42120609718851456
42,120,609,718,851,456 is an even composite number composed of six prime numbers multiplied together.
What does the number 42120609718851456 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42120609718851456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42120609718851456:
27 × 3 × 132 × 192 × 613 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 19 × 61 × 61 × 61 × 89 × 89)See below for interesting mathematical facts about the number 42120609718851456 from the Numbermatics database.
Names of 42120609718851456
- Cardinal: 42120609718851456 can be written as Forty-two quadrillion, one hundred twenty trillion, six hundred nine billion, seven hundred eighteen million, eight hundred fifty-one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 4.2120609718851456 × 1016
Factors of 42120609718851456
Divisors of 42120609718851456
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 61 64 76 78 89 96 104 114 122 128 152 156 169 178 183 192 208 228 244 247 267 304 312 338 356 361 366 384 416 456 488 494 507 534 608 624 676 712 722 732 741 793 832 912 976 988 1014 1068 1083 1157 1159 1216 1248 1352 1424 1444 1464 1482 1586 1664 1691 1824 1952 1976 2028 2136 2166 2314 2318 2379 2432 2496 2704 2848 2888 2928 2964 3172 3211 3382 3471 3477 3648 3721 3904 3952 4056 4272 4332 4628 4636 4693 4758 4992 5073 5408 5429 5696 5776 5856 5928 6344 6422 6764 6942 6954 7296 7442 7808 7904 7921 8112 8544 8664 9256 9272 9386 9516 9633 10146 10309 10816 10858 11163 11392 11552 11712 11856 12688 12844 13528 13884 13908 14079 14884 15041 15067 15808 15842 16224 16287 17088 17328 18512 18544 18772 19032 19266 20292 20618 21632 21716 21983 22021 22326 23104 23424 23712 23763 25376 25688 27056 27768 27816 28158 29768 30082 30134 30927 31616 31684 32129 32448 32574 34176 34656 37024 37088 37544 38064 38532 40584 41236 43432 43966 44042 44652 45123 45201 46208 47424 47526 48373 50752 51376 54112 55536 55632 56316 59536 60164 60268 61009 61854 63368 64258 64896 65148 65949 66063 69312 70577 70699 74048 74176 75088 76128 77064 81168 82472 86864 87932 88084 89304 90246 90402 94848 95052 96387 96746 101504 102752 102973 103151 108224 111072 111264 112632 119072 120328 120536 122018 123708 126736 128516 130296 131898 132126 138624 141154 141398 145119 148096 148352 150176 150499 152256 154128 162336 164944 173728 175864 176168 178608 180492 180804 183027 190104 192774 193492 195871 205504 205946 206302 211731 212097 216448 222144 222528 225264 226981 238144 240656 241072 244036 247416 253472 257032 260592 263796 264252 282308 282796 285779 286273 290238 300352 300998 304512 308256 308919 309453 324672 329888 331169 347456 351728 352336 357216 360984 361608 366054 380208 385548 386984 391742 411008 411892 412604 417677 423462 424194 444288 445056 450528 451497 453962 476288 481312 482144 483181 488072 494832 506944 514064 521184 527592 528504 564616 565592 571558 572546 580476 587613 600704 601996 616512 617838 618906 628849 649344 659776 662338 680943 694912 703456 704672 714432 721968 723216 732108 760416 771096 773968 783484 823784 825208 835354 846924 848388 857337 858819 901056 902994 907924 917501 919087 962624 964288 966362 976144 989664 993507 1013888 1028128 1042368 1055184 1057008 1129232 1131184 1143116 1145092 1160952 1175226 1203992 1233024 1235676 1237812 1253031 1257698 1319552 1324676 1338649 1340963 1343281 1361886 1406912 1409344 1428864 1443936 1446432 1449543 1464216 1520832 1542192 1547936 1566968 1647568 1650416 1670708 1693848 1696776 1714674 1717638 1802112 1805988 1815848 1835002 1838174 1886547 1925248 1928576 1932724 1952288 1956487 1959869 1979328 1987014 2056256 2084736 2110368 2114016 2258464 2262368 2286232 2290184 2321904 2350452 2407984 2471352 2475624 2506062 2515396 2649352 2677298 2681926 2686562 2723772 2752503 2757261 2813824 2818688 2859481 2887872 2892864 2899086 2928432 2950753 3041664 3084384 3095872 3133936 3295136 3300832 3341416 3387696 3393552 3429348 3435276 3611976 3631696 3670004 3676348 3721549 3773094 3865448 3904576 3912974 3919738 3958656 3974028 4015947 4022889 4029843 4112512 4220736 4228032 4305197 4312639 4516928 4524736 4572464 4580368 4643808 4700904 4815968 4942704 4951248 5012124 5030792 5298704 5354596 5363852 5373124 5429801 5447544 5505006 5514522 5718962 5775744 5785728 5798172 5856864 5869461 5879607 5901506 6168768 6191744 6267872 6281353 6292211 6590272 6601664 6682832 6775392 6787104 6858696 6870552 7223952 7263392 7340008 7352696 7443098 7546188 7730896 7809152 7825948 7839476 7948056 8031894 8045778 8059686 8441472 8456064 8578443 8610394 8625278 8852259 9033856 9049472 9144928 9160736 9180439 9287616 9401808 9631936 9885408 9902496 10024248 10061584 10597408 10709192 10727704 10746248 10859602 10895088 11010012 11029044 11164647 11437924 11596344 11713728 11738922 11759214 11803012 11948131 12337536 12535744 12562706 12584422 12915591 12937917 13180544 