513417220960114801152

Names of 513417220960114801152

• Cardinal: 513417220960114801152 can be written as Five hundred thirteen quintillion, four hundred seventeen quadrillion, two hundred twenty trillion, nine hundred sixty billion, one hundred fourteen million, eight hundred one thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 5.13417220960114801152 × 10²⁰

Factors of 513417220960114801152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5864140407530575

Divisors of 513417220960114801152

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 87552 5864140407530551 11728280815061102 17592421222591653 23456561630122204 35184842445183306 46913123260244408 52777263667774959 70369684890366612 93826246520488816 105554527335549918 111418667743080469 140739369780733224 187652493040977632 211109054671099836 222837335486160938 281478739561466448 334256003229241407 375304986081955264 422218109342199672 445674670972321876 562957479122932896 668512006458482814 750609972163910528 844436218684399344 891349341944643752 1002768009687724221 1125914958245865792 1337024012916965628 1501219944327821056 1688872437368798688 1782698683889287504 2005536019375448442 2251829916491731584 2674048025833931256 3002439888655642112 3377744874737597376 3565397367778575008 4011072038750896884 4503659832983463168 5348096051667862512 6755489749475194752 7130794735557150016 8022144077501793768 9007319665966926336 10696192103335725024 13510979498950389504 14261589471114300032 16044288155003587536 21392384206671450048 27021958997900779008 28523178942228600064 32088576310007175072 42784768413342900096 57046357884457200128 64177152620014350144 85569536826685800192 128354305240028700288 171139073653371600384 256708610480057400576 513417220960114801152
• Sum of all divisors σ(n): 1559744065594976220960
• Sum of proper divisors (its aliquot sum) s(n): 1046326844634861419808
• 513417220960114801152 is an abundant number, because the sum of its proper divisors (1046326844634861419808) is greater than itself. Its abundance is 532909623674746618656

Bases of 513417220960114801152

• Binary: 110111101010100011000011000100100001100011111111000010111101000000000₂
• Hexadecimal: 0x1BD51862431FE17A00
• Base-36: 30CPBJFZX8OE80

Squares and roots of 513417220960114801152

• 513417220960114801152 squared (513417220960114801152²) is 263597242778407345098445706271144500527104
• 513417220960114801152 cubed (513417220960114801152³) is 135335363840038589482430656973118016819702371849918816146423808
• The square root of 513417220960114801152 is 22658711811.5773475043
• The cube root of 513417220960114801152 is 8007374.5590632439

Scales and comparisons

• 513,417,220,960,114,801,152 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,417,220,960,114,801,152 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 513417220960114801152 cubic inches would be around 667281.2 feet tall.

Recreational maths with 513417220960114801152

• 513417220960114801152 backwards is 251108411069022714315
• The number of decimal digits it has is: 21
• The sum of 513417220960114801152's digits is 63
• More coming soon!