106742244712088457

Names of 106742244712088457

• Cardinal: 106742244712088457 can be written as One hundred six quadrillion, seven hundred forty-two trillion, two hundred forty-four billion, seven hundred twelve million, eighty-eight thousand, four hundred fifty-seven.

Scientific notation

• Scientific notation: 1.06742244712088457 × 10¹⁷

Factors of 106742244712088457

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 68

Divisors of 106742244712088457

• Number of divisors d(n): 350
• Complete list of divisors:
  1 3 9 17 19 27 29 51 57 81 87 153 171 261 323 361 459 493 513 551 783 841 969 1083 1377 1479 1539 1653 2349 2523 2907 3249 4437 4959 6137 6859 7569 8721 9367 9747 10469 13311 14297 14877 15979 18411 20577 22707 24389 26163 28101 29241 31407 39933 42891 44631 47937 55233 61731 68121 73167 84303 94221 116603 128673 130321 143811 165699 177973 185193 198911 219501 252909 271643 282663 303601 349809 386019 390963 414613 431433 463391 497097 533919 555579 596733 658503 707281 758727 814929 847989 910803 1049427 1158057 1172889 1243839 1294299 1390173 1601757 1790199 1975509 2121843 2215457 2444787 2732409 3148281 3381487 3518667 3731517 3779309 4170519 4805271 5161217 5370597 5768419 6365529 6646371 7334361 7877647 8197227 8804429 9444843 10144461 10556001 11194551 11337927 12023777 12511557 13438339 14415813 15483651 16111791 17305257 19096587 19939113 20511149 22003083 23632941 24591681 26413287 30433383 33583653 34013781 36071331 37534671 40315017 46450953 51915771 57289761 59817339 61533447 64248253 70898823 79239861 91300149 98063123 102041343 108213993 109599961 120945051 139352859 149675293 155747313 167284151 179452017 184600341 192744759 212696469 228451763 237719583 255328441 273900447 294189369 306124029 324641979 328799883 348689533 362835153 389711831 418058577 449025879 467241939 501852453 553801023 578234277 594823321 638089407 685355289 713158749 765985323 882568107 973925937 986399649 1046068599 1088505459 1169135493 1347077637 1505557359 1661403069 1734702831 1784469963 1863199337 2056065867 2297955969 2647704321 2843830567 2959198947 3138205797 3178398869 3507406479 4041232911 4340583497 4516672077 4851240379 5204108493 5353409889 5589598011 6168197601 6625101127 6893867907 7404524789 7943112963 8531491701 8877596841 9414617391 9535196607 10111996457 10522219437 11301643099 12123698733 13021750491 13550016231 14553721137 16060229667 16768794033 18504592803 19875303381 20681603721 22213574367 25594475103 28243852173 28605589821 30335989371 31566658311 33904929297 39065251473 43661163411 48180689001 50306382099 54032780773 59625910143 66640723101 76783425309 82471086443 85816769463 91007968113 92173567201 101714787891 117195754419 125876921413 130983490233 140685970991 150919146297 162098342319 178877730429 192127932683 199922169303 214731218881 230350275927 247413259329 257450308389 273023904339 276520701603 305144363673 351587263257 377630764239 392950470699 422057912973 486295026957 536633191287 576383798049 599766507909 644193656643 742239777987 819071713017 829562104809 915433091019 1132892292717 1266173738919 1458885080871 1566950642417 1729151394147 1932580969929 2226719333961 2391661506847 2488686314427 2673033448829 3398676878151 3650430720977 3798521216757 4079893158739 4376655242613 4700851927251 5187454182441 5797742909787 6680158001883 7174984520541 7466058943281 8019100346487 10196030634453 10951292162931 11395563650271 12239679476217 14102555781753 15562362547323 17393228729361 21524953561623 24057301039461 32853876488793 36719038428651 42307667345259 45441568630093 64574860684869 69358183698563 72171903118383 77517970016041 98561629466379 110157115285953 126923002035777 136324705890279 193724582054607 208074551095689 216515709355149 232553910048123 295684888399137 330471345857859 408974117670837 624223653287067 697661730144369 1226922353012511 1317805490272697 1872670959861201 2092985190433107 3680767059037533 3953416470818091 5618012879583603 6278955571299321 11860249412454273 35580748237362819 106742244712088457
• Sum of all divisors σ(n): 184578517550172438
• Sum of proper divisors (its aliquot sum) s(n): 77836272838083981
• 106742244712088457 is a deficient number, because the sum of its proper divisors (77836272838083981) is less than itself. Its deficiency is 28905971874004476

Bases of 106742244712088457

• Binary: 101111011001110011000000110001010100101111000001110001001₂
• Hexadecimal: 0x17B39818A978389
• Base-36: T70YU9EHNK9

Squares and roots of 106742244712088457

• 106742244712088457 squared (106742244712088457²) is 11393906806175376160424986592640849
• 106742244712088457 cubed (106742244712088457³) is 1216211188531502225719088744040011275324465719579993
• The square root of 106742244712088457 is 326714316.6622614611
• The cube root of 106742244712088457 is 474364.4237560529
• Being both a perfect square and a perfect cube, 106742244712088457 is also a perfect sixth number.

Scales and comparisons

• 106,742,244,712,088,457 seconds is equal to 3,394,073,206 years, 20 weeks, 6 days, 15 hours, 40 minutes, 57 seconds.
• To count from 1 to 106,742,244,712,088,457 would take you about ten billion, one hundred eighty-two million, two hundred nineteen thousand, six hundred nineteen 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 106742244712088457 cubic inches would be around 39530.4 feet tall.

Recreational maths with 106742244712088457

• 106742244712088457 backwards is 754880217442247601
• The number of decimal digits it has is: 18
• The sum of 106742244712088457's digits is 72
• More coming soon!