138642287424
138,642,287,424 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138642287424 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138642287424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138642287424:
26 × 3 × 17 × 19 × 61 × 67 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 19 × 61 × 67 × 547)See below for interesting mathematical facts about the number 138642287424 from the Numbermatics database.
Names of 138642287424
- Cardinal: 138642287424 can be written as One hundred thirty-eight billion, six hundred forty-two million, two hundred eighty-seven thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38642287424 × 1011
Factors of 138642287424
Divisors of 138642287424
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 61 64 67 68 76 96 102 114 122 134 136 152 183 192 201 204 228 244 268 272 304 323 366 402 408 456 488 536 544 547 608 646 732 804 816 912 969 976 1037 1072 1088 1094 1139 1159 1216 1273 1292 1464 1608 1632 1641 1824 1938 1952 2074 2144 2188 2278 2318 2546 2584 2928 3111 3216 3264 3282 3417 3477 3648 3819 3876 3904 4087 4148 4288 4376 4556 4636 5092 5168 5856 6222 6432 6564 6834 6954 7638 7752 8174 8296 8752 9112 9272 9299 10184 10336 10393 11712 12261 12444 12864 13128 13668 13908 15276 15504 16348 16592 17504 18224 18544 18598 19703 20368 20672 20786 21641 24522 24888 26256 27336 27816 27897 30552 31008 31179 32696 33184 33367 35008 36448 36649 37088 37196 39406 40736 41572 43282 49044 49776 52512 54672 55632 55794 59109 61104 62016 62358 64923 65392 66368 66734 69479 72896 73298 74176 74392 77653 78812 81472 83144 86564 98088 99552 100101 105024 109344 109947 111264 111588 118218 122208 124716 129846 130784 133468 138958 146596 148784 155306 157624 166288 173128 176681 196176 199104 200202 208437 218688 219894 222528 223176 232959 236436 244416 249432 259692 261568 266936 277916 293192 297568 310612 315248 332576 346256 353362 392352 400404 416874 439788 446352 465918 472872 498864 519384 530043 533872 555832 567239 586384 595136 621224 623033 630496 633973 665152 692512 696331 706724 784704 800808 833748 879576 892704 931836 945744 997728 1038768 1060086 1067744 1111664 1134478 1172768 1242448 1246066 1260992 1267946 1320101 1385024 1392662 1413448 1601616 1667496 1701717 1759152 1785408 1863672 1869099 1891488 1901919 1995456 2077536 2088993 2120172 2135488 2223328 2235589 2268956 2345536 2484896 2492132 2535892 2640202 2785324 2826896 3203232 3334992 3403434 3518304 3727344 3738198 3782976 3803838 3960303 4155072 4177986 4240344 4446656 4471178 4537912 4969792 4984264 5071784 5280404 5570648 5653792 6406464 6669984 6706767 6806868 7036608 7454688 7476396 7607676 7920606 8355972 8480688 8942356 9075824 9968528 10143568 10560808 10777541 11141296 11307584 11837627 13339968 13413534 13613736 14909376 14952792 15215352 15841212 16711944 16961376 17884712 18151648 19937056 20287136 21121616 21555082 22282592 23675254 26827068 27227472 29905584 30430704 31682424 32332623 33423888 33922752 35512881 35769424 36303296 38005013 39874112 40574272 42243232 42476191 43110164 44565184 47350508 53654136 54454944 59811168 60861408 63364848 64665246 66847776 71025762 71538848 76010026 84486464 84952382 86220328 94701016 107308272 108909888 114015039 119622336 121722816 126729696 127428573 129330492 133695552 142051524 143077696 152020052 169904764 172440656 189402032 214616544 228030078 253459392 254857146 258660984 284103048 304040104 339809528 344881312 378804064 429233088 456060156 509714292 517321968 568206096 608080208 679619056 689762624 722095247 757608128 912120312 1019428584 1034643936 1136412192 1216160416 1359238112 1444190494 1824240624 2038857168 2069287872 2166285741 2272824384 2432320832 2718476224 2888380988 3648481248 4077714336 4332571482 5776761976 7296962496 8155428672 8665142964 11553523952 17330285928 23107047904 34660571856 46214095808 69321143712 138642287424
- Sum of all divisors σ(n): 422520099840
- Sum of proper divisors (its aliquot sum) s(n): 283877812416
- 138642287424 is an abundant number, because the sum of its proper divisors (283877812416) is greater than itself. Its abundance is 145235524992
Bases of 138642287424
- Binary: 100000010001111011100101101011010000002
- Hexadecimal: 0x2047B96B40
- Base-36: 1ROW1DMO
Squares and roots of 138642287424
- 138642287424 squared (1386422874242) is 19221683862159028555776
- 138642287424 cubed (1386422874243) is 2664938218790714434226519807361024
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The
square root of 138642287424 is 372346.9986773091 -
The
cube root of 138642287424 is 5175.6540351183
Scales and comparisons
How big is 138642287424?- 138,642,287,424 seconds is equal to 4,408 years, 20 weeks, 4 days, 2 hours, 30 minutes, 24 seconds.
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To count from 1 to 138,642,287,424 would take you about eight thousand, eight hundred sixteen 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 138642287424 cubic inches would be around 431.3 feet tall.
Recreational maths with 138642287424
- 138642287424 backwards is 424782246831
- 138642287424 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138642287424's digits is 51
- More coming soon!
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