642142219735536

Names of 642142219735536

• Cardinal: 642142219735536 can be written as Six hundred forty-two trillion, one hundred forty-two billion, two hundred nineteen million, seven hundred thirty-five thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 6.42142219735536 × 10¹⁴

Factors of 642142219735536

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 516

Divisors of 642142219735536

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 169 178 208 267 312 338 356 409 507 534 624 676 712 818 1014 1068 1157 1227 1352 1424 1636 2028 2136 2197 2314 2454 2704 3272 3471 4056 4272 4394 4628 4908 5317 6544 6591 6942 8112 8788 9256 9816 10634 13182 13884 15041 15951 17576 18512 19632 21268 26364 27768 30082 31902 35152 36401 42536 45123 52728 55536 60164 63804 69121 72802 85072 90246 105456 109203 120328 127608 138242 145604 167281 180492 195533 207363 218406 240656 255216 276484 291208 334562 360984 391066 414726 436812 473213 501843 552968 582416 586599 669124 721968 782132 829452 873624 898573 946426 1003686 1105936 1173198 1338248 1419639 1564264 1658904 1747248 1797146 1892852 2007372 2174653 2346396 2676496 2695719 2839278 3128528 3317808 3594292 3785704 4014744 4349306 4692792 5391438 5678556 6151769 6523959 7188584 7571408 8029488 8698612 9385584 10782876 11357112 12303538 13047918 14377168 14888009 17397224 18455307 21565752 22714224 24607076 26095836 28270489 29776018 34794448 36910614 43131504 44664027 49214152 52191672 56540978 59552036 68417929 73821228 79972997 84811467 89328054 98428304 104383344 113081956 119104072 136835858 147642456 159945994 169622934 178656108 193544117 205253787 226163912 238208144 239918991 273671716 295284912 319891988 339245868 357312216 367516357 387088234 410507574 452327824 479837982 547343432 580632351 639783976 678491736 714624432 735032714 774176468 821015148 889433077 959675964 1094686864 1102549071 1161264702 1279567952 1356983472 1470065428 1548352936 1642030296 1778866154 1919351928 2205098142 2322529404 2516073521 2668299231 2940130856 3096705872 3284060592 3557732308 3838703856 4410196284 4645058808 5032147042 5336598462 5880261712 6089195681 7115464616 7548220563 8820392568 9290117616 10064294084 10673196924 11562630001 12178391362 14230929232 15096441126 17640785136 18267587043 20128588168 21346393848 23125260002 24356782724 30192882252 32708955773 34687890003 36535174086 40257176336 42692787696 46250520004 48713565448 60385764504 65417911546 69375780006 73070348172 79159543853 92501040008 97427130896 98126867319 120771529008 130835823092 138751560012 146140696344 150314190013 158319087706 185002080016 196253734638 237478631559 261671646184 277503120024 292281392688 300628380026 316638175412 392507469276 450942570039 474957263118 523343292368 555006240048 601256760052 633276350824 785014938552 901885140078 949914526236 1029074070089 1202513520104 1266552701648 1570029877104 1803770280156 1899829052472 2058148140178 2405027040208 3087222210267 3607540560312 3799658104944 4116296280356 6174444420534 7215081120624 8232592560712 12348888841068 13377962911157 16465185121424 24697777682136 26755925822314 40133888733471 49395555364272 53511851644628 80267777466942 107023703289256 160535554933884 214047406578512 321071109867768 642142219735536
• Sum of all divisors σ(n): 1821688935696000
• Sum of proper divisors (its aliquot sum) s(n): 1179546715960464
• 642142219735536 is an abundant number, because the sum of its proper divisors (1179546715960464) is greater than itself. Its abundance is 537404496224928

Bases of 642142219735536

• Binary: 10010010000000011001100010111001110001000111110000₂
• Hexadecimal: 0x2480662E711F0
• Base-36: 6BMC2A0CMO

Squares and roots of 642142219735536

• 642142219735536 squared (642142219735536²) is 412346630366881399929781207296
• 642142219735536 cubed (642142219735536³) is 264785180524257797374270626016303979913670656
• The square root of 642142219735536 is 25340525.2458495027
• The cube root of 642142219735536 is 86273.4320309571

Scales and comparisons

• 642,142,219,735,536 seconds is equal to 20,418,136 years, 16 weeks, 1 day, 7 hours, 25 minutes, 36 seconds.
• To count from 1 to 642,142,219,735,536 would take you about fifty-one million, forty-five thousand, three hundred forty 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 642142219735536 cubic inches would be around 7189.5 feet tall.

Recreational maths with 642142219735536

• 642142219735536 backwards is 635537912241246
• The number of decimal digits it has is: 15
• The sum of 642142219735536's digits is 60
• More coming soon!