take you about thirty-four million, fifty-five thousand and twenty-nine 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 428406825613312 cubic inches would be around 6282.1 feet tall.
Recreational maths with 428406825613312
- 428406825613312 backwards is 213316528604824
- The number of decimal digits it has is: 15
- The sum of 428406825613312's digits is 55
- 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 428406825613312 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 428406825613312 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/428406825613312/
Chicago style:
Numbermatics. 2024. "Number 428406825613312 - Facts about the integer". https://numbermatics.com/n/428406825613312/
The information we have on file for 428406825613312 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 428406825613312, math, Factors of 428406825613312, curriculum, school, college, exams, university, Prime factorization of 428406825613312, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred six billion, eight hundred twenty-five million, six hundred thirteen thousand, three hundred twelve.