990542400
990,542,400 is an even composite number composed of six prime numbers multiplied together.
990542400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 990542400:
26 × 3 × 52 × 17 × 61 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 61 × 199)See below for interesting mathematical facts about the number 990542400 from the Numbermatics database.
Names of 990542400
- Cardinal: 990542400 can be written as Nine hundred ninety million, five hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 9.905424 × 108
Factors of 990542400
Divisors of 990542400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 61 64 68 75 80 85 96 100 102 120 122 136 150 160 170 183 192 199 200 204 240 244 255 272 300 305 320 340 366 398 400 408 425 480 488 510 544 597 600 610 680 732 796 800 816 850 915 960 976 995 1020 1037 1088 1194 1200 1220 1275 1360 1464 1525 1592 1600 1632 1700 1830 1952 1990 2040 2074 2388 2400 2440 2550 2720 2928 2985 3050 3111 3184 3264 3383 3400 3660 3904 3980 4080 4148 4575 4776 4800 4880 4975 5100 5185 5440 5856 5970 6100 6222 6368 6766 6800 7320 7960 8160 8296 9150 9552 9760 9950 10149 10200 10370 11712 11940 12139 12200 12444 12736 13532 13600 14640 14925 15555 15920 16320 16592 16915 18300 19104 19520 19900 20298 20400 20740 23880 24278 24400 24888 25925 27064 27200 29280 29850 31110 31840 33184 33830 36417 36600 38208 39800 40596 40800 41480 47760 48556 48800 49776 50745 51850 54128 58560 59700 60695 62220 63680 66368 67660 72834 73200 77775 79600 81192 81600 82960 84575 95520 97112 97600 99552 101490 103700 108256 119400 121390 124440 135320 145668 146400 155550 159200 162384 165920 169150 182085 191040 194224 199104 202980 206363 207400 216512 238800 242780 248880 253725 270640 291336 292800 303475 311100 318400 324768 331840 338300 364170 388448 405960 412726 414800 477600 485560 497760 507450 541280 582672 606950 619089 622200 649536 676600 728340 776896 811920 825452 829600 910425 955200 971120 995520 1014900 1031815 1082560 1165344 1213900 1238178 1244400 1353200 1456680 1623840 1650904 1659200 1820850 1942240 2029800 2063630 2330688 2427800 2476356 2488800 2706400 2913360 3095445 3247680 3301808 3641700 3884480 4059600 4127260 4855600 4952712 4977600 5159075 5412800 5826720 6190890 6603616 7283400 8119200 8254520 9711200 9905424 10318150 11653440 12381780 13207232 14566800 15477225 16238400 16509040 19422400 19810848 20636300 24763560 29133600 30954450 33018080 39621696 41272600 49527120 58267200 61908900 66036160 82545200 99054240 123817800 165090400 198108480 247635600 330180800 495271200 990542400
- Sum of all divisors σ(n): 3514953600
- Sum of proper divisors (its aliquot sum) s(n): 2524411200
- 990542400 is an abundant number, because the sum of its proper divisors (2524411200) is greater than itself. Its abundance is 1533868800
Bases of 990542400
- Binary: 1110110000101001111010010000002
- Hexadecimal: 0x3B0A7A40
- Base-36: GDQREO
Squares and roots of 990542400
- 990542400 squared (9905424002) is 981174246197760000
- 990542400 cubed (9905424003) is 971894692646920065024000000
-
The
square root of 990542400 is 31472.8835666515 -
The
cube root of 990542400 is 996.8374756497
Scales and comparisons
How big is 990542400?- 990,542,400 seconds is equal to 31 years, 25 weeks, 5 days, 14 hours, 40 minutes.
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To count from 1 to 990,542,400 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 990542400 cubic inches would be around 83.1 feet tall.
Recreational maths with 990542400
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