42144291311181824

Names of 42144291311181824

• Cardinal: 42144291311181824 can be written as Forty-two quadrillion, one hundred forty-four trillion, two hundred ninety-one billion, three hundred eleven million, one hundred eighty-one thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 4.2144291311181824 × 10¹⁶

Factors of 42144291311181824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 346

Divisors of 42144291311181824

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 4 8 16 32 61 64 122 128 244 256 283 488 512 566 976 1024 1132 1952 2048 2264 3721 3904 4096 4528 7442 7808 8192 9056 14884 15616 17263 18112 29768 31232 34526 36224 59536 62464 69052 72448 80089 119072 124928 138104 144896 160178 226981 238144 249856 276208 289792 320356 453962 476288 499712 552416 579584 640712 907924 952576 1053043 1104832 1159168 1281424 1815848 1905152 2106086 2209664 2318336 2562848 3631696 3810304 4212172 4419328 4885429 5125696 7263392 7620608 8424344 8838656 9770858 10251392 14526784 15241216 16848688 17677312 19541716 20502784 22665187 29053568 30482432 33697376 35354624 39083432 41005568 45330374 58107136 64235623 67394752 70709248 78166864 82011136 90660748 116214272 128471246 134789504 141418496 156333728 164022272 181321496 232428544 256942492 269579008 298011169 312667456 328044544 362642992 464857088 513884984 539158016 596022338 625334912 656089088 725285984 929714176 1027769968 1078316032 1192044676 1250669824 1382576407 1450571968 1859428352 2055539936 2156632064 2384089352 2501339648 2765152814 2901143936 4111079872 4313264128 4768178704 5002679296 5530305628 5802287872 8222159744 8626528256 9536357408 10005358592 11060611256 11604575744 16444319488 18178681309 19072714816 20010717184 22121222512 23209151488 32888638976 36357362618 38145429632 40021434368 44242445024 46418302976 65777277952 72714725236 76290859264 84337160827 88484890048 92836605952 131554555904 145429450472 152581718528 168674321654 176969780096 185673211904 263109111808 290858900944 305163437056 337348643308 353939560192 526218223616 581717801888 610326874112 674697286616 707879120384 1163435603776 1220653748224 1349394573232 1415758240768 2326871207552 2441307496448 2698789146464 2831516481536 4653742415104 5144566810447 5397578292928 5663032963072 9307484830208 10289133620894 10795156585856 11326065926144 18614969660416 20578267241788 21590313171712 37229939320832 41156534483576 43180626343424 74459878641664 82313068967152 86361252686848 148919757283328 164626137934304 172722505373696 329252275868608 345445010747392 658504551737216 690890021494784 1317009103474432 2634018206948864 5268036413897728 10536072827795456 21072145655590912 42144291311181824
• Sum of all divisors σ(n): 85992014529642720
• Sum of proper divisors (its aliquot sum) s(n): 43847723218460896
• 42144291311181824 is an abundant number, because the sum of its proper divisors (43847723218460896) is greater than itself. Its abundance is 1703431907279072

Bases of 42144291311181824

• Binary: 10010101101110100000001001111000111010011110000000000000₂
• Hexadecimal: 0x95BA0278E9E000
• Base-36: BIYWK5DBKZK

Squares and roots of 42144291311181824

• 42144291311181824 squared (42144291311181824²) is 1776141290121755785967695587966976
• 42144291311181824 cubed (42144291311181824³) is 74854215940709587616557427018677453074332043444224
• The square root of 42144291311181824 is 205290748.2357201211
• The cube root of 42144291311181824 is 348000.2733493631

Scales and comparisons

• 42,144,291,311,181,824 seconds is equal to 1,340,058,102 years, 43 weeks, 5 days, 23 hours, 23 minutes, 44 seconds.
• To count from 1 to 42,144,291,311,181,824 would take you about four billion, twenty million, one hundred seventy-four thousand, three hundred 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 42144291311181824 cubic inches would be around 29000 feet tall.

Recreational maths with 42144291311181824

• 42144291311181824 backwards is 42818111319244124
• The number of decimal digits it has is: 17
• The sum of 42144291311181824's digits is 56
• More coming soon!