138003695973
138,003,695,973 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138003695973 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 300 divisors.
138003695973 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 138003695973:
34 × 112 × 134 × 17 × 29
(3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 13 × 17 × 29)See below for interesting mathematical facts about the number 138003695973 from the Numbermatics database.
Names of 138003695973
- Cardinal: 138003695973 can be written as One hundred thirty-eight billion, three million, six hundred ninety-five thousand, nine hundred seventy-three.
Scientific notation
- Scientific notation: 1.38003695973 × 1011
Factors of 138003695973
Divisors of 138003695973
- Number of divisors d(n): 300
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Complete list of divisors:
1 3 9 11 13 17 27 29 33 39 51 81 87 99 117 121 143 153 169 187 221 261 297 319 351 363 377 429 459 493 507 561 663 783 891 957 1053 1089 1131 1287 1377 1479 1521 1573 1683 1859 1989 2057 2197 2349 2431 2871 2873 3267 3393 3509 3861 4147 4437 4563 4719 4901 5049 5423 5577 5967 6171 6409 6591 7293 8613 8619 9801 10179 10527 11583 12441 13311 13689 14157 14703 15147 16269 16731 17901 18513 19227 19773 20449 21879 24167 25839 25857 26741 28561 30537 31581 31603 37323 37349 39933 42471 44109 45617 48807 50193 53911 55539 57681 59319 59653 61347 63713 65637 70499 72501 77571 80223 83317 85683 94743 94809 111969 112047 127413 132327 136851 146421 150579 161733 166617 173043 177957 178959 184041 191139 196911 211497 217503 232713 240669 249951 257049 265837 284229 284427 314171 335907 336141 347633 396981 410553 410839 439263 485199 485537 519129 536877 552123 573417 593021 634491 652509 700843 722007 749853 771147 775489 797511 828269 853281 916487 942513 1008423 1042899 1083121 1231659 1232517 1455597 1456611 1610631 1656369 1720251 1779063 1903473 1957527 2102529 2166021 2249559 2313441 2326467 2392533 2484807 2559843 2749461 2827539 3025269 3128697 3249363 3455881 3694977 3697551 4366791 4369833 4519229 4831893 5160753 5337189 5340907 5710419 6307587 6748677 6979401 7177599 7454421 7709273 8248383 8482617 9110959 9386091 9748089 10081357 10367643 11092653 11914331 13109499 13557687 14080573 16011567 16022721 18922761 20938203 21532797 22363263 23127819 24745149 25447851 27332877 28158273 29244267 30244071 31102929 33277959 35742993 39328497 40673061 42241719 48034701 48068163 56768283 58749977 62814609 67089789 69383457 74235447 81998631 87732801 90732213 93308787 100220549 107228979 122019183 126725157 131057641 144204489 154886303 176249931 208150371 245995893 272196639 279926361 300661647 321686937 366057549 380175471 393172923 432613467 464658909 528749793 624451113 737987679 816589917 901984941 965060811 1140526413 1179518769 1393976727 1586249379 1703749333 2705954823 3538556307 4181930181 4758748137 5111247999 8117864469 10615668921 12545790543 15333743997 46001231991 138003695973
- Sum of all divisors σ(n): 268884097020
- Sum of proper divisors (its aliquot sum) s(n): 130880401047
- 138003695973 is a deficient number, because the sum of its proper divisors (130880401047) is less than itself. Its deficiency is 7123294926
Bases of 138003695973
- Binary: 100000001000011010100101001001011001012
- Hexadecimal: 0x2021A94965
- Base-36: 1REBU5B9
Squares and roots of 138003695973
- 138003695973 squared (1380036959732) is 19045020102208216416729
- 138003695973 cubed (1380036959733) is 2628283163984816084316856387132317
-
The
square root of 138003695973 is 371488.4869992609 -
The
cube root of 138003695973 is 5167.6953859905
Scales and comparisons
How big is 138003695973?- 138,003,695,973 seconds is equal to 4,388 years, 4 weeks, 4 days, 23 hours, 59 minutes, 33 seconds.
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To count from 1 to 138,003,695,973 would take you about eight thousand, seven hundred seventy-six 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 138003695973 cubic inches would be around 430.6 feet tall.
Recreational maths with 138003695973
- 138003695973 backwards is 379596300831
- The number of decimal digits it has is: 12
- The sum of 138003695973's digits is 54
- More coming soon!
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