138348756312
138,348,756,312 is an even composite number composed of six prime numbers multiplied together.
138348756312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138348756312:
23 × 3 × 13 × 17 × 37 × 893
(2 × 2 × 2 × 3 × 13 × 17 × 37 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138348756312 from the Numbermatics database.
Names of 138348756312
- Cardinal: 138348756312 can be written as One hundred thirty-eight billion, three hundred forty-eight million, seven hundred fifty-six thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38348756312 × 1011
Factors of 138348756312
Divisors of 138348756312
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 89 102 104 111 136 148 156 178 204 221 222 267 296 312 356 408 442 444 481 534 629 663 712 884 888 962 1068 1157 1258 1326 1443 1513 1768 1887 1924 2136 2314 2516 2652 2886 3026 3293 3471 3774 3848 4539 4628 5032 5304 5772 6052 6586 6942 7548 7921 8177 9078 9256 9879 11544 12104 13172 13884 15096 15842 16354 18156 19669 19758 23763 24531 26344 27768 31684 32708 36312 39338 39516 42809 47526 49062 55981 59007 63368 65416 78676 79032 85618 95052 98124 102973 111962 118014 128427 134657 157352 167943 171236 190104 196248 205946 223924 236028 256854 269314 293077 308919 335886 342472 403971 411892 447848 472056 513708 538628 586154 617838 671772 704969 727753 807942 823784 879231 1027416 1077256 1172308 1235676 1343544 1409938 1455506 1615884 1750541 1758462 2114907 2183259 2344616 2471352 2819876 2911012 3231768 3501082 3516924 3810001 4229814 4366518 4982309 5251623 5639752 5822024 7002164 7033848 7620002 8459628 8733036 9164597 9964618 10503246 11430003 11984473 14004328 14946927 15240004 16919256 17466072 18329194 19929236 21006492 22860006 23968946 26083853 27493791 29893854 30480008 35953419 36658388 39858472 42012984 45720012 47937892 52167706 54987582 59787708 64770017 71906838 73316776 78251559 91440024 95875784 104335412 109975164 119575416 129540034 143813676 155798149 156503118 194310051 208670824 219950328 259080068 287627352 311596298 313006236 339090089 388620102 443425501 467394447 518160136 623192596 626012472 678180178 777240204 886851002 934788894 1017270267 1246385192 1330276503 1356360356 1554480408 1773702004 1869577788 2034540534 2660553006 2712720712 3547404008 3739155576 4069081068 5321106012 5764531513 8138162136 10642212024 11529063026 17293594539 23058126052 34587189078 46116252104 69174378156 138348756312
- Sum of all divisors σ(n): 409649788800
- Sum of proper divisors (its aliquot sum) s(n): 271301032488
- 138348756312 is an abundant number, because the sum of its proper divisors (271301032488) is greater than itself. Its abundance is 132952276176
Bases of 138348756312
- Binary: 100000001101100011101001111101010110002
- Hexadecimal: 0x20363A7D58
- Base-36: 1RK19ZKO
Squares and roots of 138348756312
- 138348756312 squared (1383487563122) is 19140378373077159841344
- 138348756312 cubed (1383487563123) is 2648047543256327008463173638563328
-
The
square root of 138348756312 is 371952.6264351417 -
The
cube root of 138348756312 is 5171.9988518697
Scales and comparisons
How big is 138348756312?- 138,348,756,312 seconds is equal to 4,399 years, 3 weeks, 1 day, 18 hours, 5 minutes, 12 seconds.
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To count from 1 to 138,348,756,312 would take you about eight thousand, seven hundred ninety-eight 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 138348756312 cubic inches would be around 431 feet tall.
Recreational maths with 138348756312
- 138348756312 backwards is 213657843831
- 138348756312 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138348756312's digits is 51
- More coming soon!
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