428149979074830672
428,149,979,074,830,672 is an even composite number composed of five prime numbers multiplied together.
428149979074830672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 428149979074830672:
24 × 33 × 112 × 195 × 1493
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 19 × 19 × 19 × 19 × 19 × 149 × 149 × 149)See below for interesting mathematical facts about the number 428149979074830672 from the Numbermatics database.
Names of 428149979074830672
- Cardinal: 428149979074830672 can be written as Four hundred twenty-eight quadrillion, one hundred forty-nine trillion, nine hundred seventy-nine billion, seventy-four million, eight hundred thirty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.28149979074830672 × 1017
Factors of 428149979074830672
Divisors of 428149979074830672
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 121 132 144 149 152 171 176 198 209 216 228 242 264 297 298 304 342 361 363 396 418 432 447 456 484 513 528 594 596 627 684 722 726 792 836 894 912 968 1026 1083 1089 1188 1192 1254 1341 1368 1444 1452 1584 1639 1672 1788 1881 1936 2052 2166 2178 2299 2376 2384 2508 2682 2736 2831 2888 2904 3249 3267 3278 3344 3576 3762 3971 4023 4104 4332 4356 4598 4752 4917 5016 5364 5643 5662 5776 5808 6498 6534 6556 6859 6897 7152 7524 7942 8046 8208 8493 8664 8712 9196 9747 9834 10032 10728 11286 11324 11913 12996 13068 13112 13718 13794 14751 15048 15884 16092 16986 17328 17424 18029 18392 19494 19668 20577 20691 21456 22201 22572 22648 23826 25479 25992 26136 26224 27436 27588 29502 30096 31141 31768 32184 33972 35739 36058 36784 38988 39336 41154 41382 43681 44253 44402 45144 45296 47652 50958 51984 52272 53789 54087 54872 55176 59004 61731 62073 62282 63536 64368 66603 67944 71478 72116 75449 76437 77976 78672 82308 82764 87362 88506 88804 90288 93423 95304 101916 107217 107578 108174 109744 110352 118008 123462 124146 124564 130321 131043 133206 135888 142956 144232 150898 152874 155952 161367 162261 164616 165528 174724 177012 177608 185193 186846 190608 199809 203832 214434 215156 216348 226347 236016 244211 246924 248292 249128 260642 262086 266412 280269 285912 288464 301796 305748 322734 324522 329232 331056 342551 349448 354024 355216 370386 373692 390963 393129 399618 407664 421819 428868 430312 432696 452694 484101 486783 488422 493848 496584 498256 521284 524172 532824 560538 571824 591679 599427 603592 611496 645468 649044 679041 685102 698896 708048 732633 740772 747384 781926 786258 799236 829939 840807 843638 857736 860624 865392 905388 968202 973566 976844 987696 993168 1021991 1027653 1042568 1048344 1065648 1121076 1172889 1179387 1183358 1198854 1207184 1222992 1265457 1290936 1298088 1358082 1370204 1433531 1452303 1465266 1481544 1494768 1563852 1572516 1598472 1659878 1681614 1687276 1715472 1775037 1810776 1936404 1947132 1953688 2037123 2043982 2055306 2085136 2096688 2197899 2242152 2345778 2358774 2366716 2397708 2476099 2489817 2530914 2581872 2596176 2686321 2716164 2740408 2867062 2904606 2930532 2963088 3065973 3082959 3127704 3145032 3196944 3307949 3319756 3363228 3374552 3518667 3550074 3621552 3796371 3872808 3894264 3907376 4074246 4087964 4110612 4300593 4395798 4484304 4640009 4691556 4717548 4733432 4795416 4952198 4979634 5061828 5325111 5372642 5432328 5480816 5734124 5809212 5861064 6131946 6165918 6255408 6290064 6508469 6593697 6615898 6639512 6726456 6749104 7037334 7100148 7428297 7469451 7592742 7745616 7788528 8014561 8058963 8148492 8175928 8221224 8601186 8791596 9197919 9248877 9280018 9383112 9435096 9466864 9590832 9904396 9923847 9959268 10123656 10650222 10745284 10864656 11241901 11389113 11468248 11618424 11722128 12263892 12331836 12901779 13016938 13187394 13231796 13279024 13452912 13920027 14074668 14200296 14856594 14938902 15185484 15768841 15975333 16029122 16117926 16296984 16351856 16442448 17202372 17583192 18395838 18497754 18560036 18766224 18870192 19417829 19525407 19808792 19847694 19918536 20247312 21300444 21490568 22284891 22408353 22483802 22778226 22936496 23236848 24043683 24176889 24527784 24663672 25803558 26033876 26374788 26463592 27237089 27593757 27840054 28149336 28400592 29713188 29771541 29877804 30370968 31537682 31950666 32058244 32235852 32593968 33725703 34404744 35166384 36387439 36791676 36995508 37120072 38705337 38835658 39050814 39617584 39695388 39837072 41760081 42600888 42981136 44569782 44816706 44967604 45556452 47306523 48087366 48353778 49055568 49327344 51040099 51607116 52067752 52749576 52927184 54474178 55187514 55680108 56298672 58253487 58576221 59426376 59543082 59755608 60741936 62851031 63075364 63901332 64116488 64471704 66854673 67451406 68809488 72131049 72530667 72774878 73583352 73991016 74240144 77410674 77671316 78101628 79390776 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9642583196136 