137138340864

Names of 137138340864

• Cardinal: 137138340864 can be written as One hundred thirty-seven billion, one hundred thirty-eight million, three hundred forty thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37138340864 × 10¹¹

Factors of 137138340864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5354

Divisors of 137138340864

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1801 2688 3072 3541 3584 3602 5376 5403 7082 7168 7204 10623 10752 10806 12607 14164 14408 21246 21504 21612 24787 25214 28328 28816 37821 42492 43224 49574 50428 56656 57632 74361 75642 84984 86448 99148 100856 113312 115264 148722 151284 169968 172896 198296 201712 226624 230528 297444 302568 339936 345792 396592 403424 453248 461056 594888 605136 679872 691584 793184 806848 906496 922112 1189776 1210272 1359744 1383168 1586368 1613696 1812992 1844224 2379552 2420544 2719488 2766336 3172736 3227392 3625984 4759104 4841088 5438976 5532672 6345472 6377341 6454784 9518208 9682176 10877952 12690944 12754682 12909568 19036416 19132023 19364352 25381888 25509364 38072832 38264046 38728704 44641387 51018728 76145664 76528092 89282774 102037456 133924161 153056184 178565548 204074912 267848322 306112368 357131096 408149824 535696644 612224736 714262192 816299648 1071393288 1224449472 1428524384 1632599296 2142786576 2448898944 2857048768 3265198592 4285573152 4897797888 5714097536 6530397184 8571146304 9795595776 11428195072 17142292608 19591191552 22856390144 34284585216 45712780288 68569170432 137138340864
• Sum of all divisors σ(n): 418091332736
• Sum of proper divisors (its aliquot sum) s(n): 280952991872
• 137138340864 is an abundant number, because the sum of its proper divisors (280952991872) is greater than itself. Its abundance is 143814651008

Bases of 137138340864

• Binary: 1111111101110000101010000010000000000₂
• Hexadecimal: 0x1FEE150400
• Base-36: 1R00ML1C

Squares and roots of 137138340864

• 137138340864 squared (137138340864²) is 18806924534930652266496
• 137138340864 cubed (137138340864³) is 2579150427474844465124582614892544
• The square root of 137138340864 is 370321.9421854451
• The cube root of 137138340864 is 5156.8713489939

Scales and comparisons

• 137,138,340,864 seconds is equal to 4,360 years, 29 weeks, 6 days, 7 hours, 34 minutes, 24 seconds.
• To count from 1 to 137,138,340,864 would take you about eight thousand, seven hundred twenty-one 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 137138340864 cubic inches would be around 429.7 feet tall.

Recreational maths with 137138340864

• 137138340864 backwards is 468043831731
• 137138340864 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137138340864's digits is 48
• More coming soon!