137203220
137,203,220 is an even composite number composed of six prime numbers multiplied together.
137203220 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 137203220:
22 × 5 × 7 × 11 × 412 × 53
(2 × 2 × 5 × 7 × 11 × 41 × 41 × 53)See below for interesting mathematical facts about the number 137203220 from the Numbermatics database.
Names of 137203220
- Cardinal: 137203220 can be written as One hundred thirty-seven million, two hundred three thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3720322 × 108
Factors of 137203220
Divisors of 137203220
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 10 11 14 20 22 28 35 41 44 53 55 70 77 82 106 110 140 154 164 205 212 220 265 287 308 371 385 410 451 530 574 583 742 770 820 902 1060 1148 1166 1435 1484 1540 1681 1804 1855 2173 2255 2332 2870 2915 3157 3362 3710 4081 4346 4510 5740 5830 6314 6724 7420 8162 8405 8692 9020 10865 11660 11767 12628 15211 15785 16324 16810 18491 20405 21730 23534 23903 30422 31570 33620 36982 40810 43460 47068 47806 58835 60844 63140 73964 76055 81620 89093 92455 95612 117670 119515 129437 152110 167321 178186 184910 235340 239030 258874 304220 334642 356372 369820 445465 478060 517748 623651 647185 669284 836605 890930 980023 1247302 1294370 1673210 1781860 1960046 2494604 2588740 3118255 3346420 3920092 4900115 6236510 6860161 9800230 12473020 13720322 19600460 27440644 34300805 68601610 137203220
- Sum of all divisors σ(n): 375145344
- Sum of proper divisors (its aliquot sum) s(n): 237942124
- 137203220 is an abundant number, because the sum of its proper divisors (237942124) is greater than itself. Its abundance is 100738904
Bases of 137203220
- Binary: 10000010110110001110000101002
- Hexadecimal: 0x82D8E14
- Base-36: 29OQOK
Squares and roots of 137203220
- 137203220 squared (1372032202) is 18824723578368400
- 137203220 cubed (1372032203) is 2582812690562066826248000
-
The
square root of 137203220 is 11713.3778219607 -
The
cube root of 137203220 is 515.7684446697
Scales and comparisons
How big is 137203220?- 137,203,220 seconds is equal to 4 years, 18 weeks, 6 days, 20 seconds.
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To count from 1 to 137,203,220 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 137203220 cubic inches would be around 43 feet tall.
Recreational maths with 137203220
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