42416801901760
42,416,801,901,760 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42416801901760 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
42416801901760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42416801901760:
26 × 5 × 11 × 13 × 29 × 281 × 113749
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 29 × 281 × 113749)See below for interesting mathematical facts about the number 42416801901760 from the Numbermatics database.
Names of 42416801901760
- Cardinal: 42416801901760 can be written as Forty-two trillion, four hundred sixteen billion, eight hundred one million, nine hundred one thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.241680190176 × 1013
Factors of 42416801901760
Divisors of 42416801901760
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 64 65 80 88 104 110 116 130 143 145 160 176 208 220 232 260 281 286 290 319 320 352 377 416 440 464 520 562 572 580 638 704 715 754 832 880 928 1040 1124 1144 1160 1276 1405 1430 1508 1595 1760 1856 1885 2080 2248 2288 2320 2552 2810 2860 3016 3091 3190 3520 3653 3770 4147 4160 4496 4576 4640 5104 5620 5720 6032 6182 6380 7306 7540 8149 8294 8992 9152 9280 10208 11240 11440 12064 12364 12760 14612 15080 15455 16298 16588 17984 18265 20416 20735 22480 22880 24128 24728 25520 29224 30160 30910 32596 33176 36530 40183 40745 41470 44960 45760 49456 51040 58448 60320 61820 65192 66352 73060 80366 81490 82940 89639 89920 98912 102080 105937 113749 116896 120640 123640 130384 132704 146120 160732 162980 165880 179278 197824 200915 211874 227498 233792 247280 260768 265408 292240 321464 325960 331760 358556 401830 423748 448195 454996 494560 521536 529685 568745 584480 642928 651920 663520 717112 803660 847496 896390 909992 989120 1059370 1137490 1165307 1168960 1251239 1285856 1303840 1327040 1434224 1478737 1607320 1694992 1792780 1819984 2118740 2274980 2330614 2502478 2571712 2607680 2868448 2957474 3214640 3298721 3389984 3585560 3639968 4237480 4549960 4661228 5004956 5736896 5826535 5914948 6256195 6429280 6597442 6779968 7171120 7279936 7393685 8474960 9099920 9322456 10009912 11653070 11829896 12512390 12858560 13194884 14342240 14787370 16266107 16493605 16949920 18199840 18644912 20019824 23306140 23659792 25024780 26389768 28684480 29574740 31963469 32532214 32987210 33899840 36285931 36399680 37289824 40039648 42883373 46612280 47319584 50049560 52779536 59149480 63926938 65064428 65974420 72571862 74579648 80079296 81330535 85766746 93224560 94639168 100099120 105559072 118298960 127853876 130128856 131948840 145143724 159817345 162661070 171533492 181429655 186449120 200198240 211118144 214416865 236597920 255707752 260257712 263897680 290287448 319634690 325322140 343066984 351598159 362859310 372898240 400396480 415525097 428833730 471717103 473195840 511415504 520515424 527795360 580574896 639269380 650644280 686133968 703196318 725718620 831050194 857667460 926940601 943434206 1022831008 1041030848 1055590720 1161149792 1278538760 1301288560 1372267936 1406392636 1451437240 1662100388 1715334920 1757990795 1853881202 1886868412 2045662016 2077625485 2322299584 2358585515 2557077520 2602577120 2744535872 2812785272 2902874480 3324200776 3430669840 3515981590 3707762404 3773736824 4155250970 4570776067 4634703005 4717171030 5114155040 5205154240 5625570544 5805748960 6648401552 6861339680 7031963180 7415524808 7547473648 8310501940 9141552134 9269406010 9434342060 10196346611 10228310080 11251141088 11611497920 12050227813 13296803104 13722679360 14063926360 14831049616 15094947296 16621003880 18283104268 18538812020 18868684120 20392693222 22502282176 22853880335 24100455626 26593606208 28127852720 29662099232 30189894592 33242007760 36566208536 37077624040 37737368240 40785386444 45707760670 48200911252 50981733055 56255705440 59324198464 60251139065 66484015520 73132417072 74155248080 75474736480 81570772888 91415521340 96401822504 101963466110 112511410880 120502278130 132552505943 132968031040 146264834144 148310496160 150949472960 163141545776 182831042680 192803645008 203926932220 241004556260 265105011886 292529668288 296620992320 326283091552 365662085360 385607290016 407853864440 482009112520 530210023772 652566183104 662762529715 731324170720 771214580032 815707728880 964018225040 1060420047544 1325525059430 1462648341440 1631415457760 1928036450080 2120840095088 2651050118860 3262830915520 3856072900160 4241680190176 5302100237720 8483360380352 10604200475440 21208400950880 42416801901760
- Sum of all divisors σ(n): 123192997200000
- Sum of proper divisors (its aliquot sum) s(n): 80776195298240
- 42416801901760 is an abundant number, because the sum of its proper divisors (80776195298240) is greater than itself. Its abundance is 38359393396480
Bases of 42416801901760
- Binary: 10011010010011111011100110100011101100110000002
- Hexadecimal: 0x2693EE68ECC0
- Base-36: F1A0COL34
Squares and roots of 42416801901760
- 42416801901760 squared (424168019017602) is 1799185083573150752691097600
- 42416801901760 cubed (424168019017603) is 76315677274523845382822924117501771776000
-
The
square root of 42416801901760 is 6512818.2764268803 -
The
cube root of 42416801901760 is 34874.8734454653
Scales and comparisons
How big is 42416801901760?- 42,416,801,901,760 seconds is equal to 1,348,723 years, 5 weeks, 4 hours, 42 minutes, 40 seconds.
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To count from 1 to 42,416,801,901,760 would take you about three million, three hundred seventy-one thousand, eight hundred seven 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 42416801901760 cubic inches would be around 2906.2 feet tall.
Recreational maths with 42416801901760
- 42416801901760 backwards is 06710910861424
- The number of decimal digits it has is: 14
- The sum of 42416801901760's digits is 49
- More coming soon!
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