428837940816642
428,837,940,816,642 is an even composite number composed of nine prime numbers multiplied together.
What does the number 428837940816642 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
428837940816642 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428837940816642:
2 × 32 × 7 × 19 × 37 × 61 × 73 × 631 × 1723
(2 × 3 × 3 × 7 × 19 × 37 × 61 × 73 × 631 × 1723)See below for interesting mathematical facts about the number 428837940816642 from the Numbermatics database.
Names of 428837940816642
- Cardinal: 428837940816642 can be written as Four hundred twenty-eight trillion, eight hundred thirty-seven billion, nine hundred forty million, eight hundred sixteen thousand, six hundred forty-two.
Scientific notation
- Scientific notation: 4.28837940816642 × 1014
Factors of 428837940816642
Divisors of 428837940816642
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 37 38 42 57 61 63 73 74 111 114 122 126 133 146 171 183 219 222 259 266 333 342 366 399 427 438 511 518 549 631 657 666 703 777 798 854 1022 1098 1159 1197 1262 1281 1314 1387 1406 1533 1554 1723 1893 2109 2257 2318 2331 2394 2562 2701 2774 3066 3446 3477 3786 3843 4161 4218 4417 4453 4514 4599 4662 4921 5169 5402 5679 6327 6771 6954 7686 8103 8113 8322 8834 8906 9198 9709 9842 10338 10431 11358 11989 12061 12483 12654 13251 13359 13542 14763 15507 15799 16206 16226 18907 19418 20313 20862 23347 23978 24122 24309 24339 24966 26502 26718 29127 29526 31014 31171 31598 32737 35967 36183 37814 38491 39753 40077 40626 42883 44289 46063 46694 47397 48618 48678 51319 56721 58254 62342 63751 65474 70041 71934 72366 73017 76982 79506 80154 83923 84607 85766 87381 88578 92126 93513 94794 98211 102638 105103 107901 108549 113442 115473 125779 127502 128649 138189 140082 142191 146034 153957 163429 164761 167846 169214 170163 174762 187026 191253 196422 210123 210206 215802 217098 229159 230946 251558 251769 253821 257298 269437 276378 280539 284382 294633 300181 307914 315309 322441 326858 329522 340326 346419 359233 377337 382506 385947 414567 420246 443593 446257 458318 461871 490287 494283 503538 507642 538874 561078 573759 589266 592249 600362 630618 644882 687477 692838 718466 731329 735721 754674 755307 761463 771894 808311 829134 875197 880453 887186 892514 900543 923742 945927 967323 980574 988566 1077699 1087213 1132011 1147518 1153327 1184498 1211269 1330779 1338771 1374954 1424167 1462658 1470861 1471442 1482849 1510614 1522926 1616622 1704331 1750394 1760906 1776747 1801086 1891854 1934646 1996957 2062431 2155398 2174426 2193987 2207163 2264022 2306654 2389801 2422538 2424933 2625591 2641359 2661558 2677542 2701629 2809843 2848334 2901969 2941722 2965698 3105151 3130459 3233097 3261639 3408662 3459981 3553494 3633807 3888811 3992337 3993914 4016313 4124862 4272501 4387974 4414326 4653823 4779602 4849866 5112993 5119303 5251182 5282718 5330241 5403258 5619686 5803938 5990871 6126379 6210302 6260918 6466194 6523278 6581961 6621489 6919962 7169403 7267614 7610491 7672519 7777622 7876773 7924077 7984674 8032626 8429529 8478883 8545002 9307646 9315453 9391377 9784917 9969169 10225986 10238606 10379943 10660482 10901421 11666433 11930317 11981742 12252758 12817503 13163922 13242978 13961469 13978699 14338806 15220982 15338979 15345038 15357909 15753546 15848154 16728607 16859058 16957766 17972613 18379137 18630906 18782754 19569834 19668901 19938338 20657047 20759886 21508209 21802842 21913213 22831473 23017557 23332866 23860634 25288587 25436649 25635006 27059173 27221677 27922938 27946359 27957398 28174131 29907507 30677958 30715818 32382289 32576761 33457214 34999299 35790951 35945226 36758274 39337802 40226881 41314094 41884407 41936097 43016418 43826426 45662946 46035114 46073727 50185821 50577174 50873298 53387017 53707633 54118346 54443354 55137411 55892718 56348262 59006703 59815014 61971141 64764578 65153522 65739639 66319993 68494419 69052671 69998598 71581902 73887409 76309947 79366549 80453762 81177519 81665031 83768814 83872194 88422637 89722521 92147454 97146867 97730283 100371642 103964191 106774034 107372853 107415266 110274822 118013406 120680643 123942282 125808291 131479278 132639986 136988838 138105342 144599329 145777861 147774818 150557463 152619894 158733098 160161051 161122899 162355038 163330062 176845274 177020109 179445042 185913423 189414211 194293734 195460566 197218917 198959979 207928382 214745706 221662227 226676023 238099647 241361286 243532557 244995093 251616582 265267911 281588167 283883203 289198658 291440601 291555722 293190849 301114926 311892573 320322102 322245798 354040218 362041929 