137416784931745536

Names of 137416784931745536

• Cardinal: 137416784931745536 can be written as One hundred thirty-seven quadrillion, four hundred sixteen trillion, seven hundred eighty-four billion, nine hundred thirty-one million, seven hundred forty-five thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.37416784931745536 × 10¹⁷

Factors of 137416784931745536

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 861021

Divisors of 137416784931745536

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1279 1344 1792 2558 2688 3837 5116 5376 7674 8953 10232 15348 17906 20464 23911 26859 30696 35812 40928 47822 53718 61392 71624 71733 81856 95644 107436 122784 143248 143466 163712 167377 191288 214872 245568 286496 286932 327424 334754 382576 429744 491136 502131 572992 573864 669508 765152 835819 859488 982272 1004262 1145984 1147728 1339016 1530304 1671638 1718976 2008524 2291968 2295456 2507457 2678032 3060608 3343276 3437952 4017048 4590912 5014914 5356064 5850733 6121216 6686552 6875904 8034096 9181824 10029828 10712128 11701466 13373104 16068192 17552199 18363648 20059656 21424256 23402932 26746208 30582169 32136384 35104398 40119312 42848512 46805864 53492416 61164338 64272768 70208796 80238624 91746507 93611728 106984832 122328676 128545536 140417592 160477248 183493014 187223456 213969664 214075183 244657352 280835184 320954496 366986028 374446912 428150366 489314704 561670368 641908992 642225549 733972056 748893824 856300732 978629408 1069012501 1123340736 1284451098 1467944112 1497787648 1712601464 1957258816 2138025002 2246681472 2568902196 2935888224 3207037503 3425202928 3914517632 4276050004 4493362944 5137804392 5871776448 6414075006 6850405856 7483087507 7829035264 8552100008 10275608784 11743552896 12828150012 13700811712 14966175014 17104200016 19985268109 20551217568 22449262521 23487105792 25656300024 27401623424 29932350028 34208400032 39970536218 41102435136 44898525042 51312600048 54803246848 59864700056 59955804327 68416800064 79941072436 82204870272 89797050084 102625200096 119729400112 119911608654 136833600128 139896876763 159882144872 164409740544 179594100168 205250400192 239458800224 239823217308 273667200256 279793753526 319764289744 359188200336 410500800384 419690630289 478917600448 479646434616 559587507052 639528579488 718376400672 821001600768 839381260578 957835200896 959292869232 1119175014104 1279057158976 1436752801344 1678762521156 1915670401792 1918585738464 2238350028208 2558114317952 2873505602688 3357525042312 3837171476928 4476700056416 5116228635904 5747011205376 6715050084624 7674342953856 8953400112832 13430100169248 15348685907712 17906800225664 25561157911411 26860200338496 35813600451328 51122315822822 53720400676992 76683473734233 102244631645644 107440801353984 153366947468466 178928105379877 204489263291288 306733894936932 357856210759754 408978526582576 536784316139631 613467789873864 715712421519508 817957053165152 1073568632279262 1226935579747728 1431424843039016 1635914106330304 2147137264558524 2453871159495456 2862849686078032 3271828212660608 4294274529117048 4907742318990912 5725699372156064 6543656425321216 8588549058234096 9815484637981824 11451398744312128 17177098116468192 19630969275963648 22902797488624256 34354196232936384 45805594977248512 68708392465872768 137416784931745536
• Sum of all divisors σ(n): 418320847922790400
• Sum of proper divisors (its aliquot sum) s(n): 280904062991044864
• 137416784931745536 is an abundant number, because the sum of its proper divisors (280904062991044864) is greater than itself. Its abundance is 143487278059299328

Bases of 137416784931745536

• Binary: 111101000001100111101011001111100000010000110111100000000₂
• Hexadecimal: 0x1E833D67C086F00
• Base-36: 11L26NI045XC

Squares and roots of 137416784931745536

• 137416784931745536 squared (137416784931745536²) is 18883372780977606995102191855927296
• 137416784931745536 cubed (137416784931745536³) is 2594892376229577422582637989841361479711877188550656
• The square root of 137416784931745536 is 370697700.1975403893
• The cube root of 137416784931745536 is 516035.9139763581

Scales and comparisons

• 137,416,784,931,745,536 seconds is equal to 4,369,428,702 years, 41 weeks, 6 days, 3 hours, 5 minutes, 36 seconds.
• To count from 1 to 137,416,784,931,745,536 would take you about thirteen billion, one hundred eight million, two hundred eighty-six thousand, one hundred 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 137416784931745536 cubic inches would be around 43003 feet tall.

Recreational maths with 137416784931745536

• 137416784931745536 backwards is 635547139487614731
• 137416784931745536 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137416784931745536's digits is 84
• More coming soon!