137228520
137,228,520 is an even composite number composed of six prime numbers multiplied together.
137228520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137228520:
23 × 3 × 5 × 112 × 13 × 727
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 727)See below for interesting mathematical facts about the number 137228520 from the Numbermatics database.
Names of 137228520
- Cardinal: 137228520 can be written as One hundred thirty-seven million, two hundred twenty-eight thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3722852 × 108
Factors of 137228520
Divisors of 137228520
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 121 130 132 143 156 165 195 220 242 260 264 286 312 330 363 390 429 440 484 520 572 605 660 715 726 727 780 858 968 1144 1210 1320 1430 1452 1454 1560 1573 1716 1815 2145 2181 2420 2860 2904 2908 3146 3432 3630 3635 4290 4362 4719 4840 5720 5816 6292 7260 7270 7865 7997 8580 8724 9438 9451 10905 12584 14520 14540 15730 15994 17160 17448 18876 18902 21810 23595 23991 28353 29080 31460 31988 37752 37804 39985 43620 47190 47255 47982 56706 62920 63976 75608 79970 87240 87967 94380 94510 95964 103961 113412 119955 141765 159940 175934 188760 189020 191928 207922 226824 239910 263901 283530 311883 319880 351868 378040 415844 439835 479820 519805 527802 567060 623766 703736 831688 879670 959640 1039610 1055604 1134120 1143571 1247532 1319505 1559415 1759340 2079220 2111208 2287142 2495064 2639010 3118830 3430713 3518680 4158440 4574284 5278020 5717855 6237660 6861426 9148568 10556040 11435710 12475320 13722852 17153565 22871420 27445704 34307130 45742840 68614260 137228520
- Sum of all divisors σ(n): 487992960
- Sum of proper divisors (its aliquot sum) s(n): 350764440
- 137228520 is an abundant number, because the sum of its proper divisors (350764440) is greater than itself. Its abundance is 213535920
Bases of 137228520
- Binary: 10000010110111110000111010002
- Hexadecimal: 0x82DF0E8
- Base-36: 29PA7C
Squares and roots of 137228520
- 137228520 squared (1372285202) is 18831666701390400
- 137228520 cubed (1372285203) is 2584241750565086534208000
-
The
square root of 137228520 is 11714.4577339287 -
The
cube root of 137228520 is 515.8001449453
Scales and comparisons
How big is 137228520?- 137,228,520 seconds is equal to 4 years, 18 weeks, 6 days, 7 hours, 2 minutes.
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To count from 1 to 137,228,520 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 137228520 cubic inches would be around 43 feet tall.
Recreational maths with 137228520
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