137314645440

Names of 137314645440

• Cardinal: 137314645440 can be written as One hundred thirty-seven billion, three hundred fourteen million, six hundred forty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3731464544 × 10¹¹

Factors of 137314645440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 305065

Divisors of 137314645440

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 67 70 80 84 96 105 112 120 134 140 160 168 192 201 210 224 240 268 280 320 335 336 402 420 448 469 480 536 560 670 672 804 840 938 960 1005 1072 1120 1340 1344 1407 1608 1680 1876 2010 2144 2240 2345 2680 2814 3216 3360 3752 4020 4288 4690 5360 5628 6432 6720 7035 7504 8040 9380 10720 11256 12864 14070 15008 16080 18760 21440 22512 28140 30016 32160 37520 45024 56280 64320 75040 90048 112560 150080 225120 304981 450240 609962 914943 1219924 1524905 1829886 2134867 2439848 3049810 3659772 4269734 4574715 4879696 6099620 6404601 7319544 8539468 9149430 9759392 10674335 12199240 12809202 14639088 17078936 18298860 19518784 20433727 21348670 24398480 25618404 29278176 32023005 34157872 36597720 40867454 42697340 48796960 51236808 58556352 61301181 64046010 68315744 73195440 81734908 85394680 97593920 102168635 102473616 122602362 128092020 136631488 143036089 146390880 163469816 170789360 204337270 204947232 245204724 256184040 286072178 292781760 306505905 326939632 341578720 408674540 409894464 429108267 490409448 512368080 572144356 613011810 653879264 683157440 715180445 817349080 858216534 980818896 1024736160 1144288712 1226023620 1307758528 1430360890 1634698160 1716433068 1961637792 2049472320 2145541335 2288577424 2452047240 2860721780 3269396320 3432866136 3923275584 4291082670 4577154848 4904094480 5721443560 6538792640 6865732272 8582165340 9154309696 9808188960 11442887120 13731464544 17164330680 19616377920 22885774240 27462929088 34328661360 45771548480 68657322720 137314645440
• Sum of all divisors σ(n): 505694313984
• Sum of proper divisors (its aliquot sum) s(n): 368379668544
• 137314645440 is an abundant number, because the sum of its proper divisors (368379668544) is greater than itself. Its abundance is 231065023104

Bases of 137314645440

• Binary: 1111111111000100101110011010111000000₂
• Hexadecimal: 0x1FF89735C0
• Base-36: 1R2XLEIO

Squares and roots of 137314645440

• 137314645440 squared (137314645440²) is 18855311852312912793600
• 137314645440 cubed (137314645440³) is 2589110461660977264186823901184000
• The square root of 137314645440 is 370559.9080310767
• The cube root of 137314645440 is 5159.0802879773

Scales and comparisons

• 137,314,645,440 seconds is equal to 4,366 years, 9 weeks, 2 days, 21 hours, 4 minutes.
• To count from 1 to 137,314,645,440 would take you about eight thousand, seven hundred thirty-two 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 137314645440 cubic inches would be around 429.9 feet tall.

Recreational maths with 137314645440

• 137314645440 backwards is 044546413731
• 137314645440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137314645440's digits is 42
• More coming soon!