137643968
137,643,968 is an even composite number composed of six prime numbers multiplied together.
137643968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137643968:
26 × 7 × 11 × 17 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 17 × 31 × 53)See below for interesting mathematical facts about the number 137643968 from the Numbermatics database.
Names of 137643968
- Cardinal: 137643968 can be written as One hundred thirty-seven million, six hundred forty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37643968 × 108
Factors of 137643968
Divisors of 137643968
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 31 32 34 44 53 56 62 64 68 77 88 106 112 119 124 136 154 176 187 212 217 224 238 248 272 308 341 352 371 374 424 434 448 476 496 527 544 583 616 682 704 742 748 848 868 901 952 992 1054 1088 1166 1232 1309 1364 1484 1496 1643 1696 1736 1802 1904 1984 2108 2332 2387 2464 2618 2728 2968 2992 3286 3392 3472 3604 3689 3808 4081 4216 4664 4774 4928 5236 5456 5797 5936 5984 6307 6572 6944 7208 7378 7616 8162 8432 9328 9548 9911 10472 10912 11501 11594 11872 11968 12614 13144 13888 14416 14756 16324 16864 18073 18656 19096 19822 20944 21824 23002 23188 23744 25228 26288 27931 28832 29512 32648 33728 36146 37312 38192 39644 40579 41888 46004 46376 50456 52576 55862 57664 59024 65296 69377 72292 76384 79288 81158 83776 92008 92752 100912 105152 111724 118048 126511 130592 138754 144584 152768 158576 162316 184016 185504 195517 201824 223448 236096 253022 261184 277508 289168 307241 317152 324632 368032 371008 391034 403648 446896 506044 555016 578336 614482 634304 649264 736064 782068 893792 1012088 1110032 1156672 1228964 1298528 1564136 1787584 2024176 2150687 2220064 2457928 2597056 3128272 4048352 4301374 4440128 4915856 6256544 8096704 8602748 9831712 12513088 17205496 19663424 34410992 68821984 137643968
- Sum of all divisors σ(n): 379219968
- Sum of proper divisors (its aliquot sum) s(n): 241576000
- 137643968 is an abundant number, because the sum of its proper divisors (241576000) is greater than itself. Its abundance is 103932032
Bases of 137643968
- Binary: 10000011010001000111110000002
- Hexadecimal: 0x83447C0
- Base-36: 29Y6RK
Squares and roots of 137643968
- 137643968 squared (1376439682) is 18945861926785024
- 137643968 cubed (1376439683) is 2607783612782816186335232
-
The
square root of 137643968 is 11732.1766096493 -
The
cube root of 137643968 is 516.3201346555
Scales and comparisons
How big is 137643968?- 137,643,968 seconds is equal to 4 years, 19 weeks, 4 days, 2 hours, 26 minutes, 8 seconds.
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To count from 1 to 137,643,968 would take you about six 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 137643968 cubic inches would be around 43 feet tall.
Recreational maths with 137643968
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