138948108075
138,948,108,075 is an odd composite number composed of five prime numbers multiplied together.
138948108075 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138948108075:
33 × 52 × 73 × 47 × 1132
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 47 × 113 × 113)See below for interesting mathematical facts about the number 138948108075 from the Numbermatics database.
Names of 138948108075
- Cardinal: 138948108075 can be written as One hundred thirty-eight billion, nine hundred forty-eight million, one hundred eight thousand and seventy-five.
Scientific notation
- Scientific notation: 1.38948108075 × 1011
Factors of 138948108075
Divisors of 138948108075
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 47 49 63 75 105 113 135 141 147 175 189 225 235 245 315 329 339 343 423 441 525 565 675 705 735 791 945 987 1017 1029 1175 1225 1269 1323 1575 1645 1695 1715 2115 2205 2303 2373 2825 2961 3051 3087 3525 3675 3955 4725 4935 5085 5145 5311 5537 6345 6615 6909 7119 8225 8475 8575 8883 9261 10575 11025 11515 11865 12769 14805 15255 15435 15933 16121 16611 19775 20727 21357 24675 25425 25725 26555 27685 31725 33075 34545 35595 37177 38307 38759 44415 46305 47799 48363 49833 57575 59325 62181 63845 74025 76275 77175 79665 80605 83055 89383 103635 106785 111531 114921 116277 132775 138425 143397 145089 149499 172725 177975 185885 191535 193795 222075 231525 238995 241815 249165 260239 268149 310905 319225 334593 344763 348831 398325 403025 415275 435267 446915 518175 533925 557655 574605 581385 600143 625681 716985 725445 747495 780717 804447 929425 957675 968975 1003779 1046493 1194975 1209075 1245825 1301195 1340745 1554525 1672965 1723815 1744155 1800429 1821673 1877043 2176335 2234575 2342151 2413341 2788275 2873025 2906925 3000715 3128405 3584925 3627225 3737475 3903585 4022235 4201001 4379767 5018895 5232465 5401287 5465019 5631129 6505975 6703725 7026453 8364825 8619075 8720775 9002145 9108365 9385215 10881675 11710755 12066705 12603003 13139301 15003575 15642025 16203861 16395057 16893387 19517925 20111175 21005005 21898835 25094475 26162325 27006435 27325095 28155645 29407007 35132265 37809009 39417903 45010725 45541825 46926075 49185171 58553775 60333525 63015015 65696505 81019305 81975285 84466935 88221021 105025025 109494175 113427027 118253709 135032175 136625475 140778225 147035035 175661325 189045045 197089515 205849049 245925855 264663063 315075075 328482525 405096525 409876425 422334675 441105105 567135135 591268545 617547147 735175175 793989189 945225225 985447575 1029245245 1229629275 1323315315 1852641441 2205525525 2835675675 2956342725 3087735735 3969945945 5146226225 5557924323 6616576575 9263207205 15438678675 19849729725 27789621615 46316036025 138948108075
- Sum of all divisors σ(n): 306718464000
- Sum of proper divisors (its aliquot sum) s(n): 167770355925
- 138948108075 is an abundant number, because the sum of its proper divisors (167770355925) is greater than itself. Its abundance is 28822247850
Bases of 138948108075
- Binary: 100000010110011111001111011111001010112
- Hexadecimal: 0x2059F3DF2B
- Base-36: 1RTY46CR
Squares and roots of 138948108075
- 138948108075 squared (1389481080752) is 19306576737621880205625
- 138948108075 cubed (1389481080753) is 2682612311097365929295885722921875
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The
square root of 138948108075 is 372757.4386581709 -
The
cube root of 138948108075 is 5179.4567697923
Scales and comparisons
How big is 138948108075?- 138,948,108,075 seconds is equal to 4,418 years, 6 weeks, 1 day, 16 hours, 41 minutes, 15 seconds.
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To count from 1 to 138,948,108,075 would take you about eight thousand, eight 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 138948108075 cubic inches would be around 431.6 feet tall.
Recreational maths with 138948108075
- 138948108075 backwards is 570801849831
- The number of decimal digits it has is: 12
- The sum of 138948108075's digits is 54
- More coming soon!
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