13203328 13365664 13550784 13574208 13717392 13741104 14447904 14526784 14680016 14705392 14886196 15092376 15461792 15651896 15678952 15896112 16063788 16091556 16119372 16289403 17156886 17220788 17250556 17432519 17462653 17704518 18289856 18321472 18360878 18575232 18803616 18844059 18876633 19263872 19770816 19804992 20048496 20123168 20201309 21194816 21418384 21455408 21492496 21719204 21790176 22020024 22058088 22329294 22875848 23192688 23427456 23477844 23518428 23606024 23896262 25071488 25125412 25168844 25434331 25478297 25831182 25875834 26731328 27101568 27148416 27434784 27482208 27541317 28895808 29053568 29360032 29410784 29474041 29772392 30184752 30923584 31303792 31357904 31792224 32127576 32183112 32238744 32578806 34313772 34441576 34501112 34865038 34925306 35409036 35844393 36579712 36642944 36721756 37173253 37607232 37688118 37753266 38359789 39541632 39609984 40096992 40246336 40402618 42389632 42836768 42910816 42984992 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5192382854888 5317587390336 5329024508964 5394545302107 5659850808768 5773109884711 6057033321664 6067503560768 6227174707104 6558799395648 6639440371824 7105366011952 7192727069476 7292349328056 7394769964686 7758447176064 7788574282332 8302899609472 8437622139193 8852587162432 8975199172992 9085549982496 9101255341152 9723132437408 9859693286248 10384765709776 10658049017928 10789090604214 11319701617536 11546219769422 12114066643328 12135007121536 12454349414208 13117598791296 13278880743648 14210732023904 14385454138952 14584698656112 14789539929372 15577148564664 16875244278386 17319329654133 17705174324864 18171099964992 18202510682304 19446264874816 19719386572496 20769531419552 21316098035856 21578181208428 23092439538844 24908698828416 25312866417579 26557761487296 28421464047808 28770908277904 29169397312224 29579079858744 31154297129328 33750488556772 34638659308266 36342199929984 36405021364608 38892529749632 39438773144992 41539062839104 42632196071712 43156362416856 46184879077688 50625732835158 53115522974592 56842928095616 57541816555808 58338794624448 59158159717488 62308594258656 67500977113544 69277318616532 78877546289984 83078125678208 85264392143424 86312724833712 92369758155376 101251465670316 109689087809509 115083633111616 116677589248896 118316319434976 124617188517312 135001954227088 138554637233064 157755092579968 170528784286848 172625449667424 184739516310752 202502931340632 219378175619018 230167266223232 236632638869952 249234377034624 270003908454176 277109274466128 329067263428527 345250899334848 369479032621504 405005862681264 438756351238036 473265277739904 540007816908352 554218548932256 658134526857054 690501798669696 738958065243008 810011725362528 877512702476072 1080015633816704 1108437097864512 1316269053714108 1620023450725056 1755025404952144 2216874195729024 2632538107428216 3240046901450112 3510050809904288 5265076214856432 7020101619808576 10530152429712864 14040203239617152 21060304859425728 42120609718851456
- Sum of all divisors σ(n): 131471321160453840
- Sum of proper divisors (its aliquot sum) s(n): 89350711441602384
- 42120609718851456 is an abundant number, because the sum of its proper divisors (89350711441602384) is greater than itself. Its abundance is 47230101722750928
Bases of 42120609718851456
- Binary: 100101011010010001111000101011000000001111010111100000002
- Hexadecimal: 0x95A478AC03D780
- Base-36: BIQICZ4OSQO
Squares and roots of 42120609718851456
- 42120609718851456 squared (421206097188514562) is 1774145763087803731260823793319936
- 42120609718851456 cubed (421206097188514563) is 74728101271375278585077004075401735748503067426816
-
The
square root of 42120609718851456 is 205233061.9536030213 -
The
cube root of 42120609718851456 is 347935.0787171965
Scales and comparisons
How big is 42120609718851456?- 42,120,609,718,851,456 seconds is equal to 1,339,305,101 years, 23 weeks, 6 days, 3 hours, 37 minutes, 36 seconds.
-
To count from 1 to 42,120,609,718,851,456 would take you about four billion, seventeen million, nine hundred fifteen thousand, three hundred four 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 42120609718851456 cubic inches would be around 28994.6 feet tall.
Recreational maths with 42120609718851456
- 42120609718851456 backwards is 65415881790602124
- The number of decimal digits it has is: 17
- The sum of 42120609718851456's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 42120609718851456 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 42120609718851456 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/42120609718851456/
Chicago style:
Numbermatics. 2024. "Number 42120609718851456 - Facts about the integer". https://numbermatics.com/n/42120609718851456/
The information we have on file for 42120609718851456 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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