42688135187907552
42,688,135,187,907,552 is an even composite number composed of five prime numbers multiplied together.
42688135187907552 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42688135187907552:
25 × 33 × 7 × 1093 × 6457660943
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 1093 × 6457660943)See below for interesting mathematical facts about the number 42688135187907552 from the Numbermatics database.
Names of 42688135187907552
- Cardinal: 42688135187907552 can be written as Forty-two quadrillion, six hundred eighty-eight trillion, one hundred thirty-five billion, one hundred eighty-seven million, nine hundred seven thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 4.2688135187907552 × 1016
Factors of 42688135187907552
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 6457662048
Divisors of 42688135187907552
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1093 1512 2016 2186 3024 3279 4372 6048 6558 7651 8744 9837 13116 15302 17488 19674 22953 26232 29511 30604 34976 39348 45906 52464 59022 61208 68859 78696 91812 104928 118044 122416 137718 157392 183624 206577 236088 244832 275436 314784 367248 413154 472176 550872 734496 826308 944352 1101744 1652616 2203488 3305232 6610464 6457660943 12915321886 19372982829 25830643772 38745965658 45203626601 51661287544 58118948487 77491931316 90407253202 103322575088 116237896974 135610879803 154983862632 174356845461 180814506404 206645150176 232475793948 271221759606 309967725264 348713690922 361629012808 406832639409 464951587896 542443519212 619935450528 697427381844 723258025616 813665278818 929903175792 1084887038424 1220497918227 1394854763688 1446516051232 1627330557636 1859806351584 2169774076848 2440995836454 2789709527376 3254661115272 4339548153696 4881991672908 5579419054752 6509322230544 7058223410699 9763983345816 13018644461088 14116446821398 19527966691632 21174670232097 28232893642796 39055933383264 42349340464194 49407563874893 56465787285592 63524010696291 84698680928388 98815127749786 112931574571184 127048021392582 148222691624679 169397361856776 190572032088873 197630255499572 225863149142368 254096042785164 296445383249358 338794723713552 381144064177746 395260510999144 444668074874037 508192085570328 592890766498716 677589447427104 762288128355492 790521021998288 889336149748074 1016384171140656 1185781532997432 1334004224622111 1524576256710984 1581042043996576 1778672299496148 2032768342281312 2371563065994864 2668008449244222 3049152513421968 3557344598992296 4743126131989728 5336016898488444 6098305026843936 7114689197984592 10672033796976888 14229378395969184 21344067593953776 42688135187907552
- Sum of all divisors σ(n): 142423970426357760
- Sum of proper divisors (its aliquot sum) s(n): 99735835238450208
- 42688135187907552 is an abundant number, because the sum of its proper divisors (99735835238450208) is greater than itself. Its abundance is 57047700050542656
Bases of 42688135187907552
- Binary: 100101111010100010100001111111011111111111000011111000002
- Hexadecimal: 0x97A8A1FDFFC3E0
- Base-36: BOBOIKRW3C0
Squares and roots of 42688135187907552
- 42688135187907552 squared (426881351879075522) is 1822276885821070929900288098632704
- 42688135187907552 cubed (426881351879075523) is 77789602051729050380979983349252924475845955780608
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The
square root of 42688135187907552 is 206611072.2781031211 -
The
cube root of 42688135187907552 is 349490.7838197927
Scales and comparisons
How big is 42688135187907552?- 42,688,135,187,907,552 seconds is equal to 1,357,350,655 years, 46 weeks, 6 days, 22 hours, 19 minutes, 12 seconds.
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To count from 1 to 42,688,135,187,907,552 would take you about four billion, seventy-two million, fifty-one thousand, nine hundred sixty-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 42688135187907552 cubic inches would be around 29124.2 feet tall.
Recreational maths with 42688135187907552
- 42688135187907552 backwards is 25570978153188624
- The number of decimal digits it has is: 17
- The sum of 42688135187907552's digits is 81
- More coming soon!
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