989990400
989,990,400 is an even composite number composed of six prime numbers multiplied together.
989990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 989990400:
29 × 3 × 52 × 7 × 29 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 127)See below for interesting mathematical facts about the number 989990400 from the Numbermatics database.
Names of 989990400
- Cardinal: 989990400 can be written as Nine hundred eighty-nine million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 9.899904 × 108
Factors of 989990400
Divisors of 989990400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 64 70 75 80 84 87 96 100 105 112 116 120 127 128 140 145 150 160 168 174 175 192 200 203 210 224 232 240 254 256 280 290 300 320 336 348 350 381 384 400 406 420 435 448 464 480 508 512 525 560 580 600 609 635 640 672 696 700 725 762 768 800 812 840 870 889 896 928 960 1015 1016 1050 1120 1160 1200 1218 1270 1280 1344 1392 1400 1450 1524 1536 1600 1624 1680 1740 1778 1792 1856 1905 1920 2030 2032 2100 2175 2240 2320 2400 2436 2540 2560 2667 2688 2784 2800 2900 3045 3048 3175 3200 3248 3360 3480 3556 3584 3683 3712 3810 3840 4060 4064 4200 4350 4445 4480 4640 4800 4872 5075 5080 5334 5376 5568 5600 5800 6090 6096 6350 6400 6496 6720 6960 7112 7366 7424 7620 7680 8120 8128 8400 8700 8890 8960 9280 9525 9600 9744 10150 10160 10668 10752 11049 11136 11200 11600 12180 12192 12700 12800 12992 13335 13440 13920 14224 14732 14848 15225 15240 16240 16256 16800 17400 17780 17920 18415 18560 19050 19200 19488 20300 20320 21336 22098 22225 22272 22400 23200 24360 24384 25400 25781 25984 26670 26880 27840 28448 29464 30450 30480 32480 32512 33600 34800 35560 36830 37120 38100 38400 38976 40600 40640 42672 44196 44450 44544 44800 46400 48720 48768 50800 51562 51968 53340 53760 55245 55680 56896 58928 60900 60960 64960 65024 66675 67200 69600 71120 73660 74240 76200 77343 77952 81200 81280 85344 88392 88900 89600 92075 92800 97440 97536 101600 103124 103936 106680 110490 111360 113792 117856 121800 121920 128905 129920 133350 134400 139200 142240 147320 152400 154686 155904 162400 162560 170688 176784 177800 184150 185600 194880 195072 203200 206248 213360 220980 222720 227584 235712 243600 243840 257810 259840 266700 268800 276225 278400 284480 294640 304800 309372 311808 324800 325120 341376 353568 355600 368300 371200 386715 389760 406400 412496 426720 441960 455168 471424 487200 487680 515620 519680 533400 552450 556800 568960 589280 609600 618744 644525 649600 682752 707136 711200 736600 773430 779520 812800 824992 853440 883920 942848 974400 975360 1031240 1066800 1104900 1113600 1137920 1178560 1219200 1237488 1289050 1299200 1365504 1414272 1422400 1473200 1546860 1559040 1625600 1649984 1706880 1767840 1885696 1933575 1948800 2062480 2133600 2209800 2275840 2357120 2438400 2474976 2578100 2598400 2828544 2844800 2946400 3093720 3299968 3413760 3535680 3867150 3897600 4124960 4267200 4419600 4714240 4876800 4949952 5156200 5657088 5689600 5892800 6187440 6599936 6827520 7071360 7734300 7795200 8249920 8534400 8839200 9428480 9899904 10312400 11379200 11785600 12374880 13199872 14142720 15468600 16499840 17068800 17678400 19799808 20624800 23571200 24749760 28285440 30937200 32999680 34137600 35356800 39599616 41249600 47142400 49499520 61874400 65999360 70713600 82499200 98999040 123748800 141427200 164998400 197998080 247497600 329996800 494995200 989990400
- Sum of all divisors σ(n): 3896893440
- Sum of proper divisors (its aliquot sum) s(n): 2906903040
- 989990400 is an abundant number, because the sum of its proper divisors (2906903040) is greater than itself. Its abundance is 1916912640
Bases of 989990400
- Binary: 1110110000001000001110000000002
- Hexadecimal: 0x3B020E00
- Base-36: GDEXHC
Squares and roots of 989990400
- 989990400 squared (9899904002) is 980080992092160000
- 989990400 cubed (9899904003) is 970270773393714315264000000
-
The
square root of 989990400 is 31464.1128907207 -
The
cube root of 989990400 is 996.6522718895
Scales and comparisons
How big is 989990400?- 989,990,400 seconds is equal to 31 years, 24 weeks, 6 days, 5 hours, 20 minutes.
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To count from 1 to 989,990,400 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 989990400 cubic inches would be around 83.1 feet tall.
Recreational maths with 989990400
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