9675049806224 9801743986512 10346285319096 10403605459368 10884431032002 10981583540444 11639570983983 11873924762184 11979909316848 12603025405476 13303193483558 13477397981454 13748754987792 14226142313757 14512574709336 15519427978644 15605408189052 16326646548003 16381618421902 16472375310666 16804033873968 17969863975272 18904538108214 18968189751676 19285166392272 19954790225337 20692570638192 20807210918736 21768862064004 21963167080888 23279141967966 23747849524368 24572427632853 24708562965999 25206050810952 26606386967116 26954795962908 28452284627514 29025149418672 31038855957288 31210816378104 32653293096006 32763236843804 32944750621332 35939727950544 37809076216428 37936379503352 39909580450674 42678426941271 43537724128008 43926334161776 46558283935932 49144855265706 49417125931998 50412101621904 52162521817109 53212773934232 53909591925816 56904569255028 59864370676011 62077711914576 62421632756208 65306586192012 65526473687608 65889501242664 73717282898559 74125688897997 75618152432856 75872759006704 79819160901348 85356853882542 87075448256016 90098901320461 93116567871864 98289710531412 98834251863996 104325043634218 106425547868464 107819183851632 113809138510056 119728741352022 128035280823813 130613172384024 131052947375216 131779002485328 147434565797118 148251377795994 151236304865712 156487565451327 159638321802696 170713707765084 179593112028033 180197802640922 186233135743728 196579421062824 197668503727992 208650087268436 221151848695677 227618277020112 239457482704044 256070561647626 261226344768048 270296703961383 294869131594236 296502755591988 312975130902654 319276643605392 341427415530168 359186224056066 360395605281844 393158842125648 395337007455984 417300174536872 442303697391354 469462696353981 478914965408088 512141123295252 540593407922766 589738263188472 593005511183976 625950261805308 682854831060336 718372448112132 720791210563688 810890111884149 834600349073744 884607394782708 938925392707962 957829930816176 991087914525071 1024282246590504 1081186815845532 1179476526376944 1186011022367952 1251900523610616 1408388089061943 1436744896224264 1441582421127376 1621780223768298 1769214789565416 1877850785415924 1982175829050142 2048564493181008 2162373631691064 2432670335652447 2503801047221232 2816776178123886 2873489792448528 2973263743575213 3243560447536596 3538429579130832 3755701570831848 3964351658100284 4324747263382128 4865340671304894 5633552356247772 5946527487150426 6487120895073192 7511403141663696 7928703316200568 8919791230725639 9730681342609788 11267104712495544 11893054974300852 12974241790146384 15857406632401136 17839582461451278 19461362685219576 22534209424991088 23786109948601704 26759373692176917 35679164922902556 38922725370439152 47572219897203408 53518747384353834 71358329845805112 107037494768707668 142716659691610224 214074989537415336 428149979074830672
- Sum of all divisors σ(n): 1435508521418160000
- Sum of proper divisors (its aliquot sum) s(n): 1007358542343329328
- 428149979074830672 is an abundant number, because the sum of its proper divisors (1007358542343329328) is greater than itself. Its abundance is 579208563268498656
Bases of 428149979074830672
- Binary: 101111100010001100000100011001101010101100010100001010100002
- Hexadecimal: 0x5F118233558A150
- Base-36: 393QI124A7O0
Squares and roots of 428149979074830672
- 428149979074830672 squared (4281499790748306722) is 183312404581777942296311405471971584
- 428149979074830672 cubed (4281499790748306723) is 78485202185845120197619262407095324370928846795624448
-
The
square root of 428149979074830672 is 654331704.1645091127 -
The
cube root of 428149979074830672 is 753700.2205866039
Scales and comparisons
How big is 428149979074830672?- 428,149,979,074,830,672 seconds is equal to 13,613,844,979 years, 38 weeks, 3 days, 8 hours, 31 minutes, 12 seconds.
-
To count from 1 to 428,149,979,074,830,672 would take you about forty billion, eight hundred forty-one million, five hundred thirty-four thousand, nine hundred thirty-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 428149979074830672 cubic inches would be around 62808.4 feet tall.
Recreational maths with 428149979074830672
- 428149979074830672 backwards is 276038470979941824
- The number of decimal digits it has is: 18
- The sum of 428149979074830672's digits is 90
- More coming soon!
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"Number 428149979074830672 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 428149979074830672 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/428149979074830672/
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The information we have on file for 428149979074830672 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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