138320203338
138,320,203,338 is an even composite number composed of six prime numbers multiplied together.
What does the number 138320203338 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
138320203338 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138320203338:
2 × 33 × 192 × 372 × 71 × 73
(2 × 3 × 3 × 3 × 19 × 19 × 37 × 37 × 71 × 73)See below for interesting mathematical facts about the number 138320203338 from the Numbermatics database.
Names of 138320203338
- Cardinal: 138320203338 can be written as One hundred thirty-eight billion, three hundred twenty million, two hundred three thousand, three hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38320203338 × 1011
Factors of 138320203338
Divisors of 138320203338
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 6 9 18 19 27 37 38 54 57 71 73 74 111 114 142 146 171 213 219 222 333 342 361 426 438 513 639 657 666 703 722 999 1026 1083 1278 1314 1349 1369 1387 1406 1917 1971 1998 2109 2166 2627 2698 2701 2738 2774 3249 3834 3942 4047 4107 4161 4218 5183 5254 5402 6327 6498 7881 8094 8103 8214 8322 9747 10366 12141 12321 12483 12654 13357 15549 15762 16206 18981 19494 23643 24282 24309 24642 24966 25631 26011 26353 26714 31098 36423 36963 37449 37962 40071 46647 47286 48618 49913 51262 51319 52022 52706 70929 72846 72927 73926 74898 76893 78033 79059 80142 93294 97199 98477 99826 99937 102638 120213 139941 141858 145854 149739 153786 153957 156066 158118 191771 194398 196954 199874 230679 234099 237177 240426 279882 291597 295431 299478 299811 307914 360639 383542 449217 461358 461871 468198 474354 494209 575313 583194 590862 599622 692037 702297 711531 721278 874791 886293 898434 899433 923742 948347 975061 988418 1150626 1347651 1384074 1385613 1404594 1423062 1482627 1725939 1749582 1772586 1798866 1846781 1871063 1896694 1898803 1950122 2624373 2658879 2695302 2698299 2771226 2845041 2925183 2965254 3451878 3643649 3693562 3742126 3797606 4447881 5177817 5248746 5317758 5396598 5540343 5613189 5690082 5696409 5850366 7095527 7287298 8535123 8775549 8895762 10355634 10930947 11080686 11226378 11392818 13343643 14191054 16621029 16839567 17070246 17089227 17551098 21286581 21861894 25605369 26326647 26687286 32792841 33242058 33679134 34178454 35088839 36077257 42573162 49863087 50518701 51210738 51267681 52653294 63859743 65585682 69229331 70177678 72154514 98378523 99726174 101037402 102535362 105266517 108231771 127719486 134815013 138458662 191579229 196757046 207687993 210533034 216463542 269630026 315799551 324695313 383158458 404445039 415375986 623063979 631599102 649390626 808890078 947398653 974085939 1213335117 1246127958 1869191937 1894797306 1948171878 2426670234 2561485247 3640005351 3738383874 5122970494 7280010702 7684455741 15368911482 23053367223 46106734446 69160101669 138320203338
- Sum of all divisors σ(n): 342739797120
- Sum of proper divisors (its aliquot sum) s(n): 204419593782
- 138320203338 is an abundant number, because the sum of its proper divisors (204419593782) is greater than itself. Its abundance is 66099390444
Bases of 138320203338
- Binary: 100000001101001000011011001110010010102
- Hexadecimal: 0x203486CE4A
- Base-36: 1RJK9ZYI
Squares and roots of 138320203338
- 138320203338 squared (1383202033382) is 19132478651465666342244
- 138320203338 cubed (1383202033383) is 2646408337430675000184852779210472
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The
square root of 138320203338 is 371914.2419133743 -
The
cube root of 138320203338 is 5171.6430213991
Scales and comparisons
How big is 138320203338?- 138,320,203,338 seconds is equal to 4,398 years, 8 weeks, 6 hours, 42 minutes, 18 seconds.
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To count from 1 to 138,320,203,338 would take you about eight thousand, seven hundred ninety-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 138320203338 cubic inches would be around 431 feet tall.
Recreational maths with 138320203338
- 138320203338 backwards is 833302023831
- The number of decimal digits it has is: 12
- The sum of 138320203338's digits is 36
- More coming soon!
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