42048028023120
42,048,028,023,120 is an even composite number composed of seven prime numbers multiplied together.
42048028023120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 42048028023120:
24 × 32 × 5 × 72 × 192 × 232 × 792
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 23 × 23 × 79 × 79)See below for interesting mathematical facts about the number 42048028023120 from the Numbermatics database.
Names of 42048028023120
- Cardinal: 42048028023120 can be written as Forty-two trillion, forty-eight billion, twenty-eight million, twenty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.204802802312 × 1013
Factors of 42048028023120
Divisors of 42048028023120
- Number of divisors d(n): 2430
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 28 30 35 36 38 40 42 45 46 48 49 56 57 60 63 69 70 72 76 79 80 84 90 92 95 98 105 112 114 115 120 126 133 138 140 144 147 152 158 161 168 171 180 184 190 196 207 210 228 230 237 240 245 252 266 276 280 285 294 304 315 316 322 336 342 345 360 361 368 380 392 395 399 414 420 437 441 456 460 474 483 490 504 529 532 552 553 560 570 588 630 632 644 665 684 690 711 720 722 735 760 784 790 798 805 828 840 855 874 882 912 920 931 948 966 980 1008 1035 1058 1064 1083 1104 1106 1127 1140 1176 1185 1197 1260 1264 1288 1311 1330 1368 1380 1422 1444 1449 1470 1501 1520 1580 1587 1596 1610 1656 1659 1680 1710 1748 1764 1805 1817 1840 1862 1896 1932 1960 1995 2070 2116 2128 2166 2185 2205 2212 2254 2280 2352 2370 2394 2415 2520 2527 2576 2622 2645 2660 2736 2760 2765 2793 2844 2888 2898 2940 3002 3059 3160 3174 3192 3220 3249 3312 3318 3381 3420 3496 3528 3555 3610 3634 3703 3724 3792 3864 3871 3920 3933 3990 4140 4232 4332 4370 4410 4424 4503 4508 4560 4655 4740 4761 4788 4830 4977 5040 5054 5244 5290 5320 5415 5451 5520 5530 5586 5635 5688 5776 5796 5880 5985 6004 6118 6241 6320 6348 6384 6440 6498 6555 6636 6762 6840 6992 7056 7110 7220 7245 7268 7406 7448 7505 7581 7728 7742 7866 7935 7980 8280 8295 8303 8379 8464 8664 8740 8820 8848 9006 9016 9085 9177 9310 9480 9522 9576 9660 9954 10051 10108 10143 10488 10507 10580 10640 10830 10902 11060 11109 11172 11270 11376 11592 11613 11760 11970 12008 12236 12482 12635 12696 12719 12880 12996 13110 13272 13509 13524 13680 13965 14220 14440 14490 14536 14812 14896 15010 15162 15295 15484 15732 15870 15960 16245 16353 16560 16590 16606 16758 16905 17328 17480 17640 17689 18012 18032 18170 18354 18515 18620 18723 18960 19044 19152 19320 19355 19665 19908 20102 20216 20286 20976 21014 21160 21413 21660 21804 22120 22218 22344 22515 22540 22743 23184 23226 23805 23940 24016 24472 24885 24909 24964 25270 25392 25438 25921 25992 26220 26544 27018 27048 27255 27531 27930 28440 28519 28880 28980 29072 29624 30020 30153 30324 30590 30968 31205 31464 31521 31740 31920 32490 32706 33180 33212 33327 33516 33810 34523 34839 34960 35280 35378 36024 36340 36708 37030 37240 37446 37905 38088 38157 38640 38710 39330 39816 40204 40432 40572 41515 41791 41895 42028 42320 42826 43320 43608 43687 44240 44436 44688 45030 45080 45486 45885 46452 47610 47880 48944 49770 49818 49928 50255 50540 50715 50876 51842 51984 52440 52535 53067 54036 54096 54510 55062 55545 55860 56169 56880 57038 57960 58065 58121 59248 60040 60306 60648 61180 61936 62410 62928 63042 63480 63595 64239 64980 65412 66360 66424 66654 67032 67545 67620 69046 69678 70357 70756 72048 72680 73416 73549 74060 74480 74727 74892 75810 76176 76314 77420 77763 78660 79632 80408 81144 81765 83030 83582 83790 84056 85557 85652 86640 87216 87374 88445 88872 89033 90060 90160 90459 90972 91770 92904 93615 94563 95220 95760 99540 99636 99856 100510 101080 101430 101752 103569 103684 104880 105070 106134 107065 108072 109020 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22582184760 22852189143 23141457360 23295306384 23836750580 24054935940 24589490072 25028588109 25345405680 25391321270 26116787592 26345882220 26495291760 26612675964 27663176331 28013343120 28604100696 29018652880 29119132980 29569639960 30469585524 30736862590 31615058664 32073247920 32645984490 33265844955 33371450812 35127842960 35483567952 35755125870 36884235108 37309696560 38018108520 38086981905 38825510640 39518823330 39742937640 40626114032 41714313515 42906151044 43527979320 44354459940 45164369520 45704378286 46105293885 47673501160 48109871880 49178980144 50057176218 50782642540 52233575184 52691764440 53225351928 53632688805 55326352662 57208201392 58238265960 58400038921 59139279920 60939171048 61473725180 63230117328 65291968980 66531689910 66742901624 71510251740 73768470216 75085764327 76036217040 76173963810 79037646660 79485875280 83428627030 85812302088 87055958640 88708919880 91408756572 92210587770 95347002320 96219743760 100114352436 101565285080 105383528880 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2213054106480 2336001556840 2628001751445 2803201868208 3003430573080 3504002335260 4204802802312 4672003113680 5256003502890 6006861146160 7008004670520 8409605604624 10512007005780 14016009341040 21024014011560 42048028023120
- Sum of all divisors σ(n): 183555350975178
- Sum of proper divisors (its aliquot sum) s(n): 141507322952058
- 42048028023120 is an abundant number, because the sum of its proper divisors (141507322952058) is greater than itself. Its abundance is 99459294928938
Bases of 42048028023120
- Binary: 10011000111110000100011100011000011001010100002
- Hexadecimal: 0x263E11C61950
- Base-36: EWKLI8J80
Squares and roots of 42048028023120
- 42048028023120 squared (420480280231202) is 1768036660633084815254534400
- 42048028023120 cubed (420480280231203) is 74342455052203455632034410506848035328000
-
The
square root of 42048028023120 is 6484445.0821269201 -
The
cube root of 42048028023120 is 34773.5111387529
Scales and comparisons
How big is 42048028023120?- 42,048,028,023,120 seconds is equal to 1,336,997 years, 11 weeks, 6 days, 12 minutes.
-
To count from 1 to 42,048,028,023,120 would take you about three million, three hundred forty-two thousand, four hundred ninety-three 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 42048028023120 cubic inches would be around 2897.8 feet tall.
Recreational maths with 42048028023120
- 42048028023120 backwards is 02132082084024
- 42048028023120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42048028023120's digits is 36
- More coming soon!
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The information we have on file for 42048028023120 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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