137190144
137,190,144 is an even composite number composed of five prime numbers multiplied together.
137190144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137190144:
28 × 3 × 7 × 132 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 151)See below for interesting mathematical facts about the number 137190144 from the Numbermatics database.
Names of 137190144
- Cardinal: 137190144 can be written as One hundred thirty-seven million, one hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37190144 × 108
Factors of 137190144
Divisors of 137190144
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 151 156 168 169 182 192 208 224 256 273 302 312 336 338 364 384 416 448 453 507 546 604 624 672 676 728 768 832 896 906 1014 1057 1092 1183 1208 1248 1344 1352 1456 1664 1792 1812 1963 2028 2114 2184 2366 2416 2496 2688 2704 2912 3171 3328 3549 3624 3926 4056 4228 4368 4732 4832 4992 5376 5408 5824 5889 6342 7098 7248 7852 8112 8456 8736 9464 9664 9984 10816 11648 11778 12684 13741 14196 14496 15704 16224 16912 17472 18928 19328 21632 23296 23556 25368 25519 27482 28392 28992 31408 32448 33824 34944 37856 38656 41223 43264 47112 50736 51038 54964 56784 57984 62816 64896 67648 69888 75712 76557 82446 94224 101472 102076 109928 113568 115968 125632 129792 135296 151424 153114 164892 178633 188448 202944 204152 219856 227136 251264 270592 302848 306228 329784 357266 376896 405888 408304 439712 454272 502528 535899 612456 659568 714532 753792 811776 816608 879424 908544 1071798 1224912 1319136 1429064 1507584 1633216 1758848 2143596 2449824 2638272 2858128 3266432 3517696 4287192 4899648 5276544 5716256 6532864 8574384 9799296 10553088 11432512 17148768 19598592 22865024 34297536 45730048 68595072 137190144
- Sum of all divisors σ(n): 454847232
- Sum of proper divisors (its aliquot sum) s(n): 317657088
- 137190144 is an abundant number, because the sum of its proper divisors (317657088) is greater than itself. Its abundance is 180466944
Bases of 137190144
- Binary: 10000010110101011011000000002
- Hexadecimal: 0x82D5B00
- Base-36: 29OGLC
Squares and roots of 137190144
- 137190144 squared (1371901442) is 18821135610740736
- 137190144 cubed (1371901443) is 2582074304681049518505984
-
The
square root of 137190144 is 11712.8196434505 -
The
cube root of 137190144 is 515.7520592369
Scales and comparisons
How big is 137190144?- 137,190,144 seconds is equal to 4 years, 18 weeks, 5 days, 20 hours, 22 minutes, 24 seconds.
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To count from 1 to 137,190,144 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 137190144 cubic inches would be around 43 feet tall.
Recreational maths with 137190144
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The information we have on file for 137190144 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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