42166817423952
42,166,817,423,952 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42166817423952 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
42166817423952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42166817423952:
24 × 3 × 132 × 192 × 61 × 137 × 1723
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 19 × 61 × 137 × 1723)See below for interesting mathematical facts about the number 42166817423952 from the Numbermatics database.
Names of 42166817423952
- Cardinal: 42166817423952 can be written as Forty-two trillion, one hundred sixty-six billion, eight hundred seventeen million, four hundred twenty-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 4.2166817423952 × 1013
Factors of 42166817423952
Divisors of 42166817423952
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 61 76 78 104 114 122 137 152 156 169 183 208 228 244 247 274 304 312 338 361 366 411 456 488 494 507 548 624 676 722 732 741 793 822 912 976 988 1014 1083 1096 1159 1352 1444 1464 1482 1586 1644 1723 1781 1976 2028 2166 2192 2318 2379 2603 2704 2888 2928 2964 3172 3211 3288 3446 3477 3562 3952 4056 4332 4636 4693 4758 5169 5206 5343 5776 5928 6344 6422 6576 6892 6954 7124 7809 8112 8357 8664 9272 9386 9516 9633 10309 10338 10412 10686 11856 12688 12844 13784 13908 14079 14248 15067 15618 16714 17328 18544 18772 19032 19266 20618 20676 20824 21372 22021 22399 23153 25071 25688 27568 27816 28158 28496 30134 30927 31236 32737 33428 33839 37544 38064 38532 41236 41352 41648 42744 44042 44798 45201 46306 49457 50142 51376 55632 56316 60268 61009 61854 62472 65474 66063 66856 67197 67678 69459 75088 77064 82472 82704 85488 88084 89596 90402 92612 98211 98914 100284 101517 105103 108641 112632 120536 122018 123708 124944 130948 132126 133712 134394 135356 138918 148371 154128 158783 164944 176168 179192 180804 183027 185224 195871 196422 197828 200568 203034 210206 217282 225264 236051 241072 244036 247416 261896 264252 268788 270712 277836 286273 291187 296742 315309 317566 325923 352336 358384 361608 366054 370448 391742 392844 395656 401136 406068 420412 425581 434564 439907 472102 476349 488072 494832 523792 528504 537576 541424 555672 572546 582374 587613 593484 622003 630618 635132 642941 651846 708153 723216 732108 783484 785688 791312 812136 840824 851162 858819 869128 873561 879814 944204 952698 976144 1057008 1075152 1111344 1145092 1164748 1175226 1186968 1244006 1261236 1270264 1276743 1285882 1303692 1319721 1366339 1412333 1416306 1464216 1566968 1571376 1624272 1681648 1702324 1717638 1738256 1747122 1759628 1866009 1888408 1905396 1928823 1996957 2064179 2290184 2329496 2350452 2373936 2488012 2522472 2540528 2553486 2571764 2607384 2639442 2732678 2824666 2832612 2928432 3016877 3068663 3133936 3404648 3435276 3494244 3519256 3721549 3732018 3776816 3810792 3857646 3993914 4099017 4128358 4236999 4484969 4580368 4658992 4700904 4976024 5044944 5106972 5143528 5214768 5278884 5465356 5532553 5649332 5665224 5990871 6033754 6137326 6192537 6809296 6870552 6988488 7038512 7443098 7464036 7621584 7715292 7987828 8086039 8198034 8256716 8358233 8473998 8969938 9050631 9205989 9401808 9952048 10213944 10287056 10557768 10930712 11065106 11164647 11298664 11330448 11981742 12067508 12274652 12385074 13454907 13741104 13976976 14399111 14886196 14928072 15430584 15975656 16172078 16396068 16513432 16597659 16716466 16947996 17762407 17939876 18101262 18411978 20427888 21115536 21861424 22130212 22329294 22597328 23963484 24135016 24258117 24549304 24770148 25074699 25960441 26834327 26909814 28798222 29772392 29856144 30861168 31951312 32344156 32792136 33026864 33195318 33432932 33895992 35524814 35879752 36202524 36823956 37942183 39219401 39892619 43197333 44260424 44658588 47926968 48270032 48516234 49098608 49540296 50149398 51920882 53287221 53668654 53819628 57596444 58304597 59544784 64688312 65584272 66390636 66865864 67791984 71049628 71759504 72405048 73647912 75884366 77881323 78438802 79785238 80502981 85214411 86394666 88520848 89317176 95853936 97032468 99080592 100298796 103841764 105118507 106574442 107337308 107639256 113826549 115192888 116609194 117658203 