106871020247461617

Names of 106871020247461617

• Cardinal: 106871020247461617 can be written as One hundred six quadrillion, eight hundred seventy-one trillion, twenty billion, two hundred forty-seven million, four hundred sixty-one thousand, six hundred seventeen.

Scientific notation

• Scientific notation: 1.06871020247461617 × 10¹⁷

Factors of 106871020247461617

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 161

Divisors of 106871020247461617

• Number of divisors d(n): 180
• Complete list of divisors:
  1 3 7 9 21 27 49 63 81 147 151 189 343 441 453 567 1029 1057 1323 1359 2401 3087 3171 3969 4077 7203 7399 9261 9513 12231 16807 21609 22197 22801 27783 28539 50421 51793 64827 66591 68403 85617 151263 155379 159607 194481 199773 205209 362551 453789 466137 478821 599319 615627 1087653 1117249 1361367 1398411 1436463 1846881 2537857 3262959 3351747 3442951 4195233 4309389 7613571 7820743 9788877 10055241 10328853 12928167 22840713 23462229 24100657 29366631 30165723 30986559 54745201 68522139 70386687 72301971 90497169 92959677 164235603 168704599 205566417 211160061 216905913 278879031 383216407 492706809 506113797 519885601 633480183 650717739 1149649221 1180932193 1478120427 1518341391 1559656803 1952153217 3448947663 3542796579 3639199207 4434361281 4555024173 4678970409 8266525351 10346842989 10628389737 10917597621 13665072519 14036911227 24799576053 25474394449 31040528967 31885169211 32752792863 42110733681 57865677457 74398728159 76423183347 78502725751 95655507633 98258378589 173597032371 178320761143 223196184477 229269550041 235508177253 294775135767 520791097113 534962283429 549519080257 669588553431 687808650123 706524531759 1248245328001 1562373291339 1604886850287 1648557240771 2063425950369 2119573595277 3744735984003 3846633561799 4687119874017 4814660550861 4945671722313 6358720785831 8737717296007 11234207952009 11539900685397 14443981652583 14837015166939 26213151888021 26926434932593 33702623856027 34619702056191 44511045500817 78639455664063 80779304797779 101107871568081 103859106168573 188485044528151 235918366992189 242337914393337 311577318505719 565455133584453 707755100976567 727013743180011 1319395311697057 1696365400753359 2181041229540033 3958185935091171 5089096202260077 11874557805273513 15267288606780231 35623673415820539 106871020247461617
• Sum of all divisors σ(n): 187494742063113408
• Sum of proper divisors (its aliquot sum) s(n): 80623721815651791
• 106871020247461617 is a deficient number, because the sum of its proper divisors (80623721815651791) is less than itself. Its deficiency is 26247298431809826

Bases of 106871020247461617

• Binary: 101111011101011101010000001101110101000100010111011110001₂
• Hexadecimal: 0x17BAEA06EA22EF1
• Base-36: T8AM4XBD629

Squares and roots of 106871020247461617

• 106871020247461617 squared (106871020247461617²) is 11421414968733350900515931888254689
• 106871020247461617 cubed (106871020247461617³) is 1220618270378163135346815622818383272542148647772113
• The square root of 106871020247461617 is 326911333.9232239237
• The cube root of 106871020247461617 is 474555.1073477693

Scales and comparisons

• 106,871,020,247,461,617 seconds is equal to 3,398,167,870 years, 5 weeks, 23 hours, 46 minutes, 57 seconds.
• To count from 1 to 106,871,020,247,461,617 would take you about ten billion, one hundred ninety-four million, five hundred three thousand, six hundred ten 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 106871020247461617 cubic inches would be around 39546.3 feet tall.

Recreational maths with 106871020247461617

• 106871020247461617 backwards is 716164742020178601
• 106871020247461617 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106871020247461617's digits is 63
• More coming soon!