371826846 373709119 378828422 394437834 397919958 433797987 437333583 443324454 453352046 464239951 476199294 480483153 483368697 487065114 489990186 517211863 530535822 555565843 563176334 567766406 568242633 582881202 586381698 596879937 618958459 623785146 664986681 680028069 714298941 724083858 727749337 747418238 764310739 795803733 844764501 851649609 867595974 874667166 928479902 935677719 960966306 966737394 1020445027 1034423726 1111131686 1121127357 1136485266 1193759874 1237916918 1260079867 1301393961 1312000749 1329973362 1360056138 1392719853 1428597882 1455498674 1507964431 1528621478 1551635589 1591607466 1666697529 1689529002 1703299218 1704727899 1856875377 1871355438 1975319629 1987182421 2040084207 2040890054 2183248011 2242254714 2292932217 2453839741 2520159734 2534293503 2554948827 2602787922 2624001498 2785439706 2936562313 3015928862 3061335081 3103271178 3333395058 3363382071 3409455798 3713750754 3780239601 3950639258 3974364842 4080168414 4178159559 4366496022 4523893293 4585864434 4654906767 4841359489 4907679482 5000092587 5068587006 5109897654 5350175173 5393780857 5570626131 5873124626 5925958887 5961547263 6122670162 6549744033 6726764142 6878796651 7361519223 7560479202 8356319118 8809686939 8820559069 9047786586 9184005243 9309813534 9682718978 10000185174 10555751017 10700350346 10787561714 11141252262 11340718803 11851917774 11923094526 13099488066 13571679879 13757593302 13827237403 14524078467 14723038446 16050525519 16181342571 17176878187 17619373878 17641118138 17777876661 17884641789 18368010486 20555936191 21111502034 22084557669 22681437606 26429060817 26461677207 27143359758 27654474806 29048156934 31667253051 32101051038 32362685142 33889516423 34353756374 35555753322 35769283578 37756465999 41111872382 41481712209 43572235401 44169115338 46622955079 48151576557 48544027713 51530634561 52858121634 52923354414 55794683947 61667808573 63334506102 67779032846 75512931998 79385031621 82963424418 87144470802 91985830291 93245910158 95001759153 96303153114 97088055426 101668549269 103061269122 111589367894 113269397997 123335617146 124445136627 139868865237 154591903683 158770063242 167384051841 179130301093 183971660582 185003425719 190003518306 203337098538 226538795994 248890273254 275957490873 279737730474 305005647807 309183807366 326360685553 334768103682 339808193991 358260602186 370006851438 390562787629 419606595711 502152155523 537390903279 551914981746 610011295614 643900812037 652721371106 679616387982 781125575258 827872472619 839213191422 979082056659 1004304311046 1074781806558 1171688362887 1253912107651 1287801624074 1612172709837 1655744945238 1931702436111 1958164113318 2343376725774 2507824215302 2937246169977 3224345419674 3403475720767 3515065088661 3761736322953 3863404872222 5795107308333 5874492339954 6806951441534 7030130177322 7523472645906 10210427162301 11285208968859 11590214616666 20420854324602 22570417937718 23824330045369 30631281486903 47648660090738 61262562973806 71472990136107 142945980272214 214418970408321 428837940816642
- Sum of all divisors σ(n): 1185348174766080
- Sum of proper divisors (its aliquot sum) s(n): 756510233949438
- 428837940816642 is an abundant number, because the sum of its proper divisors (756510233949438) is greater than itself. Its abundance is 327672293132796
Bases of 428837940816642
- Binary: 11000011000000110100111010010000011101011000000102
- Hexadecimal: 0x186069D20EB02
- Base-36: 480DFHP0CI
Squares and roots of 428837940816642
- 428837940816642 squared (4288379408166422) is 183901979483857746661864156164
- 428837940816642 cubed (4288379408166423) is 78864146193961899661172259238646130378081288
-
The
square root of 428837940816642 is 20708402.6621234599 -
The
cube root of 428837940816642 is 75410.3692475505
Scales and comparisons
How big is 428837940816642?- 428,837,940,816,642 seconds is equal to 13,635,720 years, 1 week, 5 days, 18 hours, 50 minutes, 42 seconds.
-
To count from 1 to 428,837,940,816,642 would take you about thirty-four million, eighty-nine thousand, three hundred 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 428837940816642 cubic inches would be around 6284.2 feet tall.
Recreational maths with 428837940816642
- 428837940816642 backwards is 246618049738824
- The number of decimal digits it has is: 15
- The sum of 428837940816642's digits is 72
- More coming soon!
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The information we have on file for 428837940816642 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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