990970917830400000
990,970,917,830,400,000 is an even composite number composed of six prime numbers multiplied together.
990970917830400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 990970917830400000:
211 × 3 × 55 × 136 × 172 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 17 × 17 × 37)See below for interesting mathematical facts about the number 990970917830400000 from the Numbermatics database.
Names of 990970917830400000
- Cardinal: 990970917830400000 can be written as Nine hundred ninety quadrillion, nine hundred seventy trillion, nine hundred seventeen billion, eight hundred thirty million, four hundred thousand.
Scientific notation
- Scientific notation: 9.909709178304 × 1017
Factors of 990970917830400000
Divisors of 990970917830400000
- Number of divisors d(n): 6048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 37 39 40 48 50 51 52 60 64 65 68 74 75 78 80 85 96 100 102 104 111 120 125 128 130 136 148 150 156 160 169 170 185 192 195 200 204 208 221 222 240 250 255 256 260 272 289 296 300 312 320 325 338 340 370 375 384 390 400 408 416 425 442 444 480 481 500 507 510 512 520 544 555 578 592 600 624 625 629 640 650 663 676 680 740 750 768 780 800 816 832 845 850 867 884 888 925 960 962 975 1000 1014 1020 1024 1040 1088 1105 1110 1156 1184 1200 1248 1250 1258 1275 1280 1300 1326 1352 1360 1443 1445 1480 1500 1536 1560 1600 1625 1632 1664 1690 1700 1734 1768 1776 1850 1875 1887 1920 1924 1950 2000 2028 2040 2048 2080 2125 2176 2197 2210 2220 2312 2368 2400 2405 2496 2500 2516 2535 2550 2560 2600 2652 2704 2720 2775 2873 2886 2890 2960 3000 3072 3120 3125 3145 3200 3250 3264 3315 3328 3380 3400 3468 3536 3552 3700 3750 3757 3774 3840 3848 3900 4000 4056 4080 4160 4225 4250 4335 4352 4394 4420 4440 4624 4625 4736 4800 4810 4875 4992 5000 5032 5070 5100 5120 5200 5304 5408 5440 5525 5550 5746 5772 5780 5920 6000 6144 6240 6250 6253 6290 6375 6400 6500 6528 6591 6630 6656 6760 6800 6936 7072 7104 7215 7225 7400 7500 7514 7548 7680 7696 7800 8000 8112 8125 8160 8177 8320 8450 8500 8619 8670 8704 8788 8840 8880 9248 9250 9375 9435 9472 9600 9620 9750 9984 10000 10064 10140 10200 10240 10400 10608 10625 10693 10816 10880 10985 11050 11100 11271 11492 11544 11560 11840 12000 12025 12480 12500 12506 12580 12675 12750 12800 13000 13056 13182 13260 13312 13520 13600 13872 13875 14144 14208 14365 14430 14450 14800 15000 15028 15096 15360 15392 15600 15725 16000 16224 16250 16320 16354 16575 16640 16900 17000 17238 17340 17408 17576 17680 17760 18496 18500 18750 18759 18785 18870 18944 19200 19240 19500 19968 20000 20128 20280 20400 20800 21125 21216 21250 21386 21632 21675 21760 21970 22100 22200 22542 22984 23088 23120 23125 23680 24000 24050 24375 24531 24960 25000 25012 25160 25350 25500 25600 26000 26112 26364 26520 26624 27040 27200 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10322613727400000 11658481386240000 12387136472880000 12704755356800000 13212945571072000 13391498889600000 14573101732800000 15245706428160000 15483920591100000 16516181963840000 19057133035200000 19430802310400000 19819418356608000 20645227454800000 24774272945760000 25409510713600000 26782997779200000 29146203465600000 30967841182200000 33032363927680000 38114266070400000 39638836713216000 41290454909600000 49548545891520000 58292406931200000 61935682364400000 66064727855360000 76228532140800000 82580909819200000 99097091783040000 123871364728800000 165161819638400000 198194183566080000 247742729457600000 330323639276800000 495485458915200000 990970917830400000
- Sum of all divisors σ(n): 3902926041083618640
- Sum of proper divisors (its aliquot sum) s(n): 2911955123253218640
- 990970917830400000 is an abundant number, because the sum of its proper divisors (2911955123253218640) is greater than itself. Its abundance is 1920984205422818640
Bases of 990970917830400000
- Binary: 1101110000001010001011001100101001000000011000011000000000002
- Hexadecimal: 0xDC0A2CCA4061800
- Base-36: 7J1HVEWTC9HC
Squares and roots of 990970917830400000
- 990970917830400000 squared (9909709178304000002) is 982023359985625388643164160000000000
- 990970917830400000 cubed (9909709178304000003) is 973156590375848496334261096146018238464000000000000000
-
The
square root of 990970917830400000 is 995475222.1077127343 -
The
cube root of 990970917830400000 is 996981.2019721785
Scales and comparisons
How big is 990970917830400000?- 990,970,917,830,400,000 seconds is equal to 31,509,809,912 years, 36 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 990,970,917,830,400,000 would take you about ninety-four billion, five hundred twenty-nine million, four hundred twenty-nine thousand, seven hundred thirty-eight 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 990970917830400000 cubic inches would be around 83081.8 feet tall.
Recreational maths with 990970917830400000
- 990970917830400000 backwards is 000004038719079099
- The number of decimal digits it has is: 18
- The sum of 990970917830400000's digits is 66
- More coming soon!
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The information we have on file for 990970917830400000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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