990253152
990,253,152 is an even composite number composed of five prime numbers multiplied together.
990253152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 990253152:
25 × 32 × 72 × 47 × 1493
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 47 × 1493)See below for interesting mathematical facts about the number 990253152 from the Numbermatics database.
Names of 990253152
- Cardinal: 990253152 can be written as Nine hundred ninety million, two hundred fifty-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 9.90253152 × 108
Factors of 990253152
Divisors of 990253152
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 49 56 63 72 84 94 96 98 112 126 141 144 147 168 188 196 224 252 282 288 294 329 336 376 392 423 441 504 564 588 658 672 752 784 846 882 987 1008 1128 1176 1316 1493 1504 1568 1692 1764 1974 2016 2256 2303 2352 2632 2961 2986 3384 3528 3948 4479 4512 4606 4704 5264 5922 5972 6768 6909 7056 7896 8958 9212 10451 10528 11844 11944 13437 13536 13818 14112 15792 17916 18424 20727 20902 23688 23888 26874 27636 31353 31584 35832 36848 41454 41804 47376 47776 53748 55272 62706 70171 71664 73157 73696 82908 83608 94059 94752 107496 110544 125412 140342 143328 146314 165816 167216 188118 210513 214992 219471 221088 250824 280684 292628 331632 334432 376236 421026 429984 438942 491197 501648 561368 585256 631539 658413 663264 752472 842052 877884 982394 1003296 1122736 1170512 1263078 1316826 1473591 1504944 1684104 1755768 1964788 2245472 2341024 2526156 2633652 2947182 3009888 3368208 3438379 3511536 3929576 4420773 5052312 5267304 5894364 6736416 6876758 7023072 7859152 8841546 10104624 10315137 10534608 11788728 13753516 15718304 17683092 20209248 20630274 21069216 23577456 27507032 30945411 35366184 41260548 47154912 55014064 61890822 70732368 82521096 110028128 123781644 141464736 165042192 247563288 330084384 495126576 990253152
- Sum of all divisors σ(n): 3347731296
- Sum of proper divisors (its aliquot sum) s(n): 2357478144
- 990253152 is an abundant number, because the sum of its proper divisors (2357478144) is greater than itself. Its abundance is 1367224992
Bases of 990253152
- Binary: 1110110000011000010000011000002
- Hexadecimal: 0x3B061060
- Base-36: GDKK80
Squares and roots of 990253152
- 990253152 squared (9902531522) is 980601305045935104
- 990253152 cubed (9902531523) is 971043533177050741523447808
-
The
square root of 990253152 is 31468.2880373241 -
The
cube root of 990253152 is 996.7404374627
Scales and comparisons
How big is 990253152?- 990,253,152 seconds is equal to 31 years, 25 weeks, 2 days, 6 hours, 19 minutes, 12 seconds.
-
To count from 1 to 990,253,152 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 990253152 cubic inches would be around 83.1 feet tall.
Recreational maths with 990253152
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