13685924734705440

Names of 13685924734705440

• Cardinal: 13685924734705440 can be written as Thirteen quadrillion, six hundred eighty-five trillion, nine hundred twenty-four billion, seven hundred thirty-four million, seven hundred five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.368592473470544 × 10¹⁶

Factors of 13685924734705440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 52753631

Divisors of 13685924734705440

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 360 392 420 441 480 490 504 560 588 630 672 720 735 784 840 882 980 1008 1120 1176 1260 1440 1470 1568 1680 1764 1960 2016 2205 2352 2520 2940 3360 3528 3677 3920 4410 4704 5040 5880 7056 7354 7840 8820 10080 11031 11760 14112 14708 17640 18385 22062 23520 25739 29416 33093 35280 36770 44124 51478 55155 58832 66186 70560 73540 77217 88248 102956 110310 117664 128695 132372 147080 154434 165465 176496 180173 205912 220620 231651 257390 264744 294160 308868 330930 352992 360346 386085 411824 441240 463302 514780 529488 540519 588320 617736 661860 720692 772170 823648 882480 900865 926604 1029560 1058976 1081038 1158255 1235472 1323720 1441384 1544340 1621557 1764960 1801730 1853208 2059120 2162076 2316510 2470944 2647440 2702595 2882768 3088680 3243114 3603460 3706416 4118240 4324152 4633020 5294880 5405190 5765536 6177360 6486228 7206920 7412832 8107785 8648304 9266040 10810380 12354720 12972456 14413840 16215570 17296608 18532080 21620760 25944912 28827680 32431140 37064160 43241520 51889824 52749937 64862280 86483040 105499874 129724560 158249811 210999748 259449120 263749685 316499622 369249559 421999496 474749433 527499370 632999244 738499118 791249055 843998992 949498866 1054998740 1107748677 1265998488 1476998236 1582498110 1687997984 1846247795 1898997732 2109997480 2215497354 2373747165 2531996976 2584746913 2953996472 3164996220 3323246031 3692495590 3797995464 4219994960 4430994708 4747494330 5063993952 5169493826 5538743385 5907992944 6329992440 6646492062 7384991180 7595990928 7754240739 8439989920 8861989416 9494988660 10338987652 11077486770 11815985888 12659984880 12923734565 13292984124 14769982360 15191981856 15508481478 16616230155 17723978832 18989977320 20677975304 22154973540 23262722217 25319969760 25847469130 26585968248 29539964720 31016962956 33232460310 35447957664 37979954640 38771203695 41355950608 44309947080 46525444434 51694938260 53171936496 59079929440 62033925912 66464920620 75959909280 77542407390 82711901216 88619894160 93050888868 103389876520 106343872992 116313611085 124067851824 132929841240 155084814780 177239788320 186101777736 193961518349 206779753040 232627222170 248135703648 265859682480 310169629560 372203555472 387923036698 413559506080 465254444340 531719364960 581884555047 620339259120 744407110944 775846073396 930508888680 969807591745 1163769110094 1240678518240 1357730628443 1551692146792 1745653665141 1861017777360 1939615183490 2327538220188 2715461256886 2909422775235 3103384293584 3491307330282 3722035554720 3879230366980 4073191885329 4655076440376 5430922513772 5818845550470 6206768587168 6788653142215 6982614660564 7758460733960 8146383770658 8728268325705 9310152880752 9504114399101 10861845027544 11637691100940 12219575655987 13577306284430 13965229321128 15516921467920 16292767541316 17456536651410 18620305761504 19008228798202 20365959426645 21723690055088 23275382201880 24439151311974 27154612568860 27930458642256 28512343197303 31033842935840 32585535082632 34913073302820 38016457596404 40731918853290 43447380110176 46550764403760 47520571995505 48878302623948 54309225137720 55860917284512 57024686394606 61097878279935 65171070165264 69826146605640 76032915192808 81463837706580 85537029591909 93101528807520 95041143991010 97756605247896 108618450275440 114049372789212 122195756559870 130342140330528 139652293211280 142561715986515 152065830385616 162927675413160 171074059183818 190082287982020 195513210495792 217236900550880 228098745578424 244391513119740 279304586422560 285123431973030 304131660771232 325855350826320 342148118367636 380164575964040 391026420991584 427685147959545 456197491156848 488783026239480 570246863946060 651710701652640 684296236735272 760329151928080 855370295919090 912394982313696 977566052478960 1140493727892120 1368592473470544 1520658303856160 1710740591838180 1955132104957920 2280987455784240 2737184946941088 3421481183676360 4561974911568480 6842962367352720 13685924734705440
• Sum of all divisors σ(n): 54343009548572472
• Sum of proper divisors (its aliquot sum) s(n): 40657084813867032
• 13685924734705440 is an abundant number, because the sum of its proper divisors (40657084813867032) is greater than itself. Its abundance is 26971160079161592

Bases of 13685924734705440

• Binary: 110000100111110100011010101010001111000001111100100000₂
• Hexadecimal: 0x309F46AA3C1F20
• Base-36: 3QR970YXS80

Squares and roots of 13685924734705440

• 13685924734705440 squared (13685924734705440²) is 187304535844022168245203565593600
• 13685924734705440 cubed (13685924734705440³) is 2563435780030224670197147853589338035414749184000
• The square root of 13685924734705440 is 116986857.1024345453
• The cube root of 13685924734705440 is 239198.2781499573

Scales and comparisons

• 13,685,924,734,705,440 seconds is equal to 435,170,073 years, 11 weeks, 2 days, 16 hours, 24 minutes.
• To count from 1 to 13,685,924,734,705,440 would take you about one billion, three hundred five million, five hundred ten thousand, two 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 13685924734705440 cubic inches would be around 19933.2 feet tall.

Recreational maths with 13685924734705440

• 13685924734705440 backwards is 04450743742958631
• 13685924734705440 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13685924734705440's digits is 72
• More coming soon!