42427428719760
42,427,428,719,760 is an even composite number composed of seven prime numbers multiplied together.
42427428719760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42427428719760:
24 × 33 × 5 × 72 × 29 × 331 × 41761
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 331 × 41761)See below for interesting mathematical facts about the number 42427428719760 from the Numbermatics database.
Names of 42427428719760
- Cardinal: 42427428719760 can be written as Forty-two trillion, four hundred twenty-seven billion, four hundred twenty-eight million, seven hundred nineteen thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.242742871976 × 1013
Factors of 42427428719760
Divisors of 42427428719760
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 35 36 40 42 45 48 49 54 56 58 60 63 70 72 80 84 87 90 98 105 108 112 116 120 126 135 140 144 145 147 168 174 180 189 196 203 210 216 232 240 245 252 261 270 280 290 294 315 331 336 348 360 378 392 406 420 432 435 441 464 490 504 522 540 560 580 588 609 630 662 696 720 735 756 783 784 812 840 870 882 945 980 993 1008 1015 1044 1080 1160 1176 1218 1260 1305 1323 1324 1392 1421 1470 1512 1566 1624 1655 1680 1740 1764 1827 1890 1960 1986 2030 2088 2160 2205 2317 2320 2352 2436 2520 2610 2646 2648 2842 2940 2979 3024 3045 3132 3248 3310 3480 3528 3654 3780 3915 3920 3972 4060 4176 4263 4410 4634 4872 4965 5040 5220 5292 5296 5481 5684 5880 5958 6090 6264 6615 6620 6951 6960 7056 7105 7308 7560 7830 7944 8120 8526 8820 8937 9135 9268 9599 9744 9930 10440 10584 10962 11368 11585 11760 11916 12180 12528 12789 13230 13240 13902 14210 14616 14895 15120 15660 15888 16219 16240 17052 17640 17874 18270 18536 19198 19860 20853 20880 21168 21315 21924 22736 23170 23832 24360 25578 26460 26480 27405 27804 28420 28797 29232 29790 31320 32438 34104 34755 35280 35748 36540 37072 38367 38396 39720 41706 41761 42630 43848 44685 46340 47664 47995 48657 48720 51156 52920 54810 55608 56840 57594 59580 62559 62640 63945 64876 67193 68208 69510 71496 73080 76734 76792 79440 81095 83412 83522 85260 86391 87696 89370 92680 95990 97314 102312 104265 105840 109620 111216 113680 115188 119160 125118 125283 127890 129752 134386 139020 142992 143985 145971 146160 153468 153584 162190 166824 167044 170520 172782 178740 185360 191835 191980 194628 201579 204624 208530 208805 219240 230376 238320 243285 250236 250566 255780 259173 259504 268772 278040 287970 291942 292327 306936 312795 324380 333648 334088 335965 341040 345564 357480 375849 383670 383960 389256 403158 417060 417610 431955 437913 438480 460752 470351 486570 500472 501132 511560 518346 537544 556080 575940 583884 584654 604737 613872 625590 626415 648760 668176 671930 691128 714960 729855 751698 767340 767920 778512 806316 834120 835220 863910 875826 876981 940702 973140 1000944 1002264 1007895 1023120 1036692 1075088 1127547 1151880 1167768 1169308 1209474 1211069 1251180 1252830 1295865 1297520 1343860 1382256 1411053 1459710 1461635 1503396 1534680 1612632 1668240 1670440 1727820 1751652 1753962 1814211 1879245 1881404 1946280 2004528 2015790 2046289 2073384 2189565 2255094 2303760 2335536 2338616 2351755 2418948 2422138 2502360 2505660 2591730 2630943 2687720 2822106 2919420 2923270 3006792 3023685 3069360 3225264 3340880 3455640 3503304 3507924 3628422 3633207 3758490 3762808 3892560 4031580 4092578 4146768 4233159 4379130 4384905 4510188 4677232 4703510 4837896 4844276 5004720 5011320 5183460 5261886 5375440 5637735 5644212 5838840 5846540 6013584 6047370 6055345 6138867 6911280 7006608 7015848 7055265 7256844 7266414 7516980 7525616 7892829 8063160 8185156 8466318 8477483 8758260 8769810 9020376 9071055 9407020 9675792 9688552 10022640 10231445 10366920 10523772 10899621 11275470 11288424 11677680 11693080 12094740 12110690 12277734 12699477 13154715 13822891 14031696 14110530 14513688 14532828 15033960 15785658 16126320 16370312 16932636 16954966 17516520 17539620 18040752 18142110 18166035 18416601 18814040 19377104 20462890 20733840 21047544 21165795 21799242 22550940 22576848 23386160 24189480 24221380 24555468 25398954 25432449 26309430 27645782 28221060 29027376 29065656 30067920 30694335 31571316 32698863 32740624 33865272 33909932 35033040 35079240 36284220 36332070 36833202 37628080 39464145 40925780 41468673 42095088 42331590 42387415 43598484 45101880 48378960 48442760 49110936 50797908 50864898 52618860 54498105 55249803 55291564 56442120 58131312 59342381 61388670 63142632 63497385 65397726 67730544 67819864 69114455 70158480 72568440 72664140 73666404 76297347 78928290 81851560 82937346 84663180 84774830 87196968 90203760 92083005 96760237 96885520 98221872 101595816 101729796 105237720 108996210 110499606 110583128 112884240 118684762 122777340 124406019 126285264 126994770 127162245 130795452 135639728 138228910 145136880 145328280 147332808 152594694 157856580 163494315 163703120 165874692 169326360 169549660 174393936 178027143 184166010 193520474 203191632 203459592 207343365 210475440 217992420 220999212 221166256 228892041 237369524 245554680 