42684957429156640
42,684,957,429,156,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 42684957429156640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
42684957429156640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42684957429156640:
25 × 5 × 132 × 172 × 109 × 70792
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 17 × 109 × 7079 × 7079)See below for interesting mathematical facts about the number 42684957429156640 from the Numbermatics database.
Names of 42684957429156640
- Cardinal: 42684957429156640 can be written as Forty-two quadrillion, six hundred eighty-four trillion, nine hundred fifty-seven billion, four hundred twenty-nine million, one hundred fifty-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.268495742915664 × 1016
Factors of 42684957429156640
Divisors of 42684957429156640
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 109 130 136 160 169 170 208 218 221 260 272 289 338 340 416 436 442 520 544 545 578 676 680 845 872 884 1040 1090 1105 1156 1352 1360 1417 1445 1690 1744 1768 1853 2080 2180 2210 2312 2704 2720 2834 2873 2890 3380 3488 3536 3706 3757 4360 4420 4624 5408 5668 5746 5780 6760 7072 7079 7085 7412 7514 8720 8840 9248 9265 11336 11492 11560 13520 14158 14170 14365 14824 15028 17440 17680 18421 18530 18785 22672 22984 23120 24089 27040 28316 28340 28730 29648 30056 31501 35360 35395 36842 37060 37570 45344 45968 46240 48178 48841 56632 56680 57460 59296 60112 63002 70790 73684 74120 75140 91936 92027 92105 96356 97682 113264 113360 114920 120224 120343 120445 126004 141580 147368 148240 150280 157505 184054 184210 192712 195364 226528 226720 229840 240686 240890 244205 252008 283160 294736 296480 300560 313157 315010 368108 368420 385424 390728 409513 459680 460135 481372 481780 488410 504016 566320 589472 601120 601715 626314 630020 736216 736840 770848 771611 781456 819026 920270 962744 963560 976820 1008032 1132640 1196351 1203430 1252628 1260040 1472432 1473680 1543222 1562912 1564459 1565785 1638052 1840540 1925488 1927120 1953640 2045831 2047565 2392702 2406860 2505256 2520080 2944864 2947360 3086444 3128918 3131570 3276104 3681080 3850976 3854240 3858055 3907280 4091662 4095130 4785404 4813720 5010512 5040160 5323669 5981755 6172888 6257836 6263140 6552208 7362160 7716110 7814560 7822295 8183324 8190260 9570808 9627440 10021024 10030943 10229155 10647338 11963510 12345776 12515672 12526280 13104416 13117387 14724320 15432220 15644590 16366648 16380520 19141616 19254880 20061886 20337967 20458310 21294676 23927020 24691552 25031344 25052560 26234774 26595803 26618345 30864440 31289180 32733296 32761040 38283232 40123772 40675934 40916620 42589352 47854040 50062688 50105120 50112241 50154715 52469548 53191606 53236690 61728880 62578360 65466592 65522080 65586935 80247544 81351868 81833240 85178704 95708080 100224482 100309430 101689835 104939096 106383212 106473380 123457760 125156720 130402259 131173870 132979015 160495088 162703736 163666480 170357408 170526031 191416160 200448964 200618860 203379670 209878192 212766424 212946760 222995579 250313440 250561205 260804518 262347740 265958030 320990176 325407472 327332960 341052062 345745439 400897928 401237720 406759340 419756384 425532848 425893520 445991158 501122410 521609036 524695480 531916060 650814944 651459133 652011295 682104124 691490878 801795856 802475440 813518680 851065696 851787040 851908097 852630155 891982316 1002244820 1043218072 1049390960 1063832120 1114977895 1302918266 1304022590 1364208248 1382981756 1603591712 1604950880 1627037360 1703816194 1705260310 1728727195 1783964632 2004489640 2086436144 2098781920 2127664240 2216838403 2229955790 2605836532 2608045180 2728416496 2765963512 2898942527 3254074720 3257295665 3407632388 3410520620 3457454390 3567929264 4008979280 4172872288 4255328480 4259540485 4433676806 4459911580 5211673064 5216090360 5456832992 5462234269 5531927024 5797885054 6514591330 6815264776 6821041240 6914908780 7135858528 8017958560 8468968729 8519080970 8867353612 8919823160 10423346128 10432180720 10924468538 11063854048 11074805261 11084192015 11595770108 13029182660 13630529552 13642082480 13829817560 14482437649 14494712635 16937937458 17038161940 17734707224 17839646320 20846692256 20864361440 21848937076 22149610522 22168384030 23191540216 26058365320 27261059104 27284164960 27311171345 27659635120 28964875298 28989425270 33875874916 34076323880 35469414448 