42126308224
42,126,308,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 42126308224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
42126308224 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 42126308224:
27 × 72 × 11 × 132 × 3613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 13 × 3613)See below for interesting mathematical facts about the number 42126308224 from the Numbermatics database.
Names of 42126308224
- Cardinal: 42126308224 can be written as Forty-two billion, one hundred twenty-six million, three hundred eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 4.2126308224 × 1010
Factors of 42126308224
Divisors of 42126308224
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 77 88 91 98 104 112 128 143 154 169 176 182 196 208 224 286 308 338 352 364 392 416 448 539 572 616 637 676 704 728 784 832 896 1001 1078 1144 1183 1232 1274 1352 1408 1456 1568 1664 1859 2002 2156 2288 2366 2464 2548 2704 2912 3136 3613 3718 4004 4312 4576 4732 4928 5096 5408 5824 6272 7007 7226 7436 8008 8281 8624 9152 9464 9856 10192 10816 11648 13013 14014 14452 14872 16016 16562 17248 18304 18928 20384 21632 25291 26026 28028 28904 29744 32032 33124 34496 37856 39743 40768 46969 50582 52052 56056 57808 59488 64064 66248 68992 75712 79486 81536 91091 93938 101164 104104 112112 115616 118976 128128 132496 151424 158972 177037 182182 187876 202328 208208 224224 231232 237952 264992 278201 317944 328783 354074 364364 375752 404656 416416 448448 462464 516659 529984 556402 610597 635888 657566 708148 728728 751504 809312 832832 896896 1033318 1059968 1112804 1221194 1271776 1315132 1416296 1457456 1503008 1618624 1665664 1947407 2066636 2225608 2301481 2442388 2543552 2630264 2832592 2914912 3006016 3237248 3616613 3894814 4133272 4274179 4451216 4602962 4884776 5087104 5260528 5665184 5829824 6012032 6716567 7233226 7789628 8266544 8548358 8902432 9205924 9769552 10521056 11330368 11659648 13433134 14466452 15579256 16533088 17096716 17804864 18411848 19539104 21042112 22660736 25316291 26866268 28932904 29919253 31158512 33066176 34193432 35609728 36823696 39078208 42084224 47015969 50632582 53732536 57865808 59838506 62317024 66132352 68386864 73647392 78156416 94031938 101265164 107465072 115731616 119677012 124634048 136773728 147294784 188063876 202530328 214930144 231463232 239354024 249268096 273547456 294589568 329111783 376127752 405060656 429860288 462926464 478708048 547094912 658223566 752255504 810121312 859720576 957416096 1316447132 1504511008 1620242624 1914832192 2632894264 3009022016 3240485248 3829664384 5265788528 6018044032 10531577056 21063154112 42126308224
- Sum of all divisors σ(n): 115354760040
- Sum of proper divisors (its aliquot sum) s(n): 73228451816
- 42126308224 is an abundant number, because the sum of its proper divisors (73228451816) is greater than itself. Its abundance is 31102143592
Bases of 42126308224
- Binary: 1001110011101110110001110011100000002
- Hexadecimal: 0x9CEEC7380
- Base-36: JCOWZGG
Squares and roots of 42126308224
- 42126308224 squared (421263082242) is 1774625844583450034176
- 42126308224 cubed (421263082243) is 74758435311198737029001509863424
-
The
square root of 42126308224 is 205246.9444937001 -
The
cube root of 42126308224 is 3479.5076874355
Scales and comparisons
How big is 42126308224?- 42,126,308,224 seconds is equal to 1,339 years, 25 weeks, 2 days, 17 minutes, 4 seconds.
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To count from 1 to 42,126,308,224 would take you about two thousand, six hundred seventy-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 42126308224 cubic inches would be around 290 feet tall.
Recreational maths with 42126308224
- 42126308224 backwards is 42280362124
- The number of decimal digits it has is: 11
- The sum of 42126308224's digits is 34
- More coming soon!
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