131677668217144945

Names of 131677668217144945

• Cardinal: 131677668217144945 can be written as One hundred thirty-one quadrillion, six hundred seventy-seven trillion, six hundred sixty-eight billion, two hundred seventeen million, one hundred forty-four thousand, nine hundred forty-five.

Scientific notation

• Scientific notation: 1.31677668217144945 × 10¹⁷

Factors of 131677668217144945

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 175

Divisors of 131677668217144945

• Number of divisors d(n): 384
• Complete list of divisors:
  1 5 7 31 35 49 59 73 155 217 245 295 343 365 413 511 961 1085 1519 1715 1829 2065 2263 2555 2891 3481 3577 4307 4805 5329 6727 7595 9145 10633 11315 12803 14455 15841 17405 17885 20237 21535 24367 25039 26645 30149 33635 37303 47089 53165 56699 64015 70153 79205 89621 101185 107911 110887 121835 125195 133517 150745 165199 170569 186515 205379 211043 235445 254113 261121 283495 314411 329623 350765 389017 396893 448105 491071 539555 554435 627347 667585 755377 776209 825995 852845 934619 1026895 1055215 1156393 1193983 1270565 1305605 1437653 1477301 1572055 1648115 1778791 1827847 1945085 1984465 2200877 2455355 2723119 2778251 3136735 3345241 3437497 3776885 3881045 4139027 4673095 5121169 5287639 5781965 5969915 6366749 6542333 7188265 7386505 7877503 8094751 8893955 9139235 9746741 10063571 11004385 12059527 12451537 13615595 13891255 14992667 15406139 16726205 17187485 18550249 19061833 19447757 20695135 22952003 23416687 24062479 25605845 26438195 28973189 31833745 32711665 35848183 37013473 39387515 40473755 44567243 45796331 48733705 50317855 55142521 56663257 60297635 62257685 68227187 70444997 74963335 77030695 84416689 87160759 92751245 95309165 97238785 104948669 107842973 114760015 117083435 120312395 129851743 133432831 144865945 160664021 163916809 179240915 185067365 197369219 202812323 222836215 228981655 244202593 250937281 275712605 283316285 302148971 311970701 341135935 352224985 373845337 385997647 422083445 435803795 464772677 477590309 524743345 539214865 575057719 590916823 649258715 667164155 711512093 734640683 803320105 819584045 908962201 986846095 1014061615 1094464691 1124648147 1147417663 1221012965 1254686405 1354168177 1381584533 1419686261 1510744855 1559853505 1709418151 1756560967 1869226685 1929988235 2115042797 2183794907 2323863385 2387951545 2616917359 2701983529 2875288595 2954584115 3253408739 3343132163 3557560465 3673203415 4025404033 4136417761 4544811005 4980584651 5142484781 5472323455 5623240735 5737088315 6362735407 6770840885 6907922665 7098431305 7661252837 7872537029 8547090755 8782804835 9479177239 9671091731 10575213985 10918974535 11965927057 13084586795 13509917645 14407952987 14805299579 16267043695 16715660815 17826789289 18318421513 20127020165 20682088805 22056874883 22773861173 24902923255 25712423905 28177828231 31813677035 33928405421 34864092557 38306264185 39362685145 41979213487 47395886195 48355458655 53628769859 59829635285 66354240673 67697642117 72039764935 74026497895 79895922443 83761489399 89133946445 91592107565 100855670909 103637097053 110284374415 113869305865 124787525023 128228950591 140889141155 154398124181 159417028211 169642027105 174320462785 197244797617 209896067435 237498837947 244048647899 268143849295 293854494409 331771203365 338488210585 375401389013 399479612215 418807446995 464479684711 504278354545 518185485265 559271457101 623937625115 641144752955 705989696363 771990620905 797085141055 873512675161 986223988085 1051780568051 1080786869267 1187494189735 1220243239495 1301355618097 1469272472045 1662491865629 1877006945065 2056981460863 2322398423555 2476773595733 2796357285505 3529948481815 3914900199707 4367563375805 4941927874541 5258902840255 5403934346335 6114588726127 6506778090485 7362463976357 7565508084869 8312459328145 9109489326679 10284907304315 11637443059403 12383867978665 14398870226041 17337415170131 19574500998535 24709639372705 27404301397949 30572943630635 36812319881785 37827540424345 45547446633395 51537247834499 58187215297015 63766425286753 71994351130205 76779981467723 86687075850655 121361906190917 137021506989745 257686239172495 318832126433765 360760734841493 383899907338615 446364977007271 537459870274061 606809530954585 849533343336419 1803803674207465 2231824885036355 2687299351370305 3762219091918427 4247666716682095 18811095459592135 26335533643428989 131677668217144945
• Sum of all divisors σ(n): 196380985956480000
• Sum of proper divisors (its aliquot sum) s(n): 64703317739335055
• 131677668217144945 is a deficient number, because the sum of its proper divisors (64703317739335055) is less than itself. Its deficiency is 66974350477809890

Bases of 131677668217144945

• Binary: 111010011110100000010010000111110111011110100011001110001₂
• Hexadecimal: 0x1D3D0243EEF4671
• Base-36: 100JU5OFUF01

Squares and roots of 131677668217144945

• 131677668217144945 squared (131677668217144945²) is 17339008307104503998328447139053025
• 131677668217144945 cubed (131677668217144945³) is 2283160183077226923997316447301084806290776465708625
• The square root of 131677668217144945 is 362874176.8397758903
• The cube root of 131677668217144945 is 508749.5551010055

Scales and comparisons

• 131,677,668,217,144,945 seconds is equal to 4,186,942,543 years, 27 weeks, 5 days, 14 hours, 2 minutes, 25 seconds.
• To count from 1 to 131,677,668,217,144,945 would take you about twelve billion, five hundred sixty million, eight hundred twenty-seven thousand, six hundred thirty 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 131677668217144945 cubic inches would be around 42395.8 feet tall.

Recreational maths with 131677668217144945

• 131677668217144945 backwards is 549441712866776131
• The number of decimal digits it has is: 18
• The sum of 131677668217144945's digits is 82
• More coming soon!