980947968
980,947,968 is an even composite number composed of six prime numbers multiplied together.
980947968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 980947968:
210 × 3 × 7 × 112 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 13 × 29)See below for interesting mathematical facts about the number 980947968 from the Numbermatics database.
Names of 980947968
- Cardinal: 980947968 can be written as Nine hundred eighty million, nine hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.80947968 × 108
Factors of 980947968
Divisors of 980947968
- Number of divisors d(n): 528
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 29 32 33 39 42 44 48 52 56 58 64 66 77 78 84 87 88 91 96 104 112 116 121 128 132 143 154 156 168 174 176 182 192 203 208 224 231 232 242 256 264 273 286 308 312 319 336 348 352 363 364 377 384 406 416 429 448 462 464 484 512 528 546 572 609 616 624 638 672 696 704 726 728 754 768 812 832 847 858 896 924 928 957 968 1001 1024 1056 1092 1131 1144 1218 1232 1248 1276 1344 1392 1408 1452 1456 1508 1536 1573 1624 1664 1694 1716 1792 1848 1856 1914 1936 2002 2112 2184 2233 2262 2288 2436 2464 2496 2541 2552 2639 2688 2784 2816 2904 2912 3003 3016 3072 3146 3248 3328 3388 3432 3509 3584 3696 3712 3828 3872 4004 4147 4224 4368 4466 4524 4576 4719 4872 4928 4992 5082 5104 5278 5376 5568 5632 5808 5824 6006 6032 6292 6496 6656 6699 6776 6864 7018 7168 7392 7424 7656 7744 7917 8008 8294 8448 8736 8932 9048 9152 9438 9744 9856 9984 10164 10208 10527 10556 10752 11011 11136 11264 11616 11648 12012 12064 12441 12584 12992 13312 13398 13552 13728 14036 14784 14848 15312 15488 15834 16016 16588 16896 17472 17864 18096 18304 18876 19488 19712 19968 20328 20416 21054 21112 21504 22022 22272 23232 23296 24024 24128 24563 24882 25168 25984 26796 27104 27456 28072 29029 29568 29696 30624 30976 31668 32032 33033 33176 33792 34944 35728 36192 36608 37752 38976 39424 39936 40656 40832 42108 42224 44044 44544 45617 46464 46592 48048 48256 49126 49764 50336 51968 53592 54208 54912 56144 58058 59136 61248 61952 63336 64064 66066 66352 69888 71456 72384 73216 73689 75504 77952 78848 81312 81664 84216 84448 87087 88088 89088 91234 92928 93184 96096 96512 98252 99528 100672 103936 107184 108416 109824 112288 116116 118272 122496 123904 126672 128128 132132 132704 136851 139776 142912 144768 146432 147378 151008 155904 162624 163328 168432 168896 174174 176176 182468 185856 192192 193024 196504 199056 201344 207872 214368 216832 219648 224576 232232 236544 244992 253344 256256 264264 265408 273702 279552 285824 289536 294756 302016 311808 319319 325248 326656 336864 337792 348348 352352 364936 371712 384384 386048 393008 398112 402688 428736 433664 439296 449152 464464 489984 506688 512512 528528 530816 547404 571648 579072 589512 604032 623616 638638 650496 673728 675584 696696 704704 729872 768768 786016 796224 805376 857472 867328 898304 928928 957957 979968 1013376 1025024 1057056 1061632 1094808 1143296 1158144 1179024 1208064 1277276 1300992 1347456 1351168 1393392 1409408 1459744 1537536 1572032 1592448 1610752 1714944 1796608 1857856 1915914 2026752 2114112 2123264 2189616 2286592 2358048 2416128 2554552 2601984 2694912 2702336 2786784 2818816 2919488 3075072 3144064 3184896 3429888 3593216 3715712 3831828 4053504 4228224 4246528 4379232 4716096 4832256 5109104 5389824 5573568 5637632 5838976 6288128 6369792 6859776 7431424 7663656 8107008 8456448 8758464 9432192 10218208 10779648 11147136 11275264 11677952 12576256 12739584 14862848 15327312 16912896 17516928 18864384 20436416 22294272 23355904 25152512 29725696 30654624 33825792 35033856 37728768 40872832 44588544 46711808 61309248 70067712 75457536 81745664 89177088 122618496 140135424 163491328 245236992 326982656 490473984 980947968
- Sum of all divisors σ(n): 3659053440
- Sum of proper divisors (its aliquot sum) s(n): 2678105472
- 980947968 is an abundant number, because the sum of its proper divisors (2678105472) is greater than itself. Its abundance is 1697157504
Bases of 980947968
- Binary: 1110100111100000010100000000002
- Hexadecimal: 0x3A781400
- Base-36: G814AO
Squares and roots of 980947968
- 980947968 squared (9809479682) is 962258915923329024
- 980947968 cubed (9809479683) is 943925928264872449888223232
-
The
square root of 980947968 is 31320.0888887627 -
The
cube root of 980947968 is 993.6085591821
Scales and comparisons
How big is 980947968?- 980,947,968 seconds is equal to 31 years, 9 weeks, 6 days, 13 hours, 32 minutes, 48 seconds.
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To count from 1 to 980,947,968 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 980947968 cubic inches would be around 82.8 feet tall.
Recreational maths with 980947968
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The information we have on file for 980947968 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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