138736257855321600

Names of 138736257855321600

• Cardinal: 138736257855321600 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-six trillion, two hundred fifty-seven billion, eight hundred fifty-five million, three hundred twenty-one thousand, six hundred.

Scientific notation

• Scientific notation: 1.387362578553216 × 10¹⁷

Factors of 138736257855321600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 189333174

Divisors of 138736257855321600

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1152 1200 1280 1440 1536 1600 1800 1920 2304 2400 2560 2880 3200 3600 3840 4608 4800 5760 6361 6400 7200 7680 9600 11520 12722 12800 14400 19083 19200 23040 25444 28800 31805 38166 38400 50888 57249 57600 63610 76332 95415 101776 114498 115200 127220 152664 159025 190830 203552 228996 254440 286245 305328 318050 381660 407104 457992 477075 508880 572490 610656 636100 763320 814208 915984 954150 1017760 1144980 1221312 1272200 1431225 1526640 1628416 1831968 1908300 2035520 2289960 2442624 2544400 2862450 3053280 3256832 3663936 3816600 4071040 4579920 4885248 5088800 5724900 6106560 7327872 7633200 8142080 9159840 9770496 10177600 11449800 12213120 14655744 15266400 16284160 18319680 20355200 22899600 24426240 29311488 30532800 36639360 40710400 45799200 48852480 61065600 73278720 81420800 91598400 122131200 146557440 183196800 189326803 244262400 366393600 378653606 567980409 732787200 757307212 946634015 1135960818 1514614424 1703941227 1893268030 2271921636 2839902045 3029228848 3407882454 3786536060 4543843272 4733170075 5679804090 6058457696 6815764908 7573072120 8519706135 9087686544 9466340150 11359608180 12116915392 13631529816 14199510225 15146144240 17039412270 18175373088 18932680300 22719216360 24233830784 27263059632 28399020450 30292288480 34078824540 36350746176 37865360600 42598530675 45438432720 48467661568 54526119264 56798040900 60584576960 68157649080 72701492352 75730721200 85197061350 90876865440 96935323136 109052238528 113596081800 121169153920 136315298160 145402984704 151461442400 170394122700 181753730880 218104477056 227192163600 242338307840 272630596320 290805969408 302922884800 340788245400 363507461760 436208954112 454384327200 484676615680 545261192640 605845769600 681576490800 727014923520 872417908224 908768654400 1090522385280 1204307793883 1211691539200 1363152981600 1454029847040 1817537308800 2181044770560 2408615587766 2423383078400 2726305963200 3612923381649 3635074617600 4362089541120 4817231175532 5452611926400 6021538969415 7225846763298 7270149235200 9634462351064 10838770144947 10905223852800 12043077938830 14451693526596 18064616908245 19268924702128 21677540289894 21810447705600 24086155877660 28903387053192 30107694847075 36129233816490 38537849404256 43355080579788 48172311755320 54193850724735 57806774106384 60215389694150 72258467632980 77075698808512 86710161159576 90323084541225 96344623510640 108387701449470 115613548212768 120430779388300 144516935265960 154151397617024 173420322319152 180646169082450 192689247021280 216775402898940 231227096425536 240861558776600 270969253623675 289033870531920 308302795234048 346840644638304 361292338164900 385378494042560 433550805797880 462454192851072 481723117553200 541938507247350 578067741063840 616605590468096 693681289276608 722584676329800 770756988085120 867101611595760 924908385702144 963446235106400 1083877014494700 1156135482127680 1387362578553216 1445169352659600 1541513976170240 1734203223191520 1849816771404288 1926892470212800 2167754028989400 2312270964255360 2774725157106432 2890338705319200 3083027952340480 3468406446383040 3853784940425600 4335508057978800 4624541928510720 5549450314212864 5780677410638400 6936812892766080 7707569880851200 8671016115957600 9249083857021440 11561354821276800 13873625785532160 15415139761702400 17342032231915200 23122709642553600 27747251571064320 34684064463830400 46245419285107200 69368128927660800 138736257855321600
• Sum of all divisors σ(n): 496576826070951912
• Sum of proper divisors (its aliquot sum) s(n): 357840568215630312
• 138736257855321600 is an abundant number, because the sum of its proper divisors (357840568215630312) is greater than itself. Its abundance is 219104310360308712

Bases of 138736257855321600

• Binary: 111101100111000111110010000110110111011101111011000000000₂
• Hexadecimal: 0x1ECE3E436EEF600
• Base-36: 11Y1WCZR14W0

Squares and roots of 138736257855321600

• 138736257855321600 squared (138736257855321600²) is 19247749243698284362077439426560000
• 138736257855321600 cubed (138736257855321600³) is 2670360702208296489235063188012215600148381696000000
• The square root of 138736257855321600 is 372473163.9397952653
• The cube root of 138736257855321600 is 517682.3107482807

Scales and comparisons

• 138,736,257,855,321,600 seconds is equal to 4,411,383,860 years, 19 weeks, 4 days, 8 hours.
• To count from 1 to 138,736,257,855,321,600 would take you about thirteen billion, two hundred thirty-four million, one hundred fifty-one thousand, five hundred eighty-one 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 138736257855321600 cubic inches would be around 43140.2 feet tall.

Recreational maths with 138736257855321600

• 138736257855321600 backwards is 006123558752637831
• 138736257855321600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138736257855321600's digits is 72
• More coming soon!