990496016384000
990,496,016,384,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 990496016384000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
990496016384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 990496016384000:
214 × 53 × 74 × 173 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 41)See below for interesting mathematical facts about the number 990496016384000 from the Numbermatics database.
Names of 990496016384000
- Cardinal: 990496016384000 can be written as Nine hundred ninety trillion, four hundred ninety-six billion, sixteen million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 9.90496016384 × 1014
Factors of 990496016384000
Divisors of 990496016384000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 41 49 50 56 64 68 70 80 82 85 98 100 112 119 125 128 136 140 160 164 170 175 196 200 205 224 238 245 250 256 272 280 287 289 320 328 340 343 350 392 400 410 425 448 476 490 500 512 544 560 574 578 595 640 656 680 686 697 700 784 800 820 833 850 875 896 952 980 1000 1024 1025 1088 1120 1148 1156 1190 1225 1280 1312 1360 1372 1394 1400 1435 1445 1568 1600 1640 1666 1700 1715 1750 1792 1904 1960 2000 2009 2023 2048 2050 2125 2176 2240 2296 2312 2380 2401 2450 2560 2624 2720 2744 2788 2800 2870 2890 2975 3136 3200 3280 3332 3400 3430 3485 3500 3584 3808 3920 4000 4018 4046 4096 4100 4165 4250 4352 4480 4592 4624 4760 4802 4879 4900 4913 5120 5125 5248 5440 5488 5576 5600 5740 5780 5831 5950 6125 6272 6400 6560 6664 6800 6860 6970 7000 7168 7175 7225 7616 7840 8000 8036 8092 8192 8200 8330 8500 8575 8704 8960 9184 9248 9520 9604 9758 9800 9826 10045 10115 10240 10250 10496 10880 10976 11152 11200 11480 11560 11662 11849 11900 12005 12250 12544 12800 13120 13328 13600 13720 13940 14000 14063 14161 14336 14350 14450 14875 15232 15680 16000 16072 16184 16384 16400 16660 17000 17150 17408 17425 17920 18368 18496 19040 19208 19516 19600 19652 20090 20230 20480 20500 20825 20992 21760 21952 22304 22400 22960 23120 23324 23698 23800 24010 24395 24500 24565 25088 25600 26240 26656 27200 27440 27880 28000 28126 28322 28672 28700 28900 29155 29750 30464 31360 32000 32144 32368 32800 33320 34000 34153 34300 34391 34816 34850 35840 35875 36125 36736 36992 38080 38416 39032 39200 39304 40180 40460 40817 40960 41000 41650 41984 42875 43520 43904 44608 44800 45920 46240 46648 47396 47600 48020 48790 49000 49130 50176 50225 50575 51200 52480 53312 54400 54880 55760 56000 56252 56644 57344 57400 57800 58310 59245 59500 60025 60928 62720 64000 64288 64736 65600 66640 68000 68306 68600 68782 69632 69700 70315 70805 71680 71750 72250 73472 73984 76160 76832 78064 78400 78608 80360 80920 81634 81920 82000 82943 83300 83968 85750 87040 87125 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483640633000 489617408000 493029376000 495248008192 505355110400 520218496000 552732152000 565997723648 577548697600 582644715520 594535424000 603960985600 619060010240 631693888000 685464371200 690241126400 707497154560 710542336000 721935872000 728305894400 754951232000 773825012800 808568176640 832349593600 856830464000 862801408000 884371443200 910382368000 966337576960 967281266000 990496016384 1010710220800 1040436992000 1105464304000 1131995447296 1165289431040 1189070848000 1207921971200 1238120020480 1263387776000 1414994309120 1421084672000 1443871744000 1456611788800 1509902464000 1547650025600 1664699187200 1713660928000 1725602816000 1768742886400 1820764736000 1934562532000 1980992032768 2021420441600 2080873984000 2210928608000 2330578862080 2415843942400 2476240040960 2526775552000 2829988618240 2887743488000 2913223577600 3019804928000 3095300051200 3427321856000 3451205632000 3537485772800 3641529472000 3869125064000 3961984065536 4042840883200 4161747968000 4421857216000 4831687884800 4952480081920 5053551104000 5659977236480 5826447155200 6039609856000 6190600102400 7074971545600 7283058944000 7738250128000 7923968131072 8323495936000 8843714432000 9904960163840 10107102208000 11652894310400 12079219712000 12381200204800 14149943091200 14566117888000 15476500256000 17687428864000 19809920327680 20214204416000 24158439424000 24762400409600 28299886182400 29132235776000 30953000512000 35374857728000 39619840655360 49524800819200 58264471552000 61906001024000 70749715456000 99049601638400 123812002048000 141499430912000 198099203276800 247624004096000 495248008192000 990496016384000
- Sum of all divisors σ(n): 3139020715128480
- Sum of proper divisors (its aliquot sum) s(n): 2148524698744480
- 990496016384000 is an abundant number, because the sum of its proper divisors (2148524698744480) is greater than itself. Its abundance is 1158028682360480
Bases of 990496016384000
- Binary: 111000010011011001110100110011010101000000000000002
- Hexadecimal: 0x384D9D3354000
- Base-36: 9R3NL6B08W
Squares and roots of 990496016384000
- 990496016384000 squared (9904960163840002) is 981082358472573196435456000000
- 990496016384000 cubed (9904960163840003) is 971758167811703221991172676574511104000000000
-
The
square root of 990496016384000 is 31472146.6758147911 -
The
cube root of 990496016384000 is 99682.1915942839
Scales and comparisons
How big is 990496016384000?- 990,496,016,384,000 seconds is equal to 31,494,709 years, 26 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 990,496,016,384,000 would take you about seventy-eight million, seven hundred thirty-six thousand, seven hundred seventy-three 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 990496016384000 cubic inches would be around 8306.8 feet tall.
Recreational maths with 990496016384000
- 990496016384000 backwards is 000483610694099
- The number of decimal digits it has is: 15
- The sum of 990496016384000's digits is 59
- More coming soon!
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The information we have on file for 990496016384000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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