137630220
137,630,220 is an even composite number composed of six prime numbers multiplied together.
137630220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137630220:
22 × 3 × 5 × 72 × 132 × 277
(2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 277)See below for interesting mathematical facts about the number 137630220 from the Numbermatics database.
Names of 137630220
- Cardinal: 137630220 can be written as One hundred thirty-seven million, six hundred thirty thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3763022 × 108
Factors of 137630220
Divisors of 137630220
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 169 182 195 196 210 245 260 273 277 294 338 364 390 420 455 490 507 546 554 588 637 676 735 780 831 845 910 980 1014 1092 1108 1183 1274 1365 1385 1470 1662 1690 1820 1911 1939 2028 2366 2535 2548 2730 2770 2940 3185 3324 3380 3549 3601 3822 3878 4155 4732 5070 5460 5540 5817 5915 6370 7098 7202 7644 7756 8281 8310 9555 9695 10140 10803 11634 11830 12740 13573 14196 14404 16562 16620 17745 18005 19110 19390 21606 23268 23660 24843 25207 27146 29085 33124 35490 36010 38220 38780 40719 41405 43212 46813 49686 50414 54015 54292 58170 67865 70980 72020 75621 81438 82810 93626 99372 100828 108030 116340 124215 126035 135730 140439 151242 162876 165620 176449 187252 203595 216060 234065 248430 252070 271460 280878 302484 327691 352898 378105 407190 468130 496860 504140 529347 561756 655382 702195 705796 756210 814380 882245 936260 983073 1058694 1310764 1404390 1512420 1638455 1764490 1966146 2117388 2293837 2646735 2808780 3276910 3528980 3932292 4587674 4915365 5293470 6553820 6881511 9175348 9830730 10586940 11469185 13763022 19661460 22938370 27526044 34407555 45876740 68815110 137630220
- Sum of all divisors σ(n): 487169424
- Sum of proper divisors (its aliquot sum) s(n): 349539204
- 137630220 is an abundant number, because the sum of its proper divisors (349539204) is greater than itself. Its abundance is 211908984
Bases of 137630220
- Binary: 10000011010000010010000011002
- Hexadecimal: 0x834120C
- Base-36: 29XW5O
Squares and roots of 137630220
- 137630220 squared (1376302202) is 18942077457248400
- 137630220 cubed (1376302203) is 2607002287698137886648000
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The
square root of 137630220 is 11731.5906849837 -
The
cube root of 137630220 is 516.3029439143
Scales and comparisons
How big is 137630220?- 137,630,220 seconds is equal to 4 years, 19 weeks, 3 days, 22 hours, 37 minutes.
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To count from 1 to 137,630,220 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 137630220 cubic inches would be around 43 feet tall.
Recreational maths with 137630220
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