67178345201131968

Names of 67178345201131968

• Cardinal: 67178345201131968 can be written as Sixty-seven quadrillion, one hundred seventy-eight trillion, three hundred forty-five billion, two hundred one million, one hundred thirty-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 6.7178345201131968 × 10¹⁶

Factors of 67178345201131968

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 510033117

Divisors of 67178345201131968

• Number of divisors d(n): 140
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 25409 50818 76227 101636 152454 203272 228681 304908 406544 457362 609816 686043 813088 914724 1219632 1372086 1626176 1829448 2058129 2439264 2744172 3658896 4116258 4878528 5488344 7317792 8232516 10976688 14635584 16465032 21953376 32930064 43906752 65860128 131720256 510007703 1020015406 1530023109 2040030812 3060046218 4080061624 4590069327 6120092436 8160123248 9180138654 12240184872 13770207981 16320246496 18360277308 24480369744 27540415962 32640492992 36720554616 41310623943 48960739488 55080831924 73441109232 82621247886 97921478976 110161663848 146882218464 165242495772 220323327696 293764436928 330484991544 440646655392 660969983088 881293310784 1321939966176 2643879932352 12958785725527 25917571451054 38876357176581 51835142902108 77752714353162 103670285804216 116629071529743 155505428706324 207340571608432 233258143059486 311010857412648 349887214589229 414681143216864 466516286118972 622021714825296 699774429178458 829362286433728 933032572237944 1049661643767687 1244043429650592 1399548858356916 1866065144475888 2099323287535374 2488086859301184 2799097716713832 3732130288951776 4198646575070748 5598195433427664 7464260577903552 8397293150141496 11196390866855328 16794586300282992 22392781733710656 33589172600565984 67178345201131968
• Sum of all divisors σ(n): 199145497923020880
• Sum of proper divisors (its aliquot sum) s(n): 131967152721888912
• 67178345201131968 is an abundant number, because the sum of its proper divisors (131967152721888912) is greater than itself. Its abundance is 64788807520756944

Bases of 67178345201131968

• Binary: 11101110101010100101100101011010010011111110000111000000₂
• Hexadecimal: 0xEEAA595A4FE1C0
• Base-36: IDGQHQNA400

Squares and roots of 67178345201131968

• 67178345201131968 squared (67178345201131968²) is 4512930063962450514119988551553024
• 67178345201131968 cubed (67178345201131968³) is 303171173705436072894113512319844417576609173471232
• The square root of 67178345201131968 is 259187856.9708310391
• The cube root of 67178345201131968 is 406514.8676797465

Scales and comparisons

• 67,178,345,201,131,968 seconds is equal to 2,136,063,581 years, 6 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 67,178,345,201,131,968 would take you about six billion, four hundred eight million, one hundred ninety thousand, seven hundred forty-three 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 67178345201131968 cubic inches would be around 33876.2 feet tall.

Recreational maths with 67178345201131968

• 67178345201131968 backwards is 86913110254387176
• 67178345201131968 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 67178345201131968's digits is 72
• More coming soon!