137878306992628393352

Names of 137878306992628393352

• Cardinal: 137878306992628393352 can be written as One hundred thirty-seven quintillion, eight hundred seventy-eight quadrillion, three hundred six trillion, nine hundred ninety-two billion, six hundred twenty-eight million, three hundred ninety-three thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 1.37878306992628393352 × 10²⁰

Factors of 137878306992628393352

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 80

Divisors of 137878306992628393352

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 4 7 8 14 28 49 56 71 98 142 196 284 343 392 497 568 686 994 1372 1988 2401 2744 3479 3976 4802 5041 6958 9604 10082 13916 16807 19208 20164 24353 27832 33614 35287 40328 48706 67228 70574 97412 117649 134456 141148 170471 194824 235298 247009 282296 340942 357911 470596 494018 681884 715822 823543 941192 988036 1193297 1363768 1431644 1647086 1729063 1976072 2386594 2505377 2863288 3294172 3458126 4773188 5010754 5764801 6588344 6916252 8353079 9546376 10021508 11529602 12103441 13832504 16706158 17537639 20043016 23059204 24206882 25411681 33412316 35075278 40353607 46118408 48413764 50823362 58471553 66824632 70150556 80707214 84724087 96827528 101646724 116943106 122763473 140301112 161414428 169448174 177881767 203293448 233886212 245526946 282475249 322828856 338896348 355763534 409300871 467772424 491053892 564950498 593068609 677792696 711527068 818601742 859344311 982107784 1129900996 1186137218 1245172369 1423054136 1637203484 1718688622 1977326743 2259801992 2372274436 2490344738 2865106097 3274406968 3437377244 3954653486 4151480263 4744548872 4980689476 5730212194 6015410177 6874754488 7909306972 8302960526 8716206583 9961378952 11460424388 12030820354 13841287201 15818613944 16605921052 17432413166 20055742679 22920848776 24061640708 27682574402 29060361841 33211842104 34864826332 40111485358 42107871239 48123281416 55365148804 58120723682 61013446081 69729652664 80222970716 84215742478 96889010407 110730297608 116241447364 122026892162 140390198753 160445941432 168431484956 193778020814 203422532887 232482894728 244053784324 280780397506 294755098673 336862969912 387556041628 406845065774 427094122567 488107568648 561560795012 589510197346 678223072849 775112083256 813690131548 854188245134 982731391271 1123121590024 1179020394692 1356446145698 1423957730209 1627380263096 1708376490268 1965462782542 2063285690711 2358040789384 2712892291396 2847915460418 2989658857969 3416752980536 3930925565084 4126571381422 5425784582792 5695830920836 5979317715938 6879119738897 7861851130168 8253142762844 9967704111463 11391661841672 11958635431876 13758239477794 14442999834977 16506285525688 19935408222926 20927612005783 23917270863752 27516478955588 28885999669954 39870816445852 41855224011566 48153838172279 55032957911176 57771999339908 69773928780241 79741632891704 83710448023132 96307676344558 101100998844839 115543998679816 139547857560482 146493284040481 167420896046264 192615352689116 202201997689678 279095715120964 292986568080962 385230705378232 404403995379356 488417501461687 558191430241928 585973136161924 707706991913873 808807990758712 976835002923374 1025452988283367 1171946272323848 1415413983827746 1953670005846748 2050905976566734 2830827967655492 3418922510231809 3907340011693496 4101811953133468 4953948943397111 5661655935310984 6837845020463618 7178170917983569 8203623906266936 9907897886794222 13675690040927236 14356341835967138 19815795773588444 27351380081854472 28712683671934276 34677642603779777 39631591547176888 50247196425884983 57425367343868552 69355285207559554 100494392851769966 138710570415119108 200988785703539932 242743498226458439 277421140830238216 351730374981194881 401977571407079864 485486996452916878 703460749962389762 970973992905833756 1406921499924779524 1941947985811667512 2462112624868364167 2813842999849559048 4924225249736728334 9848450499473456668 17234788374078549169 19696900998946913336 34469576748157098338 68939153496314196676 137878306992628393352
• Sum of all divisors σ(n): 305917493470274042775
• Sum of proper divisors (its aliquot sum) s(n): 168039186477645649423
• 137878306992628393352 is an abundant number, because the sum of its proper divisors (168039186477645649423) is greater than itself. Its abundance is 30160879485017256071

Bases of 137878306992628393352

• Binary: 1110111100101110010001001011011001011111111110111110110010110001000₂
• Hexadecimal: 0x7797225B2FFDF6588
• Base-36: T3J90PRVUUIYW

Squares and roots of 137878306992628393352

• 137878306992628393352 squared (137878306992628393352²) is 19010427539153479711061970712572837795904
• 137878306992628393352 cubed (137878306992628393352³) is 2621125564304520601691127622602728947040071826247488406430208
• The square root of 137878306992628393352 is 11742159383.7176470747
• The cube root of 137878306992628393352 is 5166129.8037619749

Scales and comparisons

• 137,878,306,992,628,393,352 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,878,306,992,628,393,352 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137878306992628393352 cubic inches would be around 430510.8 feet tall.

Recreational maths with 137878306992628393352

• 137878306992628393352 backwards is 253393826299603878731
• The number of decimal digits it has is: 21
• The sum of 137878306992628393352's digits is 104
• More coming soon!