990006494400
990,006,494,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990006494400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2352 divisors.
990006494400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 990006494400:
26 × 36 × 52 × 7 × 11 × 73 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 73 × 151)See below for interesting mathematical facts about the number 990006494400 from the Numbermatics database.
Names of 990006494400
- Cardinal: 990006494400 can be written as Nine hundred ninety billion, six million, four hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 9.900064944 × 1011
Factors of 990006494400
Divisors of 990006494400
- Number of divisors d(n): 2352
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 73 75 77 80 81 84 88 90 96 99 100 105 108 110 112 120 126 132 135 140 144 146 150 151 154 160 162 165 168 175 176 180 189 192 198 200 210 216 219 220 224 225 231 240 243 252 264 270 275 280 288 292 297 300 302 308 315 320 324 330 336 350 352 360 365 378 385 396 400 405 420 432 438 440 448 450 453 462 480 486 495 504 511 525 528 540 550 560 567 576 584 594 600 604 616 630 648 657 660 672 675 693 700 704 720 729 730 755 756 770 792 800 803 810 825 840 864 876 880 891 900 906 924 945 960 972 990 1008 1022 1050 1056 1057 1080 1095 1100 1120 1134 1155 1168 1188 1200 1208 1215 1232 1260 1296 1314 1320 1344 1350 1359 1386 1400 1440 1458 1460 1485 1510 1512 1533 1540 1575 1584 1600 1606 1620 1650 1661 1680 1701 1728 1752 1760 1782 1800 1812 1825 1848 1890 1925 1944 1971 1980 2016 2025 2044 2079 2100 2112 2114 2160 2190 2200 2240 2265 2268 2310 2336 2376 2400 2409 2416 2430 2464 2475 2520 2555 2592 2628 2640 2673 2700 2718 2772 2800 2835 2880 2916 2920 2970 3020 3024 3066 3080 3150 3168 3171 3212 3240 3285 3300 3322 3360 3402 3465 3504 3520 3564 3600 3624 3645 3650 3696 3775 3780 3850 3888 3942 3960 4015 4032 4050 4077 4088 4158 4200 4228 4320 4380 4400 4455 4530 4536 4599 4620 4672 4725 4752 4800 4818 4832 4860 4928 4950 4983 5040 5103 5110 5184 5256 5280 5285 5346 5400 5436 5475 5544 5600 5621 5670 5775 5832 5840 5913 5940 6040 6048 6075 6132 6160 6237 6300 6336 6342 6424 6480 6570 6600 6644 6720 6795 6804 6930 7008 7128 7200 7227 7248 7290 7300 7392 7425 7550 7560 7665 7700 7776 7884 7920 8019 8030 8100 8154 8176 8305 8316 8400 8456 8505 8640 8760 8800 8910 9060 9072 9198 9240 9450 9504 9513 9636 9664 9720 9855 9900 9966 10080 10206 10220 10395 10512 10560 10570 10692 10800 10872 10950 11023 11088 11200 11242 11325 11340 11550 11627 11664 11680 11826 11880 12045 12080 12096 12150 12231 12264 12320 12474 12600 12684 12775 12848 12960 13140 13200 13288 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68750451 69444900 69841728 70634025 71429040 71755200 72751800 72848160 74074560 74503800 75000492 75342960 76389390 77055300 77495616 78051600 78571944 79365600 80357670 80724600 80942400 81482016 81845775 81954180 82192320 83333880 83714400 84760830 84877100 85147200 85714848 87302160 87417792 88063200 88393437 89286300 89812800 90411552 91060200 91667268 92593200 93661920 93750615 94178700 95238720 96869520 97002400 98214930 99338400 100000656 100457280 101852520 102442725 102740400 104068800 104167350 104762592 107143560 107632800 109127700 109272240 111111840 112500738 113014440 114584085 116402880 117077400 117857916 119048400 119206080 121086900 121413600 122223024 123288480 123457600 125000820 125571600 127315650 128572272 129159360 130953240 131126688 133334208 133929450 135617328 135803360 136590300 136987200 137500902 138889800 141268050 142858080 145503600 145696320 147322395 149007600 150000984 150685920 152778780 154110600 156103200 156251025 157143888 158731200 160715340 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1428580800 1466676288 1473223950 1500009840 1506859200 1527787800 1571438880 1607153400 1639083600 1650010824 1666677600 1695216600 1718761275 1746043200 1767868740 1800011808 1833345360 1875012300 1885726656 1937390400 1964298600 2000013120 2037050400 2062513530 2142871200 2185444800 2200014432 2209835925 2250014760 2260288800 2291681700 2357158320 2444460480 2475016236 2500016400 2571445440 2619064800 2712346560 2750018040 2812518450 2828589984 2946447900 3000019680 3055575600 3093770295 3142877760 3214306800 3278167200 3300021648 3333355200 3390433200 3437522550 3535737480 3600023616 3666690720 3750024600 3928597200 4074100800 4125027060 4285742400 4400028864 4419671850 4500029520 4520577600 4583363400 4714316640 4950032472 5000032800 5156283825 5238129600 5500036080 5625036900 5657179968 5892895800 6000039360 6111151200 6187540590 6428613600 6556334400 6600043296 6780866400 6875045100 7071474960 7333381440 7500049200 7857194400 8250054120 8839343700 9000059040 9166726800 9428633280 9900064944 10000065600 10312567650 11000072160 11250073800 11785791600 12222302400 12375081180 12857227200 13200086592 13561732800 13750090200 14142949920 15000098400 15468851475 15714388800 16500108240 17678687400 18000118080 18333453600 19800129888 20625135300 22000144320 22500147600 23571583200 24750162360 27500180400 28285899840 30000196800 30937702950 33000216480 35357374800 36666907200 39600259776 41250270600 45000295200 47143166400 49500324720 55000360800 61875405900 66000432960 70714749600 82500541200 90000590400 99000649440 110000721600 123750811800 141429499200 165001082400 198001298880 247501623600 330002164800 495003247200 990006494400
- Sum of all divisors σ(n): 4646566076928
- Sum of proper divisors (its aliquot sum) s(n): 3656559582528
- 990006494400 is an abundant number, because the sum of its proper divisors (3656559582528) is greater than itself. Its abundance is 2666553088128
Bases of 990006494400
- Binary: 11100110100000001111110001000100110000002
- Hexadecimal: 0xE680FC44C0
- Base-36: CMSWB000
Squares and roots of 990006494400
- 990006494400 squared (9900064944002) is 980112858954177231360000
- 990006494400 cubed (9900064944003) is 970318095609586651055011344384000000
-
The
square root of 990006494400 is 994990.7006600615 -
The
cube root of 990006494400 is 9966.5767276117
Scales and comparisons
How big is 990006494400?- 990,006,494,400 seconds is equal to 31,479 years, 7 weeks, 3 days, 12 hours.
-
To count from 1 to 990,006,494,400 would take you about sixty-two thousand, nine hundred fifty-eight 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 990006494400 cubic inches would be around 830.5 feet tall.
Recreational maths with 990006494400
- 990006494400 backwards is 004494600099
- 990006494400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 990006494400's digits is 45
- More coming soon!
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"Number 990006494400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 990006494400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/990006494400/
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The information we have on file for 990006494400 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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