137327514912

Names of 137327514912

• Cardinal: 137327514912 can be written as One hundred thirty-seven billion, three hundred twenty-seven million, five hundred fourteen thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.37327514912 × 10¹¹

Factors of 137327514912

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 903

Divisors of 137327514912

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 181 189 216 224 252 288 331 336 362 378 379 432 504 543 662 672 724 756 758 864 993 1008 1086 1137 1267 1324 1448 1512 1516 1629 1986 2016 2172 2274 2317 2534 2648 2653 2896 2979 3024 3032 3258 3411 3801 3972 4344 4548 4634 4887 5068 5296 5306 5792 5958 6048 6064 6516 6822 6951 7602 7944 7959 8688 8937 9096 9268 9774 10136 10233 10592 10612 11403 11916 12128 13032 13644 13902 15204 15888 15918 17376 17874 18192 18536 19548 20272 20466 20853 21224 22806 23832 23877 26064 27288 27804 30408 31776 31836 34209 35748 36384 37072 39096 40544 40932 41706 42448 45612 47664 47754 52128 54576 55608 59911 60816 62559 63672 68418 68599 71496 71631 74144 78192 81864 83412 84896 91224 95328 95508 109152 111216 119822 121632 125118 125449 127344 136836 137198 142992 143262 156384 163728 166824 179733 182448 191016 205797 222432 239644 250236 250898 254688 273672 274396 285984 286524 327456 333648 359466 364896 376347 382032 411594 419377 479288 480193 500472 501796 539199 547344 548792 573048 617391 667296 718932 752694 764064 823188 838754 878143 958576 960386 1000944 1003592 1078398 1094688 1097584 1129041 1146096 1234782 1258131 1437864 1440579 1505388 1617597 1646376 1677508 1756286 1852173 1917152 1920772 2001888 2007184 2156796 2195168 2258082 2292192 2469564 2516262 2634429 2875728 2881158 3010776 3235194 3292752 3355016 3387123 3512572 3704346 3774393 3841544 4014368 4313592 4321737 4516164 4939128 5032524 5268858 5751456 5762316 6021552 6470388 6585504 6710032 6774246 7025144 7408692 7548786 7683088 7903287 8627184 8643474 9032328 9878256 10065048 10537716 11323179 11524632 12043104 12940776 12965211 13420064 13548492 14050288 14817384 15097572 15366176 15806574 17254368 17286948 18064656 19756512 20130096 21075432 22646358 22706269 23049264 23709861 25881552 25930422 27096984 28100576 29634768 30195144 31613148 34573896 36129312 40260192 42150864 45292716 45412538 46098528 47419722 51763104 51860844 54193968 59269536 60390288 63226296 68118807 69147792 84301728 90585432 90825076 94839444 103721688 108387936 120780576 126452592 136237614 138295584 158943883 181170864 181650152 189678888 204356421 207443376 252905184 272475228 317887766 362341728 363300304 379357776 408712842 414886752 476831649 544950456 613069263 635775532 726600608 758715552 817425684 953663298 1089900912 1226138526 1271551064 1430494947 1634851368 1907326596 2179801824 2452277052 2543102128 2860989894 3269702736 3814653192 4291484841 4904554104 5086204256 5721979788 6539405472 7629306384 8582969682 9809108208 11443959576 15258612768 17165939364 19618216416 22887919152 34331878728 45775838304 68663757456 137327514912
• Sum of all divisors σ(n): 462896179200
• Sum of proper divisors (its aliquot sum) s(n): 325568664288
• 137327514912 is an abundant number, because the sum of its proper divisors (325568664288) is greater than itself. Its abundance is 188241149376

Bases of 137327514912

• Binary: 1111111111001010110111001010100100000₂
• Hexadecimal: 0x1FF95B9520
• Base-36: 1R3598O0

Squares and roots of 137327514912

• 137327514912 squared (137327514912²) is 18858846351905582367744
• 137327514912 cubed (137327514912³) is 2589838503614430662222408427798528
• The square root of 137327514912 is 370577.2725249081
• The cube root of 137327514912 is 5159.2414569117

Scales and comparisons

• 137,327,514,912 seconds is equal to 4,366 years, 30 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
• To count from 1 to 137,327,514,912 would take you about eight thousand, seven hundred thirty-three 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 137327514912 cubic inches would be around 429.9 feet tall.

Recreational maths with 137327514912

• 137327514912 backwards is 219415723731
• The number of decimal digits it has is: 12
• The sum of 137327514912's digits is 45
• More coming soon!