990000960
990,000,960 is an even composite number composed of six prime numbers multiplied together.
990000960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 990000960:
26 × 3 × 5 × 13 × 23 × 3449
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 3449)See below for interesting mathematical facts about the number 990000960 from the Numbermatics database.
Names of 990000960
- Cardinal: 990000960 can be written as Nine hundred ninety million, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9000096 × 108
Factors of 990000960
Divisors of 990000960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 130 138 156 160 184 192 195 208 230 240 260 276 299 312 320 345 368 390 416 460 480 520 552 598 624 690 736 780 832 897 920 960 1040 1104 1196 1248 1380 1472 1495 1560 1794 1840 2080 2208 2392 2496 2760 2990 3120 3449 3588 3680 4160 4416 4485 4784 5520 5980 6240 6898 7176 7360 8970 9568 10347 11040 11960 12480 13796 14352 17245 17940 19136 20694 22080 23920 27592 28704 34490 35880 41388 44837 47840 51735 55184 57408 68980 71760 79327 82776 89674 95680 103470 110368 134511 137960 143520 158654 165552 179348 206940 220736 224185 237981 269022 275920 287040 317308 331104 358696 396635 413880 448370 475962 538044 551840 634616 662208 672555 717392 793270 827760 896740 951924 1031251 1076088 1103680 1189905 1269232 1345110 1434784 1586540 1655520 1793480 1903848 2062502 2152176 2379810 2538464 2690220 2869568 3093753 3173080 3311040 3586960 3807696 4125004 4304352 4759620 5076928 5156255 5380440 6187506 6346160 7173920 7615392 8250008 8608704 9519240 10312510 10760880 12375012 12692320 14347840 15230784 15468765 16500016 19038480 20625020 21521760 24750024 25384640 30937530 33000032 38076960 41250040 43043520 49500048 61875060 66000064 76153920 82500080 99000096 123750120 165000160 198000192 247500240 330000320 495000480 990000960
- Sum of all divisors σ(n): 3533241600
- Sum of proper divisors (its aliquot sum) s(n): 2543240640
- 990000960 is an abundant number, because the sum of its proper divisors (2543240640) is greater than itself. Its abundance is 1553239680
Bases of 990000960
- Binary: 1110110000001000110111010000002
- Hexadecimal: 0x3B023740
- Base-36: GDF5MO
Squares and roots of 990000960
- 990000960 squared (9900009602) is 980101900800921600
- 990000960 cubed (9900009603) is 970301822690737152884736000
-
The
square root of 990000960 is 31464.2807005021 -
The
cube root of 990000960 is 996.6558155637
Scales and comparisons
How big is 990000960?- 990,000,960 seconds is equal to 31 years, 24 weeks, 6 days, 8 hours, 16 minutes.
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To count from 1 to 990,000,960 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 990000960 cubic inches would be around 83.1 feet tall.
Recreational maths with 990000960
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