990131688
990,131,688 is an even composite number composed of six prime numbers multiplied together.
990131688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990131688:
23 × 35 × 7 × 13 × 29 × 193
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 29 × 193)See below for interesting mathematical facts about the number 990131688 from the Numbermatics database.
Names of 990131688
- Cardinal: 990131688 can be written as Nine hundred ninety million, one hundred thirty-one thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 9.90131688 × 108
Factors of 990131688
Divisors of 990131688
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 29 36 39 42 52 54 56 58 63 72 78 81 84 87 91 104 108 116 117 126 156 162 168 174 182 189 193 203 216 232 234 243 252 261 273 312 324 348 351 364 377 378 386 406 468 486 504 522 546 567 579 609 648 696 702 728 754 756 772 783 812 819 936 972 1044 1053 1092 1131 1134 1158 1218 1351 1404 1508 1512 1544 1566 1624 1638 1701 1737 1827 1944 2088 2106 2184 2262 2268 2316 2349 2436 2457 2509 2639 2702 2808 3016 3132 3159 3276 3393 3402 3474 3654 4053 4212 4524 4536 4632 4698 4872 4914 5018 5211 5278 5404 5481 5597 6264 6318 6552 6786 6804 6948 7047 7308 7371 7527 7917 8106 8424 9048 9396 9828 10036 10179 10422 10556 10808 10962 11194 12159 12636 13572 13608 13896 14094 14616 14742 15054 15633 15834 16212 16443 16791 17563 18792 19656 20072 20358 20844 21112 21924 22113 22388 22581 23751 24318 25272 27144 28188 29484 30108 30537 31266 31668 32424 32886 33582 35126 36477 39179 40716 41688 43848 44226 44776 45162 46899 47502 48636 49329 50373 52689 56376 58968 60216 61074 62532 63336 65772 67164 67743 70252 71253 72761 72954 78358 81432 88452 90324 91611 93798 95004 97272 98658 100746 105378 109431 117537 122148 125064 131544 134328 135486 140504 142506 145522 145908 151119 156716 158067 176904 180648 183222 187596 190008 197316 201492 203229 210756 213759 218283 218862 235074 244296 270972 285012 291044 291816 302238 313432 316134 328293 352611 366444 375192 394632 402984 406458 421512 427518 436566 437724 453357 470148 474201 509327 541944 570024 582088 604476 609687 632268 641277 654849 656586 705222 732888 812916 855036 873132 875448 906714 940296 948402 1018654 1057833 1208952 1219374 1264536 1282554 1309698 1313172 1360071 1410444 1422603 1527981 1625832 1710072 1746264 1813428 1896804 1964547 2037308 2115666 2438748 2565108 2619396 2626344 2720142 2820888 2845206 3055962 3173499 3626856 3793608 3929094 4074616 4231332 4267809 4583943 4877496 5130216 5238792 5440284 5690412 5893641 6111924 6346998 7858188 8462664 8535618 9167886 9520497 10880568 11380824 11787282 12223848 12693996 13751829 15716376 17071236 17680923 18335772 19040994 23574564 25387992 27503658 34142472 35361846 36671544 38081988 41255487 47149128 55007316 70723692 76163976 82510974 110014632 123766461 141447384 165021948 247532922 330043896 495065844 990131688
- Sum of all divisors σ(n): 3559046400
- Sum of proper divisors (its aliquot sum) s(n): 2568914712
- 990131688 is an abundant number, because the sum of its proper divisors (2568914712) is greater than itself. Its abundance is 1578783024
Bases of 990131688
- Binary: 1110110000010000110101111010002
- Hexadecimal: 0x3B0435E8
- Base-36: GDHYI0
Squares and roots of 990131688
- 990131688 squared (9901316882) is 980360759581729344
- 990131688 cubed (9901316883) is 970686253733619849333852672
-
The
square root of 990131688 is 31466.3580352097 -
The
cube root of 990131688 is 996.6996825539
Scales and comparisons
How big is 990131688?- 990,131,688 seconds is equal to 31 years, 25 weeks, 20 hours, 34 minutes, 48 seconds.
-
To count from 1 to 990,131,688 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 990131688 cubic inches would be around 83.1 feet tall.
Recreational maths with 990131688
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