137630416896
137,630,416,896 is an even composite number composed of five prime numbers multiplied together.
What does the number 137630416896 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 512 divisors.
137630416896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137630416896:
215 × 33 × 7 × 71 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 71 × 313)See below for interesting mathematical facts about the number 137630416896 from the Numbermatics database.
Names of 137630416896
- Cardinal: 137630416896 can be written as One hundred thirty-seven billion, six hundred thirty million, four hundred sixteen thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37630416896 × 1011
Factors of 137630416896
Divisors of 137630416896
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 71 72 84 96 108 112 126 128 142 144 168 189 192 213 216 224 252 256 284 288 313 336 378 384 426 432 448 497 504 512 568 576 626 639 672 756 768 852 864 896 939 994 1008 1024 1136 1152 1252 1278 1344 1491 1512 1536 1704 1728 1792 1878 1917 1988 2016 2048 2191 2272 2304 2504 2556 2688 2817 2982 3024 3072 3408 3456 3584 3756 3834 3976 4032 4096 4382 4473 4544 4608 5008 5112 5376 5634 5964 6048 6144 6573 6816 6912 7168 7512 7668 7952 8064 8192 8451 8764 8946 9088 9216 10016 10224 10752 11268 11928 12096 12288 13146 13419 13632 13824 14336 15024 15336 15904 16128 16384 16902 17528 17892 18176 18432 19719 20032 20448 21504 22223 22536 23856 24192 24576 26292 26838 27264 27648 28672 30048 30672 31808 32256 32768 33804 35056 35784 36352 36864 39438 40064 40896 43008 44446 45072 47712 48384 49152 52584 53676 54528 55296 57344 59157 60096 61344 63616 64512 66669 67608 70112 71568 72704 73728 78876 80128 81792 86016 88892 90144 95424 96768 98304 105168 107352 109056 110592 114688 118314 120192 122688 127232 129024 133338 135216 140224 143136 145408 147456 155561 157752 160256 163584 172032 177784 180288 190848 193536 200007 210336 214704 218112 221184 229376 236628 240384 245376 254464 258048 266676 270432 280448 286272 290816 294912 311122 315504 320512 327168 344064 355568 360576 381696 387072 400014 420672 429408 436224 442368 466683 473256 480768 490752 508928 516096 533352 540864 560896 572544 581632 600021 622244 631008 641024 654336 688128 711136 721152 763392 774144 800028 841344 858816 872448 884736 933366 946512 961536 981504 1017856 1032192 1066704 1081728 1121792 1145088 1163264 1200042 1244488 1262016 1282048 1308672 1400049 1422272 1442304 1526784 1548288 1600056 1682688 1717632 1744896 1866732 1893024 1923072 1963008 2035712 2064384 2133408 2163456 2243584 2290176 2326528 2400084 2488976 2524032 2564096 2617344 2800098 2844544 2884608 3053568 3096576 3200112 3365376 3435264 3489792 3733464 3786048 3846144 3926016 4071424 4200147 4266816 4326912 4487168 4580352 4800168 4977952 5048064 5128192 5234688 5600196 5689088 5769216 6107136 6193152 6400224 6730752 6870528 6979584 7466928 7572096 7692288 7852032 8142848 8400294 8533632 8653824 8974336 9160704 9600336 9955904 10096128 10256384 10469376 11200392 11378176 11538432 12214272 12800448 13461504 13741056 14933856 15144192 15384576 15704064 16285696 16800588 17067264 17307648 17948672 18321408 19200672 19911808 20192256 20938752 22400784 22756352 23076864 24428544 25600896 26923008 27482112 29867712 30288384 30769152 31408128 33601176 34134528 34615296 35897344 36642816 38401344 39823616 40384512 44801568 45512704 46153728 48857088 51201792 53846016 54964224 59735424 60576768 62816256 67202352 68269056 69230592 71794688 73285632 76802688 79647232 80769024 89603136 91025408 92307456 102403584 107692032 109928448 119470848 121153536 134404704 136538112 138461184 146571264 153605376 159294464 161538048 179206272 182050816 204807168 215384064 219856896 238941696 242307072 268809408 273076224 276922368 307210752 318588928 323076096 358412544 364101632 409614336 439713792 477883392 484614144 537618816 546152448 614421504 637177856 646152192 716825088 728203264 819228672 955766784 969228288 1075237632 1092304896 1228843008 1274355712 1433650176 1638457344 1911533568 1938456576 2150475264 2184609792 2457686016 2548711424 2867300352 3276914688 3823067136 4300950528 4915372032 5097422848 5734600704 6553829376 7646134272 8601901056 9830744064 11469201408 15292268544 17203802112 19661488128 22938402816 34407604224 45876805632 68815208448 137630416896
- Sum of all divisors σ(n): 474116889600
- Sum of proper divisors (its aliquot sum) s(n): 336486472704
- 137630416896 is an abundant number, because the sum of its proper divisors (336486472704) is greater than itself. Its abundance is 198856055808
Bases of 137630416896
- Binary: 100000000010110110100110000000000000002
- Hexadecimal: 0x200B698000
- Base-36: 1R85LHC0
Squares and roots of 137630416896
- 137630416896 squared (1376304168962) is 18942131654966762274816
- 137630416896 cubed (1376304168963) is 2607013476571993920906251401691136
-
The
square root of 137630416896 is 370985.7367824267 -
The
cube root of 137630416896 is 5163.0319012453
Scales and comparisons
How big is 137630416896?- 137,630,416,896 seconds is equal to 4,376 years, 11 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,630,416,896 would take you about eight thousand, seven hundred fifty-two 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 137630416896 cubic inches would be around 430.3 feet tall.
Recreational maths with 137630416896
- 137630416896 backwards is 698614036731
- 137630416896 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137630416896's digits is 54
- More coming soon!
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