42629927849017344
42,629,927,849,017,344 is an even composite number composed of five prime numbers multiplied together.
42629927849017344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42629927849017344:
214 × 35 × 112 × 19 × 1673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 167 × 167 × 167)See below for interesting mathematical facts about the number 42629927849017344 from the Numbermatics database.
Names of 42629927849017344
- Cardinal: 42629927849017344 can be written as Forty-two quadrillion, six hundred twenty-nine trillion, nine hundred twenty-seven billion, eight hundred forty-nine million, seventeen thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.2629927849017344 × 1016
Factors of 42629927849017344
Divisors of 42629927849017344
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 81 88 96 99 108 114 121 128 132 144 152 162 167 171 176 192 198 209 216 228 242 243 256 264 288 297 304 324 334 342 352 363 384 396 418 432 456 484 486 501 512 513 528 576 594 608 627 648 668 684 704 726 768 792 836 864 891 912 968 972 1002 1024 1026 1056 1089 1152 1188 1216 1254 1296 1336 1368 1408 1452 1503 1536 1539 1584 1672 1728 1782 1824 1837 1881 1936 1944 2004 2048 2052 2112 2178 2299 2304 2376 2432 2508 2592 2672 2673 2736 2816 2904 3006 3072 3078 3168 3173 3267 3344 3456 3564 3648 3674 3762 3872 3888 4008 4096 4104 4224 4356 4509 4598 4608 4617 4752 4864 5016 5184 5344 5346 5472 5511 5632 5643 5808 6012 6144 6156 6336 6346 6534 6688 6897 6912 7128 7296 7348 7524 7744 7776 8016 8192 8208 8448 8712 9018 9196 9216 9234 9504 9519 9728 9801 10032 10368 10688 10692 10944 11022 11264 11286 11616 12024 12288 12312 12672 12692 13068 13376 13527 13794 13824 14256 14592 14696 15048 15488 15552 16032 16384 16416 16533 16896 16929 17424 18036 18392 18432 18468 19008 19038 19456 19602 20064 20207 20691 20736 21376 21384 21888 22044 22528 22572 23232 24048 24576 24624 25344 25384 26136 26752 27054 27588 27648 27889 28512 28557 29184 29392 29403 30096 30976 31104 32064 32832 33066 33792 33858 34848 34903 36072 36784 36864 36936 38016 38076 38912 39204 40128 40414 40581 41382 41472 42752 42768 43776 44088 45056 45144 46464 48096 49152 49248 49599 50688 50768 50787 52272 53504 54108 55176 55296 55778 57024 57114 58368 58784 58806 60192 60621 61952 62073 62208 64128 65664 66132 67584 67716 69696 69806 72144 73568 73728 73872 76032 76152 77824 78408 80256 80828 81162 82764 82944 83667 85504 85536 85671 87552 88176 90112 90288 92928 96192 98496 99198 101376 101536 101574 104544 104709 107008 108216 110352 110592 111556 114048 114228 116736 117568 117612 120384 121242 123904 124146 124416 128256 131328 132264 135168 135432 139392 139612 144288 147136 147456 147744 148797 152064 152304 155648 156816 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62324455919616 63817257259008 65786925692928 67990315548672 70115012909568 71767555301376 74010291404544 80738499714048 83099274559488 83261577830112 85089676345344 87715900923904 88078363324416 93486683879424 98680388539392 101985473323008 107651332952064 111015437106816 117437817765888 121107749571072 124648911839232 127634514518016 131573851385856 140230025819136 143535110602752 148020582809088 161476999428096 166523155660224 175431801847808 176156726648832 186973367758848 197360777078784 203970946646016 215302665904128 222030874213632 242215499142144 249297823678464 255269029036032 263147702771712 280460051638272 296041165618176 322953998856192 333046311320448 352313453297664 373946735517696 394721554157568 430605331808256 444061748427264 484430998284288 526295405543424 560920103276544 592082331236352 645907997712384 666092622640896 747893471035392 789443108315136 888123496854528 968861996568576 1121840206553088 1184164662472704 1291815995424768 1332185245281792 1578886216630272 1776246993709056 1937723993137152 2243680413106176 2368329324945408 2664370490563584 3552493987418112 3875447986274304 4736658649890816 5328740981127168 7104987974836224 10657481962254336 14209975949672448 21314963924508672 42629927849017344
- Sum of all divisors σ(n): 148654307261241600
- Sum of proper divisors (its aliquot sum) s(n): 106024379412224256
- 42629927849017344 is an abundant number, because the sum of its proper divisors (106024379412224256) is greater than itself. Its abundance is 63394451563206912
Bases of 42629927849017344
- Binary: 100101110111001110110001100010100011110111000000000000002
- Hexadecimal: 0x9773B18A3DC000
- Base-36: BNR1QHT6O00
Squares and roots of 42629927849017344
- 42629927849017344 squared (426299278490173442) is 1817310748412424513738226412814336
- 42629927849017344 cubed (426299278490173443) is 77471826084065367753439966342267508511747115843584
-
The
square root of 42629927849017344 is 206470162.1276482265 -
The
cube root of 42629927849017344 is 349331.8623645835
Scales and comparisons
How big is 42629927849017344?- 42,629,927,849,017,344 seconds is equal to 1,355,499,842 years, 29 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,629,927,849,017,344 would take you about four billion, sixty-six million, four hundred ninety-nine thousand, five hundred twenty-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 42629927849017344 cubic inches would be around 29111 feet tall.
Recreational maths with 42629927849017344
- 42629927849017344 backwards is 44371094872992624
- 42629927849017344 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42629927849017344's digits is 81
- More coming soon!
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Cite this page
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"Number 42629927849017344 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 42629927849017344 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/42629927849017344/
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The information we have on file for 42629927849017344 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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