990137148
990,137,148 is an even composite number composed of seven prime numbers multiplied together.
990137148 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 990137148:
22 × 3 × 7 × 11 × 13 × 31 × 2659
(2 × 2 × 3 × 7 × 11 × 13 × 31 × 2659)See below for interesting mathematical facts about the number 990137148 from the Numbermatics database.
Names of 990137148
- Cardinal: 990137148 can be written as Nine hundred ninety million, one hundred thirty-seven thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 9.90137148 × 108
Factors of 990137148
Divisors of 990137148
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 11 12 13 14 21 22 26 28 31 33 39 42 44 52 62 66 77 78 84 91 93 124 132 143 154 156 182 186 217 231 273 286 308 341 364 372 403 429 434 462 546 572 651 682 806 858 868 924 1001 1023 1092 1209 1302 1364 1612 1716 2002 2046 2387 2418 2604 2659 2821 3003 4004 4092 4433 4774 4836 5318 5642 6006 7161 7977 8463 8866 9548 10636 11284 12012 13299 14322 15954 16926 17732 18613 26598 28644 29249 31031 31908 33852 34567 37226 53196 55839 58498 62062 69134 74452 82429 87747 93093 103701 111678 116996 124124 138268 164858 175494 186186 204743 207402 223356 241969 247287 329716 350988 372372 380237 409486 414804 483938 494574 577003 614229 725907 760474 818972 906719 967876 989148 1071577 1140711 1154006 1228458 1451814 1520948 1731009 1813438 2143154 2281422 2308012 2456916 2661659 2720157 2903628 3214731 3462018 3626876 4286308 4562844 5323318 5440314 6347033 6429462 6924036 7501039 7984977 10646636 10880628 11787347 12694066 12858924 15002078 15969954 19041099 22503117 23574694 25388132 30004156 31939908 35362041 38082198 45006234 47149388 70724082 76164396 82511429 90012468 141448164 165022858 247534287 330045716 495068574 990137148
- Sum of all divisors σ(n): 3203235840
- Sum of proper divisors (its aliquot sum) s(n): 2213098692
- 990137148 is an abundant number, because the sum of its proper divisors (2213098692) is greater than itself. Its abundance is 1222961544
Bases of 990137148
- Binary: 1110110000010001001011001111002
- Hexadecimal: 0x3B044B3C
- Base-36: GDI2PO
Squares and roots of 990137148
- 990137148 squared (9901371482) is 980371571849573904
- 990137148 cubed (9901371483) is 970702312131414190321785792
-
The
square root of 990137148 is 31466.4447944155 -
The
cube root of 990137148 is 996.7015146235
Scales and comparisons
How big is 990137148?- 990,137,148 seconds is equal to 31 years, 25 weeks, 22 hours, 5 minutes, 48 seconds.
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To count from 1 to 990,137,148 would take you about forty-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 990137148 cubic inches would be around 83.1 feet tall.
Recreational maths with 990137148
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