13680900118544400

Names of 13680900118544400

• Cardinal: 13680900118544400 can be written as Thirteen quadrillion, six hundred eighty trillion, nine hundred billion, one hundred eighteen million, five hundred forty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.36809001185444 × 10¹⁶

Factors of 13680900118544400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 278506

Divisors of 13680900118544400

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 98 100 105 112 120 126 140 144 147 150 168 175 180 196 200 210 225 240 245 252 280 294 300 315 336 350 360 392 400 420 441 450 490 504 525 560 588 600 630 700 720 735 784 840 882 900 980 1008 1050 1176 1200 1225 1260 1400 1470 1575 1680 1764 1800 1960 2100 2205 2352 2450 2520 2800 2940 3150 3528 3600 3675 3920 4200 4410 4900 5040 5880 6300 7056 7350 8400 8820 9800 11025 11760 12600 14700 17640 19600 22050 25200 29400 35280 44100 58800 88200 176400 278489 556978 835467 1113956 1392445 1670934 1949423 2227912 2506401 2784890 3341868 3898846 4177335 4455824 5012802 5569780 5848269 6683736 6962225 7797692 8354670 9747115 10025604 11139560 11696538 12532005 13367472 13645961 13924450 15595384 16709340 17544807 19494230 20051208 20886675 22279120 23393076 25064010 27291922 27848900 29241345 31190768 33418680 35089614 38988460 40102416 40937883 41773350 46786152 48735575 50128020 54583844 55697800 58482690 62660025 66837360 68229805 70179228 77976920 81875766 83546700 87724035 93572304 97471150 100256040 109167688 111395600 116965380 122813649 125320050 136459610 140358456 146206725 155953840 163751532 167093400 175448070 194942300 200512080 204689415 218335376 233930760 245627298 250640100 272919220 280716912 292413450 327503064 334186800 341149025 350896140 389884600 409378830 438620175 467861520 491254596 501280200 545838440 584826900 614068245 655006128 682298050 701792280 779769200 818757660 877240350 982509192 1002560400 1023447075 1091676880 1169653800 1228136490 1364596100 1403584560 1637515320 1754480700 1965018384 2046894150 2339307600 2456272980 2729192200 3070341225 3275030640 3508961400 4093788300 4912545960 5458384400 6140682450 7017922800 8187576600 9825091920 12281364900 16375153200 24562729800 49125459600 77556123121 155112246242 232668369363 310224492484 387780615605 465336738726 542892861847 620448984968 698005108089 775561231210 930673477452 1085785723694 1163341846815 1240897969936 1396010216178 1551122462420 1628678585541 1861346954904 1938903078025 2171571447388 2326683693630 2714464309235 2792020432356 3102244924840 3257357171082 3490025540445 3722693909808 3800250032929 3877806156050 4343142894776 4653367387260 4886035756623 5428928618470 5584040864712 5816709234075 6204489849680 6514714342164 6980051080890 7600500065858 7755612312100 8143392927705 8686285789552 9306734774520 9772071513246 10857857236940 11168081729424 11400750098787 11633418468150 13029428684328 13572321546175 13960102161780 15201000131716 15511224624200 16286785855410 17450127702225 18613469549040 19001250164645 19544143026492 21715714473880 22801500197574 23266836936300 24430178783115 26058857368656 27144643092350 27920204323560 30402000263432 31022449248400 32573571710820 34202250296361 34900255404450 38002500329290 39088286052984 40716964638525 43431428947760 45603000395148 46533673872600 48860357566230 54289286184700 55840408647120 57003750493935 60804000526864 65147143421640 68404500592722 69800510808900 76005000658580 78176572105968 81433929277050 91206000790296 93067347745200 95006250823225 97720715132460 108578572369400 114007500987870 122150893915575 130294286843280 136809001185444 139601021617800 152010001317160 162867858554100 171011251481805 182412001580592 190012501646450 195441430264920 217157144738800 228015001975740 244301787831150 273618002370888 279202043235600 285018752469675 304020002634320 325735717108200 342022502963610 380025003292900 390882860529840 456030003951480 488603575662300 547236004741776 570037504939350 651471434216400 684045005927220 760050006585800 855056257409025 912060007902960 977207151324600 1140075009878700 1368090011854440 1520100013171600 1710112514818050 1954414302649200 2280150019757400 2736180023708880 3420225029636100 4560300039514800 6840450059272200 13680900118544400
• Sum of all divisors σ(n): 55227991143594711
• Sum of proper divisors (its aliquot sum) s(n): 41547091025050311
• 13680900118544400 is an abundant number, because the sum of its proper divisors (41547091025050311) is greater than itself. Its abundance is 27866190906505911

Bases of 13680900118544400

• Binary: 110000100110101011010011000111110001100000000000010000₂
• Hexadecimal: 0x309AB4C7C60010
• Base-36: 3QPH2R07HG0

Squares and roots of 13680900118544400

• 13680900118544400 squared (13680900118544400²) is 187167028053588177972774771360000
• 13680900118544400 cubed (13680900118544400³) is 2560613416285937544423512774374825606008384000000
• 13680900118544400 is a perfect square number. Its square root is 116965380
• The cube root of 13680900118544400 is 239169.0016810691

Scales and comparisons

• 13,680,900,118,544,400 seconds is equal to 435,010,305 years, 50 weeks, 2 days, 1 hour.
• To count from 1 to 13,680,900,118,544,400 would take you about one billion, three hundred five million, thirty thousand, nine hundred seventeen 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 13680900118544400 cubic inches would be around 19930.8 feet tall.

Recreational maths with 13680900118544400

• 13680900118544400 backwards is 00444581100908631
• The number of decimal digits it has is: 17
• The sum of 13680900118544400's digits is 54
• More coming soon!