135589503956944000

Names of 135589503956944000

• Cardinal: 135589503956944000 can be written as One hundred thirty-five quadrillion, five hundred eighty-nine trillion, five hundred three billion, nine hundred fifty-six million, nine hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.35589503956944 × 10¹⁷

Factors of 135589503956944000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 765

Divisors of 135589503956944000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 337 400 421 500 640 674 800 842 1000 1348 1600 1684 1685 2000 2105 2696 3200 3368 3370 4000 4210 5392 6736 6740 8000 8420 8425 10525 10784 13472 13480 16000 16840 16850 21050 21568 26944 26960 33680 33700 42100 42125 43136 52625 53888 53920 67360 67400 84200 84250 105250 107840 113569 134720 134800 141877 168400 168500 177241 210500 215680 227138 269440 269600 283754 336800 337000 354482 421000 454276 539200 567508 567845 673600 674000 708964 709385 842000 886205 908552 1078400 1135016 1135690 1347200 1348000 1417928 1418770 1684000 1772410 1817104 2270032 2271380 2696000 2835856 2837540 2839225 3368000 3544820 3546925 3634208 4431025 4540064 4542760 5392000 5671712 5675080 5678450 6736000 7089640 7093850 7268416 8862050 9080128 9085520 11343424 11350160 11356900 14179280 14187700 14196125 14536832 17724100 17734625 18160256 18171040 22155125 22686848 22700320 22713800 28358560 28375400 28392250 35448200 35469250 36342080 44310250 45400640 45427600 47812549 56717120 56750800 56784500 59730217 70896400 70938500 72684160 74618461 88620500 90801280 90855200 95625098 113434240 113501600 113569000 119460434 141792800 141877000 149236922 177241000 181710400 191250196 227003200 227138000 238920868 239062745 283585600 283754000 298473844 298651085 354482000 363420800 373092305 382500392 454006400 454276000 477841736 478125490 567171200 567508000 596947688 597302170 708964000 746184610 765000784 908552000 955683472 956250980 1135016000 1193895376 1194604340 1195313725 1417928000 1492369220 1493255425 1530001568 1817104000 1865461525 1911366944 1912501960 2270032000 2387790752 2389208680 2390627450 2835856000 2984738440 2986510850 3060003136 3730923050 3822733888 3825003920 4775581504 4778417360 4781254900 5969476880 5973021700 5976568625 6120006272 7461846100 7466277125 7645467776 7650007840 9327307625 9551163008 9556834720 9562509800 11938953760 11946043400 11953137250 14923692200 14932554250 15300015680 18654615250 19113669440 19125019600 20129083129 23877907520 23892086800 23906274500 25146421357 29847384400 29865108500 30600031360 37309230500 38227338880 38250039200 40258166258 47755815040 47784173600 47812549000 50292842714 59694768800 59730217000 74618461000 76500078400 80516332516 95568347200 95625098000 100585685428 100645415645 119389537600 119460434000 125732106785 149236922000 153000156800 161032665032 191136694400 191250196000 201171370856 201290831290 238779075200 238920868000 251464213570 298473844000 322065330064 382500392000 402342741712 402581662580 477841736000 502928427140 503227078225 596947688000 628660533925 644130660128 765000784000 804685483424 805163325160 955683472000 1005856854280 1006454156450 1193895376000 1257321067850 1288261320256 1609370966848 1610326650320 2011713708560 2012908312900 2514642135700 2516135391125 2576522640512 3143302669625 3218741933696 3220653300640 4023427417120 4025816625800 5029284271400 5032270782250 6286605339250 6441306601280 8046854834240 8051633251600 8474343997309 10058568542800 10064541564500 12573210678500 12882613202560 16093709668480 16103266503200 16948687994618 20117137085600 20129083129000 25146421357000 32206533006400 33897375989236 40234274171200 40258166258000 42371719986545 50292842714000 64413066012800 67794751978472 80468548342400 80516332516000 84743439973090 100585685428000 135589503956944 161032665032000 169486879946180 201171370856000 211858599932725 271179007913888 322065330064000 338973759892360 402342741712000 423717199865450 542358015827776 677947519784720 847434399730900 1059292999663625 1084716031655552 1355895039569440 1694868799461800 2118585999327250 2711790079138880 3389737598923600 4237171998654500 5423580158277760 6779475197847200 8474343997309000 13558950395694400 16948687994618000 27117900791388800 33897375989236000 67794751978472000 135589503956944000
• Sum of all divisors σ(n): 338917727397497040
• Sum of proper divisors (its aliquot sum) s(n): 203328223440553040
• 135589503956944000 is an abundant number, because the sum of its proper divisors (203328223440553040) is greater than itself. Its abundance is 67738719483609040

Bases of 135589503956944000

• Binary: 111100001101101011110111101111010101000000000010010000000₂
• Hexadecimal: 0x1E1B5EF7AA00480
• Base-36: 1132GU7IPRB4

Squares and roots of 135589503956944000

• 135589503956944000 squared (135589503956944000²) is 18384513583290132633405819136000000
• 135589503956944000 cubed (135589503956944000³) is 2492747077248008155015568896700027595280384000000000
• The square root of 135589503956944000 is 368224800.8444624035
• The cube root of 135589503956944000 is 513738.3942781619

Scales and comparisons

• 135,589,503,956,944,000 seconds is equal to 4,311,326,819 years, 49 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 135,589,503,956,944,000 would take you about twelve billion, nine hundred thirty-three million, nine hundred eighty thousand, four hundred fifty-nine 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 135589503956944000 cubic inches would be around 42811.5 feet tall.

Recreational maths with 135589503956944000

• 135589503956944000 backwards is 000449659305985531
• The number of decimal digits it has is: 18
• The sum of 135589503956944000's digits is 76
• More coming soon!