131626538905501640

Names of 131626538905501640

• Cardinal: 131626538905501640 can be written as One hundred thirty-one quadrillion, six hundred twenty-six trillion, five hundred thirty-eight billion, nine hundred five million, five hundred one thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3162653890550164 × 10¹⁷

Factors of 131626538905501640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 3420786850

Divisors of 131626538905501640

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 20 22 26 28 31 35 40 44 52 55 56 62 65 70 77 88 91 104 110 124 130 140 143 154 155 182 217 220 248 260 280 286 308 310 341 364 385 403 434 440 455 520 572 616 620 682 715 728 770 806 868 910 961 1001 1085 1144 1240 1364 1430 1540 1612 1705 1736 1820 1922 2002 2015 2170 2387 2728 2821 2860 3080 3224 3410 3640 3844 4004 4030 4340 4433 4774 4805 5005 5642 5720 6727 6820 7688 8008 8060 8680 8866 9548 9610 10010 10571 11284 11935 12493 13454 13640 14105 16120 17732 19096 19220 20020 21142 22165 22568 23870 24986 26908 28210 31031 33635 35464 38440 40040 42284 44330 47740 49972 52855 53816 56420 62062 62465 67270 73997 84568 87451 88660 95480 99944 105710 112840 124124 124930 134540 137423 147994 155155 174902 177320 211420 248248 249860 269080 274846 295988 310310 349804 369985 422840 437255 499720 549692 591976 620620 687115 699608 739970 874510 961961 1099384 1241240 1374230 1479940 1749020 1923922 2748460 2959880 3498040 3847844 4809805 5496920 7695688 9619610 19239220 38478440 3420786781 6841573562 13683147124 17103933905 23945507467 27366294248 34207867810 37628654591 44470228153 47891014934 68415735620 75257309182 88940456306 95782029868 106044390211 119727537335 136831471240 150514618364 177880912612 188143272955 191564059736 212088780422 222351140765 239455074670 263400582137 301029236728 311291597071 355761825224 376286545910 424177560844 444702281530 478910149340 489172509683 526801164274 530221951055 622583194142 742310731477 752573091820 848355121688 889404563060 957820298680 978345019366 1053602328548 1060443902110 1166488292321 1245166388284 1317002910685 1378577072743 1484621462954 1505146183640 1556457985355 1778809126120 1956690038732 2107204657096 2120887804220 2332976584642 2445862548415 2490332776568 2634005821370 2757154145486 2969242925908 3112915970710 3287376096541 3424207567781 3711553657385 3913380077464 4241775608440 4665953169284 4891725096830 5268011642740 5514308290972 5832441461605 5938485851816 6225831941420 6574752193082 6848415135562 6892885363715 7423107314770 8165418046247 9331906338568 9650039509201 9783450193660 10536023285480 11028616581944 11664882923210 12451663882840 13149504386164 13696830271124 13785770727430 14846214629540 15164347800173 16330836092494 16436880482705 17121037838905 19300079018402 19566900387320 23011632675787 23329765846420 26299008772328 27393660542248 27571541454860 29692429259080 30328695600346 32661672184988 32873760965410 34242075677810 36161137061951 38600158036804 40827090231235 42735889255033 46023265351574 46659531692840 48250197546005 55143082909720 60657391200692 65323344369976 65747521930820 68484151355620 72322274123902 75821739000865 77200316073608 81654180462470 85471778510066 92046530703148 96500395092010 106150434601211 115058163378935 121314782401384 131495043861640 136968302711240 144644548247804 151643478001730 163308360924940 170943557020132 180805685309755 184093061406296 193000790184020 212300869202422 213679446275165 230116326757870 253127959433657 289289096495608 299151224785231 303286956003460 326616721849880 341887114040264 361611370619510 386001580368040 424601738404844 427358892550330 460232653515740 470094781805363 506255918867314 530752173006055 598302449570462 606573912006920 723222741239020 849203476809688 854717785100660 920465307031480 940189563610726 1012511837734628 1061504346012110 1196604899140924 1265639797168285 1446445482478040 1495756123926155 1709435570201320 1880379127221452 2025023675469256 2123008692024220 2350473909026815 2393209798281848 2531279594336570 2991512247852310 3290663472637541 3760758254442904 4246017384048440 4700947818053630 5062559188673140 5983024495704620 6581326945275082 9401895636107260 10125118377346280 11966048991409240 13162653890550164 16453317363187705 18803791272214520 26325307781100328 32906634726375410 65813269452750820 131626538905501640
• Sum of all divisors σ(n): 410881920566664960
• Sum of proper divisors (its aliquot sum) s(n): 279255381661163320
• 131626538905501640 is an abundant number, because the sum of its proper divisors (279255381661163320) is greater than itself. Its abundance is 147628842755661680

Bases of 131626538905501640

• Binary: 111010011101000011010001111000110011110011111111111001000₂
• Hexadecimal: 0x1D3A1A3C679FFC8
• Base-36: 1001PP73T8LK

Squares and roots of 131626538905501640

• 131626538905501640 squared (131626538905501640²) is 17325545744241536872977860042689600
• 131626538905501640 cubed (131626538905501640³) is 2280501620963457019695153662669688208950702810944000
• The square root of 131626538905501640 is 362803719.5309629677
• The cube root of 131626538905501640 is 508683.6988770475

Scales and comparisons

• 131,626,538,905,501,640 seconds is equal to 4,185,316,789 years, 30 weeks, 6 hours, 27 minutes, 20 seconds.
• To count from 1 to 131,626,538,905,501,640 would take you about twelve billion, five hundred fifty-five million, nine hundred fifty thousand, three hundred sixty-eight 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 131626538905501640 cubic inches would be around 42390.3 feet tall.

Recreational maths with 131626538905501640

• 131626538905501640 backwards is 046105509835626131
• 131626538905501640 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 131626538905501640's digits is 65
• More coming soon!