148668768
148,668,768 is an even composite number composed of five prime numbers multiplied together.
148668768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 148668768:
25 × 32 × 19 × 101 × 269
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 101 × 269)See below for interesting mathematical facts about the number 148668768 from the Numbermatics database.
Names of 148668768
- Cardinal: 148668768 can be written as One hundred forty-eight million, six hundred sixty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.48668768 × 108
Factors of 148668768
Divisors of 148668768
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 101 114 144 152 171 202 228 269 288 303 304 342 404 456 538 606 608 684 807 808 909 912 1076 1212 1368 1614 1616 1818 1824 1919 2152 2421 2424 2736 3228 3232 3636 3838 4304 4842 4848 5111 5472 5757 6456 7272 7676 8608 9684 9696 10222 11514 12912 14544 15333 15352 17271 19368 20444 23028 25824 27169 29088 30666 30704 34542 38736 40888 45999 46056 54338 61332 61408 69084 77472 81507 81776 91998 92112 108676 122664 138168 163014 163552 183996 184224 217352 244521 245328 276336 326028 367992 434704 489042 490656 516211 552672 652056 735984 869408 978084 1032422 1304112 1471968 1548633 1956168 2064844 2608224 3097266 3912336 4129688 4645899 6194532 7824672 8259376 9291798 12389064 16518752 18583596 24778128 37167192 49556256 74334384 148668768
- Sum of all divisors σ(n): 451105200
- Sum of proper divisors (its aliquot sum) s(n): 302436432
- 148668768 is an abundant number, because the sum of its proper divisors (302436432) is greater than itself. Its abundance is 153767664
Bases of 148668768
- Binary: 10001101110010000001011000002
- Hexadecimal: 0x8DC8160
- Base-36: 2GIHK0
Squares and roots of 148668768
- 148668768 squared (1486687682) is 22102402578637824
- 148668768 cubed (1486687683) is 3285936961206108412280832
-
The
square root of 148668768 is 12192.9802755519 -
The
cube root of 148668768 is 529.7527837201
Scales and comparisons
How big is 148668768?- 148,668,768 seconds is equal to 4 years, 37 weeks, 5 days, 16 hours, 52 minutes, 48 seconds.
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To count from 1 to 148,668,768 would take you about seven 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 148668768 cubic inches would be around 44.1 feet tall.
Recreational maths with 148668768
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