46428028416
46,428,028,416 is an even composite number composed of six prime numbers multiplied together.
46428028416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 46428028416:
29 × 34 × 72 × 11 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 31 × 67)See below for interesting mathematical facts about the number 46428028416 from the Numbermatics database.
Names of 46428028416
- Cardinal: 46428028416 can be written as Forty-six billion, four hundred twenty-eight million, twenty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.6428028416 × 1010
Factors of 46428028416
Divisors of 46428028416
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 49 54 56 62 63 64 66 67 72 77 81 84 88 93 96 98 99 108 112 124 126 128 132 134 144 147 154 162 168 176 186 189 192 196 198 201 216 217 224 231 248 252 256 264 268 279 288 294 297 308 324 336 341 352 372 378 384 392 396 402 432 434 441 448 462 469 496 504 512 528 536 539 558 567 576 588 594 603 616 648 651 672 682 693 704 737 744 756 768 784 792 804 837 864 868 882 891 896 924 938 992 1008 1023 1056 1072 1078 1116 1134 1152 1176 1188 1206 1232 1296 1302 1323 1344 1364 1386 1407 1408 1474 1488 1512 1519 1536 1568 1584 1608 1617 1674 1728 1736 1764 1782 1792 1809 1848 1876 1953 1984 2016 2046 2077 2079 2112 2144 2156 2211 2232 2268 2304 2352 2376 2387 2412 2464 2511 2592 2604 2646 2688 2728 2772 2814 2816 2948 2976 3024 3038 3069 3136 3168 3216 3234 3283 3348 3456 3472 3528 3564 3584 3618 3696 3752 3906 3968 3969 4032 4092 4154 4158 4221 4224 4288 4312 4422 4464 4536 4557 4608 4704 4752 4774 4824 4851 4928 5022 5159 5184 5208 5292 5376 5427 5456 5544 5628 5632 5859 5896 5952 6048 6076 6138 6231 6237 6272 6336 6432 6468 6566 6633 6696 6912 6944 7056 7128 7161 7236 7392 7504 7812 7936 7938 8064 8184 8308 8316 8442 8448 8576 8624 8844 8928 9072 9114 9207 9408 9504 9548 9648 9702 9849 9856 10044 10318 10368 10416 10584 10752 10854 10912 11088 11256 11718 11792 11904 12096 12152 12276 12462 12474 12544 12663 12672 12864 12936 13132 13266 13392 13671 13824 13888 14112 14256 14322 14472 14539 14553 14784 15008 15477 15624 15872 15876 16128 16368 16616 16632 16709 16884 16896 17152 17248 17577 17688 17856 18144 18228 18414 18693 18816 19008 19096 19296 19404 19698 19712 19899 20088 20636 20736 20832 21168 21483 21708 21824 22176 22512 22847 23436 23584 23808 24192 24304 24552 24924 24948 25088 25326 25344 25728 25872 26264 26532 26784 27342 27621 27776 28224 28512 28644 28944 29078 29106 29547 29568 30016 30954 31248 31752 32256 32736 33232 33264 33418 33768 34304 34496 35154 35376 35712 36113 36288 36456 36828 37386 37632 37989 38016 38192 38592 38808 39396 39424 39798 40176 41013 41272 41472 41664 42336 42966 43416 43617 43648 43659 44352 45024 45694 46431 46872 47168 47616 48384 48608 49104 49848 49896 50127 50652 50688 51456 51744 52528 53064 53568 54684 55242 55552 56079 56448 57024 57288 57888 58156 58212 59094 59136 59697 60032 61908 62496 63504 64449 65472 66464 66528 66836 67536 68541 68992 70308 70752 71424 72226 72576 72912 73656 74772 75264 75978 76032 76384 77184 77616 78792 79596 80352 82026 82544 83328 84672 85932 86832 87234 87296 87318 88641 88704 90048 91388 92862 93744 94336 96768 97216 98208 99696 99792 100254 101304 101773 102912 103488 105056 106128 107136 108339 109368 110484 111104 112158 112896 114048 114576 115776 116312 116424 118188 118272 119394 120064 123039 123816 124992 127008 128898 130851 130944 132928 133056 133672 135072 137082 137984 139293 140616 141504 142848 144452 145152 145824 147312 149544 150381 151956 152064 152768 154368 155232 157584 159192 159929 160704 164052 165088 166656 168237 169344 171864 173664 174468 174592 174636 177282 177408 180096 182776 185724 187488 188672 193347 194432 196416 199392 199584 200508 202608 203546 205623 206976 210112 212256 214272 216678 218736 220968 224316 225792 228096 229152 231552 232624 232848 236376 238788 240128 246078 247632 249984 254016 257796 261702 261888 265856 265923 266112 267344 270144 274164 275968 278586 281232 283008 288904 290304 291648 294624 299088 300762 303912 305319 305536 308736 310464 315168 318384 319858 321408 325017 328104 330176 333312 336474 338688 343728 347328 348936 349272 354564 354816 360192 365552 371448 374976 377344 386694 388864 392553 392832 398784 399168 401016 405216 407092 411246 413952 417879 420224 424512 428544 433356 437472 441936 448632 451143 456192 458304 463104 465248 465696 472752 477576 479787 492156 495264 499968 508032 515592 523404 523776 531712 531846 532224 534688 540288 548328 557172 562464 566016 577808 583296 589248 598176 601524 607824 610638 611072 616869 620928 630336 636768 639716 642816 650034 656208 660352 672948 677376 687456 694656 697872 698544 709128 720384 731104 742896 749952 773388 777728 785106 785664 797568 798336 802032 810432 814184 822492 827904 835758 840448 849024 866712 874944 883872 897264 902286 915957 916608 926208 930496 931392 945504 955152 959574 975051 984312 990528 999936 1016064 1031184 1046808 1063424 1063692 1064448 1069376 1080576 1096656 1114344 1119503 1124928 1132032 