137493972
137,493,972 is an even composite number composed of six prime numbers multiplied together.
137493972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137493972:
22 × 32 × 7 × 11 × 193 × 257
(2 × 2 × 3 × 3 × 7 × 11 × 193 × 257)See below for interesting mathematical facts about the number 137493972 from the Numbermatics database.
Names of 137493972
- Cardinal: 137493972 can be written as One hundred thirty-seven million, four hundred ninety-three thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.37493972 × 108
Factors of 137493972
Divisors of 137493972
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 193 198 231 252 257 308 386 396 462 514 579 693 771 772 924 1028 1158 1351 1386 1542 1737 1799 2123 2313 2316 2702 2772 2827 3084 3474 3598 4053 4246 4626 5397 5404 5654 6369 6948 7196 8106 8481 8492 9252 10794 11308 12159 12738 14861 16191 16212 16962 19107 19789 21588 24318 25443 25476 29722 32382 33924 38214 39578 44583 48636 49601 50886 59367 59444 64764 76428 79156 89166 99202 101772 118734 133749 148803 178101 178332 198404 237468 267498 297606 347207 356202 446409 534996 545611 595212 694414 712404 892818 1041621 1091222 1388828 1636833 1785636 2083242 2182444 3124863 3273666 3819277 4166484 4910499 6249726 6547332 7638554 9820998 11457831 12499452 15277108 19641996 22915662 34373493 45831324 68746986 137493972
- Sum of all divisors σ(n): 437254272
- Sum of proper divisors (its aliquot sum) s(n): 299760300
- 137493972 is an abundant number, because the sum of its proper divisors (299760300) is greater than itself. Its abundance is 162266328
Bases of 137493972
- Binary: 10000011000111111101110101002
- Hexadecimal: 0x831FDD4
- Base-36: 29UZ10
Squares and roots of 137493972
- 137493972 squared (1374939722) is 18904592336336784
- 137493972 cubed (1374939723) is 2599267489363704361866048
-
The
square root of 137493972 is 11725.7823619577 -
The
cube root of 137493972 is 516.1325150913
Scales and comparisons
How big is 137493972?- 137,493,972 seconds is equal to 4 years, 19 weeks, 2 days, 8 hours, 46 minutes, 12 seconds.
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To count from 1 to 137,493,972 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 137493972 cubic inches would be around 43 feet tall.
Recreational maths with 137493972
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The information we have on file for 137493972 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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