990465946080
990,465,946,080 is an even composite number composed of seven prime numbers multiplied together.
990465946080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990465946080:
25 × 3 × 5 × 13 × 307 × 683 × 757
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 307 × 683 × 757)See below for interesting mathematical facts about the number 990465946080 from the Numbermatics database.
Names of 990465946080
- Cardinal: 990465946080 can be written as Nine hundred ninety billion, four hundred sixty-five million, nine hundred forty-six thousand and eighty.
Scientific notation
- Scientific notation: 9.9046594608 × 1011
Factors of 990465946080
Divisors of 990465946080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 307 312 390 416 480 520 614 624 683 757 780 921 1040 1228 1248 1366 1514 1535 1560 1842 2049 2080 2271 2456 2732 3028 3070 3120 3415 3684 3785 3991 4098 4542 4605 4912 5464 6056 6140 6240 6830 7368 7570 7982 8196 8879 9084 9210 9824 9841 10245 10928 11355 11973 12112 12280 13660 14736 15140 15964 16392 17758 18168 18420 19682 19955 20490 21856 22710 23946 24224 24560 26637 27320 29472 29523 30280 31928 32784 35516 36336 36840 39364 39910 40980 44395 45420 47892 49120 49205 53274 54640 59046 59865 60560 63856 65568 71032 72672 73680 78728 79820 81960 88790 90840 95784 98410 106548 109280 118092 119730 121120 127712 133185 142064 147360 147615 157456 159640 163920 177580 181680 191568 196820 209681 213096 232399 236184 239460 266370 284128 295230 314912 319280 327840 355160 363360 383136 393640 419362 426192 464798 472368 478920 517031 532740 590460 629043 638560 697197 710320 787280 838724 852384 929596 944736 957840 1034062 1048405 1065480 1161995 1180920 1258086 1394394 1420640 1551093 1574560 1677448 1859192 1915680 2068124 2096810 2130960 2323990 2361840 2516172 2585155 2725853 2788788 3021187 3102186 3145215 3354896 3485985 3718384 4136248 4193620 4261920 4647980 4723680 5032344 5170310 5451706 5577576 6042374 6204372 6290430 6709792 6721403 6971970 7436768 7755465 8177559 8272496 8387240 9063561 9295960 10064688 10340620 10903412 11155152 12084748 12408744 12580860 13442806 13629265 13943940 15105935 15510930 16355118 16544992 16774480 18127122 18591920 20129376 20164209 20681240 21806824 22310304 24169496 24817488 25161720 26885612 27258530 27887880 30211870 31021860 32710236 33548960 33607015 36254244 37183840 40328418 40887795 41362480 43613648 45317805 48338992 49634976 50323440 53771224 54517060 55775760 60423740 62043720 65420472 67214030 72508488 80656836 81775590 82724960 87227296 90635610 96677984 100646880 100821045 107542448 109034120 111551520 120847480 124087440 130840944 134428060 145016976 158728517 161313672 163551180 181271220 201642090 215084896 218068240 241694960 248174880 261681888 268856120 290033952 317457034 322627344 327102360 362542440 403284180 436136480 476185551 483389920 537712240 634914068 645254688 654204720 725084880 793642585 806568360 952371102 1075424480 1269828136 1308409440 1450169760 1587285170 1613136720 1904742204 2063470721 2380927755 2539656272 3174570340 3226273440 3809484408 4126941442 4761855510 5079312544 6190412163 6349140680 7618968816 8253882884 9523711020 10317353605 12380824326 12698281360 15237937632 16507765768 19047422040 20634707210 24761648652 25396562720 30952060815 33015531536 38094844080 41269414420 49523297304 61904121630 66031063072 76189688160 82538828840 99046594608 123808243260 165077657680 198093189216 247616486520 330155315360 495232973040 990465946080
- Sum of all divisors σ(n): 3380304711168
- Sum of proper divisors (its aliquot sum) s(n): 2389838765088
- 990465946080 is an abundant number, because the sum of its proper divisors (2389838765088) is greater than itself. Its abundance is 1399372819008
Bases of 990465946080
- Binary: 11100110100111000101111011110001111000002
- Hexadecimal: 0xE69C5EF1E0
- Base-36: CN0HUN6O
Squares and roots of 990465946080
- 990465946080 squared (9904659460802) is 981022790344149467366400
- 990465946080 cubed (9904659460803) is 971669666164259490987989462003712000
-
The
square root of 990465946080 is 995221.5562777971 -
The
cube root of 990465946080 is 9968.1182839045
Scales and comparisons
How big is 990465946080?- 990,465,946,080 seconds is equal to 31,493 years, 39 weeks, 1 day, 5 hours, 28 minutes.
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To count from 1 to 990,465,946,080 would take you about sixty-two thousand, nine hundred eighty-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 990465946080 cubic inches would be around 830.7 feet tall.
Recreational maths with 990465946080
- 990465946080 backwards is 080649564099
- 990465946080 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 990465946080's digits is 60
- More coming soon!
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