42417930233968
42,417,930,233,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 42417930233968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
42417930233968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42417930233968:
24 × 17 × 312 × 37 × 1392 × 227
(2 × 2 × 2 × 2 × 17 × 31 × 31 × 37 × 139 × 139 × 227)See below for interesting mathematical facts about the number 42417930233968 from the Numbermatics database.
Names of 42417930233968
- Cardinal: 42417930233968 can be written as Forty-two trillion, four hundred seventeen billion, nine hundred thirty million, two hundred thirty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2417930233968 × 1013
Factors of 42417930233968
Divisors of 42417930233968
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 8 16 17 31 34 37 62 68 74 124 136 139 148 227 248 272 278 296 454 496 527 556 592 629 908 961 1054 1112 1147 1258 1816 1922 2108 2224 2294 2363 2516 3632 3844 3859 4216 4309 4588 4726 5032 5143 7037 7688 7718 8399 8432 8618 9176 9452 10064 10286 14074 15376 15436 16337 16798 17236 18352 18904 19321 19499 20572 28148 30872 31553 32674 33596 34472 35557 37808 38642 38998 41144 56296 61744 63106 65348 67192 68944 71114 73253 77284 77996 82288 87431 112592 119629 126212 130696 133579 134384 142228 142783 146506 154568 155992 159433 174862 218147 239258 252424 260369 261392 267158 284456 285566 293012 309136 311984 318866 328457 349724 436294 478516 504848 520738 534316 536401 568912 571132 586024 598951 604469 637732 656914 699448 714877 872588 957032 978143 1041476 1068632 1072802 1142264 1167461 1172048 1197902 1208938 1275464 1313828 1398896 1429754 1745176 1914064 1956286 2082952 2137264 2145604 2270843 2284528 2334922 2395804 2417876 2550928 2627656 2710361 2859508 3490352 3708499 3912572 4165904 4291208 4385867 4426273 4541686 4669844 4791608 4835752 4942423 5255312 5420722 5719016 7416998 7825144 8071439 8582416 8771734 8852546 9083372 9339688 9583216 9671504 9884846 10182167 10841444 11438032 12152909 14833996 15650288 16142878 16628431 17543468 17705092 18166744 18567481 18679376 19769692 19846837 20364334 21682888 22161187 24305818 29667992 30322433 32285756 33256862 35086936 35410184 36191291 36333488 37134962 39539384 39693674 40728668 43365776 44322374 48611636 59335984 60644866 64571512 66513724 70173872 70820368 72382582 74269924 74559739 79078768 79387348 81457336 84021191 88644748 97223272 121289732 129143024 133027448 135961877 137214463 144765164 148539848 149119478 158774696 162277079 162914672 168042382 177289496 194446544 242579464 266054896 271923754 274428926 289530328 297079696 298238956 315647177 317549392 324554158 336084764 354578992 376740179 485158928 515481361 543847508 548857852 579060656 596477912 615251947 631294354 649108316 672169528 686996797 753480358 1030962722 1087695016 1097715704 1121930021 1192955824 1230503894 1262588708 1298216632 1344339056 1373993594 1506960716 2061925444 2175390032 2195431408 2243860042 2311351909 2461007788 2525177416 2596433264 2747987188 2758710343 3013921432 4123850888 4214818187 4487720084 4622703818 4922015576 5030589449 5050354832 5495974376 5517420686 6027842864 8247701776 8429636374 8975440168 9245407636 9844031152 10061178898 10991948752 11034841372 11678945549 16859272748 17950880336 18490815272 19072810357 20122357796 22069682744 23357891098 33718545496 36981630544 38145620714 40244715592 44139365488 46715782196 67437090992 71651909179 76291241428 80489431184 85520020633 93431564392 143303818358 152582482856 155948272919 171040041266 186863128784 286607636716 305164965712 311896545838 342080082532 573215273432 623793091676 684160165064 1146430546864 1247586183352 1368320330128 2495172366704 2651120639623 5302241279246 10604482558492 21208965116984 42417930233968
- Sum of all divisors σ(n): 93425846965776
- Sum of proper divisors (its aliquot sum) s(n): 51007916731808
- 42417930233968 is an abundant number, because the sum of its proper divisors (51007916731808) is greater than itself. Its abundance is 8589986497840
Bases of 42417930233968
- Binary: 10011010010100001100011010100111101000011100002
- Hexadecimal: 0x269431A9E870
- Base-36: F1AJ0GNSG
Squares and roots of 42417930233968
- 42417930233968 squared (424179302339682) is 1799280805333776547221025024
- 42417930233968 cubed (424179302339683) is 76321767671965891677996165196489102815232
-
The
square root of 42417930233968 is 6512904.8998099151 -
The
cube root of 42417930233968 is 34875.1826790101
Scales and comparisons
How big is 42417930233968?- 42,417,930,233,968 seconds is equal to 1,348,758 years, 50 weeks, 4 days, 14 hours, 19 minutes, 28 seconds.
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To count from 1 to 42,417,930,233,968 would take you about three million, three hundred seventy-one thousand, eight hundred ninety-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 42417930233968 cubic inches would be around 2906.3 feet tall.
Recreational maths with 42417930233968
- 42417930233968 backwards is 86933203971424
- The number of decimal digits it has is: 14
- The sum of 42417930233968's digits is 61
- More coming soon!
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