990084480
990,084,480 is an even composite number composed of seven prime numbers multiplied together.
990084480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 990084480:
27 × 3 × 5 × 7 × 11 × 37 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 37 × 181)See below for interesting mathematical facts about the number 990084480 from the Numbermatics database.
Names of 990084480
- Cardinal: 990084480 can be written as Nine hundred ninety million, eighty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.9008448 × 108
Factors of 990084480
Divisors of 990084480
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 37 40 42 44 48 55 56 60 64 66 70 74 77 80 84 88 96 105 110 111 112 120 128 132 140 148 154 160 165 168 176 181 185 192 210 220 222 224 231 240 259 264 280 296 308 320 330 336 352 362 370 384 385 407 420 440 444 448 462 480 518 528 543 555 560 592 616 640 660 672 704 724 740 770 777 814 840 880 888 896 905 924 960 1036 1056 1086 1110 1120 1155 1184 1221 1232 1267 1295 1320 1344 1408 1448 1480 1540 1554 1628 1680 1760 1776 1810 1848 1920 1991 2035 2072 2112 2172 2220 2240 2310 2368 2442 2464 2534 2590 2640 2688 2715 2849 2896 2960 3080 3108 3256 3360 3520 3552 3620 3696 3801 3885 3982 4070 4144 4224 4344 4440 4480 4620 4736 4884 4928 5068 5180 5280 5430 5698 5792 5920 5973 6105 6160 6216 6335 6512 6697 6720 7040 7104 7240 7392 7602 7770 7964 8140 8288 8547 8688 8880 9240 9768 9856 9955 10136 10360 10560 10860 11396 11584 11840 11946 12210 12320 12432 12670 13024 13394 13440 13937 14208 14245 14480 14784 15204 15540 15928 16280 16576 17094 17376 17760 18480 19005 19536 19910 20091 20272 20720 21120 21720 22792 23168 23680 23892 24420 24640 24864 25340 26048 26788 27874 28490 28960 29568 29865 30408 31080 31856 32560 33152 33485 34188 34752 35520 36960 38010 39072 39820 40182 40544 41440 41811 42735 43440 45584 46879 47784 48840 49280 49728 50680 52096 53576 55748 56980 57920 59730 60816 62160 63712 65120 66970 68376 69504 69685 71040 73667 73920 76020 78144 79640 80364 81088 82880 83622 85470 86880 91168 93758 95568 97680 99456 100455 101360 107152 111496 113960 115840 119460 121632 124320 127424 130240 133940 136752 139370 140637 147334 147840 152040 156288 159280 160728 162176 165760 167244 170940 173760 182336 187516 191136 195360 200910 202720 209055 214304 221001 222992 227920 234395 238920 243264 248640 254848 260480 267880 273504 278740 281274 294668 304080 318560 321456 334488 341880 347520 364672 368335 375032 382272 390720 401820 405440 418110 428608 442002 445984 455840 468790 477840 486528 497280 515669 535760 547008 557480 562548 589336 608160 637120 642912 668976 683760 703185 736670 750064 764544 781440 803640 810880 836220 857216 884004 891968 911680 937580 955680 1031338 1071520 1094016 1105005 1114960 1125096 1178672 1216320 1274240 1285824 1337952 1367520 1406370 1473340 1500128 1547007 1607280 1672440 1768008 1783936 1823360 1875160 1911360 2062676 2143040 2210010 2229920 2250192 2357344 2432640 2571648 2578345 2675904 2735040 2812740 2946680 3000256 3094014 3214560 3344880 3536016 3750320 3822720 4125352 4286080 4420020 4459840 4500384 4714688 5156690 5351808 5470080 5625480 5893360 6000512 6188028 6429120 6689760 7072032 7500640 7735035 8250704 8840040 8919680 9000768 9429376 10313380 11250960 11786720 12376056 12858240 13379520 14144064 15001280 15470070 16501408 17680080 18001536 20626760 22501920 23573440 24752112 26759040 28288128 30002560 30940140 33002816 35360160 41253520 45003840 47146880 49504224 61880280 66005632 70720320 82507040 90007680 99008448 123760560 141440640 165014080 198016896 247521120 330028160 495042240 990084480
- Sum of all divisors σ(n): 4063288320
- Sum of proper divisors (its aliquot sum) s(n): 3073203840
- 990084480 is an abundant number, because the sum of its proper divisors (3073203840) is greater than itself. Its abundance is 2083119360
Bases of 990084480
- Binary: 1110110000001101111101100000002
- Hexadecimal: 0x3B037D80
- Base-36: GDGY2O
Squares and roots of 990084480
- 990084480 squared (9900844802) is 980267277536870400
- 990084480 cubed (9900844803) is 970547417741108010811392000
-
The
square root of 990084480 is 31465.6078917919 -
The
cube root of 990084480 is 996.6838419181
Scales and comparisons
How big is 990084480?- 990,084,480 seconds is equal to 31 years, 25 weeks, 7 hours, 28 minutes.
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To count from 1 to 990,084,480 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 990084480 cubic inches would be around 83.1 feet tall.
Recreational maths with 990084480
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