42678474516658656
42,678,474,516,658,656 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42678474516658656 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42678474516658656 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42678474516658656:
25 × 33 × 13 × 233 × 757 × 1103 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 233 × 757 × 1103 × 19531)See below for interesting mathematical facts about the number 42678474516658656 from the Numbermatics database.
Names of 42678474516658656
- Cardinal: 42678474516658656 can be written as Forty-two quadrillion, six hundred seventy-eight trillion, four hundred seventy-four billion, five hundred sixteen million, six hundred fifty-eight thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 4.2678474516658656 × 1016
Factors of 42678474516658656
Divisors of 42678474516658656
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 233 234 288 312 351 416 432 466 468 624 699 702 757 864 932 936 1103 1248 1398 1404 1514 1864 1872 2097 2206 2271 2796 2808 3028 3029 3309 3728 3744 4194 4412 4542 5592 5616 6056 6058 6291 6618 6813 7456 8388 8824 9084 9087 9841 9927 11184 11232 12112 12116 12582 13236 13626 14339 16776 17648 18168 18174 19531 19682 19854 20439 22368 24224 24232 25164 26472 27252 27261 28678 29523 29781 33552 35296 36336 36348 39062 39364 39708 40878 43017 48464 50328 52944 54504 54522 57356 58593 59046 59562 67104 72672 72696 78124 78728 79416 81756 81783 86034 88569 96928 100656 105888 109008 109044 114712 117186 118092 119124 129051 145392 156248 157456 158832 163512 163566 172068 175779 176381 177138 201312 218016 218088 229424 234372 236184 238248 253903 256999 258102 265707 290784 312496 314912 317664 327024 327132 344136 351558 352762 354276 387153 436176 458848 468744 472368 476496 507806 513998 516204 527337 529143 531414 624992 654048 654264 688272 703116 705524 708552 761709 770997 774306 834971 872352 937488 944736 952992 1015612 1027996 1032408 1054674 1058286 1062828 1308528 1376544 1406232 1411048 1417104 1523418 1541994 1548612 1587429 1669942 1874976 2031224 2055992 2064816 2109348 2116572 2125656 2285127 2292953 2312991 2504913 2617056 2812464 2822096 2834208 3046836 3083988 3097224 3174858 3339884 3340987 4062448 4111984 4129632 4218696 4233144 4251312 4550723 4570254 4585906 4625982 4762287 5009826 5624928 5644192 6093672 6167976 6194448 6349716 6679768 6681974 6855381 6878859 6938973 7514739 8124896 8223968 8437392 8466288 8502624 9101446 9140508 9171812 9251964 9524574 10019652 10022961 10854623 12187344 12335952 12388896 12699432 13359536 13363948 13652169 13710762 13757718 13877946 14784967 15029478 16874784 16932576 18202892 18281016 18343624 18503928 19049148 20039304 20045922 20636577 21542693 21709246 22544217 24374688 24671904 25398864 26719072 26727896 27304338 27421524 27515436 27755892 29569934 30058956 30068883 32563869 36405784 36562032 36687248 37007856 38098296 40078608 40091844 40956507 41273154 43085386 43418492 44354901 45088434 50797728 53455792 54608676 54843048 55030872 55511784 59139868 59159399 60117912 60137766 61909731 64628079 65127738 72811568 73124064 73374496 74015712 76196592 80157216 80183688 81913014 82546308 86170772 86836984 88709802 90176868 90206649 97691607 106911584 109217352 109686096 110061744 111023568 118279736 118318798 120235824 120275532 122869521 123819462 129256158 130255476 133064703 145623136 152393184 160367376 163826028 165092616 172341544 173673968 177419604 177478197 180353736 180413298 192204571 193884237 194548243 195383214 218434704 219372192 220123488 222047136 236559472 236637596 240471648 240551064 245739042 247638924 258512316 260510952 266129406 280055009 293074821 320734752 327652056 330185232 344683088 347347936 354839208 354956394 360707472 360826596 384409142 387768474 389096486 390766428 399194109 436869408 473118944 473275192 481102128 491478084 495277848 517024632 521021904 532258812 532434591 560110018 576613713 581652711 583644729 586149642 655304112 660370464 689366176 709678416 709912788 721414944 721653192 768818284 775536948 778192972 781532856 798388218 840165027 946550384 962204256 982956168 990555696 1034049264 1042043808 1064517624 1064869182 1120220036 1153227426 1163305422 1167289458 1172299284 1310608224 1419356832 1419825576 1443306384 1537636568 1551073896 1556385944 1563065712 1596776436 1597303773 1680330054 1729841139 1750934187 1893100768 1965912336 1981111392 2068098528 2129035248 2129738364 2240440072 2306454852 2326610844 2334578916 2344598568 2520495081 2529127159 2839651152 2886612768 3075273136 3102147792 3112771888 3126131424 3193552872 3194607546 3360660108 3444897311 3459682278 3501868374 3931824672 4258070496 4259476728 4480880144 4612909704 4653221688 4669157832 4689197136 5019447469 5040990162 5058254318 5189523417 5252802561 5679302304 6150546272 6204295584 6225543776 6387105744 6389215092 6721320216 6889794622 6919364556 7003736748 7561485243 7587381477 8518953456 8961760288 9225819408 9306443376 9338315664 9378394272 10038894938 10081980324 10116508636 10334691933 10379046834 10505605122 12774211488 12778430184 13442640432 13779589244 13838729112 14007473496 15058342407 15122970486 15174762954 16307818601 17037906912 18451638816 18612886752 18676631328 20077789876 20163960648 20233017272 20669383866 20758093668 21011210244 22762144431 