148959216
148,959,216 is an even composite number composed of five prime numbers multiplied together.
148959216 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 148959216:
24 × 33 × 72 × 31 × 227
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 31 × 227)See below for interesting mathematical facts about the number 148959216 from the Numbermatics database.
Names of 148959216
- Cardinal: 148959216 can be written as One hundred forty-eight million, nine hundred fifty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.48959216 × 108
Factors of 148959216
Divisors of 148959216
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 49 54 56 62 63 72 84 93 98 108 112 124 126 144 147 168 186 189 196 216 217 227 248 252 279 294 336 372 378 392 432 434 441 454 496 504 558 588 651 681 744 756 784 837 868 882 908 1008 1116 1176 1302 1323 1362 1488 1512 1519 1589 1674 1736 1764 1816 1953 2043 2232 2352 2604 2646 2724 3024 3038 3178 3348 3472 3528 3632 3906 4086 4464 4557 4767 5208 5292 5448 5859 6076 6129 6356 6696 7037 7056 7812 8172 9114 9534 10416 10584 10896 11123 11718 12152 12258 12712 13392 13671 14074 14301 15624 16344 18228 19068 21111 21168 22246 23436 24304 24516 25424 27342 28148 28602 31248 32688 33369 36456 38136 41013 42222 42903 44492 46872 49032 49259 54684 56296 57204 63333 66738 72912 76272 82026 84444 85806 88984 93744 98064 98518 100107 109368 112592 114408 126666 133476 147777 164052 168888 171612 177968 189999 197036 200214 218736 228816 253332 266952 295554 300321 328104 337776 343224 344813 379998 394072 400428 443331 506664 533904 591108 600642 656208 686448 689626 759996 788144 800856 886662 1013328 1034439 1182216 1201284 1329993 1379252 1519992 1601712 1773324 2068878 2364432 2402568 2659986 2758504 3039984 3103317 3546648 4137756 4805136 5319972 5517008 6206634 7093296 8275512 9309951 10639944 12413268 16551024 18619902 21279888 24826536 37239804 49653072 74479608 148959216
- Sum of all divisors σ(n): 515681280
- Sum of proper divisors (its aliquot sum) s(n): 366722064
- 148959216 is an abundant number, because the sum of its proper divisors (366722064) is greater than itself. Its abundance is 217762848
Bases of 148959216
- Binary: 10001110000011101111111100002
- Hexadecimal: 0x8E0EFF0
- Base-36: 2GOPO0
Squares and roots of 148959216
- 148959216 squared (1489592162) is 22188848031334656
- 148959216 cubed (1489592163) is 3305233406690753791389696
-
The
square root of 148959216 is 12204.8849236687 -
The
cube root of 148959216 is 530.0975446425
Scales and comparisons
How big is 148959216?- 148,959,216 seconds is equal to 4 years, 38 weeks, 2 days, 1 hour, 33 minutes, 36 seconds.
-
To count from 1 to 148,959,216 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 148959216 cubic inches would be around 44.2 feet tall.
Recreational maths with 148959216
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