146984992
146,984,992 is an even composite number composed of five prime numbers multiplied together.
146984992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 146984992:
25 × 7 × 113 × 17 × 29
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 17 × 29)See below for interesting mathematical facts about the number 146984992 from the Numbermatics database.
Names of 146984992
- Cardinal: 146984992 can be written as One hundred forty-six million, nine hundred eighty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.46984992 × 108
Factors of 146984992
Divisors of 146984992
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 29 32 34 44 56 58 68 77 88 112 116 119 121 136 154 176 187 203 224 232 238 242 272 308 319 352 374 406 464 476 484 493 544 616 638 748 812 847 928 952 968 986 1232 1276 1309 1331 1496 1624 1694 1904 1936 1972 2057 2233 2464 2552 2618 2662 2992 3248 3388 3451 3509 3808 3872 3944 4114 4466 5104 5236 5324 5423 5984 6496 6776 6902 7018 7888 8228 8932 9317 10208 10472 10648 10846 13552 13804 14036 14399 15776 16456 17864 18634 20944 21296 21692 22627 24563 27104 27608 28072 28798 32912 35728 37268 37961 38599 41888 42592 43384 45254 49126 55216 56144 57596 59653 65824 71456 74536 75922 77198 86768 90508 98252 110432 112288 115192 119306 149072 151844 154396 158389 173536 181016 196504 230384 238612 270193 298144 303688 308792 316778 362032 393008 417571 460768 477224 540386 607376 617584 633556 656183 724064 786016 835142 954448 1080772 1214752 1235168 1267112 1312366 1670284 1908896 2161544 2534224 2624732 3340568 4323088 4593281 5068448 5249464 6681136 8646176 9186562 10498928 13362272 18373124 20997856 36746248 73492496 146984992
- Sum of all divisors σ(n): 398442240
- Sum of proper divisors (its aliquot sum) s(n): 251457248
- 146984992 is an abundant number, because the sum of its proper divisors (251457248) is greater than itself. Its abundance is 104472256
Bases of 146984992
- Binary: 10001100001011010000001000002
- Hexadecimal: 0x8C2D020
- Base-36: 2FIECG
Squares and roots of 146984992
- 146984992 squared (1469849922) is 21604587873240064
- 146984992 cubed (1469849923) is 3175550175711487821119488
-
The
square root of 146984992 is 12123.7367176957 -
The
cube root of 146984992 is 527.7452474757
Scales and comparisons
How big is 146984992?- 146,984,992 seconds is equal to 4 years, 35 weeks, 5 hours, 9 minutes, 52 seconds.
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To count from 1 to 146,984,992 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 146984992 cubic inches would be around 44 feet tall.
Recreational maths with 146984992
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