40993798401497984

Names of 40993798401497984

• Cardinal: 40993798401497984 can be written as Forty quadrillion, nine hundred ninety-three trillion, seven hundred ninety-eight billion, four hundred one million, four hundred ninety-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.0993798401497984 × 10¹⁶

Factors of 40993798401497984

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 992

Divisors of 40993798401497984

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 983 1372 1568 1966 2744 3136 3932 5488 6272 6881 7864 10976 13762 15728 21952 27524 31456 43904 48167 55048 62912 96334 110096 125824 192668 220192 337169 385336 440384 674338 770672 880768 966289 1348676 1541344 1932578 2697352 3082688 3865156 5394704 6165376 6764023 7730312 10789408 13528046 15460624 21578816 27056092 30921248 43157632 47348161 54112184 61842496 94696322 108224368 123684992 189392644 216448736 331437127 378785288 432897472 662874254 757570576 865794944 949862087 1325748508 1515141152 1899724174 2651497016 3030282304 3799448348 5302994032 6060564608 6649034609 7598896696 10605988064 13298069218 15197793392 21211976128 26596138436 30395586784 42423952256 46543242263 53192276872 60791173568 93086484526 106384553744 121582347136 186172969052 212769107488 325802695841 372345938104 425538214976 651605391682 744691876208 851076429952 933714431521 1303210783364 1489383752416 1867428863042 2606421566728 2978767504832 3734857726084 5212843133456 5957535009664 6536001020647 7469715452168 10425686266912 13072002041294 14939430904336 20851372533824 26144004082588 29878861808672 41702745067648 45752007144529 52288008165176 59757723617344 91504014289058 104576016330352 119515447234688 183008028578116 209152032660704 320264050011703 366016057156232 418304065321408 640528100023406 732032114312464 836608130642816 1281056200046812 1464064228624928 2562112400093624 2928128457249856 5124224800187248 5856256914499712 10248449600374496 20496899200748992 40993798401497984
• Sum of all divisors σ(n): 95335856609862000
• Sum of proper divisors (its aliquot sum) s(n): 54342058208364016
• 40993798401497984 is an abundant number, because the sum of its proper divisors (54342058208364016) is greater than itself. Its abundance is 13348259806866032

Bases of 40993798401497984

• Binary: 10010001101000111010010001110111101101110001101110000000₂
• Hexadecimal: 0x91A3A477B71B80
• Base-36: B7N3703QQGW

Squares and roots of 40993798401497984

• 40993798401497984 squared (40993798401497984²) is 1680491507382658668207095156064256
• 40993798401497984 cubed (40993798401497984³) is 68889730069074170490689252839750185140252158459904
• The square root of 40993798401497984 is 202469252.9780706827
• The cube root of 40993798401497984 is 344804.3374226983

Scales and comparisons

• 40,993,798,401,497,984 seconds is equal to 1,303,475,987 years, 1 week, 1 day, 14 hours, 19 minutes, 44 seconds.
• To count from 1 to 40,993,798,401,497,984 would take you about three billion, nine hundred ten million, four hundred twenty-seven thousand, nine hundred sixty-one 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 40993798401497984 cubic inches would be around 28733.7 feet tall.

Recreational maths with 40993798401497984

• 40993798401497984 backwards is 48979410489739904
• The number of decimal digits it has is: 17
• The sum of 40993798401497984's digits is 95
• More coming soon!