1155616 1166592 1177659 1178496 1196352 1203048 1215648 1221276 1222144 1233738 1241856 1260672 1273536 1279432 1285632 1300068 1312416 1320704 1345896 1353429 1374912 1389312 1395744 1397088 1418256 1439361 1462208 1485792 1499904 1546776 1570212 1571328 1595136 1596672 1604064 1620864 1628368 1644984 1671516 1680896 1698048 1733424 1749888 1767744 1794528 1804572 1831914 1833216 1850607 1860992 1862784 1891008 1910304 1919148 1950102 1968624 1981056 2032128 2062368 2093616 2127384 2138752 2161152 2193312 2228688 2239006 2249856 2311232 2333184 2355318 2356992 2392704 2406096 2431296 2442552 2467476 2483712 2521344 2547072 2558864 2600136 2624832 2641408 2691792 2706858 2747871 2749824 2778624 2791488 2794176 2836512 2878722 2924416 2925153 2971584 2999808 3093552 3140424 3190272 3193344 3208128 3241728 3256736 3289968 3343032 3358509 3396096 3466848 3499776 3535488 3589056 3609144 3663828 3666432 3701214 3721984 3725568 3782016 3820608 3838296 3900204 3937248 3962112 4124736 4187232 4254768 4277504 4318083 4386624 4457376 4478012 4499712 4622464 4710636 4713984 4785408 4812192 4862592 4885104 4934952 5042688 5094144 5117728 5200272 5249664 5383584 5413716 5495742 5499648 5582976 5588352 5673024 5757444 5848832 5850306 5943168 6187104 6280848 6416256 6483456 6513472 6579936 6686064 6717018 6933696 6999552 7070976 7178112 7218288 7327656 7402428 7443968 7451136 7564032 7641216 7676592 7800408 7874496 7924224 8243613 8249472 8374464 8509536 8555008 8636166 8773248 8914752 8956024 8999424 9244928 9421272 9570816 9624384 9725184 9770208 9869904 10075527 10188288 10235456 10400544 10499328 10767168 10827432 10991484 10999296 11165952 11176704 11346048 11514888 11697664 11700612 11886336 12374208 12561696 12832512 12954249 13026944 13159872 13372128 13434036 13867392 14141952 14356224 14436576 14655312 14804856 15128064 15282432 15353184 15600816 15748992 16487226 16498944 16748928 17019072 17272332 17546496 17829504 17912048 18489856 18842544 19248768 19450368 19540416 19739808 20151054 20470912 20801088 20998656 21534336 21654864 21982968 22331904 22353408 22692096 23029776 23401224 23772672 24748416 25123392 25665024 25908498 26053888 26319744 26744256 26868072 27734784 28712448 28873152 29310624 29609712 30226581 30564864 30706368 31201632 31497984 32974452 32997888 33497856 34038144 34544664 35092992 35659008 35824096 37685088 38497536 39080832 39479616 40302108 40941824 41602176 43068672 43309728 43965936 45384192 46059552 46802448 49496832 50246784 51816996 52107776 52639488 53488512 53736144 55469568 57746304 58621248 59219424 60453162 61412736 62403264 62995968 65948904 66995712 68076288 69089328 71318016 71648192 75370176 76995072 78161664 78959232 80604216 81883648 83204352 86137344 86619456 87931872 90679743 92119104 93604896 98993664 100493568 103633992 105278976 106977024 107472288 115492608 117242496 118438848 120906324 122825472 124806528 131897808 136152576 138178656 143296384 150740352 156323328 157918464 161208432 166408704 173238912 175863744 181359486 184238208 187209792 200987136 207267984 213954048 214944576 230985216 234484992 236877696 241812648 245650944 249613056 263795616 276357312 286592768 301480704 315836928 322416864 346477824 351727488 362718972 368476416 374419584 414535968 429889152 468969984 473755392 483625296 499226112 527591232 552714624 573185536 602961408 644833728 692955648 703454976 725437944 736952832 748839168 829071936 859778304 947510784 967250592 1055182464 1105429248 1289667456 1406909952 1450875888 1497678336 1658143872 1719556608 1934501184 2110364928 2210858496 2579334912 2901751776 3316287744 3869002368 4220729856 5158669824 5803503552 6632575488 7738004736 11607007104 15476009472 23214014208 46428028416
- Sum of all divisors σ(n): 184236636672
- Sum of proper divisors (its aliquot sum) s(n): 137808608256
- 46428028416 is an abundant number, because the sum of its proper divisors (137808608256) is greater than itself. Its abundance is 91380579840
Bases of 46428028416
- Binary: 1010110011110101001101111110000000002
- Hexadecimal: 0xACF537E00
- Base-36: LBU1S00
Squares and roots of 46428028416
- 46428028416 squared (464280284162) is 2155561822596903469056
- 46428028416 cubed (464280284163) is 100078485551973785174940944695296
-
The
square root of 46428028416 is 215471.6417907471 -
The
cube root of 46428028416 is 3594.1269572573
Scales and comparisons
How big is 46428028416?- 46,428,028,416 seconds is equal to 1,476 years, 13 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 46,428,028,416 would take you about two thousand, nine hundred fifty-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 46428028416 cubic inches would be around 299.5 feet tall.
Recreational maths with 46428028416
- 46428028416 backwards is 61482082464
- The number of decimal digits it has is: 11
- The sum of 46428028416's digits is 45
- More coming soon!
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The information we have on file for 46428028416 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!
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