42166881691648
42,166,881,691,648 is an even composite number composed of three prime numbers multiplied together.
42166881691648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42166881691648:
211 × 75 × 1073
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 107 × 107 × 107)See below for interesting mathematical facts about the number 42166881691648 from the Numbermatics database.
Names of 42166881691648
- Cardinal: 42166881691648 can be written as Forty-two trillion, one hundred sixty-six billion, eight hundred eighty-one million, six hundred ninety-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.2166881691648 × 1013
Factors of 42166881691648
Divisors of 42166881691648
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 128 196 214 224 256 343 392 428 448 512 686 749 784 856 896 1024 1372 1498 1568 1712 1792 2048 2401 2744 2996 3136 3424 3584 4802 5243 5488 5992 6272 6848 7168 9604 10486 10976 11449 11984 12544 13696 14336 16807 19208 20972 21952 22898 23968 25088 27392 33614 36701 38416 41944 43904 45796 47936 50176 54784 67228 73402 76832 80143 83888 87808 91592 95872 100352 109568 134456 146804 153664 160286 167776 175616 183184 191744 219136 256907 268912 293608 307328 320572 335552 351232 366368 383488 513814 537824 561001 587216 614656 641144 671104 702464 732736 766976 1027628 1075648 1122002 1174432 1225043 1229312 1282288 1342208 1465472 1533952 1798349 2055256 2151296 2244004 2348864 2450086 2458624 2564576 2684416 2930944 3596698 3927007 4110512 4302592 4488008 4697728 4900172 4917248 5129152 5368832 5861888 7193396 7854014 8221024 8575301 8605184 8976016 9395456 9800344 10258304 10737664 11723776 14386792 15708028 16442048 17150602 17210368 17952032 18790912 19600688 20516608 23447552 27489049 28773584 31416056 32884096 34301204 34420736 35904064 37581824 39201376 41033216 54978098 57547168 60027107 62832112 65768192 68602408 71808128 75163648 78402752 82066432 109956196 115094336 120054214 125664224 131536384 137204816 143616256 156805504 164132864 192423343 219912392 230188672 240108428 251328448 263072768 274409632 287232512 313611008 384846686 420189749 439824784 460377344 480216856 502656896 526145536 548819264 574465024 627222016 769693372 840379498 879649568 920754688 960433712 1005313792 1097638528 1148930048 1254444032 1539386744 1680758996 1759299136 1841509376 1920867424 2010627584 2195277056 2508888064 2941328243 3078773488 3361517992 3518598272 3683018752 3841734848 4021255168 4390554112 5882656486 6157546976 6723035984 7037196544 7683469696 8042510336 8781108224 11765312972 12315093952 13446071968 14074393088 15366939392 17562216448 20589297701 23530625944 24630187904 26892143936 28148786176 30733878784 41178595402 47061251888 49260375808 53784287872 56297572352 61467757568 82357190804 94122503776 98520751616 107568575744 122935515136 164714381608 188245007552 197041503232 215137151488 329428763216 376490015104 394083006464 430274302976 658857526432 752980030208 860548605952 1317715052864 1505960060416 2635430105728 3011920120832 5270860211456 6023840241664 10541720422912 21083440845824 42166881691648
- Sum of all divisors σ(n): 99292500216000
- Sum of proper divisors (its aliquot sum) s(n): 57125618524352
- 42166881691648 is an abundant number, because the sum of its proper divisors (57125618524352) is greater than itself. Its abundance is 14958736832704
Bases of 42166881691648
- Binary: 10011001011001101111100000000100101000000000002
- Hexadecimal: 0x2659BE012800
- Base-36: EY374N4SG
Squares and roots of 42166881691648
- 42166881691648 squared (421668816916482) is 1778045911597439298152955904
- 42166881691648 cubed (421668816916483) is 74974651596647641454484907091111069089792
-
The
square root of 42166881691648 is 6493603.1362909761 -
The
cube root of 42166881691648 is 34806.2441155137
Scales and comparisons
How big is 42166881691648?- 42,166,881,691,648 seconds is equal to 1,340,776 years, 21 weeks, 1 day, 4 hours, 7 minutes, 28 seconds.
-
To count from 1 to 42,166,881,691,648 would take you about three million, three hundred fifty-one thousand, nine hundred forty-one 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 42166881691648 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42166881691648
- 42166881691648 backwards is 84619618866124
- The number of decimal digits it has is: 14
- The sum of 42166881691648's digits is 70
- More coming soon!
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