990144960
990,144,960 is an even composite number composed of six prime numbers multiplied together.
990144960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 990144960:
26 × 3 × 5 × 73 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 31 × 97)See below for interesting mathematical facts about the number 990144960 from the Numbermatics database.
Names of 990144960
- Cardinal: 990144960 can be written as Nine hundred ninety million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9014496 × 108
Factors of 990144960
Divisors of 990144960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 62 64 70 80 84 93 96 97 98 105 112 120 124 140 147 155 160 168 186 192 194 196 210 217 224 240 245 248 280 291 294 310 320 336 343 372 388 392 420 434 448 465 480 485 490 496 560 582 588 620 651 672 679 686 735 744 776 784 840 868 930 960 970 980 992 1029 1085 1120 1164 1176 1240 1302 1344 1358 1372 1455 1470 1488 1519 1552 1568 1680 1715 1736 1860 1940 1960 1984 2037 2058 2170 2240 2328 2352 2480 2604 2716 2744 2910 2940 2976 3007 3038 3104 3136 3255 3360 3395 3430 3472 3720 3880 3920 4074 4116 4340 4557 4656 4704 4753 4960 5145 5208 5432 5488 5820 5880 5952 6014 6076 6208 6510 6720 6790 6860 6944 7440 7595 7760 7840 8148 8232 8680 9021 9114 9312 9408 9506 9920 10185 10290 10416 10633 10864 10976 11640 11760 12028 12152 13020 13580 13720 13888 14259 14880 15035 15190 15520 15680 16296 16464 17360 18042 18228 18624 19012 20370 20580 20832 21049 21266 21728 21952 22785 23280 23520 23765 24056 24304 26040 27160 27440 28518 29760 30070 30380 31040 31899 32592 32928 33271 34720 36084 36456 38024 40740 41160 41664 42098 42532 43456 45105 45570 46560 47040 47530 48112 48608 52080 53165 54320 54880 57036 60140 60760 63147 63798 65184 65856 66542 69440 71295 72168 72912 76048 81480 82320 84196 85064 90210 91140 93120 95060 96224 97216 99813 104160 105245 106330 108640 109760 114072 120280 121520 126294 127596 130368 133084 142590 144336 145824 147343 152096 159495 162960 164640 166355 168392 170128 180420 182280 190120 192448 199626 208320 210490 212660 217280 228144 240560 243040 252588 255192 266168 285180 288672 291648 294686 304192 315735 318990 325920 329280 332710 336784 340256 360840 364560 380240 399252 420980 425320 442029 456288 481120 486080 499065 505176 510384 532336 570360 577344 589372 631470 637980 651840 665420 673568 680512 721680 729120 736715 760480 798504 841960 850640 884058 912576 962240 998130 1010352 1020768 1031401 1064672 1140720 1178744 1262940 1275960 1330840 1347136 1443360 1458240 1473430 1520960 1597008 1683920 1701280 1768116 1996260 2020704 2041536 2062802 2129344 2210145 2281440 2357488 2525880 2551920 2661680 2886720 2946860 3094203 3194016 3367840 3402560 3536232 3992520 4041408 4125604 4420290 4562880 4714976 5051760 5103840 5157005 5323360 5893720 6188406 6388032 6735680 7072464 7985040 8251208 8840580 9429952 10103520 10207680 10314010 10646720 11787440 12376812 14144928 15471015 15970080 16502416 17681160 20207040 20628020 23574880 24753624 28289856 30942030 31940160 33004832 35362320 41256040 47149760 49507248 61884060 66009664 70724640 82512080 99014496 123768120 141449280 165024160 198028992 247536240 330048320 495072480 990144960
- Sum of all divisors σ(n): 3823411200
- Sum of proper divisors (its aliquot sum) s(n): 2833266240
- 990144960 is an abundant number, because the sum of its proper divisors (2833266240) is greater than itself. Its abundance is 1843121280
Bases of 990144960
- Binary: 1110110000010001101001110000002
- Hexadecimal: 0x3B0469C0
- Base-36: GDI8QO
Squares and roots of 990144960
- 990144960 squared (9901449602) is 980387041813401600
- 990144960 cubed (9901449603) is 970725288300848854695936000
-
The
square root of 990144960 is 31466.5689264019 -
The
cube root of 990144960 is 996.7041358803
Scales and comparisons
How big is 990144960?- 990,144,960 seconds is equal to 31 years, 25 weeks, 1 day, 16 minutes.
-
To count from 1 to 990,144,960 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 990144960 cubic inches would be around 83.1 feet tall.
Recreational maths with 990144960
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