990468864
990,468,864 is an even composite number composed of five prime numbers multiplied together.
990468864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 990468864:
28 × 33 × 7 × 11 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 1861)See below for interesting mathematical facts about the number 990468864 from the Numbermatics database.
Names of 990468864
- Cardinal: 990468864 can be written as Nine hundred ninety million, four hundred sixty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 9.90468864 × 108
Factors of 990468864
Divisors of 990468864
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 99 108 112 126 128 132 144 154 168 176 189 192 198 216 224 231 252 256 264 288 297 308 336 352 378 384 396 432 448 462 504 528 576 594 616 672 693 704 756 768 792 864 896 924 1008 1056 1152 1188 1232 1344 1386 1408 1512 1584 1728 1792 1848 1861 2016 2079 2112 2304 2376 2464 2688 2772 2816 3024 3168 3456 3696 3722 4032 4158 4224 4752 4928 5376 5544 5583 6048 6336 6912 7392 7444 8064 8316 8448 9504 9856 11088 11166 12096 12672 13027 14784 14888 16128 16632 16749 19008 19712 20471 22176 22332 24192 25344 26054 29568 29776 33264 33498 38016 39081 40942 44352 44664 48384 50247 52108 59136 59552 61413 66528 66996 76032 78162 81884 88704 89328 100494 104216 117243 119104 122826 133056 133992 143297 156324 163768 177408 178656 184239 200988 208432 234486 238208 245652 266112 267984 286594 312648 327536 351729 357312 368478 401976 416864 429891 468972 476416 491304 532224 535968 552717 573188 625296 655072 703458 714624 736956 803952 833728 859782 937944 982608 1071936 1105434 1146376 1250592 1289673 1310144 1406916 1429248 1473912 1607904 1667456 1719564 1875888 1965216 2143872 2210868 2292752 2501184 2579346 2620288 2813832 2947824 3215808 3334912 3439128 3751776 3869019 3930432 4287744 4421736 4585504 5002368 5158692 5240576 5627664 5895648 6431616 6878256 7503552 7738038 7860864 8843472 9171008 10004736 10317384 11255328 11791296 12863232 13756512 15007104 15476076 15721728 17686944 18342016 20634768 22510656 23582592 27513024 30014208 30952152 35373888 36684032 41269536 45021312 47165184 55026048 61904304 70747776 82539072 90042624 110052096 123808608 141495552 165078144 247617216 330156288 495234432 990468864
- Sum of all divisors σ(n): 3653690880
- Sum of proper divisors (its aliquot sum) s(n): 2663222016
- 990468864 is an abundant number, because the sum of its proper divisors (2663222016) is greater than itself. Its abundance is 1672753152
Bases of 990468864
- Binary: 1110110000100101011011000000002
- Hexadecimal: 0x3B095B00
- Base-36: GDP6O0
Squares and roots of 990468864
- 990468864 squared (9904688642) is 981028570553450496
- 990468864 cubed (9904688643) is 971678253827619964053356544
-
The
square root of 990468864 is 31471.7153012033 -
The
cube root of 990468864 is 996.8128072611
Scales and comparisons
How big is 990468864?- 990,468,864 seconds is equal to 31 years, 25 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 990,468,864 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 990468864 cubic inches would be around 83.1 feet tall.
Recreational maths with 990468864
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