442349058456027136

Names of 442349058456027136

• Cardinal: 442349058456027136 can be written as Four hundred forty-two quadrillion, three hundred forty-nine trillion, fifty-eight billion, four hundred fifty-six million, twenty-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 4.42349058456027136 × 10¹⁷

Factors of 442349058456027136

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 41
• Sum of prime factors: 80

Divisors of 442349058456027136

• Number of divisors d(n): 304
• Complete list of divisors:
  1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 512 752 992 1024 1457 1504 1984 2048 2209 2914 3008 3968 4096 4418 5828 6016 7936 8192 8836 11656 12032 15872 16384 17672 23312 24064 31744 32768 35344 46624 48128 63488 65536 68479 70688 93248 96256 103823 126976 131072 136958 141376 186496 192512 207646 253952 262144 273916 282752 372992 385024 415292 507904 524288 547832 565504 745984 770048 830584 1015808 1048576 1095664 1131008 1491968 1540096 1661168 2031616 2097152 2191328 2262016 2983936 3080192 3218513 3322336 4063232 4194304 4382656 4524032 5967872 6160384 6437026 6644672 8126464 8388608 8765312 9048064 11935744 12320768 12874052 13289344 16252928 16777216 17530624 18096128 23871488 24641536 25748104 26578688 32505856 33554432 35061248 36192256 47742976 49283072 51496208 53157376 65011712 67108864 70122496 72384512 95485952 98566144 102992416 106314752 130023424 134217728 140244992 144769024 190971904 197132288 205984832 212629504 260046848 268435456 280489984 289538048 381943808 394264576 411969664 425259008 520093696 536870912 560979968 579076096 763887616 788529152 823939328 850518016 1040187392 1073741824 1121959936 1158152192 1527775232 1577058304 1647878656 1701036032 2080374784 2147483648 2243919872 2316304384 3055550464 3154116608 3295757312 3402072064 4160749568 4294967296 4487839744 4632608768 6111100928 6308233216 6591514624 6804144128 8321499136 8589934592 8975679488 9265217536 12222201856 12616466432 13183029248 13608288256 16642998272 17179869184 17951358976 18530435072 24444403712 25232932864 26366058496 27216576512 33285996544 34359738368 35902717952 37060870144 48888807424 50465865728 52732116992 54433153024 66571993088 68719476736 71805435904 74121740288 97777614848 100931731456 105464233984 108866306048 133143986176 137438953472 143610871808 148243480576 195555229696 201863462912 210928467968 217732612096 266287972352 287221743616 296486961152 391110459392 403726925824 421856935936 435465224192 532575944704 574443487232 592973922304 782220918784 807453851648 843713871872 870930448384 1065151889408 1148886974464 1185947844608 1564441837568 1614907703296 1687427743744 1741860896768 2130303778816 2297773948928 2371895689216 3128883675136 3229815406592 3374855487488 3483721793536 4260607557632 4595547897856 4743791378432 6257767350272 6459630813184 6749710974976 6967443587072 9191095795712 9487582756864 12515534700544 13499421949952 13934887174144 18382191591424 18975165513728 25031069401088 26998843899904 27869774348288 36764383182848 37950331027456 50062138802176 53997687799808 55739548696576 73528766365696 75900662054912 100124277604352 107995375599616 111479097393152 147057532731392 151801324109824 200248555208704 215990751199232 222958194786304 294115065462784 303602648219648 431981502398464 445916389572608 588230130925568 863963004796928 891832779145216 1176460261851136 1727926009593856 1783665558290432 2352920523702272 3455852019187712 3567331116580864 4705841047404544 6911704038375424 7134662233161728 9411682094809088 13823408076750848 14269324466323456 27646816153501696 55293632307003392 110587264614006784 221174529228013568 442349058456027136
• Sum of all divisors σ(n): 933089547792430080
• Sum of proper divisors (its aliquot sum) s(n): 490740489336402944
• 442349058456027136 is an abundant number, because the sum of its proper divisors (490740489336402944) is greater than itself. Its abundance is 48391430880375808

Bases of 442349058456027136

• Binary: 11000100011100010100010000000000000000000000000000000000000₂
• Hexadecimal: 0x6238A2000000000
• Base-36: 3CZJNK2QHDDS

Squares and roots of 442349058456027136

• 442349058456027136 squared (442349058456027136²) is 195672689516933712272036524768362496
• 442349058456027136 cubed (442349058456027136³) is 86555629973374158865802900782143687585638180460691456
• The square root of 442349058456027136 is 665093270.4937158933
• The cube root of 442349058456027136 is 761941.6295627943

Scales and comparisons

• 442,349,058,456,027,136 seconds is equal to 14,065,331,783 years, 22 weeks, 23 hours, 32 minutes, 16 seconds.
• To count from 1 to 442,349,058,456,027,136 would take you about forty-two billion, one hundred ninety-five million, nine hundred ninety-five thousand, three hundred fifty 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 442349058456027136 cubic inches would be around 63495.1 feet tall.

Recreational maths with 442349058456027136

• 442349058456027136 backwards is 631720654850943244
• The number of decimal digits it has is: 18
• The sum of 442349058456027136's digits is 73
• More coming soon!