248812038 253989540 254324490 261590904 276249015 276457820 290280711 290656560 294665616 296711905 305189388 315713160 326988630 331749384 338652720 339099320 356054286 368332020 373218057 381486735 387040948 400863839 406919184 414686730 435984840 441998424 457784082 474739048 483801185 491109360 497624076 507979080 508648980 523181808 534081429 552498030 552915640 580561422 593423810 610378776 622030095 631426320 653977260 663498768 677321659 678198640 712108572 736664040 746436114 762973470 774081896 801727678 829373460 870842133 871969680 883996848 890135715 915568164 949478096 967602370 995248152 1015958160 1017297960 1068162858 1104996060 1105831280 1144460205 1161122844 1186847620 1202591517 1220757552 1244060190 1307954520 1354643318 1424217144 1451403555 1473328080 1492872228 1525946940 1548163792 1602244287 1603455356 1658746920 1741684266 1780271430 1831136328 1866090285 1935204740 1990496304 2004319195 2031964977 2034595920 2136325716 2209992120 2288920410 2322245688 2373695240 2405183034 2488120380 2612526399 2615909040 2670407145 2709286636 2806046873 2848434288 2902807110 2985744456 3051893880 3204488574 3206910712 3317493840 3386608295 3483368532 3560542860 3607774551 3662272656 3732180570 3870409480 4008638390 4063929954 4272651432 4354210665 4419984240 4577840820 4644491376 4747390480 4810366068 4976240760 5225052798 5340814290 5418573272 5612093746 5805614220 5971488912 6012957585 6095894931 6103787760 6408977148 6413821424 6773216590 6966737064 7121085720 7215549102 7464361140 7740818960 8011221435 8017276780 8127859908 8418140619 8545302864 8708421330 9155681640 9620732136 9952481520 10159824885 10450105596 10681628580 10823323653 10837146544 11224187492 11611228440 12025915170 12191789862 12817954296 13062631995 13546433180 13933474128 14030234365 14242171440 14431098204 14928722280 16022442870 16034553560 16255719816 16836281238 17416842660 18038872755 18287684793 18311363280 19241464272 19642328111 20319649770 20900211192 21363257160 21646647306 22448374984 23222456880 24051830340 24383579724 25254421857 25635908592 26125263990 27092866360 28060468730 28862196408 29857444560 30479474655 32044885740 32069107120 32511439632 33672562476 34833685320 36077745510 36575369586 39284656222 40639299540 41800422384 42090703095 42726514320 43293294612 44896749968 48103660680 48767159448 50508843714 52250527980 54116618265 54185732720 56120937460 57724392816 58926984333 60958949310 64089771480 67345124952 69667370640 72155491020 73150739172 75763265571 78569312444 81278599080 84181406190 86586589224 91438423965 96207321360 97534318896 98211640555 101017687428 104501055960 108233236530 112241874920 117853968666 121917898620 126272109285 128179542960 134690249904 144310982040 146301478344 151526531142 157138624888 162557198160 168362812380 173173178448 176780952999 182876847930 196423281110 202035374856 209002111920 216466473060 224483749840 235707937332 243835797240 252544218570 288621964080 292602956688 294634921665 303053062284 314277249776 336725624760 353561905998 365753695860 378816327855 392846562220 404070749712 432932946120 471415874664 487671594480 505088437140 530342858997 589269843330 606106124568 673451249520 707123811996 731507391720 757632655710 785693124440 865865892240 883904764995 942831749328 1010176874280 1060685717994 1178539686660 1212212249136 1414247623992 1463014783440 1515265311420 1571386248880 1767809529990 2020353748560 2121371435988 2357079373320 2651714294985 2828495247984 3030530622840 3535619059980 4242742871976 4714158746640 5303428589970 6061061245680 7071238119960 8485485743952 10606857179940 14142476239920 21213714359880 42427428719760
- Sum of all divisors σ(n): 176395872441600
- Sum of proper divisors (its aliquot sum) s(n): 133968443721840
- 42427428719760 is an abundant number, because the sum of its proper divisors (133968443721840) is greater than itself. Its abundance is 91541015002080
Bases of 42427428719760
- Binary: 10011010010110011001111101000101001100100100002
- Hexadecimal: 0x269667D14C90
- Base-36: F1EW3M6C0
Squares and roots of 42427428719760
- 42427428719760 squared (424274287197602) is 1800086707770315672614457600
- 42427428719760 cubed (424274287197603) is 76373050483312517521883880104034802176000
-
The
square root of 42427428719760 is 6513634.0640045169 -
The
cube root of 42427428719760 is 34877.7856404023
Scales and comparisons
How big is 42427428719760?- 42,427,428,719,760 seconds is equal to 1,349,060 years, 51 weeks, 5 days, 18 hours, 36 minutes.
-
To count from 1 to 42,427,428,719,760 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 42427428719760 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42427428719760
- 42427428719760 backwards is 06791782472424
- 42427428719760 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42427428719760's digits is 63
- More coming soon!
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The information we have on file for 42427428719760 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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