990976896
990,976,896 is an even composite number composed of six prime numbers multiplied together.
990976896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 990976896:
27 × 33 × 7 × 13 × 23 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 23 × 137)See below for interesting mathematical facts about the number 990976896 from the Numbermatics database.
Names of 990976896
- Cardinal: 990976896 can be written as Nine hundred ninety million, nine hundred seventy-six thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 9.90976896 × 108
Factors of 990976896
Divisors of 990976896
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 63 64 69 72 78 84 91 92 96 104 108 112 117 126 128 137 138 144 156 161 168 182 184 189 192 207 208 216 224 234 252 273 274 276 288 299 312 322 336 351 364 368 378 384 411 414 416 432 448 468 483 504 546 548 552 576 598 621 624 644 672 702 728 736 756 819 822 828 832 864 896 897 936 959 966 1008 1092 1096 1104 1152 1196 1233 1242 1248 1288 1344 1404 1449 1456 1472 1512 1638 1644 1656 1664 1728 1781 1794 1872 1918 1932 2016 2093 2184 2192 2208 2392 2457 2466 2484 2496 2576 2688 2691 2808 2877 2898 2912 2944 3024 3151 3276 3288 3312 3456 3562 3588 3699 3744 3836 3864 4032 4186 4347 4368 4384 4416 4784 4914 4932 4968 4992 5152 5343 5382 5616 5754 5796 5824 6048 6279 6302 6552 6576 6624 7124 7176 7398 7488 7672 7728 8064 8073 8372 8631 8694 8736 8768 8832 9453 9568 9828 9864 9936 10304 10686 10764 11232 11508 11592 11648 12096 12467 12558 12604 13104 13152 13248 14248 14352 14796 14976 15344 15456 16029 16146 16744 17262 17388 17472 17536 18837 18906 19136 19656 19728 19872 20608 21372 21528 22057 22464 23016 23184 24192 24934 25116 25208 25893 26208 26304 26496 28359 28496 28704 29592 30688 30912 32058 32292 33488 34524 34776 34944 37401 37674 37812 38272 39312 39456 39744 40963 42744 43056 44114 44928 46032 46368 48087 49868 50232 50416 51786 52416 52608 56511 56718 56992 57408 59184 61376 61824 64116 64584 66171 66976 69048 69552 74802 75348 75624 78624 78912 79488 81926 85077 85488 86112 88228 92064 92736 96174 99736 100464 100832 103572 104832 112203 113022 113436 113984 114816 118368 122752 122889 128232 129168 132342 133952 138096 139104 149604 150696 151248 157248 157824 163852 170154 170976 172224 176456 184128 185472 192348 198513 199472 200928 201664 207144 224406 226044 226872 227968 236736 245778 256464 258336 264684 267904 276192 278208 286741 299208 301392 302496 314496 327704 336609 340308 341952 344448 352912 368256 368667 384696 397026 398944 401856 403328 414288 448812 452088 453744 473472 491556 512928 516672 529368 552384 556416 573482 595539 598416 602784 604992 655408 673218 680616 683904 705824 737334 769392 794052 797888 803712 828576 860223 897624 904176 907488 983112 1025856 1033344 1058736 1104768 1106001 1146964 1191078 1196832 1205568 1209984 1310816 1346436 1361232 1411648 1474668 1538784 1588104 1595776 1657152 1720446 1795248 1808352 1814976 1966224 2051712 2117472 2212002 2293928 2382156 2393664 2411136 2580669 2621632 2692872 2722464 2823296 2949336 3077568 3176208 3314304 3440892 3590496 3616704 3629952 3932448 4234944 4424004 4587856 4764312 4787328 5161338 5243264 5385744 5444928 5898672 6155136 6352416 6881784 7180992 7233408 7742007 7864896 8469888 8848008 9175712 9528624 10322676 10771488 10889856 11797344 12704832 13763568 14361984 15484014 15729792 17696016 18351424 19057248 20645352 21542976 23594688 25409664 27527136 30968028 35392032 36702848 38114496 41290704 43085952 47189376 55054272 61936056 70784064 76228992 82581408 110108544 123872112 141568128 165162816 247744224 330325632 495488448 990976896
- Sum of all divisors σ(n): 3783628800
- Sum of proper divisors (its aliquot sum) s(n): 2792651904
- 990976896 is an abundant number, because the sum of its proper divisors (2792651904) is greater than itself. Its abundance is 1801675008
Bases of 990976896
- Binary: 1110110001000100011011100000002
- Hexadecimal: 0x3B111B80
- Base-36: GE02O0
Squares and roots of 990976896
- 990976896 squared (9909768962) is 982035208405794816
- 990976896 cubed (9909768963) is 973174202588687655172571136
-
The
square root of 990976896 is 31479.7855138817 -
The
cube root of 990976896 is 996.9832067773
Scales and comparisons
How big is 990976896?- 990,976,896 seconds is equal to 31 years, 26 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 990,976,896 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 990976896 cubic inches would be around 83.1 feet tall.
Recreational maths with 990976896
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