1338168086073
1,338,168,086,073 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 1338168086073 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
1338168086073 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 1338168086073:
32 × 72 × 13 × 17 × 19 × 37 × 19531
(3 × 3 × 7 × 7 × 13 × 17 × 19 × 37 × 19531)See below for interesting mathematical facts about the number 1338168086073 from the Numbermatics database.
Names of 1338168086073
- Cardinal: 1338168086073 can be written as One trillion, three hundred thirty-eight billion, one hundred sixty-eight million, eighty-six thousand and seventy-three.
Scientific notation
- Scientific notation: 1.338168086073 × 1012
Factors of 1338168086073
Divisors of 1338168086073
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 7 9 13 17 19 21 37 39 49 51 57 63 91 111 117 119 133 147 153 171 221 247 259 273 323 333 357 399 441 481 629 637 663 703 741 777 819 833 931 969 1071 1197 1443 1547 1729 1813 1887 1911 1989 2109 2223 2261 2331 2499 2793 2907 3367 4199 4329 4403 4641 4921 5187 5439 5661 5733 6327 6783 7497 8177 8379 9139 10101 10829 11951 12103 12597 13209 13923 14763 15561 15827 16317 19531 20349 23569 24531 27417 29393 30303 30821 32487 34447 35853 36309 37791 39627 44289 47481 57239 58593 63973 70707 73593 82251 83657 88179 92463 97461 103341 107559 108927 136717 142443 155363 171717 175779 191919 205751 212121 250971 253903 264537 277389 310023 332027 371089 400673 410151 447811 466089 515151 575757 585599 617253 722647 752913 761709 957019 996081 1087541 1113267 1202019 1230453 1343433 1398267 1756797 1777321 1851759 2167941 2285127 2324189 2597623 2871057 2988243 3262623 3339801 3606057 4030299 4316351 4824157 5058529 5270391 5331963 6308513 6503823 6972567 7612787 7792869 8613171 9394411 9787869 12284999 12441247 12949053 13730293 14472471 15175587 15995889 16269323 18183361 18925539 20917701 22838361 23378607 28183233 30214457 33769099 35409703 36854997 37323741 38847159 41190879 43417413 44159591 45526761 48807969 54550083 56776617 65760877 68515083 82010669 84549699 85994993 90643371 96112051 101307297 106229109 110564991 111971223 123572637 132478773 146423907 159704987 163650249 178493809 197282631 211501199 233414981 236383693 246032007 257984979 271930113 288336153 303921891 309117137 318687327 397436319 460326139 479114961 535481427 574074683 591847893 601964951 634503597 672784357 700244943 709151079 738096021 773954937 865008459 927351411 1117934909 1249456663 1380978417 1437344883 1606444281 1633904867 1722224049 1805894853 1903510791 2018353071 2100734829 2127453237 2782054233 3034394753 3353804727 3748369989 4018522781 4142935251 4901714601 5166672147 5417684559 6055059213 7825544363 8746196641 9103184259 10061414181 11245109967 11437334069 12055568343 14705143803 21240763271 23476633089 26238589923 27309552777 34312002207 36166705029 63722289813 70429899267 78715769769 102936006621 148685342897 191166869439 446056028691 1338168086073
- Sum of all divisors σ(n): 2771909562240
- Sum of proper divisors (its aliquot sum) s(n): 1433741476167
- 1338168086073 is an abundant number, because the sum of its proper divisors (1433741476167) is greater than itself. Its abundance is 95573390094
Bases of 1338168086073
- Binary: 100110111100100010000100010001110001110012
- Hexadecimal: 0x13791088E39
- Base-36: H2QUQ7G9
Squares and roots of 1338168086073
- 1338168086073 squared (13381680860732) is 1790693826584275936561329
- 1338168086073 cubed (13381680860733) is 2396249330663017097064783192915271017
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The
square root of 1338168086073 is 1156792.1533590207 -
The
cube root of 1338168086073 is 11019.7114505563
Scales and comparisons
How big is 1338168086073?- 1,338,168,086,073 seconds is equal to 42,549 years, 31 weeks, 3 days, 13 hours, 14 minutes, 33 seconds.
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To count from 1 to 1,338,168,086,073 would take you about one hundred six thousand, three hundred seventy-four 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 1338168086073 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338168086073
- 1338168086073 backwards is 3706808618331
- The number of decimal digits it has is: 13
- The sum of 1338168086073's digits is 54
- More coming soon!
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