980116800
980,116,800 is an even composite number composed of six prime numbers multiplied together.
980116800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 980116800:
26 × 3 × 52 × 13 × 113 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 113 × 139)See below for interesting mathematical facts about the number 980116800 from the Numbermatics database.
Names of 980116800
- Cardinal: 980116800 can be written as Nine hundred eighty million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 9.801168 × 108
Factors of 980116800
Divisors of 980116800
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 113 120 130 139 150 156 160 192 195 200 208 226 240 260 278 300 312 320 325 339 390 400 416 417 452 480 520 556 565 600 624 650 678 695 780 800 832 834 904 960 975 1040 1112 1130 1200 1248 1300 1356 1390 1469 1560 1600 1668 1695 1807 1808 1950 2080 2085 2224 2260 2400 2496 2600 2712 2780 2825 2938 3120 3336 3390 3475 3614 3616 3900 4160 4170 4407 4448 4520 4800 5200 5421 5424 5560 5650 5876 6240 6672 6780 6950 7228 7232 7345 7800 8340 8475 8814 8896 9035 9040 10400 10425 10842 10848 11120 11300 11752 12480 13344 13560 13900 14456 14690 15600 15707 16680 16950 17628 18070 18080 20800 20850 21684 21696 22035 22240 22600 23504 26688 27105 27120 27800 28912 29380 31200 31414 33360 33900 35256 36140 36160 36725 41700 43368 44070 44480 45175 45200 47008 47121 54210 54240 55600 57824 58760 62400 62828 66720 67800 70512 72280 73450 78535 83400 86736 88140 90350 90400 94016 94242 108420 108480 110175 111200 115648 117520 125656 133440 135525 135600 141024 144560 146900 157070 166800 173472 176280 180700 180800 188484 204191 216840 220350 222400 235040 235605 251312 271050 271200 282048 289120 293800 314140 333600 346944 352560 361400 376968 392675 408382 433680 440700 470080 471210 502624 542100 542400 578240 587600 612573 628280 667200 705120 722800 753936 785350 816764 867360 881400 942420 1005248 1020955 1084200 1175200 1178025 1225146 1256560 1410240 1445600 1507872 1570700 1633528 1734720 1762800 1884840 2041910 2168400 2350400 2356050 2450292 2513120 2891200 3015744 3062865 3141400 3267056 3525600 3769680 4083820 4336800 4712100 4900584 5026240 5104775 6125730 6282800 6534112 7051200 7539360 8167640 8673600 9424200 9801168 10209550 12251460 12565600 13068224 15078720 15314325 16335280 18848400 19602336 20419100 24502920 25131200 30628650 32670560 37696800 39204672 40838200 49005840 61257300 65341120 75393600 81676400 98011680 122514600 163352800 196023360 245029200 326705600 490058400 980116800
- Sum of all divisors σ(n): 3518733120
- Sum of proper divisors (its aliquot sum) s(n): 2538616320
- 980116800 is an abundant number, because the sum of its proper divisors (2538616320) is greater than itself. Its abundance is 1558499520
Bases of 980116800
- Binary: 1110100110101101100101010000002
- Hexadecimal: 0x3A6B6540
- Base-36: G7JAYO
Squares and roots of 980116800
- 980116800 squared (9801168002) is 960628941642240000
- 980116800 cubed (9801168003) is 941528564269779013632000000
-
The
square root of 980116800 is 31306.8171489853 -
The
cube root of 980116800 is 993.3278480647
Scales and comparisons
How big is 980116800?- 980,116,800 seconds is equal to 31 years, 8 weeks, 3 days, 22 hours, 40 minutes.
-
To count from 1 to 980,116,800 would take you about forty-six 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 980116800 cubic inches would be around 82.8 feet tall.
Recreational maths with 980116800
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