42427434025984
42,427,434,025,984 is an even composite number composed of six prime numbers multiplied together.
42427434025984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 42427434025984:
210 × 7 × 232 × 31 × 612 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 23 × 31 × 61 × 61 × 97)See below for interesting mathematical facts about the number 42427434025984 from the Numbermatics database.
Names of 42427434025984
- Cardinal: 42427434025984 can be written as Forty-two trillion, four hundred twenty-seven billion, four hundred thirty-four million, twenty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2427434025984 × 1013
Factors of 42427434025984
Divisors of 42427434025984
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 31 32 46 56 61 62 64 92 97 112 122 124 128 161 184 194 217 224 244 248 256 322 368 388 427 434 448 488 496 512 529 644 679 713 736 776 854 868 896 976 992 1024 1058 1288 1358 1403 1426 1472 1552 1708 1736 1792 1891 1952 1984 2116 2231 2576 2716 2806 2852 2944 3007 3104 3416 3472 3584 3703 3721 3782 3904 3968 4232 4462 4991 5152 5432 5612 5704 5888 5917 6014 6208 6832 6944 7168 7406 7442 7564 7808 7936 8464 8924 9821 9982 10304 10864 11224 11408 11776 11834 12028 12416 13237 13664 13888 14812 14884 15128 15616 15617 15872 16399 16928 17848 19642 19964 20608 21049 21728 22448 22816 23552 23668 24056 24832 26047 26474 27328 27776 29624 29768 30256 31232 31234 31744 32269 32798 33856 35696 39284 39928 41216 41419 42098 43456 43493 44896 45632 47336 48112 49664 51313 52094 52948 54656 55552 59248 59536 60512 62464 62468 64538 65596 67712 69161 71392 78568 79856 82432 82838 84196 85583 86912 86986 89792 91264 94672 96224 99328 102626 104188 105896 109312 111104 114793 115351 118496 119072 121024 124936 129076 131192 135424 136091 138322 142784 157136 159712 164864 165676 168392 171166 173824 173972 179584 182528 183427 189344 192448 205252 208376 211792 218624 222208 225883 229586 230702 236992 238144 242048 249872 258152 262384 270848 272182 276644 285568 304451 314272 319424 331352 336784 342332 347648 347944 359168 359191 360937 365056 366854 378688 384896 410504 416752 423584 437248 451766 459172 461404 473984 476288 484096 484127 499744 516304 524768 541696 544364 553288 571136 599081 608902 628544 638848 662704 673568 684664 695296 695888 718336 718382 721874 730112 733708 757376 769792 807457 821008 833504 847168 903532 918344 922808 947968 952576 952637 968192 968254 999488 1000339 1032608 1049536 1088728 1106576 1142272 1198162 1217804 1257088 1277696 1283989 1325408 1347136 1369328 1391776 1436672 1436764 1443748 1467416 1514752 1539584 1590703 1614914 1642016 1667008 1694336 1807064 1836688 1845616 1895936 1905152 1905274 1936384 1936508 1968409 1998976 2000678 2065216 2099072 2177456 2213152 2284544 2396324 2435608 2514176 2526559 2555392 2567978 2650816 2653073 2694272 2738656 2783552 2873528 2887496 2934832 3029504 3079168 3130093 3181406 3229828 3284032 3334016 3388672 3614128 3673376 3691232 3791872 3810304 3810548 3873016 3936818 3997952 4001356 4130432 4198144 4218821 4354912 4426304 4792648 4871216 5028352 5053118 5110784 5135956 5301632 5306146 5388544 5477312 5567104 5747056 5774992 5869664 6059008 6260186 6362812 6459656 6568064 6668032 6777344 7002373 7228256 7346752 7382464 7621096 7746032 7873636 7995904 8002712 8260864 8301551 8396288 8437642 8709824 8852608 9585296 9742432 10056704 10106236 10271912 10603264 10612292 10777088 10954624 11134208 11134921 11189047 11494112 11549984 11739328 12520372 12725624 12919312 13136128 13336064 13554688 13778863 14004746 14456512 14693504 14764928 15242192 15492064 15747272 15991808 16005424 16521728 16603102 16792576 16875284 17419648 17705216 18571511 19170592 19484864 20212472 20543824 21206528 21224584 21554176 21909248 21910651 22268416 22269842 22378094 22988224 23099968 23478656 25040744 25451248 25838624 26272256 26672128 27557726 28009492 28913024 29387008 29529856 29531747 30484384 30984128 31494544 32010848 33043456 33206204 33750568 34839296 35410432 37143022 38341184 38969728 40424944 41087648 42413056 42449168 43818496 43821302 44536832 44539684 44756188 45976448 46199936 46957312 50081488 50902496 51677248 52544512 55115452 56018984 57826048 58110857 58774016 59059712 59063494 60968768 61020679 61968256 62989088 64021696 66412408 67501136 69678592 70820864 74286044 76682368 77939456 78323329 80849888 82175296 