35679292640 37686252851 42344843645 43697874152 44299221044 44336768060 46383080432 52116730640 54622342690 55319270240 55374026305 57929750596 57978850540 67751749832 68152647760 70938828896 71009045497 72412188245 75372505702 84689687290 87395748304 88598442088 88673536120 92766160864 92857982573 104233461280 109244685380 110748052610 115859501192 115957701080 135503499664 136305295520 142018090994 143972468393 144824376490 150745011404 169379374580 174791496608 177196884176 177347072240 185715965146 188271689437 188431264255 218489370760 221496105220 231719002384 231915402160 271006999328 284036181988 287944936786 289648752980 301490022808 338758749160 354393768352 354694144480 355045227485 371431930292 376543378874 376862528510 436978741520 442992210440 463438004768 463830804320 464289912865 568072363976 575889873572 579297505960 602980045616 677517498320 710090454970 719862341965 742863860584 753086757748 753725057020 873957483040 885984420880 923117591461 928579825730 941358447185 1136144727952 1151779747144 1158595011920 1205960091232 1207153773449 1355034996640 1420180909940 1439724683930 1485727721168 1506173515496 1507450114040 1578585703741 1771968841760 1846235182922 1857159651460 1882716894370 2272289455904 2303559494288 2317190023840 2414307546898 2447531962681 2840361819880 2879449367860 2971455442336 3012347030992 3014900228080 3157171407482 3692470365844 3714319302920 3765433788740 4607118988576 4615587957305 4828615093796 4895063925362 5680723639760 5758898735720 6024694061984 6029800456160 6035768867245 6314342814964 7384940731688 7428638605840 7530867577480 7892928518705 9231175914610 9657230187592 9790127850724 11361447279520 11517797471440 12071537734490 12237659813405 12628685629928 14769881463376 14857277211680 15061735154960 15692999054837 15785857037410 18462351829220 19314460375184 19580255701448 20521614148633 23035594942880 24143075468980 24475319626810 25257371259856 29539762926752 30123470309920 31385998109674 31571714074820 36924703658440 38628920750368 39160511402896 41043228297266 48286150937960 48950639253620 50514742519712 62771996219348 63143428149640 73849407316880 78321022805792 78464995274185 82086456594532 96572301875920 97901278507240 102608070743165 125543992438696 126286856299280 147698814633760 156929990548370 164172913189064 193144603751840 195802557014480 205216141486330 251087984877392 252573712598560 266780983932229 313859981096740 328345826378128 391605114028960 410432282972660 502175969754784 533561967864458 627719962193480 656691652756256 820864565945320 1067123935728916 1255439924386960 1333904919661145 1641729131890640 2134247871457832 2510879848773920 2667809839322290 3283458263781280 4268495742915664 5335619678644580 8536991485831328 10671239357289160 21342478714578320 42684957429156640
- Sum of all divisors σ(n): 117079033569539580
- Sum of proper divisors (its aliquot sum) s(n): 74394076140382940
- 42684957429156640 is an abundant number, because the sum of its proper divisors (74394076140382940) is greater than itself. Its abundance is 31709118711226300
Bases of 42684957429156640
- Binary: 100101111010010110111110000111001101000101001011001000002
- Hexadecimal: 0x97A5BE1CD14B20
- Base-36: BOAJYQGDMHS
Squares and roots of 42684957429156640
- 42684957429156640 squared (426849574291566402) is 1822005590728914633504381656089600
- 42684957429156640 cubed (426849574291566403) is 77772231075949117166241445263345220952248274944000
-
The
square root of 42684957429156640 is 206603381.9402689255 -
The
cube root of 42684957429156640 is 349482.1114259999
Scales and comparisons
How big is 42684957429156640?- 42,684,957,429,156,640 seconds is equal to 1,357,249,613 years, 1 day, 18 hours, 10 minutes, 40 seconds.
-
To count from 1 to 42,684,957,429,156,640 would take you about four billion, seventy-one million, seven hundred forty-eight thousand, eight 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 42684957429156640 cubic inches would be around 29123.5 feet tall.
Recreational maths with 42684957429156640
- 42684957429156640 backwards is 04665192475948624
- The number of decimal digits it has is: 17
- The sum of 42684957429156640's digits is 82
- More coming soon!
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The information we have on file for 42684957429156640 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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