42400963971168
42,400,963,971,168 is an even composite number composed of five prime numbers multiplied together.
42400963971168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42400963971168:
25 × 3 × 11 × 312 × 3473
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 31 × 31 × 347 × 347 × 347)See below for interesting mathematical facts about the number 42400963971168 from the Numbermatics database.
Names of 42400963971168
- Cardinal: 42400963971168 can be written as Forty-two trillion, four hundred billion, nine hundred sixty-three million, nine hundred seventy-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2400963971168 × 1013
Factors of 42400963971168
Divisors of 42400963971168
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 347 352 372 496 528 682 694 744 961 992 1023 1041 1056 1364 1388 1488 1922 2046 2082 2728 2776 2883 2976 3817 3844 4092 4164 5456 5552 5766 7634 7688 8184 8328 10571 10757 10912 11104 11451 11532 15268 15376 16368 16656 21142 21514 22902 23064 30536 30752 31713 32271 32736 33312 42284 43028 45804 46128 61072 63426 64542 84568 86056 91608 92256 118327 120409 122144 126852 129084 169136 172112 183216 236654 240818 253704 258168 333467 338272 344224 354981 361227 366432 473308 481636 507408 516336 666934 709962 722454 946616 963272 1000401 1014816 1032672 1324499 1333868 1419924 1444908 1893232 1926544 2000802 2648998 2667736 2839848 2889816 3668137 3732679 3786464 3853088 3973497 4001604 5297996 5335472 5679696 5779632 7336274 7465358 7946994 8003208 10595992 10670944 11004411 11198037 11359392 11559264 14672548 14930716 15893988 16006416 21191984 22008822 22396074 29345096 29861432 31787976 32012832 41059469 41781923 42383968 44017644 44792148 58690192 59722864 63575952 82118938 83563846 88035288 89584296 115713049 117380384 119445728 123178407 125345769 127151904 164237876 167127692 176070576 179168592 231426098 246356814 250691538 328475752 334255384 347139147 352141152 358337184 459601153 462852196 492713628 501383076 656951504 668510768 694278294 919202306 925704392 985427256 1002766152 1272843539 1295239613 1313903008 1337021536 1378803459 1388556588 1838404612 1851408784 1970854512 2005532304 2545687078 2590479226 2757606918 2777113176 3676809224 3702817568 3818530617 3885718839 3941709024 4011064608 5091374156 5180958452 5515213836 5554226352 7353618448 7637061234 7771437678 10182748312 10361916904 11030427672 11108452704 14247635743 14707236896 15274122468 15542875356 20365496624 20723833808 22060855344 28495271486 30548244936 31085750712 40152428003 40730993248 41447667616 42742907229 44121710688 56990542972 61096489872 62171501424 80304856006 85485814458 113981085944 120457284009 122192979744 124343002848 160609712012 170971628916 227962171888 240914568018 321219424024 341943257832 441676708033 455924343776 481829136036 642438848048 683886515664 883353416066 963658272072 1284877696096 1325030124099 1367773031328 1766706832132 1927316544144 2650060248198 3533413664264 3854633088288 5300120496396 7066827328528 10600240992792 14133654657056 21200481985584 42400963971168
- Sum of all divisors σ(n): 125826708389760
- Sum of proper divisors (its aliquot sum) s(n): 83425744418592
- 42400963971168 is an abundant number, because the sum of its proper divisors (83425744418592) is greater than itself. Its abundance is 41024780447424
Bases of 42400963971168
- Binary: 10011010010000001111100110010101001000011000002
- Hexadecimal: 0x26903E654860
- Base-36: F12QF6RMO
Squares and roots of 42400963971168
- 42400963971168 squared (424009639711682) is 1797841745684286812735284224
- 42400963971168 cubed (424009639711683) is 76230223084621227300894170526808221253632
-
The
square root of 42400963971168 is 6511602.2583668299 -
The
cube root of 42400963971168 is 34870.5322837795
Scales and comparisons
How big is 42400963971168?- 42,400,963,971,168 seconds is equal to 1,348,219 years, 25 weeks, 6 days, 19 hours, 32 minutes, 48 seconds.
-
To count from 1 to 42,400,963,971,168 would take you about three million, three hundred seventy thousand, five hundred forty-eight 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 42400963971168 cubic inches would be around 2905.9 feet tall.
Recreational maths with 42400963971168
- 42400963971168 backwards is 86117936900424
- The number of decimal digits it has is: 14
- The sum of 42400963971168's digits is 60
- More coming soon!
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