138306999511008
138,306,999,511,008 is an even composite number composed of four prime numbers multiplied together.
138306999511008 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138306999511008:
25 × 32 × 413 × 1913
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 41 × 41 × 41 × 191 × 191 × 191)See below for interesting mathematical facts about the number 138306999511008 from the Numbermatics database.
Names of 138306999511008
- Cardinal: 138306999511008 can be written as One hundred thirty-eight trillion, three hundred six billion, nine hundred ninety-nine million, five hundred eleven thousand and eight.
Scientific notation
- Scientific notation: 1.38306999511008 × 1014
Factors of 138306999511008
Divisors of 138306999511008
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 191 246 288 328 369 382 492 573 656 738 764 984 1146 1312 1476 1528 1681 1719 1968 2292 2952 3056 3362 3438 3936 4584 5043 5904 6112 6724 6876 7831 9168 10086 11808 13448 13752 15129 15662 18336 20172 23493 26896 27504 30258 31324 36481 40344 46986 53792 55008 60516 62648 68921 70479 72962 80688 93972 109443 121032 125296 137842 140958 145924 161376 187944 206763 218886 242064 250592 275684 281916 291848 321071 328329 375888 413526 437772 484128 551368 563832 583696 620289 642142 656658 751776 827052 875544 963213 1102736 1127664 1167392 1240578 1284284 1313316 1495721 1654104 1751088 1926426 2205472 2255328 2481156 2568568 2626632 2889639 2991442 3308208 3502176 3852852 4487163 4962312 5137136 5253264 5779278 5982884 6616416 6967871 7705704 8974326 9924624 10274272 10506528 11558556 11965768 13163911 13461489 13935742 15411408 17948652 19849248 20903613 23117112 23931536 26327822 26922978 27871484 30822816 35897304 39491733 41807226 46234224 47863072 52655644 53845956 55742968 61324561 62710839 71794608 78983466 83614452 92468448 105311288 107691912 111485936 118475199 122649122 125421678 143589216 157966932 167228904 183973683 210622576 215383824 222971872 236950398 245298244 250843356 285682711 315933864 334457808 367947366 421245152 430767648 473900796 490596488 501686712 551921049 571365422 631867728 668915616 735894732 857048133 947801592 981192976 1003373424 1103842098 1142730844 1263735456 1471789464 1714096266 1895603184 1962385952 2006746848 2207684196 2285461688 2514307001 2571144399 2943578928 3428192532 3791206368 4415368392 4570923376 5028614002 5142288798 5887157856 6856385064 7542921003 8830736784 9141846752 10057228004 10284577596 11712991151 13712770128 15085842006 17661473568 20114456008 20569155192 22628763009 23425982302 27425540256 30171684012 35138973453 40228912016 41138310384 45257526018 46851964604 60343368024 70277946906 80457824032 82276620768 90515052036 93703929208 105416920359 120686736048 140555893812 181030104072 187407858416 210833840718 241373472096 281111787624 362060208144 374815716832 421667681436 480232637191 562223575248 724120416288 843335362872 960465274382 1124447150496 1440697911573 1686670725744 1920930548764 2881395823146 3373341451488 3841861097528 4322093734719 5762791646292 7683722195056 8644187469438 11525583292584 15367444390112 17288374938876 23051166585168 34576749877752 46102333170336 69153499755504 138306999511008
- Sum of all divisors σ(n): 405264956189184
- Sum of proper divisors (its aliquot sum) s(n): 266957956678176
- 138306999511008 is an abundant number, because the sum of its proper divisors (266957956678176) is greater than itself. Its abundance is 128650957167168
Bases of 138306999511008
- Binary: 111110111001010000110111001001101100111111000002
- Hexadecimal: 0x7DCA1B9367E0
- Base-36: 1D0XCWJ080
Squares and roots of 138306999511008
- 138306999511008 squared (1383069995110082) is 19128826113737967151113176064
- 138306999511008 cubed (1383069995110083) is 2645650543958914083760054008726513810112512
-
The
square root of 138306999511008 is 11760399.6322832501 -
The
cube root of 138306999511008 is 51714.7845721875
Scales and comparisons
How big is 138306999511008?- 138,306,999,511,008 seconds is equal to 4,397,734 years, 40 weeks, 1 day, 7 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,306,999,511,008 would take you about ten million, nine hundred ninety-four thousand, three hundred thirty-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 138306999511008 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138306999511008
- 138306999511008 backwards is 800115999603831
- The number of decimal digits it has is: 15
- The sum of 138306999511008's digits is 63
- More coming soon!
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