480142495563752133

Names of 480142495563752133

• Cardinal: 480142495563752133 can be written as Four hundred eighty quadrillion, one hundred forty-two trillion, four hundred ninety-five billion, five hundred sixty-three million, seven hundred fifty-two thousand, one hundred thirty-three.

Scientific notation

• Scientific notation: 4.80142495563752133 × 10¹⁷

Factors of 480142495563752133

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 881

Divisors of 480142495563752133

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 7 9 21 27 63 67 81 113 189 201 243 339 469 567 603 691 791 1017 1407 1701 1809 2073 2373 3051 4221 4837 5427 6219 7119 7571 9153 12663 12769 14511 16281 18657 21357 22713 27459 37989 38307 43533 46297 52997 55971 64071 68139 78083 89383 113967 114921 130599 138891 158991 167913 192213 204417 234249 268149 324079 344763 391797 416673 476973 477481 546581 613251 702747 804447 855523 972237 1034289 1175391 1250019 1430919 1432443 1639743 1839753 2108241 2413341 2566569 2916711 3102867 3342367 3750057 4292757 4297329 4919229 5231561 5988661 6324723 7240023 7699707 8750133 8823379 10027101 11250171 12878271 12891987 14757687 15694683 17965983 18974169 21720069 23099121 26250399 26470137 30081303 31991227 36620927 38675961 44273061 47084049 53897949 53955353 61763653 69297363 78751197 79410411 90243909 95973681 109862781 116027883 132819183 141252147 161693847 161866059 185290959 207892089 223938589 238231233 270731727 287921043 329588343 329939371 377687471 423756441 485081541 485598177 555872877 591166393 671815767 714693699 812195181 863763129 988765029 989818113 1133062413 1271269323 1455244623 1456794531 1667618631 1773499179 2015447301 2144081097 2309575597 2591289387 2966295087 2969454339 3399187239 3615008651 4138164751 4370383593 5002855893 5320497537 6046341903 6096954889 6928726791 7773868161 8898885261 8908363017 10197561717 10845025953 12414494253 13111150779 15008567679 15961492611 18139025709 18290864667 20786180373 22105937857 25305060557 26725089051 30592685151 32535077859 37243482759 37283148923 42678684223 47884477833 54417077127 54872594001 62358541119 66317813571 75915181671 80175267153 91778055453 97605233577 111730448277 111849446769 128036052669 143653433499 154741564999 164617782003 187075623357 198953440713 227745545013 260982042461 292815700731 335191344831 335548340307 384108158007 408495977563 464224694997 493853346009 561226870071 596860322139 683236635039 782946127383 878447102193 1005574034493 1006645020921 1152324474021 1225487932689 1392674084991 1481560038027 1790580966417 2049709905117 2348838382149 2497970977841 2859471842941 3019935062763 3456973422063 3676463798067 4178022254973 4212995828299 5371742899251 6149129715351 7046515146447 7493912933523 8578415528823 9059805188289 10370920266189 11029391394201 12534066764919 12638987484897 17485796844887 21139545439341 22481738800569 25735246586469 29490970798093 33088174182603 37602200294757 37916962454691 52457390534661 63418636318023 67445216401707 77205739759407 88472912394279 99264522547809 113750887364073 157372171603983 202335649205121 231617219278221 265418737182837 282270720496033 341252662092219 472116514811949 607006947615363 694851657834663 796256211548511 846812161488099 1023757986276657 1416349544435847 1975895043472231 2388768634645533 2540436484464297 4249048633307541 5927685130416693 7166305903936599 7621309453392891 17783055391250079 22863928360178673 53349166173750237 68591785080536019 160047498521250711 480142495563752133
• Sum of all divisors σ(n): 842908413739205632
• Sum of proper divisors (its aliquot sum) s(n): 362765918175453499
• 480142495563752133 is a deficient number, because the sum of its proper divisors (362765918175453499) is less than itself. Its deficiency is 117376577388298634

Bases of 480142495563752133

• Binary: 11010101001110011110000111001001001101001011010001011000101₂
• Hexadecimal: 0x6A9CF0E49A5A2C5
• Base-36: 3NBOB5EASJB9

Squares and roots of 480142495563752133

• 480142495563752133 squared (480142495563752133²) is 230536816046187736718200137462049689
• 480142495563752133 cubed (480142495563752133³) is 110690522175738236927346689003699252905557773725736637
• The square root of 480142495563752133 is 692923152.7115774857
• The cube root of 480142495563752133 is 783050.9999113189

Scales and comparisons

• 480,142,495,563,752,133 seconds is equal to 15,267,046,180 years, 35 weeks, 15 hours, 35 minutes, 33 seconds.
• To count from 1 to 480,142,495,563,752,133 would take you about forty-five billion, eight hundred one million, one hundred thirty-eight thousand, five hundred forty-two 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 480142495563752133 cubic inches would be around 65254.2 feet tall.

Recreational maths with 480142495563752133

• 480142495563752133 backwards is 331257365594241084
• The number of decimal digits it has is: 18
• The sum of 480142495563752133's digits is 72
• More coming soon!