119677857 129376624 132781272 133731728 142099256 144810096 147295824 151768732 155762646 156877604 159570476 161005962 170428822 172789332 174913791 178634352 187188443 194064936 200597592 207683528 210237014 213148884 214674616 215278512 227653098 230385776 233218388 235316406 239355714 255643233 265562544 273583109 284198512 303537464 311525292 313755208 315355521 319140952 322011924 337485733 340857644 345578664 349827582 374376886 388129872 401195184 415367056 420474028 426297768 429349232 455306196 466436776 470632812 478711428 493248379 509852213 511286466 547166218 561565329 607074928 623050584 627510416 630711042 638281904 644023848 674971466 681715288 691157328 699655164 748753772 757959761 820749327 840948056 852595536 910612392 932873552 941265624 957422856 986496758 1012457199 1019704426 1022572932 1094332436 1107787343 1123130658 1246101168 1261422084 1288047696 1349942932 1363430576 1399310328 1479745137 1497507544 1515919522 1529556639 1641498654 1681896112 1821224784 1882531248 1914845712 1972993516 2024914398 2039408852 2045145864 2188664872 2215574686 2246261316 2273879283 2433449759 2522844168 2699885864 2798620656 2959490274 2995015088 3031839044 3059113278 3282997308 3323362029 3556580417 3945987032 4049828796 4078817704 4090291728 4377329744 4431149372 4492522632 4547758566 4866899518 5045688336 5198079071 5399771728 5918980548 6063678088 6118226556 6412228927 6565994616 6646724058 7113160834 7300349277 7891974064 8099657592 8157635408 8862298744 8985045264 9095517132 9733799036 10396158142 10669741251 11837961096 12127356176 12236453112 12824457854 13131989232 13293448116 14226321668 14401235459 14600698554 15594237213 16199315184 17724597488 18191034264 19236686781 19467598072 20792316284 21339482502 23675922192 24472906224 25648915708 26586896232 28452643336 28802470918 29201397108 31188474426 36382068528 38473373562 38935196144 41584632568 42678965004 43203706377 46235545421 51297831416 53173792464 56905286672 57604941836 58402794216 62376948852 67575027923 76946747124 83169265136 85357930008 86407412754 92471090842 102595662832 115209883672 116805588432 124753897704 135150055846 138706636263 153893494248 170715860016 172814825508 184942181684 202725083769 230419767344 249507795408 270300111692 277413272526 307786988496 345629651016 369884363368 405450167538 540600223384 554826545052 691259302032 739768726736 810900335076 878475362999 1081200446768 1109653090104 1621800670152 1756950725998 2219306180208 2635426088997 3243601340304 3513901451996 5270852177994 7027802903992 10541704355988 14055605807984 21083408711976 42166817423952
- Sum of all divisors σ(n): 127528070234688
- Sum of proper divisors (its aliquot sum) s(n): 85361252810736
- 42166817423952 is an abundant number, because the sum of its proper divisors (85361252810736) is greater than itself. Its abundance is 43194435386784
Bases of 42166817423952
- Binary: 10011001011001101110100010110010000010010100002
- Hexadecimal: 0x2659BA2C8250
- Base-36: EY362DNIO
Squares and roots of 42166817423952
- 42166817423952 squared (421668174239522) is 1778040491664901981303298304
- 42166817423952 cubed (421668174239523) is 74974308784427769690872125858674290577408
-
The
square root of 42166817423952 is 6493598.1877501475 -
The
cube root of 42166817423952 is 34806.2264324557
Scales and comparisons
How big is 42166817423952?- 42,166,817,423,952 seconds is equal to 1,340,774 years, 18 weeks, 6 days, 7 hours, 59 minutes, 12 seconds.
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To count from 1 to 42,166,817,423,952 would take you about three million, three hundred fifty-one thousand, nine hundred thirty-five 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 42166817423952 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42166817423952
- 42166817423952 backwards is 25932471866124
- The number of decimal digits it has is: 14
- The sum of 42166817423952's digits is 60
- More coming soon!
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The information we have on file for 42166817423952 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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