990039960
990,039,960 is an even composite number composed of seven prime numbers multiplied together.
990039960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990039960:
23 × 32 × 5 × 7 × 13 × 47 × 643
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 47 × 643)See below for interesting mathematical facts about the number 990039960 from the Numbermatics database.
Names of 990039960
- Cardinal: 990039960 can be written as Nine hundred ninety million, thirty-nine thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9003996 × 108
Factors of 990039960
Divisors of 990039960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 28 30 35 36 39 40 42 45 47 52 56 60 63 65 70 72 78 84 90 91 94 104 105 117 120 126 130 140 141 156 168 180 182 188 195 210 234 235 252 260 273 280 282 312 315 329 360 364 376 390 420 423 455 468 470 504 520 546 564 585 611 630 643 658 705 728 780 819 840 846 910 936 940 987 1092 1128 1170 1222 1260 1286 1316 1365 1410 1560 1638 1645 1692 1820 1833 1880 1929 1974 2115 2184 2340 2444 2520 2572 2632 2730 2820 2961 3055 3215 3276 3290 3384 3640 3666 3858 3948 4095 4230 4277 4501 4680 4888 4935 5144 5460 5499 5640 5787 5922 6110 6430 6552 6580 7332 7716 7896 8190 8359 8460 8554 9002 9165 9645 9870 10920 10998 11574 11844 12220 12831 12860 13160 13503 14664 14805 15432 16380 16718 16920 17108 18004 18330 19290 19740 21385 21996 22505 23148 23688 24440 25077 25662 25720 27006 27495 28935 29610 30221 32760 33436 34216 36008 36660 38493 38580 39480 40509 41795 42770 43992 45010 46296 50154 51324 54012 54990 57870 58513 59220 60442 64155 66872 67515 73320 75231 76986 77160 81018 83590 85540 90020 90663 100308 102648 108024 109980 115740 117026 118440 120884 125385 128310 135030 150462 151105 153972 162036 167180 171080 175539 180040 181326 192465 200616 202545 211547 219960 231480 234052 241768 250770 256620 270060 271989 292565 300924 302210 307944 324072 334360 351078 362652 376155 384930 392873 405090 423094 453315 468104 501540 513240 526617 540120 543978 585130 601848 604420 634641 702156 725304 752310 769860 785746 810180 846188 877695 906630 1003080 1053234 1057735 1087956 1170260 1178619 1208840 1269282 1359945 1404312 1504620 1539720 1571492 1620360 1692376 1755390 1813260 1903923 1964365 2106468 2115470 2175912 2340520 2357238 2538564 2633085 2719890 2750111 3009240 3142984 3173205 3510780 3535857 3626520 3807846 3928730 4212936 4230940 4714476 5077128 5266170 5439780 5500222 5893095 6346410 7021560 7071714 7615692 7857460 8250333 8461880 9428952 9519615 10532340 10879560 11000444 11786190 12692820 13750555 14143428 15231384 15714920 16500666 17679285 19039230 21064680 22000888 23572380 24750999 25385640 27501110 28286856 33001332 35358570 38078460 41251665 47144760 49501998 55002220 66002664 70717140 76156920 82503330 99003996 110004440 123754995 141434280 165006660 198007992 247509990 330013320 495019980 990039960
- Sum of all divisors σ(n): 4050708480
- Sum of proper divisors (its aliquot sum) s(n): 3060668520
- 990039960 is an abundant number, because the sum of its proper divisors (3060668520) is greater than itself. Its abundance is 2070628560
Bases of 990039960
- Binary: 1110110000001011001111100110002
- Hexadecimal: 0x3B02CF98
- Base-36: GDFZQ0
Squares and roots of 990039960
- 990039960 squared (9900399602) is 980179122396801600
- 990039960 cubed (9900399603) is 970416499130564560191936000
-
The
square root of 990039960 is 31464.9004447813 -
The
cube root of 990039960 is 996.6689027787
Scales and comparisons
How big is 990039960?- 990,039,960 seconds is equal to 31 years, 24 weeks, 6 days, 19 hours, 6 minutes.
-
To count from 1 to 990,039,960 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 990039960 cubic inches would be around 83.1 feet tall.
Recreational maths with 990039960
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