84898336 87636992 87642604 89079368 89512376 91952896 92399872 93914624 97032883 100162976 101804992 103354496 110230904 112037968 115652096 116221714 117548032 118119424 118126988 121937536 122041358 123936512 125978176 128043392 132824816 135002272 139357184 148572088 153364736 155878912 156646658 161699776 164350592 169796672 175285208 178158736 179024752 183905792 184799744 187829248 190935673 194065766 200325952 203609984 206708992 220461808 224075936 231304192 232443428 236253976 243875072 244082716 247873024 251956352 256086784 257348081 265649632 270004544 297144176 306729472 311757824 313293316 323399552 328701184 339593344 350570416 356317472 358049504 367811584 369599488 381871346 388131532 400651904 407219968 413417984 427144753 440923616 448151872 464886856 472507952 487750144 488165432 495746048 503912704 512173568 514696162 531299264 540009088 594288352 613458944 626586632 646799104 657402368 679186688 679230181 701140832 712634944 716099008 763742692 776263064 801303808 814439936 826835968 854289506 881847232 896303744 929773712 945015904 975500288 976330864 1007825408 1024347136 1029392324 1062598528 1080018176 1188576704 1253173264 1293598208 1314804736 1336549711 1358373376 1358460362 1402281664 1425269888 1432198016 1527485384 1552526128 1602607616 1628879872 1708579012 1763694464 1792607488 1801436567 1859547424 1890031808 1952661728 2015650816 2058784648 2125197056 2160036352 2377153408 2506346528 2587196416 2673099422 2716746752 2716920724 2804563328 2850539776 2864396032 3054970768 3105052256 3205215232 3417158024 3527388928 3585214976 3602873134 3719094848 3780063616 3905323456 4117569296 4250394112 4320072704 4754306816 5012693056 5346198844 5433841448 5609126656 5701079552 5728792064 5919005863 6109941536 6210104512 6834316048 7054777856 7170429952 7205746268 7438189696 7560127232 7810646912 8235138592 8500788224 9508613632 10025386112 10692397688 10867682896 11218253312 11402159104 11457584128 11838011726 12219883072 12420209024 13668632096 14109555712 14411492536 14876379392 15120254464 15621293824 16470277184 19017227264 20050772224 21384795376 21735365792 22436506624 23676023452 24439766144 24840418048 27337264192 28822985072 29752758784 30240508928 31242587648 32940554368 40101544448 41433041041 42769590752 43470731584 47352046904 48879532288 49680836096 54674528384 57645970144 59505517568 62485175296 65881108736 80203088896 82866082082 85539181504 86941463168 94704093808 97759064576 99361672192 109349056768 115291940288 131762217472 165732164164 171078363008 173882926336 189408187616 195518129152 218698113536 230583880576 263524434944 331464328328 342156726016 347765852672 378816375232 437396227072 461167761152 662928656656 684313452032 695531705344 757632750464 922335522304 1325857313312 1368626904064 1515265500928 1844671044608 2651714626624 3030531001856 5303429253248 6061062003712 10606858506496 21213717012992 42427434025984
- Sum of all divisors σ(n): 107434893156864
- Sum of proper divisors (its aliquot sum) s(n): 65007459130880
- 42427434025984 is an abundant number, because the sum of its proper divisors (65007459130880) is greater than itself. Its abundance is 22580025104896
Bases of 42427434025984
- Binary: 10011010010110011010000010001001000100000000002
- Hexadecimal: 0x269668224400
- Base-36: F1EW6RWN4
Squares and roots of 42427434025984
- 42427434025984 squared (424274340259842) is 1800087158029224890787168256
- 42427434025984 cubed (424274340259843) is 76373079138305973839261168790548883963904
-
The
square root of 42427434025984 is 6513634.4713212147 -
The
cube root of 42427434025984 is 34877.7870944093
Scales and comparisons
How big is 42427434025984?- 42,427,434,025,984 seconds is equal to 1,349,061 years, 8 weeks, 4 days, 4 hours, 33 minutes, 4 seconds.
-
To count from 1 to 42,427,434,025,984 would take you about three million, three hundred seventy-two thousand, six hundred fifty-two 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 42427434025984 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42427434025984
- 42427434025984 backwards is 48952043472424
- The number of decimal digits it has is: 14
- The sum of 42427434025984's digits is 58
- More coming soon!
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The information we have on file for 42427434025984 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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