990150480
990,150,480 is an even composite number composed of six prime numbers multiplied together.
990150480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 990150480:
24 × 34 × 5 × 11 × 29 × 479
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 479)See below for interesting mathematical facts about the number 990150480 from the Numbermatics database.
Names of 990150480
- Cardinal: 990150480 can be written as Nine hundred ninety million, one hundred fifty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.9015048 × 108
Factors of 990150480
Divisors of 990150480
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 33 36 40 44 45 48 54 55 58 60 66 72 80 81 87 88 90 99 108 110 116 120 132 135 144 145 162 165 174 176 180 198 216 220 232 240 261 264 270 290 297 319 324 330 348 360 396 405 432 435 440 464 479 495 522 528 540 580 594 638 648 660 696 720 783 792 810 870 880 891 957 958 990 1044 1080 1160 1188 1276 1296 1305 1320 1392 1437 1485 1566 1584 1595 1620 1740 1782 1914 1916 1980 2088 2160 2320 2349 2376 2395 2552 2610 2640 2871 2874 2970 3132 3190 3240 3480 3564 3828 3832 3915 3960 4176 4311 4455 4698 4752 4785 4790 5104 5220 5269 5742 5748 5940 6264 6380 6480 6960 7128 7185 7656 7664 7830 7920 8613 8622 8910 9396 9570 9580 10440 10538 11484 11496 11745 11880 12528 12760 12933 13891 14256 14355 14370 15312 15660 15807 17226 17244 17820 18792 19140 19160 20880 21076 21555 22968 22992 23490 23760 25520 25839 25866 26345 27782 28710 28740 31320 31614 34452 34488 35640 37584 38280 38320 38799 41673 42152 43065 43110 45936 46980 47421 51678 51732 52690 55564 57420 57480 62640 63228 64665 68904 68976 69455 71280 76560 77598 79035 83346 84304 86130 86220 93960 94842 103356 103464 105380 111128 114840 114960 125019 126456 129195 129330 137808 138910 142263 152801 155196 158070 166692 172260 172440 187920 189684 193995 206712 206928 208365 210760 222256 229680 237105 250038 252912 258390 258660 277820 284526 305602 310392 316140 333384 344520 344880 375057 379368 387990 413424 416730 421520 426789 458403 474210 500076 516780 517320 555640 569052 611204 620784 625095 632280 666768 689040 711315 750114 758736 764005 775980 833460 853578 916806 948420 1000152 1033560 1034640 1111280 1125171 1138104 1222408 1250190 1264560 1375209 1422630 1500228 1528010 1551960 1666920 1707156 1833612 1875285 1896840 2000304 2067120 2133945 2250342 2276208 2292015 2444816 2500380 2750418 2845260 3000456 3056020 3103920 3333840 3414312 3667224 3750570 3793680 4125627 4267890 4500684 4584030 5000760 5500836 5625855 5690520 6000912 6112040 6828624 6876045 7334448 7501140 8251254 8535780 9001368 9168060 10001520 11001672 11251710 11381040 12224080 12376881 13752090 15002280 16502508 17071560 18002736 18336120 20628135 22003344 22503420 24753762 27504180 30004560 33005016 34143120 36672240 41256270 45006840 49507524 55008360 61884405 66010032 82512540 90013680 99015048 110016720 123768810 165025080 198030096 247537620 330050160 495075240 990150480
- Sum of all divisors σ(n): 3889036800
- Sum of proper divisors (its aliquot sum) s(n): 2898886320
- 990150480 is an abundant number, because the sum of its proper divisors (2898886320) is greater than itself. Its abundance is 1908735840
Bases of 990150480
- Binary: 1110110000010001111111010100002
- Hexadecimal: 0x3B047F50
- Base-36: GDID00
Squares and roots of 990150480
- 990150480 squared (9901504802) is 980397973044230400
- 990150480 cubed (9901504803) is 970741523600771791790592000
-
The
square root of 990150480 is 31466.6566384165 -
The
cube root of 990150480 is 996.7059880659
Scales and comparisons
How big is 990150480?- 990,150,480 seconds is equal to 31 years, 25 weeks, 1 day, 1 hour, 48 minutes.
-
To count from 1 to 990,150,480 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 990150480 cubic inches would be around 83.1 feet tall.
Recreational maths with 990150480
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