137917049424
137,917,049,424 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137917049424 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
137917049424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137917049424:
24 × 3 × 7 × 11 × 131 × 443 × 643
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 131 × 443 × 643)See below for interesting mathematical facts about the number 137917049424 from the Numbermatics database.
Names of 137917049424
- Cardinal: 137917049424 can be written as One hundred thirty-seven billion, nine hundred seventeen million, forty-nine thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37917049424 × 1011
Factors of 137917049424
Divisors of 137917049424
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 131 132 154 168 176 231 262 264 308 336 393 443 462 524 528 616 643 786 886 917 924 1048 1232 1286 1329 1441 1572 1772 1834 1848 1929 2096 2572 2658 2751 2882 3101 3144 3544 3668 3696 3858 4323 4501 4873 5144 5316 5502 5764 6202 6288 7073 7088 7336 7716 8646 9002 9303 9746 10087 10288 10632 11004 11528 12404 13503 14146 14619 14672 15432 17292 18004 18606 19492 20174 21219 21264 22008 23056 24808 27006 28292 29238 30261 30864 34111 34584 36008 37212 38984 40348 42438 44016 49511 49616 54012 56584 58033 58476 60522 68222 69168 72016 74424 77968 80696 84233 84876 99022 102333 108024 113168 116066 116952 121044 136444 148533 148848 161392 168466 169752 174099 198044 204666 216048 232132 233904 242088 252699 272888 284849 297066 336932 339504 348198 396088 406231 409332 464264 484176 505398 545776 569698 589631 594132 638363 673864 696396 792176 812462 818664 854547 926563 928528 1010796 1139396 1179262 1188264 1218693 1276726 1347728 1392792 1624924 1637328 1709094 1768893 1853126 1915089 1993943 2021592 2278792 2358524 2376528 2437386 2553452 2779689 2785584 3133339 3249848 3418188 3537786 3706252 3830178 3987886 4043184 4468541 4557584 4717048 4874772 5106904 5559378 5981829 6266678 6485941 6499696 6836376 7075572 7412504 7660356 7975772 8937082 9400017 9434096 9749544 10213808 11118756 11963658 12533356 12971882 13405623 13672752 14151144 14825008 15320712 15951544 17874164 18800034 19457823 19499088 21933373 22237512 23927316 25066712 25943764 26811246 28302288 30641424 31903088 35748328 37315219 37600068 38915646 43866746 44475024 47854632 50133424 51887528 53622492 65800119 71496656 74630438 75200136 77831292 87733492 95709264 103775056 107244984 111945657 131600238 149260876 150400272 155662584 175466984 214489968 223891314 261206533 263200476 298521752 311325168 350933968 410467409 447782628 522413066 526400952 597043504 783619599 820934818 895565256 1044826132 1052801904 1231402227 1567239198 1641869636 1791130512 2089652264 2462804454 2873271863 3134478396 3283739272 4179304528 4925608908 5746543726 6268956792 6567478544 8619815589 9851217816 11493087452 12537913584 17239631178 19702435632 22986174904 34479262356 45972349808 68958524712 137917049424
- Sum of all divisors σ(n): 449299243008
- Sum of proper divisors (its aliquot sum) s(n): 311382193584
- 137917049424 is an abundant number, because the sum of its proper divisors (311382193584) is greater than itself. Its abundance is 173465144160
Bases of 137917049424
- Binary: 100000000111000111111100101010010100002
- Hexadecimal: 0x201C7F2A50
- Base-36: 1RCW90EO
Squares and roots of 137917049424
- 137917049424 squared (1379170494242) is 19021112521822058731776
- 137917049424 cubed (1379170494243) is 2623335715771598152643781351297024
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The
square root of 137917049424 is 371371.8479152667 -
The
cube root of 137917049424 is 5166.6136354589
Scales and comparisons
How big is 137917049424?- 137,917,049,424 seconds is equal to 4,385 years, 17 weeks, 3 days, 3 hours, 30 minutes, 24 seconds.
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To count from 1 to 137,917,049,424 would take you about eight thousand, seven hundred seventy 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 137917049424 cubic inches would be around 430.6 feet tall.
Recreational maths with 137917049424
- 137917049424 backwards is 424940719731
- The number of decimal digits it has is: 12
- The sum of 137917049424's digits is 51
- More coming soon!
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