136448984416788225
136,448,984,416,788,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 136448984416788225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
136448984416788225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 136448984416788225:
38 × 52 × 72 × 133 × 37 × 4572
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 37 × 457 × 457)See below for interesting mathematical facts about the number 136448984416788225 from the Numbermatics database.
Names of 136448984416788225
- Cardinal: 136448984416788225 can be written as One hundred thirty-six quadrillion, four hundred forty-eight trillion, nine hundred eighty-four billion, four hundred sixteen million, seven hundred eighty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.36448984416788225 × 1017
Factors of 136448984416788225
Divisors of 136448984416788225
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 37 39 45 49 63 65 75 81 91 105 111 117 135 147 169 175 185 189 195 225 243 245 259 273 315 325 333 351 405 441 455 457 481 507 525 555 567 585 637 675 729 735 777 819 845 925 945 975 999 1053 1183 1215 1225 1295 1323 1365 1371 1443 1521 1575 1665 1701 1755 1813 1911 2025 2187 2197 2205 2275 2285 2331 2405 2457 2535 2775 2835 2925 2997 3159 3185 3199 3367 3549 3645 3675 3885 3969 4095 4113 4225 4329 4563 4725 4995 5103 5265 5439 5733 5915 5941 6075 6253 6475 6561 6591 6615 6825 6855 6993 7215 7371 7605 8281 8325 8505 8775 8991 9065 9477 9555 9597 10101 10647 10935 10985 11025 11425 11655 11907 12025 12285 12339 12675 12987 13689 14175 14985 15309 15379 15795 15925 15995 16317 16835 16909 17199 17745 17823 18225 18759 19425 19773 19845 20475 20565 20979 21645 22113 22393 22815 23569 24843 24975 25515 26325 26973 27195 28431 28665 28791 29575 29705 30303 31265 31941 32805 32955 33075 34275 34965 35721 36075 36855 37017 38025 38961 41067 41405 41587 42525 43771 44955 45325 45927 46137 47385 47775 47985 48951 50505 50727 51597 53235 53469 54675 54925 56277 58275 59319 59535 61425 61695 62937 64935 66339 67179 68445 70707 74529 74925 76545 76895 77233 78975 79975 80919 81289 81585 84175 84545 85293 85995 86373 88725 89115 90909 93795 95823 98865 99225 102825 104895 107163 107653 108225 110565 111051 111965 114075 116883 117845 118363 123201 124215 124761 127575 131313 134865 135975 138411 142155 143325 143955 146853 148525 151515 152181 154791 156325 159705 160407 164025 164775 168831 174825 177957 178605 184275 185085 188811 194805 199017 201537 205335 207025 207935 208849 212121 218855 219817 223587 224775 229635 230685 231699 236925 239925 242757 243867 244755 252525 253635 257985 259119 266175 267345 272727 281385 287469 291109 296595 297675 306397 308475 314685 321489 322959 324675 331695 333153 335895 342225 350649 353535 355089 369603 372645 374283 382725 384475 386165 393939 404595 406445 407925 415233 422725 426465 429975 431865 440559 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409756709960325 419843028974733 433171379100915 499813129731825 526830055663275 556934630272605 561518454390075 606439930741281 699738381624555 721952298501525 737562077928585 779708482381647 807390440336025 928224383787675 1010733217902135 1166230636040925 1229270129880975 1299514137302745 1499439389195475 1684555363170225 1819319792223843 2099215144873665 2165856895504575 2784673151363025 3032199653706405 3498691908122775 3687810389642925 3898542411908235 5053666089510675 5457959376671529 6497570686513725 9096598961119215 10496075724368325 15160998268532025 19492712059541175 27289796883357645 45482994805596075 136448984416788225
- Sum of all divisors σ(n): 329169879113198760
- Sum of proper divisors (its aliquot sum) s(n): 192720894696410535
- 136448984416788225 is an abundant number, because the sum of its proper divisors (192720894696410535) is greater than itself. Its abundance is 56271910279622310
Bases of 136448984416788225
- Binary: 1111001001100001110100000110111100010000000011111000000012
- Hexadecimal: 0x1E4C3A0DE201F01
- Base-36: 11BJ4M2XDN29
Squares and roots of 136448984416788225
- 136448984416788225 squared (1364489844167882252) is 18618325348372915862539224498650625
- 136448984416788225 cubed (1364489844167882253) is 2540451585326829196981815083410854523884108888890625
-
The
square root of 136448984416788225 is 369390016.6717939669 -
The
cube root of 136448984416788225 is 514821.6109045035
Scales and comparisons
How big is 136448984416788225?- 136,448,984,416,788,225 seconds is equal to 4,338,655,640 years, 1 week, 5 days, 2 hours, 3 minutes, 45 seconds.
-
To count from 1 to 136,448,984,416,788,225 would take you about thirteen billion, fifteen million, nine hundred sixty-six thousand, nine hundred twenty 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 136448984416788225 cubic inches would be around 42901.8 feet tall.
Recreational maths with 136448984416788225
- 136448984416788225 backwards is 522887614489844631
- The number of decimal digits it has is: 18
- The sum of 136448984416788225's digits is 90
- More coming soon!
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The information we have on file for 136448984416788225 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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