138099876310825
138,099,876,310,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138099876310825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
138099876310825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138099876310825:
52 × 113 × 132 × 192 × 59 × 1153
(5 × 5 × 11 × 11 × 11 × 13 × 13 × 19 × 19 × 59 × 1153)See below for interesting mathematical facts about the number 138099876310825 from the Numbermatics database.
Names of 138099876310825
- Cardinal: 138099876310825 can be written as One hundred thirty-eight trillion, ninety-nine billion, eight hundred seventy-six million, three hundred ten thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38099876310825 × 1014
Factors of 138099876310825
Divisors of 138099876310825
- Number of divisors d(n): 432
-
Complete list of divisors:
1 5 11 13 19 25 55 59 65 95 121 143 169 209 247 275 295 325 361 475 605 649 715 767 845 1045 1121 1153 1235 1331 1475 1573 1805 1859 2299 2717 3025 3211 3245 3575 3835 3971 4225 4693 5225 5605 5765 6175 6655 7139 7865 8437 9025 9295 9971 11495 12331 12683 13585 14573 14989 16055 16225 17303 19175 19855 20449 21299 21907 23465 25289 28025 28825 29887 33275 35321 35695 39325 42185 43681 46475 49855 51623 57475 61009 61655 63415 67925 68027 72865 74945 78529 80275 86515 92807 99275 102245 106495 109535 109681 117325 126445 135641 139513 149435 160303 164879 176605 178475 189449 194857 210925 218405 224939 234289 240977 249275 258115 276887 284791 305045 308275 317075 328757 340135 364325 374725 388531 392645 416233 432575 464035 480491 511225 532475 547675 548405 567853 632225 671099 678205 697565 747175 748297 801515 824395 883025 884351 947245 974285 1020877 1092025 1124695 1171445 1204885 1206491 1290575 1292513 1384435 1423955 1492051 1525225 1534643 1643785 1700675 1763333 1813669 1942655 1963225 2081165 2083939 2143427 2320175 2402455 2577179 2650747 2742025 2839265 3045757 3132701 3355495 3391025 3487825 3599531 3702283 3741485 4007575 4121975 4273841 4421755 4578563 4736225 4871425 5104385 5411029 5623475 5857225 6024425 6032455 6246383 6462565 6922175 7119775 7382089 7460255 7673215 8218925 8231267 8816665 9068345 9713275 9727861 10405825 10419695 10717135 11496563 12012275 12885895 13253735 13271401 14196325 14217643 15228785 15663505 16777475 16802669 17997655 18511415 18707425 19396663 19950359 21369205 22108775 22892815 22923329 23577697 24557747 25521925 27055145 28348969 29158217 30162275 31231915 32312825 33503327 34459711 36910445 37301275 38366075 39594841 40725113 41156335 44083325 45341725 48639305 50364193 52098475 53585675 57482815 59521319 64429475 66268675 66357005 70343377 71088215 76143925 78317525 81202979 84013345 89988275 90543937 92557075 96983315 99751795 106846025 107006471 114464075 114616645 117888485 122788735 126462193 135275725 141744845 145791085 156159575 156394073 167516635 172298555 184552225 184829359 197974205 203625565 205781675 218434697 243196525 251820965 252156619 259354667 270135217 287414075 297606595 319250711 331785025 351716885 355441075 368536597 379056821 406014895 420066725 435543251 447976243 452719685 484916575 498758975 535032355 554006123 573083225 589442425 613943675 632310965 654734509 708724225 728955425 773777147 781970365 837583175 861492775 924146795 989871025 1018127825 1092173485 1177071181 1259104825 1260783095 1296773335 1350676085 1391084123 1488032975 1596253555 1720334803 1758584425 1842682985 1895284105 2030074475 2033122949 2177716255 2239881215 2263598425 2402781667 2675161775 2770030615 2971487387 3161554825 3273672545 3511757821 3868885735 3909851825 4150259243 4620733975 4790975761 4927738673 5460867425 5885355905 6303915475 6483866675 6753380425 6955420615 7202079599 7981267775 8511548617 8601674015 9213414925 9476420525 10165614745 10888581275 11199406075 12013908335 13850153075 14857436935 15301925353 16368362725 17558789105 19344428675 20751296215 22364352439 23954878805 24638693365 26430598337 29426779525 32686361257 34777103075 36010397995 38629336031 42557743085 43008370075 45652851673 50828073725 60069541675 74287184675 76509626765 87793945525 93627034787 103756481075 111821762195 119774394025 123193466825 132152991685 163431806285 180051989975 193146680155 212788715425 228264258365 290736581707 382548133825 424922696341 468135173935 502181368403 559108810975 660764958425 817159031425 965733400775 1141321291825 1453682908535 2124613481705 2340675869675 2510906842015 5523995052433 7268414542675 10623067408525 12554534210075 27619975262165 138099876310825
- Sum of all divisors σ(n): 219096729679680
- Sum of proper divisors (its aliquot sum) s(n): 80996853368855
- 138099876310825 is a deficient number, because the sum of its proper divisors (80996853368855) is less than itself. Its deficiency is 57103022941970
Bases of 138099876310825
- Binary: 111110110011001111000100001001000101111001010012
- Hexadecimal: 0x7D99E2122F29
- Base-36: 1CYA7GQ04P
Squares and roots of 138099876310825
- 138099876310825 squared (1380998763108252) is 19071575837065164012012180625
- 138099876310825 cubed (1380998763108253) is 2633782264151217913534324258835788542765625
-
The
square root of 138099876310825 is 11751590.3736824063 -
The
cube root of 138099876310825 is 51688.9563226495
Scales and comparisons
How big is 138099876310825?- 138,099,876,310,825 seconds is equal to 4,391,148 years, 46 weeks, 4 days, 1 hour, 25 seconds.
-
To count from 1 to 138,099,876,310,825 would take you about ten million, nine hundred seventy-seven thousand, eight hundred seventy-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 138099876310825 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138099876310825
- 138099876310825 backwards is 528013678990831
- The number of decimal digits it has is: 15
- The sum of 138099876310825's digits is 70
- More coming soon!
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