25556860368 26885280864 27559178488 27677458224 28014946992 30116684814 30245940972 30349525908 31004075799 32615637202 40155579752 40327921296 40466034544 41338767732 41516187336 42022420488 44783665043 45175027221 45524288862 48923455803 51113720736 55118356976 55354916448 56029893984 60233369628 60491881944 60699051816 62008151598 65231274404 65252817097 68286433293 80311159504 80655842592 80932069088 82677535464 83032374672 84044840976 89567330086 90350054442 91048577724 93012227397 97846911606 110236713952 120466739256 120983763888 121398103632 124016303196 130462548808 130505634194 134350995129 135525081663 136572866586 146770367409 160622319008 165355070928 166064749344 168089681952 179134660172 180700108884 182097155448 186024454794 195693823212 195758451291 212001641813 240933478512 241967527776 242796207264 248032606392 260925097616 261011268388 268701990258 271050163326 273145733172 293540734818 330710141856 358269320344 361400217768 364194310896 372048909588 391387646424 391516902582 403052985387 424003283626 440311102227 481866957024 496065212784 521850195232 522022536776 537403980516 542100326652 546291466344 587081469636 587275353873 636004925439 716538640688 722800435536 728388621792 744097819176 782775292848 783033805164 806105970774 848006567252 880622204454 992130425568 1044045073552 1074807961032 1084200653304 1092582932688 1174162939272 1174550707746 1209158956161 1272009850878 1433077281376 1445600871072 1488195638352 1565550585696 1566067610328 1612211941548 1696013134504 1761244408908 1761826061619 1908014776317 2088090147104 2149615922064 2168401306608 2185165865376 2348325878544 2349101415492 2418317912322 2544019701756 2976391276704 3132135220656 3224423883096 3392026269008 3522488817816 3523652123238 3799721734033 3816029552634 4299231844128 4336802613216 4696651757088 4698202830984 4836635824644 5088039403512 5724044328951 6264270441312 6448847766192 6784052538016 7044977635632 7047304246476 7599443468066 7632059105268 9396405661968 9673271649288 10176078807024 11399165202099 11448088657902 12897695532384 14089955271264 14094608492952 15198886936132 15264118210536 18792811323936 19346543298576 20352157614048 22798330404198 22896177315804 28189216985904 30397773872264 30528236421072 34197495606297 38693086597152 45596660808396 45792354631608 49396382542429 56378433971808 60795547744528 61056472842144 68394991212594 91193321616792 91584709263216 98792765084858 102592486818891 121591095489056 136789982425188 148189147627287 182386643233584 183169418526432 197585530169716 205184973637782 273579964850376 296378295254574 364773286467168 395171060339432 410369947275564 444567442881861 547159929700752 592756590509148 790342120678864 820739894551128 889134885763722 1094319859401504 1185513181018296 1333702328645583 1580684241357728 1641479789102256 1778269771527444 2371026362036592 2667404657291166 3282959578204512 3556539543054888 4742052724073184 5334809314582332 7113079086109776 10669618629164664 14226158172219552 21339237258329328 42678474516658656
- Sum of all divisors σ(n): 134936496062484480
- Sum of proper divisors (its aliquot sum) s(n): 92258021545825824
- 42678474516658656 is an abundant number, because the sum of its proper divisors (92258021545825824) is greater than itself. Its abundance is 49579547029167168
Bases of 42678474516658656
- Binary: 100101111001111111011000101100010001111011111001111000002
- Hexadecimal: 0x979FD8B11EF9E0
- Base-36: BO898IXNSO0
Squares and roots of 42678474516658656
- 42678474516658656 squared (426784745166586562) is 1821452187069082300878054819726336
- 42678474516658656 cubed (426784745166586563) is 77736800749140004121256880519308541145395045564416
-
The
square root of 42678474516658656 is 206587692.0744763439 -
The
cube root of 42678474516658656 is 349464.4176309985
Scales and comparisons
How big is 42678474516658656?- 42,678,474,516,658,656 seconds is equal to 1,357,043,476 years, 22 weeks, 6 days, 6 hours, 57 minutes, 36 seconds.
-
To count from 1 to 42,678,474,516,658,656 would take you about four billion, seventy-one million, one hundred thirty thousand, four hundred 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 42678474516658656 cubic inches would be around 29122 feet tall.
Recreational maths with 42678474516658656
- 42678474516658656 backwards is 65685661547487624
- The number of decimal digits it has is: 17
- The sum of 42678474516658656's digits is 90
- 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 42678474516658656 - Facts about the integer". Numbermatics.com. 2024. Web. 11 November 2024.
APA style:
Numbermatics. (2024). Number 42678474516658656 - Facts about the integer. Retrieved 11 November 2024, from https://numbermatics.com/n/42678474516658656/
Chicago style:
Numbermatics. 2024. "Number 42678474516658656 - Facts about the integer". https://numbermatics.com/n/42678474516658656/
The information we have on file for 42678474516658656 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 42678474516658656, math, Factors of 42678474516658656, curriculum, school, college, exams, university, Prime factorization of 42678474516658656, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred seventy-eight trillion, four hundred seventy-four billion, five hundred sixteen million, six hundred fifty-eight thousand, six hundred fifty-six.