137828964
137,828,964 is an even composite number composed of six prime numbers multiplied together.
137828964 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 137828964:
22 × 3 × 72 × 132 × 19 × 73
(2 × 2 × 3 × 7 × 7 × 13 × 13 × 19 × 73)See below for interesting mathematical facts about the number 137828964 from the Numbermatics database.
Names of 137828964
- Cardinal: 137828964 can be written as One hundred thirty-seven million, eight hundred twenty-eight thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 1.37828964 × 108
Factors of 137828964
Divisors of 137828964
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 73 76 78 84 91 98 114 133 146 147 156 169 182 196 219 228 247 266 273 292 294 338 364 399 438 494 507 511 532 546 588 637 676 741 798 876 931 949 988 1014 1022 1092 1183 1274 1387 1482 1533 1596 1729 1862 1898 1911 2028 2044 2366 2548 2774 2793 2847 2964 3066 3211 3458 3549 3577 3724 3796 3822 4161 4732 5187 5548 5586 5694 6132 6422 6643 6916 7098 7154 7644 8281 8322 9633 9709 10374 10731 11172 11388 12103 12337 12844 13286 14196 14308 16562 16644 18031 19266 19418 19929 20748 21462 22477 24206 24674 24843 26572 29127 33124 36062 36309 37011 38532 38836 39858 42924 44954 46501 48412 49348 49686 54093 58254 67431 67963 72124 72618 74022 79716 86359 89908 93002 99372 108186 116508 126217 134862 135926 139503 145236 148044 157339 172718 186004 203889 216372 234403 252434 259077 269724 271852 279006 314678 345436 378651 407778 468806 472017 504868 518154 558012 604513 629356 703209 757302 815556 883519 937612 944034 1036308 1209026 1406418 1514604 1640821 1767038 1813539 1888068 2418052 2650557 2812836 3281642 3534076 3627078 4922463 5301114 6563284 7254156 9844926 10602228 11485747 19689852 22971494 34457241 45942988 68914482 137828964
- Sum of all divisors σ(n): 432260640
- Sum of proper divisors (its aliquot sum) s(n): 294431676
- 137828964 is an abundant number, because the sum of its proper divisors (294431676) is greater than itself. Its abundance is 156602712
Bases of 137828964
- Binary: 10000011011100011010011001002
- Hexadecimal: 0x8371A64
- Base-36: 2A25IC
Squares and roots of 137828964
- 137828964 squared (1378289642) is 18996823317313296
- 137828964 cubed (1378289643) is 2618312477116334851105344
-
The
square root of 137828964 is 11740.0580918495 -
The
cube root of 137828964 is 516.5513456577
Scales and comparisons
How big is 137828964?- 137,828,964 seconds is equal to 4 years, 19 weeks, 6 days, 5 hours, 49 minutes, 24 seconds.
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To count from 1 to 137,828,964 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 137828964 cubic inches would be around 43 feet tall.
Recreational maths with 137828964
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