137973585984
137,973,585,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 137973585984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
137973585984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 137973585984:
26 × 3 × 13 × 4547 × 12157
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 4547 × 12157)See below for interesting mathematical facts about the number 137973585984 from the Numbermatics database.
Names of 137973585984
- Cardinal: 137973585984 can be written as One hundred thirty-seven billion, nine hundred seventy-three million, five hundred eighty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37973585984 × 1011
Factors of 137973585984
Divisors of 137973585984
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4547 9094 12157 13641 18188 24314 27282 36376 36471 48628 54564 59111 72752 72942 97256 109128 118222 145504 145884 158041 177333 194512 218256 236444 291008 291768 316082 354666 389024 436512 472888 474123 583536 632164 709332 778048 873024 945776 948246 1167072 1264328 1418664 1891552 1896492 2334144 2528656 2837328 3783104 3792984 5057312 5674656 7585968 10114624 11349312 15171936 30343872 55277879 110555758 165833637 221111516 331667274 442223032 663334548 718612427 884446064 1326669096 1437224854 1768892128 2155837281 2653338192 2874449708 3537784256 4311674562 5306676384 5748899416 8623349124 10613352768 11497798832 17246698248 22995597664 34493396496 45991195328 68986792992 137973585984
- Sum of all divisors σ(n): 393255081408
- Sum of proper divisors (its aliquot sum) s(n): 255281495424
- 137973585984 is an abundant number, because the sum of its proper divisors (255281495424) is greater than itself. Its abundance is 117307909440
Bases of 137973585984
- Binary: 100000000111111101110111011000010000002
- Hexadecimal: 0x201FDDD840
- Base-36: 1RDTWSAO
Squares and roots of 137973585984
- 137973585984 squared (1379735859842) is 19036710429284241248256
- 137973585984 cubed (1379735859843) is 2626563203267358811442448706043904
-
The
square root of 137973585984 is 371447.9586483145 -
The
cube root of 137973585984 is 5167.3195251177
Scales and comparisons
How big is 137973585984?- 137,973,585,984 seconds is equal to 4,387 years, 6 weeks, 6 days, 12 hours, 6 minutes, 24 seconds.
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To count from 1 to 137,973,585,984 would take you about eight thousand, seven hundred seventy-four 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 137973585984 cubic inches would be around 430.6 feet tall.
Recreational maths with 137973585984
- 137973585984 backwards is 489585379731
- The number of decimal digits it has is: 12
- The sum of 137973585984's digits is 69
- More coming soon!
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Keywords: Divisors of 137973585984, math, Factors of 137973585984, curriculum, school, college, exams, university, Prime factorization of 137973585984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, nine hundred seventy-three million, five hundred eighty-five thousand, nine hundred eighty-four.