131330970259614801

Names of 131330970259614801

• Cardinal: 131330970259614801 can be written as One hundred thirty-one quadrillion, three hundred thirty trillion, nine hundred seventy billion, two hundred fifty-nine million, six hundred fourteen thousand, eight hundred one.

Scientific notation

• Scientific notation: 1.31330970259614801 × 10¹⁷

Factors of 131330970259614801

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 172

Divisors of 131330970259614801

• Number of divisors d(n): 315
• Complete list of divisors:
  1 3 9 13 27 29 39 81 87 117 127 169 261 351 377 381 507 783 841 1053 1131 1143 1521 1651 2349 2523 3393 3429 3683 4563 4901 4953 7569 10179 10287 10933 11049 13689 14703 14859 16129 21463 22707 24389 30537 32799 33147 44109 44577 47879 48387 64389 68121 73167 98397 99441 106807 132327 133731 142129 143637 145161 193167 209677 219501 295191 298323 317057 320421 396981 426387 430911 435483 467741 579501 622427 629031 658503 707281 885573 951171 961263 1279161 1292733 1306449 1388491 1403223 1738503 1867281 1887093 1975509 2121843 2725801 2853513 2883789 3097403 3837483 3878199 4121741 4165473 4209669 5601843 5661279 6080633 6365529 8177403 8560539 8651367 9194653 9292209 11512449 12365223 12496419 12629007 13564489 16805529 16983837 18050383 18241899 19096587 20511149 24532209 25681617 27583959 27876627 37095669 37489257 37887021 40266239 40693467 50416587 54151149 54725697 57289761 61533447 73596627 79048229 82751877 83629881 89824687 111287007 112467771 119530489 120798717 122080401 162453447 164177091 176338357 184600341 220789881 237144687 248255631 250889643 266644937 269474061 333861021 358591467 362396151 366241203 393370181 487360341 492531273 523461107 529015071 553801023 594823321 711434061 744766893 799934811 808422183 1075774401 1087188453 1098723609 1167720931 1180110543 1462081023 1570383321 1587045213 1661403069 1784469963 2134302183 2292398641 2399804433 2425266549 2604915923 3227323203 3261565359 3466384181 3503162793 3540331629 4711149963 4761135639 5113812353 5353409889 6402906549 6877195923 7199413299 7275799647 7732703173 7814747769 9681969609 10399152543 10509488379 10620994887 11407735249 14133449889 14283406917 15180372103 15341437059 16060229667 20631587769 21598239897 23198109519 23444243307 31197457629 31528465137 31862984661 33863906999 34223205747 42400349667 45541116309 46024311177 48180689001 61894763307 66479560589 69594328557 70332729921 75542561767 93592372887 94585395411 100525141249 101591720997 102669617241 136623348927 138072933531 148300558237 185684289921 199438681767 208782985671 210998189763 226627685301 280777118661 301575423747 304775162991 308008851723 330824322221 409870046781 414218800593 440230790987 444901674711 598316045301 626348957013 679883055903 904726271241 914325488973 924026555169 982053302971 992472966663 1229610140343 1320692372961 1334705024133 1794948135903 1927907257081 2039649167709 2714178813723 2742976466919 2946159908913 2977418899989 3962077118883 4004115072399 4300716188873 5384844407709 5783721771243 6118947503127 8142536441169 8838479726739 8932256699967 9593905344409 11886231356649 12012345217197 12766692938623 12902148566619 17351165313729 26515439180217 26796770099901 28781716033227 35658694069947 38300078815869 38706445699857 52053495941187 55909310455349 79546317540651 86345148099681 114900236447607 116119337099571 124720769477317 156160487823561 167727931366047 259035444299043 344700709342821 348358011298713 374162308431951 503183794098141 777106332897129 1034102128028463 1122486925295853 1509551382294423 1621370003205121 3367460775887559 4528654146883269 4864110009615363 10102382327662677 14592330028846089 43776990086538267 131330970259614801
• Sum of all divisors σ(n): 221771033152083261
• Sum of proper divisors (its aliquot sum) s(n): 90440062892468460
• 131330970259614801 is a deficient number, because the sum of its proper divisors (90440062892468460) is less than itself. Its deficiency is 40890907367146341

Bases of 131330970259614801

• Binary: 111010010100101001101001001010110010101001110110001010001₂
• Hexadecimal: 0x1D294D25654EC51
• Base-36: ZX4XYU3EO29

Squares and roots of 131330970259614801

• 131330970259614801 squared (131330970259614801²) is 17247823749331827350773784898269601
• 131330970259614801 cubed (131330970259614801³) is 2265173427866576068215507661898591383224037707964401
• 131330970259614801 is a perfect square number. Its square root is 362396151
• The cube root of 131330970259614801 is 508302.6621649477

Scales and comparisons

• 131,330,970,259,614,801 seconds is equal to 4,175,918,620 years, 46 weeks, 2 days, 19 hours, 13 minutes, 21 seconds.
• To count from 1 to 131,330,970,259,614,801 would take you about twelve billion, five hundred twenty-seven million, seven hundred fifty-five thousand, eight hundred sixty-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 131330970259614801 cubic inches would be around 42358.6 feet tall.

Recreational maths with 131330970259614801

• 131330970259614801 backwards is 108416952079033131
• The number of decimal digits it has is: 18
• The sum of 131330970259614801's digits is 63
• More coming soon!