138374758288
138,374,758,288 is an even composite number composed of five prime numbers multiplied together.
What does the number 138374758288 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
138374758288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138374758288:
24 × 133 × 172 × 53 × 257
(2 × 2 × 2 × 2 × 13 × 13 × 13 × 17 × 17 × 53 × 257)See below for interesting mathematical facts about the number 138374758288 from the Numbermatics database.
Names of 138374758288
- Cardinal: 138374758288 can be written as One hundred thirty-eight billion, three hundred seventy-four million, seven hundred fifty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38374758288 × 1011
Factors of 138374758288
Divisors of 138374758288
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 169 208 212 221 257 272 289 338 424 442 514 578 676 689 848 884 901 1028 1156 1352 1378 1768 1802 2056 2197 2312 2704 2756 2873 3341 3536 3604 3757 4112 4369 4394 4624 5512 5746 6682 7208 7514 8738 8788 8957 11024 11492 11713 13364 13621 14416 15028 15317 17476 17576 17914 22984 23426 26728 27242 30056 30634 34952 35152 35828 37349 43433 45968 46852 48841 53456 54484 56797 60112 61268 69904 71656 74273 74698 86866 93704 97682 108968 113594 116441 122536 143312 148546 149396 152269 173732 177073 187408 195364 199121 217936 227188 231557 232882 245072 297092 298792 304538 347464 354146 390728 398242 454376 463114 465764 564629 594184 597584 609076 634933 694928 708292 738361 781456 796484 908752 926228 931528 965549 1129258 1188368 1218152 1269866 1416584 1476722 1592968 1852456 1863056 1931098 1979497 2258516 2301949 2436304 2539732 2588573 2833168 2953444 3010241 3185936 3704912 3862196 3936469 3958994 4517032 4603898 5079464 5177146 5906888 6020482 7724392 7872938 7917988 9034064 9207796 9598693 10158928 10354292 11813776 12040964 12552137 15448784 15745876 15835976 18415592 19197386 20708584 24081928 25104274 29925337 31491752 31671952 33651449 36831184 38394772 39133133 41417168 48163856 50208548 51174097 59850674 62983504 67302898 76789544 78266266 100417096 102348194 119701348 134605796 153579088 156532532 163177781 200834192 204696388 239402696 269211592 313065064 326355562 409392776 478805392 508730729 538423184 626130128 652711124 665263261 818785552 1017461458 1305422248 1330526522 2034922916 2610844496 2661053044 4069845832 5322106088 8139691664 8648422393 10644212176 17296844786 34593689572 69187379144 138374758288
- Sum of all divisors σ(n): 315566208720
- Sum of proper divisors (its aliquot sum) s(n): 177191450432
- 138374758288 is an abundant number, because the sum of its proper divisors (177191450432) is greater than itself. Its abundance is 38816692144
Bases of 138374758288
- Binary: 100000001101111100011100111111100100002
- Hexadecimal: 0x2037C73F90
- Base-36: 1RKGRATS
Squares and roots of 138374758288
- 138374758288 squared (1383747582882) is 19147573731262424690944
- 138374758288 cubed (1383747582883) is 2649540886865096285706179102543872
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The
square root of 138374758288 is 371987.5781366899 -
The
cube root of 138374758288 is 5172.3228489175
Scales and comparisons
How big is 138374758288?- 138,374,758,288 seconds is equal to 4,399 years, 46 weeks, 1 day, 16 hours, 51 minutes, 28 seconds.
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To count from 1 to 138,374,758,288 would take you about eight thousand, seven hundred ninety-nine 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 138374758288 cubic inches would be around 431 feet tall.
Recreational maths with 138374758288
- 138374758288 backwards is 882857473831
- The number of decimal digits it has is: 12
- The sum of 138374758288's digits is 64
- More coming soon!
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