148117008
148,117,008 is an even composite number composed of five prime numbers multiplied together.
148117008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 148117008:
24 × 3 × 132 × 19 × 312
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 31 × 31)See below for interesting mathematical facts about the number 148117008 from the Numbermatics database.
Names of 148117008
- Cardinal: 148117008 can be written as One hundred forty-eight million, one hundred seventeen thousand and eight.
Scientific notation
- Scientific notation: 1.48117008 × 108
Factors of 148117008
Divisors of 148117008
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 169 186 208 228 247 248 304 312 338 372 403 456 494 496 507 589 624 676 741 744 806 912 961 988 1014 1178 1209 1352 1482 1488 1612 1767 1922 1976 2028 2356 2418 2704 2883 2964 3211 3224 3534 3844 3952 4056 4712 4836 5239 5766 5928 6422 6448 7068 7657 7688 8112 9424 9633 9672 10478 11532 11856 12493 12844 14136 15314 15376 15717 18259 19266 19344 20956 22971 23064 24986 25688 28272 30628 31434 36518 37479 38532 41912 45942 46128 49972 51376 54777 61256 62868 73036 74958 77064 83824 91884 99541 99944 109554 122512 125736 146072 149916 154128 162409 183768 199082 199888 219108 237367 251472 292144 298623 299832 324818 367536 398164 438216 474734 487227 597246 599664 649636 712101 796328 876432 949468 974454 1194492 1299272 1424202 1592656 1898936 1948908 2388984 2598544 2848404 3085771 3797872 3897816 4777968 5696808 6171542 7795632 9257313 11393616 12343084 18514626 24686168 37029252 49372336 74058504 148117008
- Sum of all divisors σ(n): 450663120
- Sum of proper divisors (its aliquot sum) s(n): 302546112
- 148117008 is an abundant number, because the sum of its proper divisors (302546112) is greater than itself. Its abundance is 154429104
Bases of 148117008
- Binary: 10001101010000010110000100002
- Hexadecimal: 0x8D41610
- Base-36: 2G6NTC
Squares and roots of 148117008
- 148117008 squared (1481170082) is 21938648058872064
- 148117008 cubed (1481170083) is 3249486910045137974464512
-
The
square root of 148117008 is 12170.3331096565 -
The
cube root of 148117008 is 529.0966074637
Scales and comparisons
How big is 148117008?- 148,117,008 seconds is equal to 4 years, 36 weeks, 6 days, 7 hours, 36 minutes, 48 seconds.
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To count from 1 to 148,117,008 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 148117008 cubic inches would be around 44.1 feet tall.
Recreational maths with 148117008
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