42144521504274432
42,144,521,504,274,432 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42144521504274432 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
42144521504274432 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42144521504274432:
211 × 34 × 31 × 47 × 113 × 1049 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 47 × 113 × 1049 × 1471)See below for interesting mathematical facts about the number 42144521504274432 from the Numbermatics database.
Names of 42144521504274432
- Cardinal: 42144521504274432 can be written as Forty-two quadrillion, one hundred forty-four trillion, five hundred twenty-one billion, five hundred four million, two hundred seventy-four thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.2144521504274432 × 1016
Factors of 42144521504274432
Divisors of 42144521504274432
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 64 72 81 93 94 96 108 113 124 128 141 144 162 186 188 192 216 226 248 256 279 282 288 324 339 372 376 384 423 432 452 496 512 558 564 576 648 678 744 752 768 837 846 864 904 992 1017 1024 1049 1116 1128 1152 1269 1296 1356 1457 1471 1488 1504 1536 1674 1692 1728 1808 1984 2034 2048 2098 2232 2256 2304 2511 2538 2592 2712 2914 2942 2976 3008 3051 3072 3147 3348 3384 3456 3503 3616 3807 3968 4068 4196 4371 4413 4464 4512 4608 5022 5076 5184 5311 5424 5828 5884 5952 6016 6102 6144 6294 6696 6768 6912 7006 7232 7614 7936 8136 8392 8742 8826 8928 9024 9153 9216 9441 10044 10152 10368 10509 10622 10848 11656 11768 11904 12032 12204 12588 13113 13239 13392 13536 13824 14012 14464 15228 15872 15933 16272 16784 17484 17652 17856 18048 18306 18432 18882 20088 20304 20736 21018 21244 21696 23312 23536 23808 24064 24408 25176 26226 26478 26784 27072 27648 28024 28323 28928 30456 31527 31744 31866 32519 32544 33568 34968 35304 35712 36096 36612 37764 39339 39717 40176 40608 41472 42036 42488 43392 45601 46624 47072 47616 47799 48128 48816 49303 50352 52452 52956 53568 54144 55296 56048 56646 57856 60912 63054 63488 63732 65038 65088 67136 69137 69936 70608 71424 72192 73224 75528 78678 79434 80352 81216 82944 84072 84969 84976 86784 91202 93248 94144 94581 95232 95598 96256 97557 97632 98606 100704 104904 105912 107136 108288 112096 113292 115712 118017 118537 119151 121824 126108 127464 130076 130176 134272 136803 138274 139872 141216 142848 143397 144384 146448 147909 151056 157356 158868 160704 162432 164641 165888 166223 168144 169938 169952 173568 182404 186496 188288 189162 190464 191196 195114 195264 197212 201408 207411 209808 211824 214272 216576 224192 226584 231424 236034 237074 238302 243648 252216 254928 260152 260352 268544 273606 276548 279744 282432 283743 285696 286794 288768 292671 292896 295818 302112 314712 317736 321408 324864 329282 332446 336288 339876 339904 347136 355611 364808 372992 376576 378324 382392 390228 390528 394424 402816 410409 414822 419616 423648 428544 430191 433152 443727 448384 453168 472068 474148 476604 487296 493923 498669 504432 509856 520304 520704 537088 547212 553096 559488 564864 567486 571392 573588 585342 585792 591636 604224 622233 629424 635472 642816 649728 658564 664892 672576 679752 679808 694272 711222 729616 745984 753152 756648 764784 780456 781056 788848 805632 820818 829644 839232 847296 857088 860382 866304 878013 887454 896768 906336 944136 948296 953208 974592 987846 997338 1008864 1019712 1040608 1041408 1066833 1074176 1094424 1106192 1118976 1129728 1134972 1147176 1170684 1171584 1183272 1208448 1231227 1244466 1258848 1270944 1285632 1299456 1317128 1329784 1331181 1345152 1359504 1359616 1422444 1459232 1481769 1491968 1496007 1506304 1513296 1528393 1529568 1543079 1560912 1562112 1577696 1611264 1641636 1659288 1678464 1694592 1714176 1720764 1756026 1774908 1793536 1812672 1866699 1888272 1896592 1906416 1949184 1975692 1994676 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73167572056032 74724328908288 75527816315904 82313518563036 84968793355392 93240091823616 97556762741376 99632438544384 109751358084048 112086493362432 113291724473856 124320122431488 130075683655168 146335144112064 149448657816576 151055632631808 164627037126072 169937586710784 186480183647232 195113525482752 219502716168096 224172986724864 226583448947712 260151367310336 292670288224128 298897315633152 329254074252144 339875173421568 372960367294464 390227050965504 439005432336192 448345973449728 453166897895424 520302734620672 585340576448256 658508148504288 679750346843136 780454101931008 878010864672384 896691946899456 1170681152896512 1317016297008576 1359500693686272 1560908203862016 1756021729344768 2341362305793024 2634032594017152 3512043458689536 4682724611586048 5268065188034304 7024086917379072 10536130376068608 14048173834758144 21072260752137216 42144521504274432
- Sum of all divisors σ(n): 134101134655488000
- Sum of proper divisors (its aliquot sum) s(n): 91956613151213568
- 42144521504274432 is an abundant number, because the sum of its proper divisors (91956613151213568) is greater than itself. Its abundance is 49812091646939136
Bases of 42144521504274432
- Binary: 100101011011101000111000000100010111110110111000000000002
- Hexadecimal: 0x95BA38117DB800
- Base-36: BIYZHWCCG00
Squares and roots of 42144521504274432
- 42144521504274432 squared (421445215042744322) is 1776160692824250032666846768922624
- 42144521504274432 cubed (421445215042744323) is 74855442513778579325653770705697274172595469549568
-
The
square root of 42144521504274432 is 205291308.8863589277 -
The
cube root of 42144521504274432 is 348000.9069433867
Scales and comparisons
How big is 42144521504274432?- 42,144,521,504,274,432 seconds is equal to 1,340,065,422 years, 14 weeks, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 42,144,521,504,274,432 would take you about four billion, twenty million, one hundred ninety-six thousand, two hundred sixty-six 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 42144521504274432 cubic inches would be around 29000.1 feet tall.
Recreational maths with 42144521504274432
- 42144521504274432 backwards is 23447240512544124
- 42144521504274432 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42144521504274432's digits is 54
- More coming soon!
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The information we have on file for 42144521504274432 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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